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This study demonstrates that node-level concept network analysis can provide operational definitions for important knowledge by deconstructing their characteristics into quantifiable structural features. Using a mathematics concept network, we analyzed both Big Ideas and International Baccalaureate (IB) key concepts, examining whether their characteristics can be systematically deconstructed into network indicators. The analysis successfully deconstructs important knowledge characteristics into structural features, with the deconstruction process demonstrating stability across independent optimization algorithms. While specific indicators (such as degree centrality) emerge from the analysis, the fundamental contribution is establishing the analytical framework itself. This research illustrates the potential of concept network analysis for addressing fundamental challenges in curriculum design and knowledge-focused educational research.<\/jats:p>","DOI":"10.3390\/systems13121090","type":"journal-article","created":{"date-parts":[[2025,12,3]],"date-time":"2025-12-03T10:34:01Z","timestamp":1764758041000},"page":"1090","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Identifying Important Knowledge Through Node-Level Concept Network Analysis: Addressing \u201cWhat to Teach\u201d"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-8360-6934","authenticated-orcid":false,"given":"Xiang","family":"Cao","sequence":"first","affiliation":[{"name":"School of Systems Science, Beijing Normal University, No. 19 Xinjiekou Wai Street, Beijing 100875, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5014-385X","authenticated-orcid":false,"given":"Jinshan","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Systems Science, Beijing Normal University, No. 19 Xinjiekou Wai Street, Beijing 100875, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,12,3]]},"reference":[{"key":"ref_1","unstructured":"Wiggins, G.P., and McTighe, J. (2005). Understanding by Design, Association for Supervision and Curriculum Development. [2nd ed.]."},{"key":"ref_2","first-page":"9","article-title":"Big Ideas and Understandings as the Foundation for Elementary and Middle School Mathematics","volume":"7","author":"Charles","year":"2005","journal-title":"J. Math. Educ."},{"key":"ref_3","unstructured":"Meyer, J., and Land, R. (2003). Threshold Concepts and Troublesome Knowledge: Linkages to Ways of Thinking and Practising within the Disciplines, Oxford Brookes University."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/s10734-004-6779-5","article-title":"Threshold Concepts and Troublesome Knowledge (2): Epistemological Considerations and a Conceptual Framework for Teaching and Learning","volume":"49","author":"Meyer","year":"2005","journal-title":"High. Educ."},{"key":"ref_5","unstructured":"International Baccalaureate Organization (2020). Middle Years Programme Mathematics Guide (for Use from September 2020\/January 2021), International Baccalaureate Organization (UK) Ltd."},{"key":"ref_6","unstructured":"International Baccalaureate Organization (2018). Primary Years Programme: Mathematics Scope and Sequence, International Baccalaureate Organization."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1111\/j.1467-9752.2007.00554.x","article-title":"Demystifying Threshold Concepts","volume":"41","author":"Rowbottom","year":"2007","journal-title":"J. Philos. Educ."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"16","DOI":"10.11120\/plan.2006.00170016","article-title":"Threshold Concepts within the Disciplines: A Report on a Symposium at the University of Strathclyde, Glasgow, 30 August to 1 September 2006","volume":"17","author":"Bradbeer","year":"2006","journal-title":"Planet"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1080\/03098265.2021.1980867","article-title":"Big Ideas in the Geography Curriculum: Nature, Awareness and Need","volume":"47","author":"Gregory","year":"2023","journal-title":"J. Geogr. High. Educ."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1002\/tea.21312","article-title":"Students\u2019 Progression in Understanding the Matter Concept: Students\u2019 Progression in Understanding Matter","volume":"53","author":"Hadenfeldt","year":"2016","journal-title":"J. Res. Sci. Teach."