Mathematics Inquiring Based on Pattern Similarity

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참고문헌 (58)

1. Michèle Artigue, "Conceptualizing inquiry-based education in mathematics", ZDM - The International Journal on Mathematics Education, 45(6), pp.797~810 (2013), Springer Science and Business Media LLC[DOI]
2. Jean-Yves Beziau, "An analogical hexagon", International Journal of Approximate Reasoning, 94, pp.1~17 (2018), Elsevier BV[DOI]
3. Bransford, J. D., "The nature of mathematical thinking", pp.203~250 (1996), Lawrence Erlbaum Associates
4. Scott A. Chamberlin, "Model-Eliciting Activities as a Tool to Develop and Identify Creatively Gifted Mathematicians", Journal of Secondary Gifted Education, 17(1), pp.37~47 (2005), SAGE Publications[DOI]
5. Al Cuoco, "Habits of mind: An organizing principle for mathematics curricula", The Journal of Mathematical Behavior, 15(4), pp.375~402 (1996), Elsevier BV[DOI]
6. Davis, R.B., "Learning mathematics: The cognitive science approach to mathematics education" (1984), Croom Helm
7. Deng, D., "Mathematics and culture" (1990), Peking University Press
8. Department of Education and Science, "Mathematics from 5 to 16, curriculum matters" (1987), HMSO
9. Devlin, K., "Mathematics: The science of patterns" (2003), Owl Books
10. Helen M. Doerr, "A Modeling Perspective on Students' Mathematical Reasoning about Data", Journal for Research in Mathematics Education, 34(2), pp.110~ (2003), National Council of Teachers of Mathematics[DOI]
11. Dreyfus, T., "The nature of mathematical thinking", pp.253~284 (1996), Lawrence Erlbaum
12. Lyn D. English, "Mathematical Modeling in the Primary School: Children's Construction of a Consumer Guide", Educational Studies in Mathematics, 63(3), pp.303~323 (2006), Springer Science and Business Media LLC[DOI]
13. Ginsburg, H. P., "The nature of mathematical thinking", pp.175~282 (1996), Lawrence Erlbaum
14. Eduard Glas, "Klein’s model of mathematical creativity", Science and Education, 11(1), pp.95~104 (2002), Springer Science and Business Media LLC[DOI]
15. Koeno Gravemeijer, "How Emergent Models May Foster the Constitution of Formal Mathematics", Mathematical Thinking and Learning, 1(2), pp.155~177 (1999), Informa UK Limited[DOI]
16. Koeno Gravemeijer, "Local Instruction Theories as Means of Support for Teachers in Reform Mathematics Education", Mathematical Thinking and Learning, 6(2), pp.105~128 (2004), Informa UK Limited[DOI]
17. Gravemeijer, K., "Modelling and applications in mathematics education: The 14th ICMI study", pp.137~144 (2007), Springer
18. Gravemeijer, K., "Symbolizing, modeling and tool use in mathematics education", pp.145~170 (2002), Springer Science & Business
19. Hardy, G. H., "A mathematician’s apology" (1992), Cambridge University Press
20. Melanie Hargreaves, "Children's Strategies with Number Patterns", Educational Studies, 24(3), pp.315~331 (1998), Informa UK Limited[DOI]
21. Maria L. Hernández, "Mathematical Modeling in the High School Curriculum", The Mathematics Teacher, 110(5), pp.336~342 (2016), National Council of Teachers of Mathematics[DOI]
22. Highland, E. H., "The how and why wonder book of mathematics" (1961), Grosset & Dunlop
23. Kaiser, G., "Trends in teaching and learning of mathematical modelling" (2011), Springer
24. Kapur, J. N., "Thought on nature of mathematics" (1973), Atma Ram & Sons, Delhi
25. Lakatos, I., "Proofs and refutations: The logic of mathematical discovery" (1976), Cambridge University Press
26. Richard Lehrer, "Cultivating inquiry about space in a middle school mathematics classroom", ZDM-The International Journal on Mathematics Education, 45(3), pp.365~376 (2012), Springer Science and Business Media LLC[DOI]
27. Richard Lehrer, "Inventing Data Structures for Representational Purposes: Elementary Grade Students' Classification Models", Mathematical Thinking and Learning, 2(1-2), pp.51~74 (2000), Informa UK Limited[DOI]
28. Lesh, R., "Assessment of authentic performance in school mathematics", pp.17~62 (1992), American Association for the Advancement of Science
29. Lesh, R., "Handbook of research in mathematics and science education", pp.113~149 (2000), Lawrence Erlbaum and Associates
30. Lesh, R., "Beyond constructivism: Models and modeling perspectives on mathematics problem solving learning, and teaching" (2003), Lawrence Erlbaum Associates
