{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,16]],"date-time":"2026-07-16T05:14:11Z","timestamp":1784178851710,"version":"3.55.0"},"reference-count":295,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2019,11,12]],"date-time":"2019-11-12T00:00:00Z","timestamp":1573516800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"},{"start":{"date-parts":[[2019,11,12]],"date-time":"2019-11-12T00:00:00Z","timestamp":1573516800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["srcd.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2019,11,12]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>We explore a long-observed phenomenon in children\u2019s cognitive development known as size seriation. It is not until children are around 7 years of age that they spontaneously use a strict ascending or descending order of magnitude to organize sets of objects differing in size. Incomplete and inaccurate ordering shown by younger children has been thought to be related to their incomplete grasp of the mathematical concept of a unit. Piaget first brought attention to children\u2019s difficulties in solving ordering and size-matching tests, but his tasks and explanations have been progressively neglected due to major theoretical shifts in scholarship on developmental cognition. A cogent alternative to his account has never emerged, leaving size seriation and related abilities as an unexplained case of discontinuity in mental growth. In this monograph, we use a new training methodology, together with computational modeling of the data to offer a new explanation of size seriation development and the emergence of related skills.<\/jats:p>\n                  <jats:p>We describe a connected set of touchscreen tasks that measure the abilities of 5- and 7-year-old children to (a) learn a linear size sequence of five or seven items and (b) identify unique (unit) values within those same sets, such as second biggest and middle-sized. Older children required little or no training to succeed in the sequencing tasks, whereas younger children evinced trial-and-error performance. Marked age differences were found on ordinal identification tasks using matching-to-sample and other methods. Confirming Piaget\u2019s findings, these tasks generated learning data with which to develop a computational model of the change.<\/jats:p>\n                  <jats:p>Using variables to represent working and long-term memory (WM and LTM), the computational model represents the information processing of the younger child in terms of a perception-action feedback loop, resulting in a heuristic for achieving a correct sequence. To explain why older children do not require training on the size task, it was hypothesized that an increase in WM to a certain threshold level provides the information-processing capacity to allow the participant to start to detect a minimum interval between each item in the selection. The probabilistic heuristic is thus thought to be replaced during a transitional stage by a serial algorithm that guarantees success. The minimum interval discovery has the effect of controlling search for the next item in a principled monotonic direction. Through a minor additional processing step, this algorithm permits relatively easy identification of ordinal values.<\/jats:p>\n                  <jats:p>The model was tested by simulating the perceptual learning and action selection processes thought to be taking place during trial-and-error sequencing. Error distributions were generated across each item in the sequence and these were found to correspond to the error patterns shown by 5-year-olds. The algorithm that is thought to emerge from successful learning was also tested. It simulated high levels of success on seriation and also on ordinal identification tasks, as shown by 7-year-olds.<\/jats:p>\n                  <jats:p>An unexpected finding from the empirical studies was that, unlike adults, the 7-year-old children showed marked difficulty when they had to compute ordinal size values in tasks that did not permit the use of the serial algorithm. For example, when required to learn a non-monotonic sequence where the ordinal values were in a fixed random order such as \u201csecond biggest, middle-sized, smallest, second smallest, biggest,\u201d each item has to be found without reference to the \u201csmallest difference\u201d rule used by the algorithm. The difficulty evinced by 7-year-olds was consistent with the idea that the information in LTM is integrally tied to the search procedure itself as a search-and-stop based on a cumulative tally, as distinct from being accessed from a more permanent and atemporal store of stand-alone ordinal values in LTM. The implications of this possible constraint in understanding are discussed in terms of further developmental changes.<\/jats:p>\n                  <jats:p>We conclude that the seriation behavior shown by children at around 7 years represents a qualitative shift in their understanding but not in the sense that Piaget first proposed. We see the emergent algorithm as an information-reducing device, representing a default strategy for how humans come to deal with potentially complex sets of relations. We argue this with regard to counting behaviors in children and also with regard to how linear monotonic devices for resolving certain logical tasks endure into adulthood.<\/jats:p>\n                  <jats:p>Insofar as the monograph reprises any aspect of the Piagetian account, it is in his highlighting of an important cognitive discontinuity in logicomathematical understanding at around the age of 7, and his quest for understanding the transactions with the physical world that lead to it.<\/jats:p>","DOI":"10.1111\/mono.12411","type":"journal-article","created":{"date-parts":[[2019,11,12]],"date-time":"2019-11-12T04:09:56Z","timestamp":1573531796000},"page":"7-202","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["The Development of Size Sequencing Skills: An Empirical and Computational Analysis"],"prefix":"10.1093","volume":"84","author":[{"given":"Maggie","family":"McGonigle-Chalmers","sequence":"first","affiliation":[{"name":"Department of Psychology, University of Edinburgh"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Iain","family":"Kusel","sequence":"additional","affiliation":[{"name":"Department of Psychology, University of Edinburgh. Now affiliated with the Sword Group"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2019,11,12]]},"reference":[{"issue":"4","key":"2026010914115755100_mono12411-bib-0001","first-page":"840","article-title":"A longitudinal study of developmental synchrony between conceptual identity, seriation, and transitivity of color, number, and length","volume":"46","author":"Achenbach","year":"1975","journal-title":"Child Development"},{"key":"2026010914115755100_mono12411-bib-0002","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780195324259.001.0001","volume-title":"How can the human mind occur in the physical universe?","author":"Anderson","year":"2007"},{"key":"2026010914115755100_mono12411-bib-0003","doi-asserted-by":"crossref","first-page":"695","DOI":"10.2307\/1130057","article-title":"Perception of numerical invariance in neonates","volume":"54","author":"Antell","year":"1983","journal-title":"Child Development"},{"issue":"11","key":"2026010914115755100_mono12411-bib-0004","doi-asserted-by":"crossref","first-page":"1728","DOI":"10.1162\/089892905774589271","article-title":"FROST: A distributed neurocomputational model of working memory maintenance","volume":"17","author":"Ashby","year":"2005","journal-title":"Journal of Cognitive Neuroscience"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0005","doi-asserted-by":"crossref","first-page":"1945","DOI":"10.1111\/cogs.12615","article-title":"Children\u2019s understanding of the natural numbers\u2019 structure","volume":"42","author":"Asmuth","year":"2018","journal-title":"Cognitive Science"},{"key":"2026010914115755100_mono12411-bib-0006","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/S0079-7421(08)60422-3","article-title":"Human memory: A proposed system and its control processes","author":"Atkinson","year":"1968","journal-title":"The Psychology of Learning and Motivation: II"},{"issue":"1\u20133","key":"2026010914115755100_mono12411-bib-0007","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/0010-0277(81)90020-2","article-title":"The concept of working memory: A view of its current state and probable future development","volume":"10","author":"Baddeley","year":"1981","journal-title":"Cognition"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0008","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1017\/S0033291700003536","article-title":"The fractionation of human memory","volume":"14","author":"Baddeley","year":"1984","journal-title":"Psychological Medicine"},{"issue":"5044","key":"2026010914115755100_mono12411-bib-0009","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1126\/science.1736359","article-title":"Working memory","volume":"255","author":"Baddeley","year":"1992","journal-title":"Science"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0010","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1017\/S0140525X97001611","article-title":"Deictic codes for the embodiment of cognition","volume":"20","author":"Ballard","year":"1997","journal-title":"Behavioral and Brain Sciences"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0011","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/1866-1955-5-14","article-title":"Working memory deficits in high-functioning adolescents with autism spectrum disorders: Neuropsychological and neuroimaging correlates","volume":"5","author":"Barendse","year":"2013","journal-title":"Journal of Neurodevelopmental Disorders"},{"key":"2026010914115755100_mono12411-bib-0012","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1017\/CBO9781139174909.012","volume-title":"Models of working memory: Mechanisms of active maintenance Development of active maintenance and executive control","author":"Barnard","year":"1999"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0013","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1016\/j.jecp.2009.01.014","article-title":"Children\u2019s multiplicative transformations of discrete and continuous quantities","volume":"103","author":"Barth","year":"2009","journal-title":"Journal of Experimental Child Psychology"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0014","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1037\/0012-1649.41.4.579","article-title":"Mapping the developmental constraints on working memory span performance","volume":"41","author":"Bayliss","year":"2005","journal-title":"Developmental Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0015","first-page":"167","article-title":"An information processing model of some seriation tasks","volume":"14","author":"Baylor","year":"1973","journal-title":"Canadian