{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T18:33:05Z","timestamp":1760985185980},"reference-count":101,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,9,10]],"date-time":"2014-09-10T00:00:00Z","timestamp":1410307200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cogn Affect Behav Neurosci"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.3758\/s13415-014-0317-4","type":"journal-article","created":{"date-parts":[[2014,9,19]],"date-time":"2014-09-19T16:56:19Z","timestamp":1411145779000},"page":"229-250","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Visuospatial referents facilitate the learning and transfer of mathematical operations: Extending the role of the angular gyrus"],"prefix":"10.3758","volume":"15","author":[{"given":"Aryn","family":"Pyke","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shawn","family":"Betts","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jon M.","family":"Fincham","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John R.","family":"Anderson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,9,10]]},"reference":[{"key":"317_CR1","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1002\/cne.902960106","volume":"296","author":"RA Andersen","year":"1990","unstructured":"Andersen, R. A., Asanuma, C., Essick, G., & Siegel, R. M. (1990). Corticocortical connections of anatomically and physiologically defined subdivisions within the inferior parietal lobule. Journal of Comparative Neurology, 296, 65\u2013113.","journal-title":"Journal of Comparative Neurology"},{"key":"317_CR2","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1207\/s15516709cog0000_22","volume":"29","author":"JR Anderson","year":"2005","unstructured":"Anderson, J. R. (2005). Human symbol manipulation within an integrated cognitive architecture. Cognitive Science, 29, 313\u2013342.","journal-title":"Cognitive Science"},{"key":"317_CR3","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":"JR Anderson","year":"2007","unstructured":"Anderson, J. R. (2007). How can the human mind occur in the physical universe? New York, NY: Oxford University Press."},{"key":"317_CR4","doi-asserted-by":"crossref","first-page":"52","DOI":"10.3758\/s13415-010-0011-0","volume":"11","author":"JR Anderson","year":"2011","unstructured":"Anderson, J. R., Betts, S., Ferris, J. L., & Fincham, J. M. (2011). Cognitive and metacognitive activity in mathematical problem solving: Prefrontal and parietal patterns. Cognitive, Affective, & Behavioral Neuroscience, 11, 52\u201367. doi: 10.3758\/s13415-010-0011-0","journal-title":"Cognitive, Affective, & Behavioral Neuroscience"},{"key":"317_CR5","doi-asserted-by":"crossref","first-page":"1323","DOI":"10.1080\/03640210802451588","volume":"32","author":"JR Anderson","year":"2008","unstructured":"Anderson, J. R., Carter, C. S., Fincham, J. M., Qin, Y., Ravizza, S. M., & Rosenberg-Lee, M. (2008). Using fMRI to test models of complex cognition. Cognitive Science, 32, 1323\u20131348. doi: 10.1080\/03640210802451588","journal-title":"Cognitive Science"},{"key":"317_CR6","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1111\/cogs.12068","volume":"38","author":"JR Anderson","year":"2014","unstructured":"Anderson, J. R., & Fincham, J. M. (2014). Discovering the sequential structure of thought. Cognitive Science, 38, 322\u2013352. doi: 10.1111\/cogs.12068","journal-title":"Cognitive Science"},{"key":"317_CR7","doi-asserted-by":"crossref","first-page":"278","DOI":"10.1038\/nrn2334","volume":"9","author":"D Ansari","year":"2008","unstructured":"Ansari, D. (2008). Effects of development and enculturation on number representation in the brain. Nature Reviews Neuroscience, 9, 278\u2013291.","journal-title":"Nature Reviews Neuroscience"},{"key":"317_CR8","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1023\/A:1024312321077","volume":"52","author":"A Arcavi","year":"2003","unstructured":"Arcavi, A. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52, 215\u2013241.","journal-title":"Educational Studies in Mathematics"},{"key":"317_CR9","first-page":"42","volume":"14","author":"S Beckmann","year":"2004","unstructured":"Beckmann, S. (2004). Solving algebra and other story problems with simple diagrams: A method demonstrated in grade 4\u20136 texts used in Singapore. Mathematics Educator, 14, 42\u201346.","journal-title":"Mathematics Educator"},{"key":"317_CR10","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/j.learninstruc.2008.06.012","volume":"19","author":"IE Berends","year":"2009","unstructured":"Berends, I. E., & van Lieshout, E. C. (2009). The effect of illustrations in arithmetic problem-solving: Effects of increased cognitive load. Learning and Instruction, 19, 345\u2013353.","journal-title":"Learning and Instruction"},{"key":"317_CR11","doi-asserted-by":"crossref","first-page":"2767","DOI":"10.1093\/cercor\/bhp055","volume":"19","author":"JR Binder","year":"2009","unstructured":"Binder, J. R., Desai, R. H., Graves, W. W., & Conant, L. L. (2009). Where is the semantic system? A critical review and meta-analysis of 120 functional neuroimaging studies. Cerebral Cortex, 19, 