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1002\/bmb.20517","article-title":"The Concept Lens Diagram: A New Mechanism for Presenting Biochemistry Content in Terms of \u201cBig Ideas\u201d","volume":"39","author":"Rowland","year":"2011","journal-title":"Biochem. Mol. Biol. Educ."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"822","DOI":"10.1080\/02671522.2024.2358019","article-title":"Unlocking the Power of Big Ideas in Education: A Systematic Review from 2010 to 2022","volume":"39","author":"Wang","year":"2024","journal-title":"Res. Pap. Educ."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Novak, J.D., and Gowin, D.B. (1984). Learning How to Learn, Cambridge University Press.","DOI":"10.1017\/CBO9781139173469"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1002\/tea.3660271003","article-title":"Concept Mapping: A Useful Tool for Science Education","volume":"27","author":"Novak","year":"1990","journal-title":"J. Res. Sci. Teach."},{"key":"ref_15","unstructured":"Wu, J. (2021). Teach Less, Learn More, Science Press."},{"key":"ref_16","unstructured":"Novak, J.D., and Ca\u00f1as, A.J. (2008). The Theory Underlying Concept Maps and How to Construct and Use Them, Florida Institute for Human and Machine Cognition. Available online: http:\/\/cmap.ihmc.us\/Publications\/ResearchPapers\/TheoryUnderlyingConceptMaps.pdf."},{"key":"ref_17","unstructured":"Ausubel, D.P., Novak, J.D., Hanesian, H., and Ausubel, D.F. (1978). Educational Psychology: A Cognitive View, Holt, Rinehart & Winston. [2nd ed.]."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1021\/ed071p9","article-title":"Concept Maps as a Tool to Assess Learning in Chemistry","volume":"71","author":"Pendley","year":"1994","journal-title":"J. Chem. Educ."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1111\/j.1949-8594.1984.tb09543.x","article-title":"The Concept Map as an Aid to Instruction in Science and Mathematics","volume":"84","author":"Malone","year":"1984","journal-title":"Sch. Sci. Math."},{"key":"ref_20","first-page":"548","article-title":"Meaningful Learning: The Essential Factor for Conceptual Change in Limited or Inappropriate Propositional Hierarchies Leading to Empowerment of Learners","volume":"86","author":"Novak","year":"2002","journal-title":"Sci. Educ."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2218154","DOI":"10.1080\/2331186X.2023.2218154","article-title":"The Concept Map as a Substitute for Lectures: Effects on Student Performance and Mental Health","volume":"10","author":"Wagner","year":"2023","journal-title":"Cogent Educ."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1111\/eje.12828","article-title":"Concept Map-Based Learning in an Oral Radiographic Interpretation Course: Dental Students\u2019 Perceptions of Its Role as a Learning Tool","volume":"27","author":"Gil","year":"2023","journal-title":"Eur. J. Dent. Educ."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1007\/s11251-022-09586-5","article-title":"Concept Map as a Tool to Assess and Enhance Students\u2019 System Thinking Skills","volume":"50","author":"Khajeloo","year":"2022","journal-title":"Instr. Sci."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"100862","DOI":"10.1016\/j.tsc.2021.100862","article-title":"Is the Text-Based Cognitive Tool More Effective than the Concept Map on Improving the Pre-Service Teachers\u2019 Argumentation Skills?","volume":"41","author":"Su","year":"2021","journal-title":"Think. Ski. Creat."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1109\/TE.2020.3019034","article-title":"A Concept Map-Based Remedial Learning System with Applications to the IEEE Floating-Point Standard and MIPS Encoding","volume":"64","author":"Lin","year":"2021","journal-title":"IEEE Trans. Educ."},{"key":"ref_26","first-page":"144","article-title":"Study on Extended Scratch-Build Concept Map to Enhance Students\u2019 Understanding and Promote Quality of Knowledge Structure","volume":"11","author":"Prasetya","year":"2020","journal-title":"Int. J. Adv. Comput. Sci. Appl."