Psychologist\/Psychologie Canadienne"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0016","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1037\/h0081893","article-title":"Experiments in seriation with children: Towards an information processing explanation of the horizontal decalage","volume":"7","author":"Baylor","year":"1975","journal-title":"Canadian Journal of Behavioural Science\/Revue Canadienne des Sciences du Comportement"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0017","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/S0732-118X(99)00013-6","article-title":"Is Piaget truly an epistemologist? Commentary on Leslie Smith\u2019s \u201cEpistemological principles for developmental psychology in Frege and Piaget\u201d","volume":"17","author":"Beilin","year":"1999","journal-title":"New Ideas in Psychology"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0018","doi-asserted-by":"crossref","first-page":"304","DOI":"10.1016\/j.cognition.2012.05.015","article-title":"Representation of numerical and non-numerical order in children","volume":"124","author":"Berteletti","year":"2012","journal-title":"Cognition"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0019","doi-asserted-by":"crossref","first-page":"1641","DOI":"10.1111\/j.1467-8624.2010.01499.x","article-title":"A developmental perspective on executive function","volume":"81","author":"Best","year":"2010","journal-title":"Child Development"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0020","first-page":"43","article-title":"Beyond the stage debate: Action, structure, and variability in Piagetian theory and research","volume":"54","author":"Bidell","year":"1992","journal-title":"Philosophica"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0021","doi-asserted-by":"crossref","first-page":"379","DOI":"10.3102\/00028312011004379","article-title":"Classification and seriation instruction and logical task performance in the preschool","volume":"11","author":"Bingham-Newman","year":"1974","journal-title":"American Educational Research Journal"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0022","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1080\/00221325.1987.10532482","article-title":"Development of the ability to insert into a series","volume":"148","author":"Blevins-Knabe","year":"1987","journal-title":"The Journal of Genetic Psychology"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0023","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1080\/00221325.1987.10532484","article-title":"Remembering and constructing an order","volume":"148","author":"Blevins-Knabe","year":"1987","journal-title":"The Journal of Genetic Psychology"},{"key":"2026010914115755100_mono12411-bib-0024","volume-title":"The philosophy of artificial life","author":"Boden","year":"1996"},{"issue":"Part B","key":"2026010914115755100_mono12411-bib-0025","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/j.jmp.2015.11.003","article-title":"A tutorial on the free-energy framework for modelling perception and learning","volume":"76","author":"Bogacz","year":"2017","journal-title":"Journal of Mathematical Psychology"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0026","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.humov.2008.07.002","article-title":"Language comprehension and dominant hand motion simulation","volume":"28","author":"Borghi","year":"2009","journal-title":"Human Movement Science"},{"key":"2026010914115755100_mono12411-bib-0027","first-page":"235","volume-title":"Attention, memory, and executive function","author":"Borkowski","year":"1996"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0028","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1016\/j.cogdev.2012.02.004","article-title":"Inhibitory control in number-conservation and class-inclusion tasks: A neo-Piagetian inter-task priming study","volume":"27","author":"Borst","year":"2012","journal-title":"Cognitive Development"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0029","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.dr.2006.08.001","article-title":"Development and individual differences in transitive reasoning: A fuzzy trace theory approach","volume":"27","author":"Bouwmeester","year":"2007","journal-title":"Developmental Review"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0030","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1016\/0022-0965(71)90074-9","article-title":"Development of the object concept as manifested in changes in the tracking behavior of infants between 7 and 20 weeks of age","volume":"11","author":"Bower","year":"1971","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0031","doi-asserted-by":"crossref","first-page":"799","DOI":"10.2307\/1126505","article-title":"Development of a grasp of transitivity of length: A reply to Smedslund","volume":"35","author":"Braine","year":"1964","journal-title":"Child Development"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0032","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1017\/S0140525X00073842","article-title":"The stage question in cognitive-developmental theory","volume":"1","author":"Brainerd","year":"1978","journal-title":"Behavioral and Brain Sciences"},{"key":"2026010914115755100_mono12411-bib-0033","volume-title":"Vehicles","author":"Braitenberg","year":"1984"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0034","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1037\/0033-2909.89.2.325","article-title":"Reevaluation of the literature on the development of transitive inferences","volume":"89","author":"Breslow","year":"1981","journal-title":"Psychological Bulletin"},{"key":"2026010914115755100_mono12411-bib-0035","doi-asserted-by":"crossref","DOI":"10.1007\/BF02694634","volume-title":"Conversations with Jean Piaget","author":"Bringuier","year":"1980"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0036","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1037\/h0044160","article-title":"The course of cognitive growth","volume":"19","author":"Bruner","year":"1964","journal-title":"American Psychologist"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0037","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1037\/h0082418","article-title":"The understanding of invariance by very young children","volume":"26","author":"Bryant","year":"1972","journal-title":"Canadian Journal of Psychology\/Revue Canadienne de Psychologie"},{"key":"2026010914115755100_mono12411-bib-0038","volume-title":"Perception and understanding in young children: An experimental approach","author":"Bryant","year":"1974"},{"key":"2026010914115755100_mono12411-bib-0039","doi-asserted-by":"crossref","first-page":"456","DOI":"10.1038\/232456a0","article-title":"Transitive inferences and memory in young children","volume":"232","author":"Bryant","year":"1971","journal-title":"Nature"},{"issue":"9","key":"2026010914115755100_mono12411-bib-0040","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1016\/j.tics.2004.07.003","article-title":"Adaptive neural models of queuing and timing in fluent action","volume":"8","author":"Bullock","year":"2004","journal-title":"Trends in Cognitive Sciences"},{"key":"2026010914115755100_mono12411-bib-0041","first-page":"146","article-title":"Knowing levels and developmental stages","volume":"16","author":"Campbell","year":"1986","journal-title":"Contributions to Human Development"},{"key":"2026010914115755100_mono12411-bib-0042","volume-title":"Intellectual development: Birth to adulthood","author":"Case","year":"1985"},{"key":"2026010914115755100_mono12411-bib-0043","first-page":"1","volume-title":"The new structuralism in cognitive development: Theory and research on individual pathways","author":"Case","year":"1993"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0044","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/0022-0965(84)90009-2","article-title":"Are children any more logical than monkeys on the five-term series problem?","volume":"37","author":"Chalmers","year":"1984","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0045","first-page":"183","volume-title":"Piaget, Vygotsky and beyond","author":"Chalmers","year":"1997"},{"key":"2026010914115755100_mono12411-bib-0046","volume-title":"Constructive evolution: Origins and development of Piaget\u2019s thought","author":"Chapman","year":"1988"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0047","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/0022-0965(89)90031-3","article-title":"Concrete operations and attentional capacity","volume":"47","author":"Chapman","year":"1989","journal-title":"Journal of Experimental Child Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0048","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1037\/0012-1649.28.2.319","article-title":"Beyond competence and performance: Children\u2019s class inclusion strategies, superordinate class cues, and verbal justifications","volume":"28","author":"Chapman","year":"1992","journal-title":"Developmental Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0049","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/1540-5834.00074","article-title":"Across the great divide: Bridging the gap between understanding of toddlers\u2019 and older children\u2019s thinking","volume":"65","author":"Chen","year":"2000","journal-title":"Monographs of the Society for Research in Child Development"},{"key":"2026010914115755100_mono12411-bib-0050","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/j.jecp.2017.12.010","article-title":"Children\u2019s early understanding of number predicts their later problem-solving sophistication in addition","volume":"169","author":"Chu","year":"2018","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0051","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780195333213.001.0001","volume-title":"Supersizing the mind: Embodiment, action and cognitive extension","author":"Clark","year":"2008"},{"key":"2026010914115755100_mono12411-bib-0052","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780190217013.001.0001","volume-title":"Surfing uncertainty: Prediction, action, and the embodied mind","author":"Clark","year":"2016"},{"key":"2026010914115755100_mono12411-bib-0053","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1037\/h0028153","article-title":"Influence of language on solving three-term series problems","volume":"82","author":"Clark","year":"1969","journal-title":"Journal of Experimental Psychology"},{"key":"2026010914115755100_mono12411-bib-0054","first-page":"269","volume-title":"Cognition and the development of language","author":"Clark","year":"1970"},{"key":"2026010914115755100_mono12411-bib-0055","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/B978-0-12-505850-6.50008-6","volume-title":"Cognitive development and the acquisition of language","author":"Clark","year":"1973"},{"key":"2026010914115755100_mono12411-bib-0056","volume-title":"Piaget: Critique and