31. Richard Lesh, "Problem Solving, Modeling, and Local Conceptual Development", Mathematical Thinking and Learning, 5(2-3), pp.157~189 (2003), Informa UK Limited[DOI]
32. Richard Lesh, "Models and Modeling Perspectives on the Development of Students and Teachers", Mathematical Thinking and Learning, 5(2-3), pp.109~129 (2003), Informa UK Limited[DOI]
33. Lesh, R., "New directions for research on mathematical problem solving", Proceedings of the 29th annual conference of the mathematics education research group, pp.15~34 (2006), MERGA
34. Katja Maaß, "Implementation of inquiry-based learning in day-to-day teaching: a synthesis", ZDM-The International Journal on Mathematics Education, 45(6), pp.779~795 (2013), Springer Science and Business Media LLC[DOI]
35. Mason, J., "Approaches to algebra", pp.65~86 (1996), Kluwer
36. Menezes, L., "Educational Paths to Mathematics", pp.305~321 (2015), Springer
37. Joanne Mulligan, "Awareness of pattern and structure in early mathematical development", Mathematics Education Research Journal, 21(2), pp.33~49 (2009), Springer Science and Business Media LLC[DOI]
38. "Principles and standards for school mathematics" (2000)[URL]
39. Pólya, G., "Mathematics and plausible reasoning (Volume 2): Patterns of plausible inference" (1954), Princeton University Press
40. Pólya, G., "Mathematical discovery on understanding, learning, and teaching pro blem solving (Volume 1)" (1962), John Wiley
41. Reys, R. E., "Helping children learn mathematics" (1984), Prentice-Hall
42. Richards, J., "Radical constructivism in mathematics education", pp.13~52 (1991), Kluwer
43. Sawyer, W.W., "Prelude to mathematics" (2005), Commonwealth Publishers
44. Serife Sevinc, "Toward a reconceptualization of model development from models-and-modeling perspective in mathematics education", Educational Studies in Mathematics, 109(3), pp.611~638 (2021), Springer Science and Business Media LLC[DOI]
45. Siegel, M., "Constructing mathematical knowledge: Epistemology and mathematical education", pp.201~215 (1994), Routledge
46. Florence Mihaela Singer, "Problem-posing research in mathematics education: new questions and directions", Educational Studies in Mathematics, 83(1), pp.1~7 (2013), Springer Science and Business Media LLC[DOI]
47. Skemp, R., "The psychology of learning mathematics" (1986), Penguin Books
48. Speer, N. M., "Knowledge needed by a teacher to provide analytic scaffolding during undergraduate mathematics classroom discussions", Journal for Research in Mathematics Education, 40(5), pp.530~562 (2009)[DOI]
49. Bharath Sriraman, "Mathematical Giftedness, Problem Solving, and the Ability to Formulate Generalizations: The Problem-Solving Experiences of Four Gifted Students", Journal of Secondary Gifted Education, 14(3), pp.151~165 (2003), SAGE Publications[DOI]
50. Sriraman, B., "Discovering a mathematical principle : The case of Matt", Mathematics in School, 33(2), pp.25~31 (2004)[DOI]
51. Bharath Sriraman, "The characteristics of mathematical creativity", ZDM-The International Journal on Mathematics Education, 41(1-2), pp.13~27 (2008), Springer Science and Business Media LLC[DOI]
52. Lynn Arthur Steen, "The Science of Patterns", Science, 240(4852), pp.611~616 (1988), American Association for the Advancement of Science (AAAS)[DOI]
53. Steinbring, H., "The construction of new mathematical knowledge in classroom interaction. An epistemological perspective" (2005), Springer
54. Van De Walle, "Elementary and middle School mathematics" (1998), Addison Wesley Longman
55. Rose Vogel, "Patterns—a fundamental idea of mathematical thinking and learning", Zentralblatt für Didaktik der Mathematik, 37(5), pp.445~449 (2005), Springer Science and Business Media LLC[DOI]
56. von Glaserfeld, E., "Radical constructivism in mathematics education", pp.13~20 (1991), Kluwer
57. Warren, E., "Young children's ability to generalise the pattern rule for growing patterns", Proceedings of the 29th conference of the International Group for the Psychology of Mathematics Education, 4, pp.305~312 (2005), Program Committee
58. Xu, L., "Philosophical basis of mathematical pattern", Philosophical Research, 25(2), pp.74~81 (1990)[DOI]

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