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1002\/tea.3660271010","article-title":"The Concept Map as a Research Tool\u2014Exploring Conceptual Change in Biology","volume":"27","author":"Wallace","year":"1990","journal-title":"J. Res. Sci. Teach."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1111\/ssm.12599","article-title":"Role of Concept Map Format and Student Interest on Introductory Electrochemistry Learning","volume":"124","author":"Wong","year":"2024","journal-title":"Sch. Sci. Math."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1038\/35065725","article-title":"Exploring Complex Networks","volume":"410","author":"Strogatz","year":"2001","journal-title":"Nature"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1103\/RevModPhys.74.47","article-title":"Statistical Mechanics of Complex Networks","volume":"74","author":"Albert","year":"2002","journal-title":"Rev. Mod. Phys."},{"key":"ref_31","first-page":"18","article-title":"Complex Networks in Statistical Physics","volume":"24","author":"Wu","year":"2004","journal-title":"Prog. Phys."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1007\/s11121-016-0678-8","article-title":"Peer Influence on Academic Performance: A Social Network Analysis of Social-Emotional Intervention Effects","volume":"17","author":"DeLay","year":"2016","journal-title":"Prev. Sci."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Quiroga, E., Garcia, I., Alberto Benitez-Andrades, J., Benavides, C., Martin, V., and Marques-Sanchez, P. (2017). A Qualitative Study of Secondary School Teachers\u2019 Perception of Social Network Analysis Metrics in the Context of Alcohol Consumption among Adolescents. Int. J. Environ. Res. Public Health, 14.","DOI":"10.3390\/ijerph14121531"},{"key":"ref_34","first-page":"427","article-title":"Online Learner Self-Regulation: Learning Presence Viewed through Quantitative Content- and Social Network Analysis","volume":"14","author":"Shea","year":"2013","journal-title":"Int. Rev. Res. Open Distrib. Learn."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1162\/ijlm.2009.0013","article-title":"Epistemic Network Analysis: A Prototype for 21st-Century Assessment of Learning","volume":"1","author":"Shaffer","year":"2009","journal-title":"Int. J. Learn. Media"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1007\/s10956-024-10193-x","article-title":"Finding the Connections: A Scoping Review of Epistemic Network Analysis in Science Education","volume":"34","author":"Reid","year":"2025","journal-title":"J. Sci. Educ. Technol."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"104703","DOI":"10.1016\/j.compedu.2022.104703","article-title":"What Matters in AI-supported Learning: A Study of Human-AI Interactions in Language Learning Using Cluster Analysis and Epistemic Network Analysis","volume":"194","author":"Wang","year":"2023","journal-title":"Comput. Educ."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"81","DOI":"10.14742\/ajet.6749","article-title":"Sentiment Evolution with Interaction Levels in Blended Learning Environments: Using Learning Analytics and Epistemic Network Analysis","volume":"37","author":"Huang","year":"2021","journal-title":"Australas. J. Educ. Technol."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Yan, X., Fan, Y., Di, Z., Havlin, S., and Wu, J. (2013). Efficient Learning Strategy of Chinese Characters Based on Network Approach. PLoS ONE, 8.","DOI":"10.1371\/journal.pone.0069745"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.gloenvcha.2014.04.019","article-title":"Learning Effects of Interactive Decision-Making Processes for Climate Change Adaptation","volume":"27","author":"Baird","year":"2014","journal-title":"Glob. Environ.-Chang.-Hum. Policy Dimens."},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Siew, C.S.Q. (2020). Applications of Network Science to Education Research: Quantifying Knowledge and the Development of Expertise through Network Analysis. Educ. Sci., 10.","DOI":"10.3390\/educsci10040101"},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Luchini, S.A., Wang, S., Kenett, Y.N., and Beaty, R.E. (2024). Mapping the Memory Structure of High-Knowledge Students: A Longitudinal Semantic Network Analysis. J. Intell., 12.","DOI":"10.3390\/jintelligence12060056"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"11401","DOI":"10.1007\/s10639-023-11633-8","article-title":"Investigating Online Learners\u2019 Knowledge Structure Patterns by Concept Maps: A Clustering Analysis Approach","volume":"28","author":"He","year":"2023","journal-title":"Educ. Inf. Technol."