reassessment","author":"Cohen","year":"1983"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0057","doi-asserted-by":"crossref","first-page":"1640","DOI":"10.1037\/a0035901","article-title":"Children\u2019s number-line estimation shows development of measurement skills (not number representations)","volume":"50","author":"Cohen","year":"2014","journal-title":"Developmental Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0058","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.jecp.2012.03.005","article-title":"One first? Acquisition of the cardinal and ordinal uses of numbers in preschoolers","volume":"113","author":"Colom\u00e9","year":"2012","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0059","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/j.jmp.2016.06.002","article-title":"Executive functions and the generation of \u201crandom\u201d sequential responses: A computational account","volume":"73","author":"Cooper","year":"2016","journal-title":"Journal of Mathematical Psychology"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0060","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1111\/desc.12108","article-title":"Dissociation between small and large numerosities in newborn infants","volume":"17","author":"Coubart","year":"2014","journal-title":"Developmental Science"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0061","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1111\/j.2044-8279.1989.tb03091.x","article-title":"Children\u2019s use of counting and guidelines in judging relative number","volume":"59","author":"Cowan","year":"1989","journal-title":"British Journal of Educational Psychology"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0062","doi-asserted-by":"crossref","first-page":"4","DOI":"10.5951\/AT.11.1.0004","article-title":"The effects of instruction on the stage placement of children in Piaget\u2019s seriation experiments","volume":"11","author":"Coxford","year":"1964","journal-title":"The Arithmetic Teacher"},{"issue":"11","key":"2026010914115755100_mono12411-bib-0063","first-page":"2037","article-title":"Development of cognitive control and executive functions from 4 to 13 years: Evidence from manipulations of memory, inhibition, and task switching","volume":"44","author":"Davidson","year":"2006","journal-title":"Special Issue: Advances in Developmental Cognitive Neuroscience"},{"key":"2026010914115755100_mono12411-bib-0064","doi-asserted-by":"crossref","first-page":"13","DOI":"10.3389\/fnbeh.2014.00013","article-title":"Making fingers and words count in a cognitive robot","volume":"8","author":"De La Cruz","year":"2014","journal-title":"Frontiers in Behavioral Neuroscience"},{"key":"2026010914115755100_mono12411-bib-0065","volume-title":"The number sense","author":"Dehaene","year":"1997"},{"key":"2026010914115755100_mono12411-bib-0066","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/S0376-6357(97)00072-7","article-title":"Transitive responding in animals and humans: exaptation rather than adaptation","volume":"42","author":"Delius","year":"1998","journal-title":"Behavioural Processes"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0067","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0273-2297(92)90003-K","article-title":"The rise and fall of the inhibitory mechanism: Toward a unified theory of cognitive development and aging","volume":"12","author":"Dempster","year":"1992","journal-title":"Developmental Review"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0068","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1111\/j.1750-8606.2008.00034.x","article-title":"From Piaget to specific Genevan developmental models","volume":"2","author":"Desrochers","year":"2008","journal-title":"Child Development Perspectives"},{"key":"2026010914115755100_mono12411-bib-0069","doi-asserted-by":"crossref","first-page":"551","DOI":"10.3389\/fnhum.2014.00551","article-title":"Learning to perceive in the sensorimotor approach: Piaget\u2019s theory of equilibration interpreted dynamically","volume":"8","author":"Di Paolo","year":"2014","journal-title":"Frontiers in Human Neuroscience"},{"key":"2026010914115755100_mono12411-bib-0070","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1146\/annurev-psych-113011-143750","article-title":"Executive functions","volume":"64","author":"Diamond","year":"2013","journal-title":"Annual Review of Psychology"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0071","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1177\/016502548000300405","article-title":"Conservation accidents revisited","volume":"3","author":"Dockrell","year":"1980","journal-title":"International Journal of Behavioral Development"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0072","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1037\/h0083203","article-title":"Children\u2019s understanding of number and related concepts","volume":"14","author":"Dodwell","year":"1960","journal-title":"Canadian Journal of Psychology\/Revue Canadienne de Psychologie"},{"key":"2026010914115755100_mono12411-bib-0073","first-page":"118","volume-title":"Logical thinking in children","author":"Dodwell","year":"1968"},{"key":"2026010914115755100_mono12411-bib-0074","volume-title":"Children\u2019s minds","author":"Donaldson","year":"1978"},{"key":"2026010914115755100_mono12411-bib-0075","volume-title":"What computers still can\u2019t do: A critique of artificial reason","author":"Dreyfus","year":"1992"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0076","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1111\/j.2044-835X.1990.tb00819.x","article-title":"Naughty animals or naughty experimenters? Conservation accidents revisited with video-stimulated commentary","volume":"8","author":"Eames","year":"1990","journal-title":"British Journal of Developmental Psychology"},{"key":"2026010914115755100_mono12411-bib-0077","first-page":"56","volume-title":"Logical thinking in children","author":"Elkind","year":"1968"},{"key":"2026010914115755100_mono12411-bib-0078","doi-asserted-by":"crossref","DOI":"10.1017\/S0140525X15000965","article-title":"Cognition does not affect perception: Evaluating the evidence for \u201ctop-down\u201d effects","volume":"39","author":"Firestone","year":"2016","journal-title":"Behavioral and Brain Sciences"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0079","doi-asserted-by":"crossref","first-page":"419","DOI":"10.2466\/pms.1990.70.2.419","article-title":"Beginning kindergarteners\u2019 perception of number","volume":"70","author":"Fischer","year":"1990","journal-title":"Perceptual and Motor Skills"},{"key":"2026010914115755100_mono12411-bib-0080","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1037\/0033-295X.87.6.477","article-title":"A theory of cognitive development: The control and construction of hierarchies of skills","volume":"87","author":"Fischer","year":"1980","journal-title":"Psychological Review"},{"key":"2026010914115755100_mono12411-bib-0081","volume-title":"The language of thought","author":"Fodor","year":"1975"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0082","first-page":"55","article-title":"Attainment of classification and seriation concepts by blind and sighted children","volume":"5","author":"Friedman","year":"1973","journal-title":"Education of the Visually Handicapped"},{"issue":"5","key":"2026010914115755100_mono12411-bib-0083","doi-asserted-by":"crossref","first-page":"1158","DOI":"10.2307\/1130790","article-title":"Young children\u2019s understanding of counting and cardinality","volume":"60","author":"Frye","year":"1989","journal-title":"Child Development"},{"key":"2026010914115755100_mono12411-bib-0084","volume-title":"Piaget and knowledge: Theoretical foundations","author":"F\u00fcrth","year":"1969"},{"key":"2026010914115755100_mono12411-bib-0085","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-3754-9","volume-title":"Children\u2019s counting and concepts of number","author":"Fuson","year":"1988"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0086","doi-asserted-by":"crossref","first-page":"91","DOI":"10.2307\/1129865","article-title":"Matching, counting, and conservation of numerical equivalence","volume":"54","author":"Fuson","year":"1983","journal-title":"Child Development"},{"key":"2026010914115755100_mono12411-bib-0087","article-title":"Predicting age of becoming a cardinal principle knower","author":"Geary","year":"2018","journal-title":"Journal of Educational Psychology, No-Specified"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0088","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1177\/0956797617729817","article-title":"Early conceptual understanding of cardinality predicts superior school-entry number-system knowledge","volume":"29","author":"Geary","year":"2018","journal-title":"Psychological Science"},{"key":"2026010914115755100_mono12411-bib-0089","first-page":"115","volume-title":"Advances in child development and behavior","author":"Gelman","year":"1972"},{"key":"2026010914115755100_mono12411-bib-0090","volume-title":"The child\u2019s understanding of number","author":"Gelman","year":"1978"},{"key":"2026010914115755100_mono12411-bib-0091","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.tics.2008.11.006","article-title":"The paradox of cognitive flexibility in autism","volume":"13","author":"Geurts","year":"2009","journal-title":"Trends in Cognitive Sciences"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0092","doi-asserted-by":"crossref","first-page":"897","DOI":"10.1037\/h0043190","article-title":"A developmental study of the discrimination of letter-like forms","volume":"55","author":"Gibson","year":"1962","journal-title":"Journal of Comparative and Physiological Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0093","doi-asserted-by":"crossref","first-page":"621","DOI":"10.2307\/1126972","article-title":"Development of transitivity: Some findings and problems of analysis","volume":"39","author":"Glick","year":"1968","journal-title":"Child Development"},{"key":"2026010914115755100_mono12411-bib-0094","volume-title":"Executive functions in health and disease","author":"Goldberg","year":"2017"},{"issue":"2-3","key":"2026010914115755100_mono12411-bib-0095","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/S0010-0277(97)00047-4","article-title":"Reuniting perception and conception","volume":"65","author":"Goldstone","year":"1998","journal-title":"Cognition"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0096","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1037\/h0035542","article-title":"Relational learning of a size concept","volume":"10","author":"Gollin","year":"1974","journal-title":"Developmental Psychology"},{"issue":"12","key":"2026010914115755100_mono12411-bib-0097","doi-asserted-by":"crossref","first-page":"987","DOI":"10.1111\/j.1467-9280.2005.01648.x","article-title":"Top-down attentional modulation in autistic spectrum disorders is