2767\u20132796.","journal-title":"Cerebral Cortex"},{"key":"317_CR12","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1523\/JNEUROSCI.17-01-00353.1997","volume":"17","author":"JR Binder","year":"1997","unstructured":"Binder, J. R., Frost, J. A., Hammeke, T. A., Cox, R. W., Rao, S. M., & Prieto, T. (1997). Human brain language areas identified by functional magnetic resonance imaging. Journal of Neuroscience, 17, 353\u2013362.","journal-title":"Journal of Neuroscience"},{"key":"317_CR13","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1093\/deafed\/enm022","volume":"12","author":"G Blatto-Vallee","year":"2007","unstructured":"Blatto-Vallee, G., Kelly, R. R., Gaustad, M. G., Porter, J., & Fonzi, J. (2007). Visual\u2013spatial representation in mathematical problem solving by deaf and hearing students. Journal of Deaf Studies and Deaf Education, 12, 432\u2013448.","journal-title":"Journal of Deaf Studies and Deaf Education"},{"key":"317_CR14","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1111\/j.2044-8279.2011.02041.x","volume":"82","author":"JL Booth","year":"2012","unstructured":"Booth, J. L., & Koedinger, K. R. (2012). Are diagrams always helpful tools? Developmental and individual differences in the effect of presentation format on student problem solving. British Journal of Educational Psychology, 82, 492\u2013511.","journal-title":"British Journal of Educational Psychology"},{"key":"317_CR15","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1037\/0012-1649.41.6.189","volume":"42","author":"JL Booth","year":"2006","unstructured":"Booth, J. L., & Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 42, 189\u2013201. doi: 10.1037\/0012-1649.41.6.189","journal-title":"Developmental Psychology"},{"key":"317_CR16","doi-asserted-by":"crossref","first-page":"1016","DOI":"10.1111\/j.1467-8624.2008.01173.x","volume":"79","author":"JL Booth","year":"2008","unstructured":"Booth, J. L., & Siegler, R. S. (2008). Numerical magnitude representations influence arithmetic learning. Child Development, 79, 1016\u20131031.","journal-title":"Child Development"},{"key":"317_CR17","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/j.neuroimage.2009.01.064","volume":"46","author":"SA Bunge","year":"2009","unstructured":"Bunge, S. A., Helskog, E. H., & Wendelken, C. (2009). Left, but not right, rostrolateral prefrontal cortex meets a stringent test of the relational integration hypothesis. NeuroImage, 46, 338\u2013342.","journal-title":"NeuroImage"},{"key":"317_CR18","doi-asserted-by":"crossref","first-page":"4693","DOI":"10.1073\/pnas.0600444103","volume":"103","author":"F Castelli","year":"2006","unstructured":"Castelli, F., Glaser, D. E., & Butterworth, B. (2006). Discrete and analogue quantity processing in the parietal lobe: A functional MRI study. Proceedings of the National Academy of Sciences, 103, 4693\u20134698.","journal-title":"Proceedings of the National Academy of Sciences"},{"key":"317_CR19","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1016\/j.neuroimage.2008.09.003","volume":"44","author":"Z Cattaneo","year":"2009","unstructured":"Cattaneo, Z., Silvanto, J., Pascual-Leone, A., & Battelli, L. (2009). The role of the angular gyrus in the modulation of visuospatial attention by the mental number line. NeuroImage, 44, 563\u2013568.","journal-title":"NeuroImage"},{"key":"317_CR20","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.neulet.2006.04.041","volume":"403","author":"F Chen","year":"2006","unstructured":"Chen, F., Hu, Z., Zhao, X., Wang, R., Yang, Z., Wang, X., & Tang, X. (2006). Neural correlates of serial abacus mental calculation in children: A functional MRI study. Neuroscience Letters, 403, 46\u201351.","journal-title":"Neuroscience Letters"},{"key":"317_CR21","doi-asserted-by":"crossref","first-page":"1136","DOI":"10.1006\/nimg.2001.0922","volume":"14","author":"K Christoff","year":"2001","unstructured":"Christoff, K., Prabhakaran, V., Dorfman, J., Zhao, Z., Kroger, J. K., Holyoak, K. J., & Gabrieli, J. D. E. (2001). Rostrolateral prefrontal cortex involvement in relational integration during reasoning. NeuroImage, 14, 1136\u20131149. doi: 10.1006\/nimg.2001.0922","journal-title":"NeuroImage"},{"key":"317_CR22","first-page":"420","volume-title":"Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics","author":"DH Clements","year":"1992","unstructured":"Clements, D. H., & Battista, M. T. (1992). Geometry and spatial reasoning. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 420\u2013464). New York, NY: Macmillan."