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"5424","DOI":"10.1080\/10494820.2021.2007137","article-title":"What Participation Types of Learners Are There in Connectivist Learning: An Analysis of a cMOOC from the Dual Perspectives of Social Network and Concept Network Characteristics","volume":"31","author":"Xu","year":"2023","journal-title":"Interact. Learn. Environ."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"105077","DOI":"10.1016\/j.compedu.2024.105077","article-title":"Mathematics Teachers\u2019 Interaction Patterns and Role Changes in Online Research-Practice Partnerships: A Social Network Analysis","volume":"218","author":"Liang","year":"2024","journal-title":"Comput. Educ."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1186\/s41239-021-00303-9","article-title":"Patterns of Student Collaborative Learning in Blended Course Designs Based on Their Learning Orientations: A Student Approaches to Learning Perspective","volume":"18","author":"Han","year":"2021","journal-title":"Int. J. Educ. Technol. High. Educ."},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Sher, N., Kent, C., and Rafaeli, S. (2020). How \u2019networked\u2019 Are Online Collaborative Concept-Maps? Introducing Metrics for Quantifying and Comparing the \u2019Networkedness\u2019 of Collaboratively Constructed Content. Educ. Sci., 10.","DOI":"10.3390\/educsci10100267"},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Kapuza, A. (2020). How Concept Maps with and without a List of Concepts Differ: The Case of Statistics. Educ. Sci., 10.","DOI":"10.3390\/educsci10040091"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"662","DOI":"10.1002\/acp.3484","article-title":"Using Network Science to Analyze Concept Maps of Psychology Undergraduates","volume":"33","author":"Siew","year":"2019","journal-title":"Appl. Cogn. Psychol."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/s41109-024-00637-z","article-title":"Comparative Analysis of Course Prerequisite Networks for Five Midwestern Public Institutions","volume":"9","author":"Yang","year":"2024","journal-title":"Appl. Netw. Sci."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s41109-023-00543-w","article-title":"Course-Prerequisite Networks for Analyzing and Understanding Academic Curricula","volume":"8","author":"Stavrinides","year":"2023","journal-title":"Appl. Netw. Sci."},{"key":"ref_52","doi-asserted-by":"crossref","unstructured":"Archer, E., Schmutz, A.M.S., Volschenk, M., and Jacobs, C. (2024). How the Mapping of Threshold Concepts across a Master\u2019s Programme in Health Professions Education Could Support the Development of Mastersness. BMC Med. Educ., 24.","DOI":"10.1186\/s12909-024-05500-4"},{"key":"ref_53","doi-asserted-by":"crossref","unstructured":"Tillmanns, T., Salom\u00e3o Filho, A., Rudra, S., Weber, P., Dawitz, J., Wiersma, E., Dudenaite, D., and Reynolds, S. (2025). Mapping Tomorrow\u2019s Teaching and Learning Spaces: A Systematic Review on GenAI in Higher Education. Trends High. Educ., 4.","DOI":"10.3390\/higheredu4010002"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1186\/s41039-020-0122-3","article-title":"Threshold Concepts: Designing a Format for the Flipped Classroom as an Active Learning Technique for Crossing the Threshold","volume":"15","author":"Olaniyi","year":"2020","journal-title":"Res. Pract. Technol. Enhanc. Learn."},{"key":"ref_55","unstructured":"Morrissey, A.M., Rouse, E., Doig, B., Chao, E., and Moss, J. (2014). Early Years Education in the Primary Years Programme (PYP): Implementation Strategies and Programme Outcomes, Deakin University. Final Report."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"2429363","DOI":"10.1080\/2331186X.2024.2429363","article-title":"Critical Analysis of the International Baccalaureate Primary Years Programme Curriculum Development: Mapping the Journey of International Baccalaureate Education","volume":"11","author":"Zeng","year":"2024","journal-title":"Cogent Educ."