stimulus-specific","volume":"16","author":"Greenaway","year":"2005","journal-title":"Psychological Science"},{"key":"2026010914115755100_mono12411-bib-0098","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/0010-0285(84)90005-7","article-title":"Conceptual competence and children\u2019s counting","volume":"16","author":"Greeno","year":"1984","journal-title":"Cognitive Psychology"},{"key":"2026010914115755100_mono12411-bib-0099","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.jecp.2014.09.008","article-title":"Approximate number word knowledge before the cardinal principle","volume":"130","author":"Gunderson","year":"2015","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0100","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1038\/nature07246","article-title":"Individual differences in non-verbal number acuity correlate with maths achievement","volume":"455","author":"Halberda","year":"2008","journal-title":"Nature"},{"key":"2026010914115755100_mono12411-bib-0101","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1159\/000276484","article-title":"Reflections on 25 years of Piagetian cognitive developmental psychology, 1963\u20131988","volume":"32","author":"Halford","year":"1989","journal-title":"Human Development"},{"key":"2026010914115755100_mono12411-bib-0102","volume-title":"Children\u2019s understanding: The development of mental models","author":"Halford","year":"1993"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0103","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1016\/j.cogdev.2012.08.003","article-title":"Computational models of relational processes in cognitive development","volume":"27","author":"Halford","year":"2012","journal-title":"Cognitive Development"},{"issue":"06","key":"2026010914115755100_mono12411-bib-0104","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1017\/S0140525X98001769","article-title":"Processing capacity defined by relational complexity: Implications for comparative, developmental, and cognitive psychology","volume":"21","author":"Halford","year":"1998","journal-title":"Behavioral and Brain Sciences"},{"key":"2026010914115755100_mono12411-bib-0105","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1111\/j.2044-8279.1987.tb00867.x","article-title":"The effect of test materials and the order of presentation of the materials on young children\u2019s understanding of conservation of number","volume":"57","author":"Hanrahan","year":"1987","journal-title":"British Journal of Educational Psychology"},{"key":"2026010914115755100_mono12411-bib-0106","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/0167-2789(90)90087-6","article-title":"The symbol grounding problem","volume":"42","author":"Harnad","year":"1990","journal-title":"Physica D: Nonlinear Phenomena"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0107","first-page":"319","article-title":"A model of transitive choice","volume":"47","author":"Harris","year":"1994","journal-title":"The Quarterly Journal of Experimental Psychology"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0108","doi-asserted-by":"crossref","first-page":"1572","DOI":"10.2307\/1131719","article-title":"Understanding of permission rules by preschool children","volume":"67","author":"Harris","year":"1996","journal-title":"Child Development"},{"key":"2026010914115755100_mono12411-bib-0109","volume-title":"Piagetian reasoning and the blind","author":"Hatwell","year":"1985"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0110","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1080\/14640747608400587","article-title":"Verbal reasoning and working memory","volume":"28","author":"Hitch","year":"1976","journal-title":"Quarterly Journal of Experimental Psychology"},{"key":"2026010914115755100_mono12411-bib-0111","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198510574.001.0001","volume-title":"Artificial ethology","author":"Holland","year":"2001"},{"key":"2026010914115755100_mono12411-bib-0112","first-page":"616","article-title":"Measuring inhibitory control in children and adults: Brain imaging and mental chronometry","volume":"5","author":"Houd\u00e9","year":"2014","journal-title":"Frontiers in Psychology"},{"key":"2026010914115755100_mono12411-bib-0113","doi-asserted-by":"crossref","DOI":"10.3389\/fnhum.2015.00148","article-title":"Evidence for an inhibitory-control theory of the reasoning brain","volume":"9","author":"Houd\u00e9","year":"2015","journal-title":"Frontiers in Human Neuroscience"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0114","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1111\/1467-7687.00156","article-title":"Negative priming effect after inhibition of number\/length interference in a Piaget-like task","volume":"4","author":"Houd\u00e9","year":"2001","journal-title":"Developmental Science"},{"key":"2026010914115755100_mono12411-bib-0115","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1111\/j.2044-8295.1957.tb00627.x","article-title":"The solving of three-term series problems","volume":"48","author":"Hunter","year":"1957","journal-title":"British Journal of Psychology"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0116","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1037\/h0026748","article-title":"Constructing spatial images: A strategy in reasoning","volume":"75","author":"Huttenlocher","year":"1968","journal-title":"Psychological Review"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0117","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1111\/desc.12464","article-title":"The relationship between non-verbal systems of number and counting development: A neural signatures approach","volume":"20","author":"Hyde","year":"2017","journal-title":"Developmental Science"},{"key":"2026010914115755100_mono12411-bib-0118","doi-asserted-by":"crossref","DOI":"10.1037\/10034-000","volume-title":"The growth of logical thinking from childhood to adolescence","author":"Inhelder","year":"1958"},{"key":"2026010914115755100_mono12411-bib-0119","volume-title":"The early growth of logic in the child: Classification and seriation (E.A Lunzer & D. Papert, Trans.)","author":"Inhelder","year":"1964"},{"issue":"9","key":"2026010914115755100_mono12411-bib-0120","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1004523","article-title":"Implicit value updating explains transitive inference performance: The betasort model","volume":"11","author":"Jensen","year":"2015","journal-title":"PLoS Computational Biology"},{"key":"2026010914115755100_mono12411-bib-0121","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/0010-0285(78)90019-1","article-title":"The psychology of syllogisms","volume":"10","author":"Johnson-Laird","year":"1978","journal-title":"Cognitive Psychology"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0122","doi-asserted-by":"crossref","first-page":"1606","DOI":"10.1111\/j.1467-8624.2008.01211.x","article-title":"In defense of qualitative changes in development","volume":"79","author":"Kagan","year":"2008","journal-title":"Child Development"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0123","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1111\/j.2044-8279.1973.tb02265.x","article-title":"The effects of age, stimuli and order of presentation of the stimuli on conservation of number","volume":"43","author":"Kahn","year":"1973","journal-title":"British Journal of Educational Psychology"},{"key":"2026010914115755100_mono12411-bib-0124","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511809477","volume-title":"Judgment under uncertainty: Heuristics and biases","author":"Kahneman","year":"1982"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0125","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1016\/0022-0965(82)90011-X","article-title":"Developmental change on a five-term transitive inference","volume":"33","author":"Kallio","year":"1982","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0126","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/1579.001.0001","volume-title":"Beyond modularity: A developmental perspective on cognitive science","author":"Karmiloff-Smith","year":"1992"},{"key":"2026010914115755100_mono12411-bib-0127","volume-title":"Kaufman assessment battery for children","author":"Kaufman","year":"1983"},{"issue":"1-2","key":"2026010914115755100_mono12411-bib-0128","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1016\/j.jecp.2009.08.004","article-title":"Knowledge of counting principles: How relevant is order relevance?","volume":"105","author":"Kamawar","year":"2010","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0129","volume-title":"Levels of cognitive development","author":"Kendler","year":"1975"},{"issue":"10","key":"2026010914115755100_mono12411-bib-0130","doi-asserted-by":"crossref","first-page":"1316","DOI":"10.1016\/j.rasd.2014.06.011","article-title":"Working memory and autism: A review of literature","volume":"8","author":"Kercood","year":"2014","journal-title":"Research in Autism Spectrum Disorders"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0131","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1080\/02568543.2013.766664","article-title":"Effects of patterning instruction on the academic achievement of 1st-grade children","volume":"27","author":"Kidd","year":"2013","journal-title":"Journal of Research in Childhood Education"},{"key":"2026010914115755100_mono12411-bib-0132","first-page":"43","article-title":"The development of seriation, conservation and multiple classification: A longitudinal study","volume":"108","author":"Kingma","year":"1983","journal-title":"Genetic Psychology Monographs"},{"issue":"5","key":"2026010914115755100_mono12411-bib-0133","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1037\/0022-0663.75.5.763","article-title":"Seriation, correspondence, and transitivity","volume":"75","author":"Kingma","year":"1983","journal-title":"Journal of Educational Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0134","first-page":"181","article-title":"Task sensitivity and the sequence of development in seriation, ordinal correspondence, and cardination","volume":"110","author":"Kingma","year":"1984","journal-title":"Genetic Psychology Monographs"},{"key":"2026010914115755100_mono12411-bib-0135","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1080\/00221325.1984.10532250","article-title":"Traditional intelligence, Piagetian tasks, and initial arithmetic in kindergarten and primary school grade one","volume":"145","author":"Kingma","year":"1984","journal-title":"The Journal of Genetic Psychology"},{"key":"2026010914115755100_mono12411-bib-0136","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1080\/00221325.1984.10532250","article-title":"Traditional intelligence, Piagetian Tasks, and Initial Arithemtic in kindergarten and primary-school grade-one","volume":"145","author":"Kingma","year":"1984","journal-title":"Journal of Genetic Psychology"},{"key":"2026010914115755100_mono12411-bib-0137","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1016\/0361-476X(86)90023-8","article-title":"The