},{"key":"317_CR23","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.pneurobio.2007.11.001","volume":"84","author":"R Cohen Kadosh","year":"2008","unstructured":"Cohen Kadosh, R., Lammertyn, J., & Izard, V. (2008). Are numbers special? An overview of chronometric, neuroimaging, developmental, and comparative studies of magnitude representation. Progress in Neurobiology, 84, 132\u2013147. doi: 10.1016\/j.pneurobio.2007.11.001","journal-title":"Progress in Neurobiology"},{"key":"317_CR24","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1038\/73009","volume":"3","author":"M Corbetta","year":"2000","unstructured":"Corbetta, M., Kincade, J. M., Ollinger, J. M., McAvoy, M. P., & Shulman, G. L. (2000). Voluntary orienting is dissociated from target detection in human posterior parietal cortex. Nature Neuroscience, 3, 292\u2013297.","journal-title":"Nature Neuroscience"},{"key":"317_CR25","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1006\/cbmr.1996.0014","volume":"29","author":"RW Cox","year":"1996","unstructured":"Cox, R. W. (1996). AFNI: Software for analysis and visualization of functional magnetic resonance neuroimages. Computers and Biomedical Research, 29, 162\u2013173.","journal-title":"Computers and Biomedical Research"},{"key":"317_CR26","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1002\/(SICI)1099-1492(199706\/08)10:4\/5<171::AID-NBM453>3.0.CO;2-L","volume":"10","author":"R Cox","year":"1997","unstructured":"Cox, R., & Hyde, J. S. (1997). Software tools for analysis and visualization of fMRI data. NMR in Biomedicine, 10, 171\u2013178.","journal-title":"NMR in Biomedicine"},{"key":"317_CR27","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/S0959-4388(00)00191-4","volume":"11","author":"JC Culham","year":"2001","unstructured":"Culham, J. C., & Kanwisher, N. G. (2001). Neuroimaging of cognitive functions in human parietal cortex. Current Opinion in Neurobiology, 11, 157\u2013163.","journal-title":"Current Opinion in Neurobiology"},{"key":"317_CR28","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1016\/S0028-3932(96)00121-2","volume":"35","author":"M D\u2019Esposito","year":"1997","unstructured":"D\u2019Esposito, M., Detre, J. A., Aguirre, G. K., Stallcup, M., Alsop, D. C., Tippet, L. J., & Farah, M. J. (1997). A functional MRI study of mental image generation. Neuropsychologia, 35, 725\u2013730.","journal-title":"Neuropsychologia"},{"key":"317_CR29","doi-asserted-by":"crossref","first-page":"1365","DOI":"10.1016\/j.neuroimage.2007.01.032","volume":"35","author":"JF Danker","year":"2007","unstructured":"Danker, J. F., & Anderson, J. R. (2007). The roles of prefrontal and posterior parietal cortex in algebra problem solving: A case of using cognitive modeling to inform neuroimaging data. NeuroImage, 35, 1365\u20131377. doi: 10.1016\/j.neuroimage.2007.01.032","journal-title":"NeuroImage"},{"key":"317_CR30","volume-title":"The number sense: How the mind creates mathematics","author":"S Dehaene","year":"1997","unstructured":"Dehaene, S. (1997). The number sense: How the mind creates mathematics. New York, NY: Oxford University Press."},{"key":"317_CR31","first-page":"83","volume":"1","author":"S Dehaene","year":"1995","unstructured":"Dehaene, S., & Cohen, L. (1995). Towards an anatomical and functional model of number processing. Mathematical Cognition, 1, 83\u2013120.","journal-title":"Mathematical Cognition"},{"key":"317_CR32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0010-0277(00)00123-2","volume":"79","author":"S Dehaene","year":"2001","unstructured":"Dehaene, S., & Naccache, L. (2001). Towards a cognitive neuroscience of consciousness: Basic evidence and a workspace framework. Cognition, 79, 1\u201337. doi: 10.1016\/S0010-0277(00)00123-2","journal-title":"Cognition"},{"key":"317_CR33","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1080\/02643290244000239","volume":"20","author":"S Dehaene","year":"2003","unstructured":"Dehaene, S., Piazza, M., Pinel, P., & Cohen, L. (2003). Three parietal circuits for number processing. Cognitive Neuropsychology, 20, 487\u2013506.","journal-title":"Cognitive Neuropsychology"},{"key":"317_CR34","doi-asserted-by":"crossref","unstructured":"Dehaene, S., Tzourio, N., Frak, V., Raynaud, L., Cohen, L., Mehler, J.,Mazoyer, B. (1996). Cerebral activations during number multiplicationand comparison: a PET study. Neuropsychologia, 34, 1097\u20131106.","DOI":"10.1016\/0028-3932(96)00027-9"},{"key":"317_CR35","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.cogbrainres.2003.09.005","volume":"18","author":"M Delazer","year":"2003","unstructured":"Delazer, M., Domahs, F., Bartha, L., Brenneis, C., Lochy, A., Trieb, T., & Benke, T. (2003). Learning complex arithmetic\u2014an fMRI study. Cognitive Brain Research, 18, 76\u201388.","journal-title":"Cognitive Brain Research"},{"key":"317_CR36","doi-asserted-by":"crossref","first-page":"462","DOI":"10.3758\/BF03196397","volume":"29","author":"JA Dixon","year":"2001","unstructured":"Dixon, J. A., Deets, J. K., & Bangert, A. (2001). The representations of the arithmetic operations include functional relationships. Memory & Cognition, 29, 462\u2013477.","journal-title":"Memory & Cognition"},{"key":"317_CR37","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1016\/S0896-6273(03)00036-9","volume":"37","author":"E Eger","year":"2003","unstructured":"Eger, E., Sterzer, P., Russ, M. O., Giraud, A. L., & Kleinschmidt, A. (2003). A supramodal number representation in human intraparietal cortex. Neuron, 37, 719\u2013726.","journal-title":"Neuron"},{"key":"317_CR38","doi-asserted-by":"crossref","first-page":"6117","DOI":"10.1523\/JNEUROSCI.6489-11.2012","volume":"32","author":"SM Fleming","year":"2012","unstructured":"Fleming, S. M., Huijgen, J., & Dolan, R. J. (2012). Prefrontal contributions to metacognition in perceptual decision making. Journal of Neuroscience, 32, 6117\u20136125. doi: 10.1523\/JNEUROSCI.6489-11.2012","journal-title":"Journal of Neuroscience"},{"key":"317_CR39","volume-title":"Kit of reference tests for cognitive factors","author":"JW French","year":"1963","unstructured":"French, J. W., Ekstrom, R. B., & Price, I. A. (1963). Kit of reference tests for cognitive factors. Princeton, NJ: Educational Testing Service."