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1177\/01614681201411604001","article-title":"The Academic Impact of Enrollment in International Baccalaureate Diploma Programs: A Case Study of Chicago Public Schools","volume":"116","author":"Saavedra","year":"2014","journal-title":"Teach. Coll. Rec. Voice Scholarsh. Educ."},{"key":"ref_58","first-page":"240","article-title":"Impacts of International Baccalaureate Programmes on Teaching and Learning: A Review of the Literature","volume":"17","author":"Dickson","year":"2018","journal-title":"J. Res. Int. Educ."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1080\/00220272.2021.1902569","article-title":"Principles for the Design of a Fully-Resourced, Coherent, Research-Informed School Mathematics Curriculum","volume":"53","author":"Foster","year":"2021","journal-title":"J. Curric. Stud."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"e03432-20","DOI":"10.1128\/mBio.03432-20","article-title":"Tiny Earth: A Big Idea for STEM Education and Antibiotic Discovery","volume":"12","author":"Hurley","year":"2021","journal-title":"mBio"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.1002\/tea.21239","article-title":"Grappling with Long-term Learning in Science: A Qualitative Study of Teachers\u2019 Views of Developmentally Oriented Instruction","volume":"52","author":"Shemwell","year":"2015","journal-title":"J. Res. Sci. Teach."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"768","DOI":"10.1002\/tea.20355","article-title":"Building a Learning Progression for Celestial Motion: Elementary Levels from an Earth-Based Perspective","volume":"47","author":"Plummer","year":"2010","journal-title":"J. Res. Sci. Teach."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1002\/tea.20312","article-title":"A Learning Progression for Deepening Students\u2019 Understandings of Modern Genetics across the 5th\u201310th Grades","volume":"46","author":"Duncan","year":"2009","journal-title":"J. Res. Sci. Teach."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1002\/tea.21511","article-title":"Crosscutting Concepts and Achievement: Is a Sense of Size and Scale Related to Achievement in Science and Mathematics?","volume":"56","author":"Chesnutt","year":"2019","journal-title":"J. Res. Sci. Teach."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1007\/s10956-023-10040-5","article-title":"Integrative Analysis Using Big Ideas: Energy Transfer and Cellular Respiration","volume":"32","author":"Shemwell","year":"2023","journal-title":"J. Sci. Educ. Technol."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1007\/s10956-018-9752-2","article-title":"Squishing Circuits: Circuitry Learning with Electronics and Playdough in Early Childhood","volume":"28","author":"Peppler","year":"2019","journal-title":"J. Sci. Educ. Technol."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"ar35","DOI":"10.1187\/cbe.21-10-0301","article-title":"\u201cBig Ideas\u201d of Introductory Chemistry and Biology Courses and the Connections between Them","volume":"21","author":"Pardinas","year":"2022","journal-title":"CBE\u2014Life Sci. Educ."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"102189","DOI":"10.1016\/j.ijer.2023.102189","article-title":"\u201cWhat\u2019s the Big Idea?\u201d: A Qualitative Analysis of the Big Ideas of Primary Science Teachers","volume":"119","author":"Deehan","year":"2023","journal-title":"Int. J. Educ. Res."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"1801","DOI":"10.1002\/tesq.3314","article-title":"Unleashing the Potential of Big Ideas in Language Education: What and How?","volume":"58","author":"Yuan","year":"2024","journal-title":"TESOL Q."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"010135","DOI":"10.1103\/PhysRevPhysEducRes.20.010135","article-title":"Examining the Mismatch between the Intended Astronomy Curriculum Content, Astronomical Literacy, and the Astronomical Universe","volume":"20","author":"Salimpour","year":"2024","journal-title":"Phys. Rev. Phys. Educ. Res."},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"39","DOI":"10.5951\/jresematheduc.46.1.0039","article-title":"The Development of Children\u2019s Algebraic Thinking: The Impact of a Comprehensive Early Algebra Intervention in Third Grade","volume":"46","author":"Blanton","year":"2015","journal-title":"J. Res. Math. Educ."