range of seriation training effects in young kindergarten children","volume":"11","author":"Kingma","year":"1986","journal-title":"Contemporary Educational Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0138","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1080\/00221325.1987.9914546","article-title":"Training of seriation in young kindergarteners","volume":"148","author":"Kingma","year":"1987","journal-title":"The Journal of Genetic Psychology"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0139","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1177\/0013164484441001","article-title":"The construction of a developmental scale for seriation","volume":"44","author":"Kingma","year":"1984","journal-title":"Educational and Psychological Measurement"},{"key":"2026010914115755100_mono12411-bib-0140","doi-asserted-by":"crossref","first-page":"412","DOI":"10.1017\/CBO9781139174909.015","volume-title":"Models of working memory: Mechanisms of active maintenance and executive control","author":"Kintsch","year":"1999"},{"key":"2026010914115755100_mono12411-bib-0141","first-page":"273","volume-title":"Developmental Psychology: An Advanced Textbook","author":"Klahr","year":"1992"},{"key":"2026010914115755100_mono12411-bib-0142","volume-title":"The mentality of Apes","author":"Kohler","year":"1925"},{"key":"2026010914115755100_mono12411-bib-0143","volume-title":"Experiential learning: Experience as the source of learning and development","author":"Kolb","year":"1983"},{"key":"2026010914115755100_mono12411-bib-0144","volume-title":"Probabilistic graphical models: Principles and techniques","author":"Koller","year":"2009"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0145","first-page":"391","article-title":"Quantitative and qualitative changes in the development of seriation","volume":"26","author":"Koslowski","year":"1980","journal-title":"Merrill-Palmer Quarterly"},{"key":"2026010914115755100_mono12411-bib-0146","volume-title":"Developmental psychology: An advanced textbook","author":"Kuhn","year":"1992"},{"key":"2026010914115755100_mono12411-bib-0147","volume-title":"Where mathematics comes from: How the embodied mind brings mathematics into being","author":"Lakoff","year":"2000"},{"key":"2026010914115755100_mono12411-bib-0148","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1111\/j.1469-7610.1972.tb01115.x","article-title":"Absolute and relative codes in young children","volume":"13","author":"Lawrenson","year":"1972","journal-title":"Journal of Child Psychology and Psychiatry"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0149","doi-asserted-by":"crossref","first-page":"731","DOI":"10.2307\/1127839","article-title":"The role of number and length cues in children\u2019s quantitative judgments","volume":"45","author":"Lawson","year":"1974","journal-title":"Child Development"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0150","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/j.cognition.2006.10.005","article-title":"One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles","volume":"105","author":"Le Corre","year":"2007","journal-title":"Cognition"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0151","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1016\/0022-0965(77)90094-7","article-title":"Induction of intellectual gains in blind children","volume":"24","author":"Lebron-Rodriguez","year":"1977","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0152","volume-title":"Bayesian cognitive modeling: A practical course","author":"Lee","year":"2013"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0153","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1037\/cep0000062","article-title":"Numerical cognition: Adding it up","volume":"70","author":"LeFevre","year":"2016","journal-title":"Canadian Journal of Experimental Psychology\/Revue Canadienne de Psychologie Exp\u00e9rimentale"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0154","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1037\/cep0000070","article-title":"The symbol-grounding problem in numerical cognition: A review of theory, evidence, and outstanding questions","volume":"70","author":"Leibovich","year":"2016","journal-title":"Canadian Journal of Experimental Psychology\/Revue Canadienne de Psychologie Exp\u00e9rimentale"},{"key":"2026010914115755100_mono12411-bib-0155","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-5649-3","volume-title":"Cognitive science and genetic epistemology","author":"Leiser","year":"1990"},{"key":"2026010914115755100_mono12411-bib-0156","first-page":"237","volume-title":"Development and learning: Conflict or congruence?","author":"Liben","year":"1987"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0157","doi-asserted-by":"crossref","first-page":"1600","DOI":"10.1111\/j.1467-8624.2008.01210.x","article-title":"Continuities and discontinuities in children and scholarship","volume":"79","author":"Liben","year":"2008","journal-title":"Child Development"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0158","doi-asserted-by":"crossref","first-page":"1597","DOI":"10.1111\/j.1467-8624.2008.01209.x","article-title":"Reflections on child development: The journal and the field","volume":"79","author":"Liben","year":"2008","journal-title":"Child Development"},{"issue":"5795","key":"2026010914115755100_mono12411-bib-0159","doi-asserted-by":"crossref","first-page":"1893","DOI":"10.1126\/science.1132362","article-title":"The Early Years: Evaluating Montessori education","volume":"313","author":"Lillard","year":"2006","journal-title":"Science"},{"key":"2026010914115755100_mono12411-bib-0160","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1080\/0300443961170102","article-title":"Extent of similarity in concept development for visually impaired and sighted children","volume":"117","author":"Lister","year":"1996","journal-title":"Early Child Development and Care"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0161","doi-asserted-by":"crossref","first-page":"1024","DOI":"10.2307\/1127652","article-title":"A longitudinal study of cognitive development in young children","volume":"43","author":"Little","year":"1972","journal-title":"Child Development"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0162","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1037\/0033-295X.103.1.143","article-title":"In defense of Piaget\u2019s theory: A reply to 10 common criticisms","volume":"103","author":"Louren\u00e7o","year":"1996","journal-title":"Psychological Review"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0163","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1177\/0956797610370158","article-title":"General magnitude representation in human infants","volume":"21","author":"Lourenco","year":"2010","journal-title":"Psychological Science"},{"key":"2026010914115755100_mono12411-bib-0164","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/B978-0-12-385948-8.00015-3","volume-title":"Space, time and number in the brain: Searching for the foundations of mathematical thought","author":"Lourenco","year":"2011"},{"key":"2026010914115755100_mono12411-bib-0165","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1017\/CBO9781139174909.008","volume-title":"Models of working memory: Mechanisms of active maintenance and executive control","author":"Lovett","year":"1999"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0166","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1080\/095400999116322","article-title":"Development of children\u2019s seriation: A connectionist approach","volume":"11","author":"Mareschal","year":"1999","journal-title":"Connection Science"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0167","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1109\/TEVC.2006.890232","article-title":"Computational modeling in developmental psychology","volume":"11","author":"Mareschal","year":"2007","journal-title":"IEEE Transactions on Evolutionary Computation"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0168","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1111\/cdep.12190","article-title":"Embodiment and human development","volume":"10","author":"Marshall","year":"2016","journal-title":"Child Development Perspectives"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0169","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1037\/h0030959","article-title":"Size discrimination in children facilitated by changes in task difficulty","volume":"75","author":"May","year":"1971","journal-title":"Journal of Comparative and Physiological Psychology"},{"key":"2026010914115755100_mono12411-bib-0170","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1111\/j.1756-8765.2008.01003.x","article-title":"The place of modeling in cognitive science","volume":"1","author":"McClelland","year":"2009","journal-title":"Topics in Cognitive Science"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0171","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1080\/03033910.1991.10557848","article-title":"Number conservation: A fair assessment of numerical understanding?","volume":"12","author":"McEvoy","year":"1991","journal-title":"The Irish Journal of Psychology"},{"key":"2026010914115755100_mono12411-bib-0172","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/3830.001.0001","volume-title":"Intelligent behavior in animals and robots","author":"McFarland","year":"1993"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0173","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/0010-0277(74)90003-1","article-title":"Conservation accidents","volume":"3","author":"McGarrigle","year":"1974","journal-title":"Cognition"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0174","doi-asserted-by":"crossref","first-page":"528","DOI":"10.1016\/0022-0965(78)90131-5","article-title":"Interpreting inclusion: A contribution to the study of the child\u2019s cognitive and linguistic development","volume":"26","author":"McGarrigle","year":"1978","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0175","doi-asserted-by":"crossref","first-page":"694","DOI":"10.1038\/267694a0","article-title":"Are monkeys logical?","volume":"267","author":"McGonigle","year":"1977","journal-title":"Nature"},{"key":"2026010914115755100_mono12411-bib-0176","first-page":"501","volume-title":"Rational models of cognition","author":"McGonigle","year":"1998"},{"key":"2026010914115755100_mono12411-bib-0177","doi-asserted-by":"crossref","first-page":"247","DOI":"10.7551\/mitpress\/6392.003.0014","volume-title":"Spatial schemas and abstract thought","author":"McGonigle","year":"2001"},{"key":"2026010914115755100_mono12411-bib-0178","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1007\/978-1-4615-0821-2_12","volume-title":"Animal cognition and sequential behaviour: Behavioral, biological and computational