},{"key":"317_CR40","volume-title":"Statistical parametric mapping: The analysis of functional brain images: The analysis of functional brain images","year":"2011","unstructured":"Friston, K. J., Ashburner, J. T., Kiebel, S. J., Nichols, T. E., & Penny, W. D. (Eds.). (2011). Statistical parametric mapping: The analysis of functional brain images: The analysis of functional brain images. San Diego, CA: Academic Press."},{"key":"317_CR41","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1016\/j.cogbrainres.2004.02.012","volume":"20","author":"G Ganis","year":"2004","unstructured":"Ganis, G., Thompson, W. L., & Kosslyn, S. M. (2004). Brain areas underlying visual mental imagery and visual perception: An fMRI study. Cognitive Brain Research, 20, 226\u2013241. doi: 10.1016\/j.cogbrainres.2004.02.012","journal-title":"Cognitive Brain Research"},{"issue":"Part 2","key":"317_CR42","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1348\/000709900158047","volume":"70","author":"SE Gathercole","year":"2000","unstructured":"Gathercole, S. E., & Pickering, S. J. (2000). Working memory deficits in children with low achievements in the national curriculum at 7 years of age. British Journal of Educational Psychology, 70(Part 2), 177\u2013194.","journal-title":"British Journal of Educational Psychology"},{"key":"317_CR43","doi-asserted-by":"crossref","first-page":"1343","DOI":"10.1111\/j.1467-8624.2007.01069.x","volume":"78","author":"DC Geary","year":"2007","unstructured":"Geary, D. C., Hoard, M. K., Byrd-Craven, J., Nugent, L., & Numtee, C. (2007). Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability. Child Development, 78, 1343\u20131359.","journal-title":"Child Development"},{"key":"317_CR44","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1093\/brain\/88.3.585","volume":"88","author":"N Geschwind","year":"1965","unstructured":"Geschwind, N. (1965). Disconnexion syndromes in animals and man. Brain, 88, 585\u2013585.","journal-title":"Brain"},{"key":"317_CR45","doi-asserted-by":"crossref","first-page":"1278","DOI":"10.1006\/nimg.2001.0927","volume":"14","author":"S G\u00f6bel","year":"2001","unstructured":"G\u00f6bel, S., Walsh, V., & Rushworth, M. F. (2001). The mental number line and the human angular gyrus. NeuroImage, 14, 1278\u20131289.","journal-title":"NeuroImage"},{"key":"317_CR46","first-page":"397","volume-title":"Theories of mathematical learning","author":"GA Goldin","year":"1996","unstructured":"Goldin, G. A., & Kaput, J. J. (1996). A joint perspective on the idea of representation in learning and doing mathematics. In L. Steffe & P. Nesher (Eds.), Theories of mathematical learning (pp. 397\u2013430). Mahwah, NJ: Erlbaum."},{"key":"317_CR47","doi-asserted-by":"crossref","first-page":"604","DOI":"10.1016\/j.neuropsychologia.2008.10.013","volume":"47","author":"RH Grabner","year":"2009","unstructured":"Grabner, R. H., Ansari, D., Koschutnig, K., Reishofer, G., Ebner, F., & Neuper, C. (2009). To retrieve or to calculate? Left angular gyrus mediates the retrieval of arithmetic facts during problem solving. Neuropsychologia, 47, 604\u2013608.","journal-title":"Neuropsychologia"},{"key":"317_CR48","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1002\/hbm.21489","volume":"34","author":"RH Grabner","year":"2013","unstructured":"Grabner, R. H., Ansari, D., Koschutnig, K., Reishofer, G., & Ebner, F. (2013). The function of the left angular gyrus in mental arithmetic: Evidence from the associative confusion effect. Human Brain Mapping, 34, 1013\u20131024.","journal-title":"Human Brain Mapping"},{"key":"317_CR49","volume-title":"The mathematician\u2019s mind: The psychology of invention in the mathematical field","author":"J Hadamard","year":"1945","unstructured":"Hadamard, J. (1945). The mathematician\u2019s mind: The psychology of invention in the mathematical field. Princeton, NJ: Princeton University Press."