},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1039\/C1RP90042K","article-title":"What Lies at the Heart of Good Undergraduate Teaching? A Case Study in Organic Chemistry","volume":"12","author":"Davidowitz","year":"2011","journal-title":"Chem. Educ. Res. Pract."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1007\/s11423-013-9293-6","article-title":"Using Centrality of Concept Maps as a Measure of Problem Space States in Computer-Supported Collaborative Problem Solving","volume":"61","author":"Clariana","year":"2013","journal-title":"Educ. Technol. Res. Dev."},{"key":"ref_74","unstructured":"Wu, J. (2023). Primary-School Mathematics Done Right, Zhejiang People\u2019s Publishing House."},{"key":"ref_75","first-page":"5","article-title":"Big Ideas in Primary Mathematics: Issues and Directions","volume":"31","author":"Askew","year":"2013","journal-title":"Perspect. Educ."},{"key":"ref_76","first-page":"1","article-title":"Big Ideas of Mathematics: A Construct in Need of a Teacher-, Student-, and Family-Friendly Framework","volume":"28","author":"Courtney","year":"2024","journal-title":"Electron. J. Res. Sci. Math. Educ."},{"key":"ref_77","unstructured":"Rogers, B. (2018). Big Ideas in Physics and How to Teach Them: Teaching Physics 11\u201318, Routledge."},{"key":"ref_78","unstructured":"Harlen, W., and Bell, D. (2010). Principles and Big Ideas of Science Education, Association for Science Education."},{"key":"ref_79","unstructured":"Tout, D., Spithill, J., Trevitt, J., Knight, P., and Meiers, M. (2015). Big Ideas in Mathematics Teaching, Australian Council for Educational Research (ACER). Available online: https:\/\/research.acer.edu.au\/digest\/11\/."},{"key":"ref_80","doi-asserted-by":"crossref","first-page":"35","DOI":"10.2307\/3033543","article-title":"A Set of Measures of Centrality Based on Betweenness","volume":"40","author":"Freeman","year":"1977","journal-title":"Sociometry"},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1121\/1.1906679","article-title":"Communication Patterns in Task-Oriented Groups","volume":"22","author":"Bavelas","year":"1950","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1038\/30918","article-title":"Collective Dynamics of \u2018Small-World\u2019 Networks","volume":"393","author":"Watts","year":"1998","journal-title":"Nature"},{"key":"ref_83","unstructured":"Page, L., Brin, S., Motwani, R., and Winograd, T. (1999). The PageRank Citation Ranking: Bringing Order to the Web, Stanford Infolab. Technical Report."},{"key":"ref_84","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","article-title":"Differential Evolution\u2014A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces","volume":"11","author":"Storn","year":"1997","journal-title":"J. Glob. Optim."},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1126\/science.220.4598.671","article-title":"Optimization by Simulated Annealing","volume":"220","author":"Kirkpatrick","year":"1983","journal-title":"Science"},{"key":"ref_86","doi-asserted-by":"crossref","unstructured":"Holland, J.H. (1992). Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence, MIT Press.","DOI":"10.7551\/mitpress\/1090.001.0001"},{"key":"ref_87","doi-asserted-by":"crossref","first-page":"1942","DOI":"10.1109\/ICNN.1995.488968","article-title":"Particle Swarm Optimization","volume":"Volume 4","author":"Kennedy","year":"1995","journal-title":"Proceedings of the ICNN\u201995-International Conference on Neural Networks"}],"container-title":["Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-8954\/13\/12\/1090\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,3]],"date-time":"2025-12-03T11:04:33Z","timestamp":1764759873000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-8954\/13\/12\/1090"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,3]]},"references-count":87,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2025,12]]}},"alternative-id":["systems13121090"],"URL":"https:\/\/doi.org\/10.3390\/systems13121090","relation":{},"ISSN":["2079-8954"],"issn-type":[{"value":"2079-8954","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,3]]}}}