perspectives","author":"McGonigle","year":"2002"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0179","doi-asserted-by":"crossref","first-page":"241","DOI":"10.46867\/IJCP.2006.19.02.01","article-title":"Ordering and executive functioning as a window on the evolution and development of cognitive systems","volume":"19","author":"McGonigle","year":"2006","journal-title":"International Journal of Comparative Psychology"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0180","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1068\/p070635","article-title":"Levels of stimulus processing by the squirrel monkey: Relative and absolute judgements compared","volume":"7","author":"McGonigle","year":"1978","journal-title":"Perception"},{"issue":"7","key":"2026010914115755100_mono12411-bib-0181","doi-asserted-by":"crossref","first-page":"1382","DOI":"10.1007\/s10803-007-0396-y","article-title":"Size sequencing as a window on executive control in children with autism and Asperger\u2019s syndrome","volume":"38","author":"McGonigle-Chalmers","year":"2008","journal-title":"Journal of Autism and Developmental Disorders"},{"key":"2026010914115755100_mono12411-bib-0182","doi-asserted-by":"crossref","first-page":"154","DOI":"10.3389\/fnhum.2017.00154","article-title":"Informing the structure of executive function in children: A meta-analysis of functional neuroimaging data","volume":"11","author":"McKenna","year":"2017","journal-title":"Frontiers in Human Neuroscience"},{"issue":"8-9","key":"2026010914115755100_mono12411-bib-0183","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.1016\/j.neunet.2010.08.010","article-title":"The iCub humanoid robot: An open-systems platform for research in cognitive development","volume":"23","author":"Metta","year":"2010","journal-title":"Neural Networks"},{"key":"2026010914115755100_mono12411-bib-0184","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/9339.001.0001","volume-title":"Explaining the computational mind","author":"Mi\u0142kowski","year":"2013"},{"key":"2026010914115755100_mono12411-bib-0185","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1016\/B978-1-4832-1446-7.50018-2","volume-title":"Readings in cognitive science: A perspective from psychology and artificial intelligence","author":"Minsky","year":"1988"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0186","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1006\/cogp.1999.0734","article-title":"The unity and diversity of executive functions and their contributions to complex \u201cfrontal lobe\u201d tasks: A latent variable analysis","volume":"41","author":"Miyake","year":"2000","journal-title":"Cognitive Psychology"},{"key":"2026010914115755100_mono12411-bib-0187","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139174909","volume-title":"Models of working memory: Mechanisms of active maintenance and executive control","author":"Miyake","year":"1999"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0188","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/j.dcn.2010.12.004","article-title":"Longitudinal development of prefrontal function during early childhood","volume":"1","author":"Moriguchi","year":"2011","journal-title":"Developmental Cognitive Neuroscience"},{"key":"2026010914115755100_mono12411-bib-0189","doi-asserted-by":"crossref","first-page":"180","DOI":"10.3758\/BF03214124","article-title":"Comparing objects in memory: Evidence suggesting an internal psychophysics","volume":"13","author":"Moyer","year":"1973","journal-title":"Perception & Psychophysics"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0190","doi-asserted-by":"crossref","first-page":"1164","DOI":"10.2307\/1129344","article-title":"Transitive inferences within seriation problems assessed by explanations, judgments and strategies","volume":"50","author":"Moore","year":"1979","journal-title":"Child Development"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0191","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1177\/0734282906297627","article-title":"The relationship between working memory, inhibition, and performance on the Wisconsin Card Sorting Test in children with and without ADHD","volume":"25","author":"Mullane","year":"2007","journal-title":"Journal of Psychoeducational Assessment"},{"key":"2026010914115755100_mono12411-bib-0192","author":"Neapolitan","year":"1991"},{"issue":"1-3","key":"2026010914115755100_mono12411-bib-0193","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/0010-0277(83)90047-1","article-title":"Justifying conservation: A reply to McGarrigle and Donaldson","volume":"15","author":"Neilson","year":"1983","journal-title":"Cognition"},{"key":"2026010914115755100_mono12411-bib-0194","volume-title":"Human problem solving.","author":"Newell","year":"1972"},{"key":"2026010914115755100_mono12411-bib-0195","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.actpsy.2015.10.010","article-title":"Approximate number and approximate time discrimination each correlate with school math abilities in young children","volume":"163","author":"Odic","year":"2016","journal-title":"Acta Psychologica"},{"key":"2026010914115755100_mono12411-bib-0196","doi-asserted-by":"crossref","first-page":"1103","DOI":"10.1017\/S0954579408000527","article-title":"Neurodevelopment and executive function in autism","volume":"20","author":"O\u2019Hearn","year":"2008","journal-title":"Development and Psychopathology"},{"issue":"1-2","key":"2026010914115755100_mono12411-bib-0197","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1111\/j.1540-5834.1996.tb00536.x","article-title":"The role of central conceptual structures in the development of children\u2019s thought: II. Exploring the microstructure of children\u2019s central conceptual structures in the domain of number","volume":"61","author":"Okamoto","year":"1996","journal-title":"Monographs of the Society for Research in Child Development"},{"key":"2026010914115755100_mono12411-bib-0198","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1037\/0894-4105.9.4.491","article-title":"Reliability and validity of the Wisconsin-card sorting test in studies of autism","volume":"9","author":"Ozonoff","year":"1995","journal-title":"Neuropsychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0199","doi-asserted-by":"crossref","first-page":"196","DOI":"10.3758\/BF03194872","article-title":"A response time model for judging order relationship between two symbolic stimuli","volume":"66","author":"Page","year":"2004","journal-title":"Perception & Psychophysics"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0200","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/0022-0965(71)90030-0","article-title":"A developmental comparison of identity and equivalence conservations","volume":"12","author":"Papalia","year":"1971","journal-title":"Journal of Experimental Child Psychology"},{"issue":"3-4","key":"2026010914115755100_mono12411-bib-0201","doi-asserted-by":"crossref","first-page":"1301","DOI":"10.1016\/S0885-2014(02)00119-3","article-title":"Artificial life and Piaget","volume":"17","author":"Parisi","year":"2002","journal-title":"Cognitive Development"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0202","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/0001-6918(70)90108-3","article-title":"A mathematical model for the transition rule in Piaget\u2019s developmental stages","volume":"32","author":"Pascual-Leone","year":"1970","journal-title":"Acta Psychologica"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0203","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1037\/h0081846","article-title":"On learning and development, Piagetian style: II. A critical historical analysis of Geneva\u2019s research programme","volume":"17","author":"Pascual-Leone","year":"1976","journal-title":"Canadian Psychological Review\/Psychologie Canadienne"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0204","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1002\/(SICI)1520-6807(199601)33:1<70::AID-PITS9>3.0.CO;2-#","article-title":"Differential results of instruction at the preoperational\/concrete operational transition","volume":"33","author":"Pasnak","year":"1996","journal-title":"Psychology in the Schools"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0205","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1080\/00221325.2015.1024198","article-title":"Abstracting sequences: Reasoning that is a key to academic achievement","volume":"176","author":"Pasnak","year":"2015","journal-title":"The Journal of Genetic Psychology"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0206","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1111\/j.2044-8295.1990.tb02375.x","article-title":"Transitive inferences by young children about spatial position","volume":"81","author":"Pears","year":"1990","journal-title":"British Journal of Psychology"},{"key":"2026010914115755100_mono12411-bib-0207","doi-asserted-by":"crossref","first-page":"292","DOI":"10.2307\/1125767","article-title":"Visual discrimination in preschool children","volume":"4","author":"Peckham","year":"1933","journal-title":"Child Development"},{"key":"2026010914115755100_mono12411-bib-0208","first-page":"327","volume-title":"Attention, memory, and executive function","author":"Pennington","year":"1996"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0209","first-page":"51","article-title":"Executive functions and developmental psychopathology","volume":"37","author":"Pennington","year":"1996","journal-title":"Special Issue: Annual Research Review"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0210","doi-asserted-by":"crossref","first-page":"710","DOI":"10.2307\/1130059","article-title":"Developmental differences in encoding length series","volume":"54","author":"Perner","year":"1983","journal-title":"Child Development"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0211","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/0022-0965(81)90011-4","article-title":"Mental representation of length and weight series and transitive inferences in young children","volume":"31","author":"Perner","year":"1981","journal-title":"Journal of Experimental Child Psychology"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0212","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/0028-3932(82)90100-2","article-title":"Deficits on subject-ordered tasks after frontal- and temporal-lobe lesions in man","volume":"20","author":"Petrides","year":"1982","journal-title":"Neuropsychologia"},{"key":"2026010914115755100_mono12411-bib-0213","volume-title":"Judgment and reasoning in the child","author":"Piaget","year":"1928"},{"key":"2026010914115755100_mono12411-bib-0214","volume-title":"The child\u2019s conception of number","author":"Piaget","year":"1952"},{"key":"2026010914115755100_mono12411-bib-0215","doi-asserted-by":"crossref","DOI":"10.1037\/11494-000","volume-title":"The origins of intelligence in children","author":"Piaget","year":"1952"},{"key":"2026010914115755100_mono12411-bib-0216","author":"Piaget","year":"1968"},{"key":"2026010914115755100_mono12411-bib-0217","volume-title":"The