},{"key":"317_CR50","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1207\/s15327833mtl0101_3","volume":"1","author":"L Healy","year":"1999","unstructured":"Healy, L., & Hoyles, C. (1999). Visual and symbolic reasoning in mathematics: Making connections with computers? Mathematical Thinking and Learning, 1, 59\u201384.","journal-title":"Mathematical Thinking and Learning"},{"key":"317_CR51","doi-asserted-by":"crossref","first-page":"684","DOI":"10.1037\/0022-0663.91.4.684","volume":"91","author":"M Hegarty","year":"1999","unstructured":"Hegarty, M., & Kozhevnikov, M. (1999). Types of visual\u2013spatial representations and mathematical problem solving. Journal of Educational Psychology, 91, 684\u2013689. doi: 10.1037\/0022-0663.91.4.684","journal-title":"Journal of Educational Psychology"},{"key":"317_CR52","doi-asserted-by":"crossref","first-page":"242","DOI":"10.2307\/749120","volume":"23","author":"R Hembree","year":"1992","unstructured":"Hembree, R. (1992). Experiments and relational studies in problem solving: A meta-analysis. Journal for Research in Mathematics Education, 23, 242\u2013273.","journal-title":"Journal for Research in Mathematics Education"},{"key":"317_CR53","first-page":"19","volume":"66","author":"LY Hoong","year":"2010","unstructured":"Hoong, L. Y., Fwe, Y. S., Yvonne, T. M. L., Subramaniam, T., Zaini, I. K. B. M., Chiew, Q. E., & Karen, T. K. L. (2010). Concretising factorisation of quadratic expressions. Australian Mathematics Teacher, 66, 19\u201324.","journal-title":"Australian Mathematics Teacher"},{"key":"317_CR54","doi-asserted-by":"crossref","first-page":"1701","DOI":"10.1093\/brain\/124.9.1701","volume":"124","author":"EB Isaacs","year":"2001","unstructured":"Isaacs, E. B., Edmonds, C. J., Lucas, A., & Gadian, D. G. (2001). Calculation difficulties in children of very low birthweight: A neural correlate. Brain, 124, 1701\u20131707.","journal-title":"Brain"},{"key":"317_CR55","doi-asserted-by":"crossref","first-page":"979","DOI":"10.1016\/S0896-6273(00)00168-9","volume":"28","author":"A Ishai","year":"2000","unstructured":"Ishai, A., Ungerleider, L. G., & Haxby, J. V. (2000). Distributed neural systems for the generation of visual images. Neuron, 28, 979\u2013990.","journal-title":"Neuron"},{"key":"317_CR56","first-page":"69","volume-title":"Complex information processing: The impact of Herbert A. Simon","author":"K Kotovsky","year":"1989","unstructured":"Kotovsky, K., & Fallside, D. F. (1989). Representation and transfer in problem solving. In D. Klahr & K. Kotovsky (Eds.), Complex information processing: The impact of Herbert A. Simon (pp. 69\u2013108). Hillsdale, NJ: Erlbaum."},{"key":"317_CR57","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/BF03173141","volume":"23","author":"M Kytt\u00e4l\u00e4","year":"2008","unstructured":"Kytt\u00e4l\u00e4, M., & Lehto, J. E. (2008). Some factors underlying mathematical performance: The role of visuospatial working memory and non-verbal intelligence. European Journal of Psychology of Education, 23, 77\u201394.","journal-title":"European Journal of Psychology of Education"},{"key":"317_CR58","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1111\/j.1551-6708.1987.tb00863.x","volume":"11","author":"JH Larkin","year":"1987","unstructured":"Larkin, J. H., & Simon, H. A. (1987). Why a diagram is (sometimes) worth ten thousand words. Cognitive Science, 11, 65\u2013100.","journal-title":"Cognitive Science"},{"key":"317_CR59","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1002\/1531-8249(200010)48:4<657::AID-ANA13>3.0.CO;2-K","volume":"48","author":"KM Lee","year":"2000","unstructured":"Lee, K. M. (2000). Cortical areas differentially involved in multiplication and subtraction: A functional magnetic resonance imaging study and correlation with a case of selective acalculia. Annals of Neurology, 48, 657\u2013661.","journal-title":"Annals of Neurology"},{"key":"317_CR60","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.tine.2014.01.001","volume":"3","author":"HS Lee","year":"2014","unstructured":"Lee, H. S., Fincham, J. M., Betts, S., & Anderson, J. R. (2014). An fMRI investigation of instructional guidance in mathematical problem solving. Trends in Neuroscience and Education, 3, 50\u201362. doi: 10.1016\/j.tine.2014.01.001","journal-title":"Trends in Neuroscience and Education"},{"key":"317_CR61","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/j.brainres.2007.04.040","volume":"1155","author":"K Lee","year":"2007","unstructured":"Lee, K., Lim, Z. Y., Yeong, S. H., Ng, S. F., Venkatraman, V., & Chee, M. W. (2007). Strategic differences in algebraic problem solving: Neuroanatomical correlates. Brain Research, 1155, 163\u2013171.","journal-title":"Brain Research"},{"key":"317_CR62","first-page":"216","volume":"22","author":"J-A LeFevre","year":"1996","unstructured":"LeFevre, J.-A., Sadesky, G. S., & Bisanz, J. (1996). Selection of procedures in mental addition: Reassessing the problem size effect in adults. Journal of Experimental Psychology: Learning, Memory, and Cognition, 22, 216\u2013230. doi: 10.1037\/0278-7393.22.1.216","journal-title":"Journal of Experimental Psychology: Learning, Memory, and Cognition"},{"key":"317_CR63","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1037\/0022-0663.81.4.521","volume":"81","author":"AB Lewis","year":"1989","unstructured":"Lewis, A. B. (1989). Training students to represent arithmetic word problems. Journal of Educational Psychology, 81, 521\u2013531.","journal-title":"Journal of Educational Psychology"},{"key":"317_CR64","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1006\/nimg.2000.0613","volume":"12","author":"V Menon","year":"2000","unstructured":"Menon, V., Rivera, S. M., White, C. D., Glover, G. H., & Reiss, A. L. (2000). Dissociating prefrontal and parietal cortex activation during arithmetic processing. NeuroImage, 12, 