child and reality: Problems of genetic psychology","author":"Piaget","year":"1972"},{"key":"2026010914115755100_mono12411-bib-0218","volume-title":"The child\u2019s conception of geometry","author":"Piaget","year":"1960"},{"key":"2026010914115755100_mono12411-bib-0219","volume-title":"The child\u2019s conception of space","author":"Piaget","year":"1971"},{"key":"2026010914115755100_mono12411-bib-0220","volume-title":"The child\u2019s construction of quantities","author":"Piaget","year":"1974"},{"key":"2026010914115755100_mono12411-bib-0221","volume-title":"La genese du nombre chez l\u2019enfant","author":"Piaget","year":"1941"},{"issue":"5","key":"2026010914115755100_mono12411-bib-0222","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1037\/0012-1649.28.5.787","article-title":"Eleanor J. Gibson: Learning to perceive and perceiving to learn","volume":"28","author":"Pick","year":"1992","journal-title":"Developmental Psychology"},{"key":"2026010914115755100_mono12411-bib-0223","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/2906.001.0001","volume-title":"Exercises in rethinking innateness: A handbook for connectionist simulations","author":"Plunkett","year":"1997"},{"key":"2026010914115755100_mono12411-bib-0224","volume-title":"The horizons of evolutionary robotics","author":"Pollack","year":"2014"},{"key":"2026010914115755100_mono12411-bib-0225","volume-title":"Connectionist models of development: Developmental processes in real and artificial neural networks","author":"Quinlan","year":"2003"},{"key":"2026010914115755100_mono12411-bib-0226","volume-title":"R: A language and environment for statistical computing","author":"R Core Team","year":"2017"},{"key":"2026010914115755100_mono12411-bib-0227","volume-title":"The perception of stimulus relations: Discrimination learning and transposition","author":"Reese","year":"1968"},{"key":"2026010914115755100_mono12411-bib-0228","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0022-0965(74)90065-4","article-title":"Comparatives, logical structures, and encoding in a transitive inference task","volume":"17","author":"Riley","year":"1974","journal-title":"Journal of Experimental Child Psychology"},{"issue":"5","key":"2026010914115755100_mono12411-bib-0229","first-page":"266","article-title":"Cambridge Neuropsychological Test Automated Battery (CANTAB): A factor analytic study of a large sample of normal elderly volunteers","volume":"5","author":"Robbins","year":"1994","journal-title":"Dementia"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0230","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/j.acn.2007.01.023","article-title":"The reliability and validity of the self-ordered pointing task","volume":"22","author":"Ross","year":"2007","journal-title":"Archives of Clinical Neuropsychology"},{"key":"2026010914115755100_mono12411-bib-0231","volume-title":"Neural circuit development and function in the brain, Part II","author":"Rubenstein","year":"2013"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0232","doi-asserted-by":"crossref","first-page":"728","DOI":"10.2307\/1128241","article-title":"The relation between two strategies of cardinal number: Correspondence and counting","volume":"49","author":"Russac","year":"1978","journal-title":"Child Development"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0233","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1016\/0022-0965(81)90019-9","article-title":"Children\u2019s memory for the premises in a transitive measurement task assessed by elicited and spontaneous justifications","volume":"31","author":"Russell","year":"1981","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0234","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1111\/j.2044-835X.1991.tb00881.x","article-title":"The \u201cwindows task\u201d as a measure of strategic deception in preschoolers and autistic subjects","volume":"9","author":"Russell","year":"1991","journal-title":"British Journal of Developmental Psychology"},{"issue":"10","key":"2026010914115755100_mono12411-bib-0235","doi-asserted-by":"crossref","first-page":"1164","DOI":"10.1016\/j.neunet.2010.07.012","article-title":"An embodied account of serial order: How instabilities drive sequence generation","volume":"23","author":"Sandamirskaya","year":"2010","journal-title":"Neural Networks"},{"issue":"8","key":"2026010914115755100_mono12411-bib-0236","doi-asserted-by":"crossref","first-page":"1493","DOI":"10.1111\/cogs.12043","article-title":"The idea of an exact number: Children\u2019s understanding of cardinality and equinumerosity","volume":"37","author":"Sarnecka","year":"2013","journal-title":"Cognitive Science"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0237","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1016\/j.cogdev.2012.07.002","article-title":"The past, present, and future of computational models of cognitive development","volume":"27","author":"Schlesinger","year":"2012","journal-title":"Cognitive Development"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0238","first-page":"17","article-title":"Relational terms and logical operations","volume":"9","author":"Schliemann","year":"1983","journal-title":"Termos relacionais e operacoes logicas"},{"key":"2026010914115755100_mono12411-bib-0239","first-page":"929","volume-title":"Proceedings of the twentieth annual conference of the cognitive science society","author":"Schnall","year":"1998"},{"key":"2026010914115755100_mono12411-bib-0240","volume-title":"Cognitive science projects in Prolog","author":"Scott","year":"1991"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0241","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1017\/S0140525X00005756","article-title":"Minds, brains, and programs","volume":"3","author":"Searle","year":"1980","journal-title":"Behavioral and Brain Sciences"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0242","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1007\/BF02760711","article-title":"Measurement of visual acuity and crowding effect in 3-9-year-old children","volume":"26","author":"Semenov","year":"2000","journal-title":"Human Physiology"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0243","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1080\/87565641.2010.508546","article-title":"Memory maintenance and inhibitory control differentiate from early childhood to adolescence","volume":"35","author":"Shing","year":"2010","journal-title":"Developmental Neuropsychology"},{"key":"2026010914115755100_mono12411-bib-0244","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/2013.001.0001","volume-title":"Computational developmental psychology","author":"Shultz","year":"2003"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0245","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1037\/h0032205","article-title":"Development of the concept of seriation","volume":"6","author":"Siegel","year":"1972","journal-title":"Developmental Psychology"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0246","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1006\/cogp.1995.1006","article-title":"How does change occur: A microgenetic study of number conservation","volume":"28","author":"Siegler","year":"1995","journal-title":"Cognitive Psychology"},{"issue":"61","key":"2026010914115755100_mono12411-bib-0247","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1111\/j.1540-5834.1996.tb00550.x","article-title":"A grand theory of development: Commentary on Okamoto and Case","volume":"246","author":"Siegler","year":"1996","journal-title":"Monographs of the Society for Research in Child Development"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0248","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1111\/1467-9280.02438","article-title":"The development of numerical estimation","volume":"14","author":"Siegler","year":"2003","journal-title":"Psychological Science"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0249","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/1165995","article-title":"Developmental sequences within and between concepts","volume":"46","author":"Siegler","year":"1981","journal-title":"Monographs of the Society for Research in Child Development"},{"key":"2026010914115755100_mono12411-bib-0250","first-page":"503","volume-title":"Logical thinking in children","author":"Sigel","year":"1968"},{"key":"2026010914115755100_mono12411-bib-0251","volume-title":"Logical thinking in children","author":"Sigel","year":"1968"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0252","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1111\/j.2044-8279.1966.tb01883.x","article-title":"A training procedure for acquisition of Piaget\u2019s conservation of quantity: A pilot study and its replication","volume":"36","author":"Sigel","year":"1966","journal-title":"British Journal of Educational Psychology"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0253","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/j.jecp.2005.10.003","article-title":"Conditions under which children experience inhibitory difficulty with a \u201cbutton-press\u201d go\/no-go task","volume":"94","author":"Simpson","year":"2006","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0254","first-page":"389","article-title":"Development of concrete transitivity of length in children","volume":"34","author":"Smedslund","year":"1963","journal-title":"Child Development"},{"key":"2026010914115755100_mono12411-bib-0255","volume-title":"Necessary knowledge: Piagetian perspectives on constructivism","author":"Smith","year":"1993"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0256","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1111\/j.1467-7687.2007.00565.x","article-title":"The dynamic lift of developmental process","volume":"10","author":"Smith","year":"2007","journal-title":"Developmental Science"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0257","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1016\/0010-0285(76)90018-9","article-title":"Infants\u2019 intermodal perception of events","volume":"8","author":"Spelke","year":"1976","journal-title":"Cognitive Psychology"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0258","doi-asserted-by":"crossref","first-page":"626","DOI":"10.1037\/0012-1649.15.6.626","article-title":"Perceiving bimodally specified events in infancy","volume":"15","author":"Spelke","year":"1979","journal-title":"Developmental Psychology"},{"key":"2026010914115755100_mono12411-bib-0259","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1037\/h0056975","article-title":"The nature of discrimination learning in animals","volume":"43","author":"Spence","year":"1936","journal-title":"Psychological Review"},{"key":"2026010914115755100_mono12411-bib-0260","volume-title":"Human reasoning and cognitive science","author":"Stenning","year":"2012"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0261","doi-asserted-by":"crossref","first-page":"752","DOI":"10.1037\/h0039756","article-title":"The