357\u2013365.","journal-title":"NeuroImage"},{"key":"317_CR65","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/B978-0-12-394388-0.00006-X","volume":"42","author":"KS Mix","year":"2011","unstructured":"Mix, K. S., & Cheng, Y. L. (2011). The relation between space and math: Developmental and educational implications. Advances in Child Development and Behavior, 42, 197\u2013243.","journal-title":"Advances in Child Development and Behavior"},{"key":"317_CR66","doi-asserted-by":"crossref","unstructured":"Molko, N., Cachia, A., Riviere, D., Mangin, J. F., Bruandet, M., Le Bihan, D., . . . Dehaene, S. (2003). Functional and structural alterations of the intraparietal sulcus in a developmental dyscalculia of genetic origin. Neuron, 40, 847\u2013858.","DOI":"10.1016\/S0896-6273(03)00670-6"},{"key":"317_CR67","doi-asserted-by":"crossref","first-page":"1519","DOI":"10.1038\/2151519a0","volume":"215","author":"RS Moyer","year":"1967","unstructured":"Moyer, R. S., & Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature, 215, 1519\u20131520.","journal-title":"Nature"},{"key":"317_CR68","doi-asserted-by":"crossref","first-page":"374","DOI":"10.1080\/10986060802291642","volume":"10","author":"A Murata","year":"2008","unstructured":"Murata, A. (2008). Mathematics teaching and learning as a mediating process: The case of tape diagrams. Mathematical Thinking and Learning, 10, 374\u2013406.","journal-title":"Mathematical Thinking and Learning"},{"key":"317_CR69","doi-asserted-by":"crossref","unstructured":"Naccache, L., & Dehaene, S. (2001). The priming method: Imaging unconscious repetition priming reveals an abstract representation of number in the parietal lobes. Cerebral Cortex, 11(10), 966\u2013974.","DOI":"10.1093\/cercor\/11.10.966"},{"key":"317_CR70","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1162\/08989290051137549","volume":"12","author":"KM O\u2019Craven","year":"2000","unstructured":"O\u2019Craven, K. M., & Kanwisher, N. (2000). Mental imagery of faces and places activates corresponding stimulus-specific brain regions. Journal of Cognitive Neuroscience, 12, 1013\u20131023.","journal-title":"Journal of Cognitive Neuroscience"},{"key":"317_CR71","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/j.neuron.2004.10.014","volume":"44","author":"M Piazza","year":"2004","unstructured":"Piazza, M., Izard, V., Pinel, P., Le Bihan, D., & Dehaene, S. (2004). Tuning curves for approximate numerosity in the human intraparietal sulcus. Neuron, 44, 547\u2013555. doi: 10.1016\/j.neuron.2004.10.014","journal-title":"Neuron"},{"key":"317_CR72","doi-asserted-by":"crossref","first-page":"983","DOI":"10.1016\/S0896-6273(04)00107-2","volume":"41","author":"P Pinel","year":"2004","unstructured":"Pinel, P., Piazza, M., Le Bihan, D., & Dehaene, S. (2004). Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron, 41, 983\u2013993.","journal-title":"Neuron"},{"key":"317_CR73","first-page":"299","volume-title":"Mathematical reasoning: Analogies, metaphors and images","author":"NC Presmeg","year":"1997","unstructured":"Presmeg, N. C. (1997). Generalization using imagery in mathematics. In L. D. English (Ed.), Mathematical reasoning: Analogies, metaphors and images (pp. 299\u2013312). Mahwah, NJ: Erlbaum."},{"key":"317_CR74","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1163\/9789087901127_009","volume-title":"Handbook of research on the psychology of mathematics education: Past, present and future","author":"N Presmeg","year":"2006","unstructured":"Presmeg, N. (2006). Research on visualization in learning and teaching mathematics. In A. Guti\u00e9rrez & P. Boero (Eds.), Handbook of research on the psychology of mathematics education: Past, present and future (pp. 205\u2013235). Rotterdam, The Netherlands: Sense."},{"key":"317_CR75","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1111\/j.1467-8624.2007.01131.x","volume":"79","author":"GB Ramani","year":"2008","unstructured":"Ramani, G. B., & Siegler, R. S. (2008). Promoting broad and stable improvements in low-income children\u2019s numerical knowledge through playing number board games. Child Development, 79, 375\u2013394.","journal-title":"Child Development"},{"key":"317_CR76","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/j.brainres.2008.08.030","volume":"1238","author":"SM Ravizza","year":"2008","unstructured":"Ravizza, S. M., Anderson, J. R., & Carter, C. S. (2008). Errors of mathematical processing: The relationship of accuracy to neural regions associated with retrieval or representation of the problem state. Brain Research, 1238, 118\u2013126.","journal-title":"Brain Research"},{"key":"317_CR77","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1080\/01443410120090786","volume":"21","author":"M Reuhkala","year":"2001","unstructured":"Reuhkala, M. (2001). Mathematical skills in ninth-graders: Relationship with visuo-spatial abilities and working memory. Educational Psychology, 21, 387\u2013399.","journal-title":"Educational Psychology"},{"key":"317_CR78","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/j.bbr.2009.03.012","volume":"202","author":"AT Sack","year":"2009","unstructured":"Sack, A. T. (2009). Parietal