learning of object and pattern discriminations by children","volume":"51","author":"Stevenson","year":"1958","journal-title":"Journal of Comparative and Physiological Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0262","first-page":"28","article-title":"Early markers for arithmetic difficulties","volume":"24","author":"Stock","year":"2007","journal-title":"Special Issue: Arithmetical Difficulties: Developmental and Instructional Perspectives"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0263","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1177\/0734282908330587","article-title":"Predicting arithmetic abilities: The role of preparatory arithmetic markers and intelligence","volume":"27","author":"Stock","year":"2009","journal-title":"Journal of Psychoeducational Assessment"},{"key":"2026010914115755100_mono12411-bib-0264","volume-title":"Reinforcement learning: An introduction","author":"Sutton","year":"1998"},{"key":"2026010914115755100_mono12411-bib-0265","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1080\/00221325.1979.10533419","article-title":"The relative influence of observation, imitative motor activity, and feedback on the induction of seriation","volume":"135","author":"Swanson","year":"1979","journal-title":"The Journal of Genetic Psychology"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0266","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1111\/1467-8721.ep10770703","article-title":"Memory and representation of serial order by children, monkeys, and pigeons","volume":"3","author":"Terrace","year":"1994","journal-title":"Current Directions in Psychological Science"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0267","doi-asserted-by":"crossref","first-page":"1327","DOI":"10.1037\/0033-2909.85.6.1327","article-title":"The development of transitive inference: A review of recent approaches","volume":"85","author":"Thayer","year":"1978","journal-title":"Psychological Bulletin"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0268","doi-asserted-by":"crossref","first-page":"265","DOI":"10.3758\/BF03209238","article-title":"Absolute versus relative class conceptual behavior in squirrel monkeys (Saimiri sciureus)","volume":"5","author":"Thomas","year":"1977","journal-title":"Animal Learning & Behavior"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0269","doi-asserted-by":"crossref","first-page":"1030","DOI":"10.2307\/1128419","article-title":"Perceptual training of height and brightness seriation in kindergarten children","volume":"46","author":"Timmons","year":"1975","journal-title":"Child Development"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0270","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1177\/0022219410387302","article-title":"Executive functions as predictors of math learning disabilities","volume":"44","author":"Toll","year":"2011","journal-title":"Journal of Learning Disabilities"},{"issue":"4","key":"2026010914115755100_mono12411-bib-0271","doi-asserted-by":"crossref","first-page":"1153","DOI":"10.2307\/1129343","article-title":"The structure of concrete operational thought","volume":"50","author":"Tomlinson-Keasey","year":"1979","journal-title":"Child Development"},{"key":"2026010914115755100_mono12411-bib-0272","first-page":"201","volume-title":"Psychological studies of logic and its development","author":"Trabasso","year":"1975"},{"key":"2026010914115755100_mono12411-bib-0273","first-page":"381","volume-title":"Information processing and cognition: The Loyola symposium","author":"Trabasso","year":"1975"},{"issue":"4157","key":"2026010914115755100_mono12411-bib-0274","doi-asserted-by":"crossref","first-page":"1124","DOI":"10.1126\/science.185.4157.1124","article-title":"Judgment under uncertainty: Heuristics and biases","volume":"185","author":"Tversky","year":"1974","journal-title":"Science"},{"key":"2026010914115755100_mono12411-bib-0275","volume-title":"Dynamic systems of development: Change between complexity and chaos","author":"Van Geert","year":"1994"},{"issue":"7","key":"2026010914115755100_mono12411-bib-0276","doi-asserted-by":"crossref","first-page":"345","DOI":"10.2307\/2941061","article-title":"What might cognition be if not computation?","volume":"92","author":"Van Gelder","year":"1995","journal-title":"Journal of Philosophy"},{"key":"2026010914115755100_mono12411-bib-0277","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/BF00484890","article-title":"Jean Piaget and the child psychologist","volume":"65","author":"Voneche","year":"1985","journal-title":"Synthese"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0278","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1080\/21622965.2013.748394","article-title":"Toward an integrated model of executive functioning in children","volume":"2","author":"Wasserman","year":"2013","journal-title":"Applied Neuropsychology: Child"},{"key":"2026010914115755100_mono12411-bib-0279","volume-title":"The emergence of core domains of thought: Children\u2019s reasoning about physical, psychological, and biological phenomena","author":"Wellman","year":"1997"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0280","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0885-2014(91)90006-Y","article-title":"Rule-guided behavior and self-monitoring on the Tower of Hanoi disk-transfer task","volume":"6","author":"Welsh","year":"1991","journal-title":"Cognitive development"},{"key":"2026010914115755100_mono12411-bib-0281","volume-title":"Comparative psychology of mental development","author":"Werner","year":"1948"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0282","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0010-0277(83)90004-5","article-title":"Beliefs about beliefs: Representation and constraining function of wrong beliefs in young children\u2019s understanding of deception","volume":"13","author":"Wimmer","year":"1983","journal-title":"Cognition"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0283","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1080\/13546783.2010.544548","article-title":"Transitivity for height versus speed: To what extent do the under-7s really have a transitive capacity?","volume":"17","author":"Wright","year":"2011","journal-title":"Thinking & Reasoning"},{"key":"2026010914115755100_mono12411-bib-0284","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1093\/oso\/9780195332827.003.0017","volume-title":"The innate mind: Foundations and the future","author":"Wynn","year":"2008"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0285","doi-asserted-by":"crossref","first-page":"B55","DOI":"10.1016\/S0010-0277(02)00008-2","article-title":"Enumeration of collective entities by 5-month-old infants","volume":"83","author":"Wynn","year":"2002","journal-title":"Cognition"},{"issue":"6","key":"2026010914115755100_mono12411-bib-0286","doi-asserted-by":"crossref","first-page":"854","DOI":"10.1037\/dev0000124","article-title":"Training young children on sequential relations among numbers and spatial decomposition: Differential transfer to number line and mental transformation tasks","volume":"52","author":"Xu","year":"2016","journal-title":"Developmental Psychology"},{"issue":"1","key":"2026010914115755100_mono12411-bib-0287","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/0022-0965(70)90044-5","article-title":"Transposition and transfer of absolute responding as functions of learning-set training and stimulus similarity","volume":"10","author":"Yeh","year":"1970","journal-title":"Journal of Experimental Child Psychology"},{"key":"2026010914115755100_mono12411-bib-0288","volume-title":"Executive functions in children\u2019s everyday lives: A handbook for professionals in Applied Psychology","author":"Young","year":"2017"},{"key":"2026010914115755100_mono12411-bib-0289","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-5557-0","volume-title":"Seriation by children: An artificial intelligence analysis of a Piagetian task","author":"Young","year":"1976"},{"key":"2026010914115755100_mono12411-bib-0290","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1017\/CBO9781139174909.010","volume-title":"Models of working memory: Mechanisms of active maintenance and executive control","author":"Young","year":"1999"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0291","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1037\/h0028763","article-title":"Transitive inference with non-transitive solutions controlled","volume":"2","author":"Youniss","year":"1970","journal-title":"Developmental Psychology"},{"key":"2026010914115755100_mono12411-bib-0292","volume-title":"Modelling high-level cognitive processes","author":"Yule","year":"2013"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0293","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1037\/h0028423","article-title":"Absolute and relational diThough clearly different fromscriminations involving three stimuli","volume":"82","author":"Zeiler","year":"1969","journal-title":"Journal of Experimental Psychology"},{"issue":"2","key":"2026010914115755100_mono12411-bib-0294","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1037\/h0022887","article-title":"Intermediate size discrimination in seven- and eight-year-old children","volume":"71","author":"Zeiler","year":"1966","journal-title":"Journal of Experimental Psychology"},{"issue":"3","key":"2026010914115755100_mono12411-bib-0295","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1111\/j.0037-976X.2003.00266.x","article-title":"VI. The development of executive function: cognitive complexity and control-revised","volume":"68","author":"Zelazo","year":"2003","journal-title":"Monographs of the Society for Research in Child Development"}],"container-title":["Monographs of the Society for Research in Child Development"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1111\/mono.12411","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1111\/mono.12411","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/srcdmo\/article-pdf\/84\/4\/7\/64240435\/mono12411.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/srcdmo\/article-pdf\/84\/4\/7\/64240435\/mono12411.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T19:13:58Z","timestamp":1767986038000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/srcdmo\/article\/84\/4\/7\/8251343"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,12]]},"references-count":295,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2019,11,12]]},"published-print":{"date-parts":[[2019,11,12]]}},"URL":"https:\/\/doi.org\/10.1111\/mono.12411","relation":{},"ISSN":["0037-976X","1540-5834"],"issn-type":[{"value":"0037-976X","type":"print"},{"value":"1540-5834","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2019,12]]},"published":{"date-parts":[[2019,11,12]]},"assertion":[{"value":"2019-11-12","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}