cortex and spatial cognition. Behavioural Brain Research, 202, 153\u2013161.","journal-title":"Behavioural Brain Research"},{"key":"317_CR79","doi-asserted-by":"crossref","first-page":"1414","DOI":"10.1016\/j.neuroimage.2004.03.021","volume":"22","author":"VJ Schmithorst","year":"2004","unstructured":"Schmithorst, V. J., & Brown, R. D. (2004). Empirical validation of the triple-code model of numerical processing for complex math operations using functional MRI and group independent component analysis of the mental addition and subtraction of fractions. NeuroImage, 22, 1414\u20131420. doi: 10.1016\/j.neuroimage.2004.03.021","journal-title":"NeuroImage"},{"key":"317_CR80","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1016\/S0010-9452(78)80055-0","volume":"14","author":"T Shallice","year":"1978","unstructured":"Shallice, T., & Evans, M. E. (1978). The involvement of the frontal lobes in cognitive estimation. Cortex, 14, 294\u2013303.","journal-title":"Cortex"},{"key":"317_CR81","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1111\/j.1467-8624.2004.00684.x","volume":"75","author":"RS Siegler","year":"2004","unstructured":"Siegler, R. S., & Booth, J. L. (2004). Development of numerical estimation in young children. Child Development, 75, 428\u2013444.","journal-title":"Child Development"},{"key":"317_CR82","doi-asserted-by":"crossref","first-page":"1994","DOI":"10.1037\/a0031200","volume":"49","author":"RS Siegler","year":"2013","unstructured":"Siegler, R. S., & Pyke, A. A. (2013). Developmental and individual differences in understanding of fractions. Developmental Psychology, 49, 1994\u20132004. doi: 10.1037\/a0031200","journal-title":"Developmental Psychology"},{"key":"317_CR83","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1037\/a0014239","volume":"101","author":"RS Siegler","year":"2009","unstructured":"Siegler, R. S., & Ramani, G. B. (2009). Playing linear number board games\u2014but not circular ones\u2014improves low-income preschoolers\u2019 numerical understanding. Journal of Educational Psychology, 101, 545\u2013560. doi: 10.1037\/a0014239","journal-title":"Journal of Educational Psychology"},{"key":"317_CR84","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1016\/S0896-6273(02)00575-5","volume":"33","author":"O Simon","year":"2002","unstructured":"Simon, O., Cohen, L., Mangin, J. F., Bihan, D. L., & Dehaene, S. (2002). Topographical layout of hand, eye, calculation and language related areas in the human parietal lobe. Neuron, 33, 475\u2013487.","journal-title":"Neuron"},{"key":"317_CR85","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1023\/A:1003602322232","volume":"37","author":"D Slavit","year":"1998","unstructured":"Slavit, D. (1998). The role of operation sense in transitions from arithmetic to algebraic thought. Educational Studies in Mathematics, 37, 251\u2013274.","journal-title":"Educational Studies in Mathematics"},{"key":"317_CR86","doi-asserted-by":"crossref","first-page":"1193","DOI":"10.1038\/nn1337","volume":"7","author":"M-H Sohn","year":"2004","unstructured":"Sohn, M.-H., Goode, A., Koedinger, K. R., Stenger, V. A., Fissell, K., Carter, C. S., & Anderson, J. R. (2004). Behavioral equivalence, but not neural equivalence\u2014neural evidence of alternative strategies in mathematical thinking. Nature Neuroscience, 7, 1193\u20131194.","journal-title":"Nature Neuroscience"},{"key":"317_CR87","first-page":"195","volume":"11","author":"D Tall","year":"2006","unstructured":"Tall, D. (2006). A theory of mathematical growth through embodiment, symbolism and proof. Annales de Didactique et de Sciences Cognitives, 11, 195\u2013215.","journal-title":"Annales de Didactique et de Sciences Cognitives"},{"key":"317_CR88","first-page":"1327","volume-title":"Proceedings of the Twenty-Sixth Annual Conference of the Cognitive Science Society","author":"A Terao","year":"2004","unstructured":"Terao, A., Koedinger, K. R., Sohn, M. H., Qin, Y., Anderson, J. R., & Carter, C. S. (2004). An fMRI study of the interplay of symbolic and visuo-spatial systems in mathematical reasoning. In K. Forbus, D. Gentner, & T. Regier (Eds.), Proceedings of the Twenty-Sixth Annual Conference of the Cognitive Science Society (pp. 1327\u20131332). Mahwah, NJ: Erlbaum."},{"key":"317_CR89","doi-asserted-by":"crossref","first-page":"14792","DOI":"10.1073\/pnas.94.26.14792","volume":"94","author":"SL Thompson-Schill","year":"1997","unstructured":"Thompson-Schill, S. L., D\u2019Esposito, M., Aguirre, G. K., & Farah, M. J. (1997). Role of left inferior prefrontal cortex in retrieval of semantic knowledge: A reevaluation. Proceedings of the National Academy of Sciences, 94, 14792\u201314797.","journal-title":"Proceedings of the National Academy of Sciences"},{"key":"317_CR90","doi-asserted-by":"crossref","first-page":"496","DOI":"10.1177\/00222194060390060201","volume":"39","author":"D Garderen van","year":"2006","unstructured":"van Garderen, D. (2006). Spatial visualization, visual imagery, and mathematical problem solving of students with varying abilities. Journal of Learning Disabilities, 39, 496\u2013506.","journal-title":"Journal of Learning Disabilities"},{"key":"317_CR91","doi-asserted-by":"crossref","first-page":"2647","DOI":"10.1093\/cercor\/bhq012","volume":"20","author":"E Volle","year":"2010","unstructured":"Volle, E., Gilbert, S. J., Benoit, R. G., & Burgess, P. W. (2010). Specialization of the rostral prefrontal cortex for distinct analogy processes. Cerebral Cortex, 20, 2647\u20132659.","journal-title":"Cerebral Cortex"},{"key":"317_CR92","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/S0896-6273(01)00359-2","volume":"31","author":"AD Wagner","year":"2001","unstructured":"Wagner, A. D., Par\u00e9-Blagoev, E. J., Clark, J., & Poldrack, R. A. (2001). Recovering meaning: Left prefrontal cortex guides controlled semantic retrieval. Neuron, 31, 329\u2013338.","journal-title":"Neuron"},{"key":"317_CR93","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/j.neuroimage.2009.06.025","volume":"48","author":"I Wartenburger","year":"2009","unstructured":"Wartenburger, I., Heekeren, H. R., Preusse, F., Kramer, J., & van der Meer, E. (2009). Cerebral correlates of analogical processing and their modulation by training. NeuroImage, 48, 291\u2013302. doi: 10.1016\/j.neuroimage.2009.06.025","journal-title":"NeuroImage"},{"key":"317_CR94","doi-asserted-by":"crossref","first-page":"2831","DOI":"10.1016\/j.neuroimage.2011.09.030","volume":"59","author":"CE Watson","year":"2012","unstructured":"Watson, C. E., & Chatterjee, A. (2012). A bilateral frontoparietal network underlies visuospatial analogical reasoning. NeuroImage, 59, 2831\u20132838.","journal-title":"NeuroImage"},{"key":"317_CR95","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1162\/jocn.2008.20055","volume":"20","author":"C Wendelken","year":"2008","unstructured":"Wendelken, C., Nakhabenko, D., Donohue, S. E., Carter, C. S., & Bunge, S. A. (2008). \u201cBrain is to thought as stomach is to ??\u201d: Investigating the role of rostrolateral prefrontal cortex in relational reasoning. Journal of Cognitive Neuroscience, 20, 682\u2013693. doi: 10.1162\/jocn.2008.20055","journal-title":"Journal of Cognitive Neuroscience"},{"key":"317_CR96","doi-asserted-by":"crossref","first-page":"588","DOI":"10.1037\/0012-1649.44.2.588","volume":"44","author":"JC Whyte","year":"2008","unstructured":"Whyte, J. C., & Bull, R. (2008). Number games, magnitude representation, and basic number skills in preschoolers. Developmental Psychology, 44, 588\u2013596.","journal-title":"Developmental Psychology"},{"key":"317_CR97","doi-asserted-by":"crossref","first-page":"e50154","DOI":"10.1371\/journal.pone.0050154","volume":"7","author":"S Wintermute","year":"2012","unstructured":"Wintermute, S., Betts, S., Ferris, J. L., Fincham, J. M., & Anderson, J. R. (2012). Brain networks supporting execution of mathematical skills versus acquisition of new mathematical competence. PLoS ONE, 7, e50154. doi: 10.1371\/journal.pone.0050154","journal-title":"PLoS ONE"},{"key":"317_CR98","doi-asserted-by":"crossref","first-page":"314","DOI":"10.1006\/nimg.2000.0697","volume":"13","author":"L Zago","year":"2001","unstructured":"Zago, L., Pesenti, M., Mellet, E., Crivello, F., Mazoyer, B., & Tzourio-Mazoyer, N. (2001). Neural correlates of simple and complex mental calculation. NeuroImage, 13, 314\u2013327.","journal-title":"NeuroImage"},{"key":"317_CR99","doi-asserted-by":"crossref","unstructured":"Zarnhofer, S., Braunstein, V., Ebner, F., Koschutnig, K., Neuper, C., Ninaus, M., . . . Ischebeck, A. (2013). Individual differences in solving arithmetic word problems. Behavioral and Brain Functions, 9, 28. doi: 10.1186\/1744-9081-9-28","DOI":"10.1186\/1744-9081-9-28"},{"key":"317_CR100","first-page":"331","volume-title":"The handbook of mathematical cognition","author":"NJ Zbrodoff","year":"2005","unstructured":"Zbrodoff, N. J., & Logan, G. D. (2005). What everyone finds: The problem size effect. In J. I. D. Campbell (Ed.), The handbook of mathematical cognition (pp. 331\u2013345). New York, NY: Psychology Press."},{"key":"317_CR101","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1038\/417138a","volume":"417","author":"M Zorzi","year":"2002","unstructured":"Zorzi, M., Priftis, K., & Umilt\u00e0, C. (2002). Brain damage: Neglect disrupts the mental number line. Nature, 417, 138\u2013139. doi: 10.1038\/417138a","journal-title":"Nature"}],"container-title":["Cognitive, Affective, &amp; Behavioral Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.3758\/s13415-014-0317-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.3758\/s13415-014-0317-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.3758\/s13415-014-0317-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,24]],"date-time":"2020-08-24T18:21:25Z","timestamp":1598293285000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.3758\/s13415-014-0317-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,10]]},"references-count":101,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["317"],"URL":"https:\/\/doi.org\/10.3758\/s13415-014-0317-4","relation":{},"ISSN":["1530-7026","1531-135X"],"issn-type":[{"value":"1530-7026","type":"print"},{"value":"1531-135X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,10]]}}}