Investigating Children’s Informal Knowledge and Strategies: The Case of Fraction Division

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참고문헌 (36)

1. Baroody, A. J., "Fostering children's mathematical power : An investigative approach to K-8 mathematics instruction" (1998), Lawrence Erlbaum Associates
2. Borko, H., "Learning to teach hard mathematics : Do novice teachers and their instructors give up too easily", Journal for Research in Mathematics Education, 23, pp.194~222 (1992)
3. Bulgar, S., "Children’s sense-making of division of fractions", The Journal of Mathematical Behavior, 22(3), pp.319~334 (2003)
4. Carpenter, T. P., "Children’s mathematics: Cognitively guided instruction" (2015), Heinemann
5. Corbin, J., "Basics of qualitative research" (2008), Sage
6. Empson, S. B., "Equal sharing and shared meaning : The development of fraction first-grade classroom", Cognition and Instruction, 17(3), pp.283~342 (1999)
7. Empson, S. B., "Fractions as the coordination of multiplicatively related quantities : A cross-sectional study of children’s thinking", Educational Studies in Mathematics, 63, pp.1~28 (2005)
8. Empson, S. B., "Innovations in Cognitively Guided Instruction" (2011), Heinemann
9. Flores, A., "Making sense of fractions, ratios, and proportions, 2002 NCTM Yearbook", pp.247~256 (2002), National Council of Teachers of Mathematics
10. Ginsburg, H. P., "Children's arithmetic : The learning process" (1977), Van Nostrand
11. Ginsburg, H. P., "Entering the child's mind: The clinical interview in psychological research and practice" (1997), Cambridge University Press
12. Hatano, G., "Theories of mathematical learning", pp.197~217 (1996), Lawrence Erlbaum Associates
13. Kent, A. B., "The richness of children's fraction strategies", Teaching children mathematics, 22(2), pp.84~90 (2015)
14. Leinhardt, G., "Getting to know : Tracing students' mathematical knowledge from intuition to competence", Educational Psychologist, 23(2), pp.119~144 (1988)
15. Ma, L., "Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States" (1999), Lawrence Erlbaum Associates
16. Mack, N. K., "Learning fractions with understanding : Building on informal knowledge", Journal for Research in Mathematics Education, 26, pp.422~441 (1990)
17. Mack, N. K., "Building on informal knowledge through instruction in a complex content domain : Partitioning, units, and understanding multiplication of fractions", Journal for Research in Mathematics Education, 32(3), pp.267~295 (2001)
18. Merriam, S. B., "Qualitative research: A guide to design and implementation" (2016), JosseyBass
19. National Council of Teachers of Mathematics, "Principles to actions: Ensuring mathematics success for all" (2014), The Author
20. Pirie, S., "Growth in mathematical understanding: How can we characterize it and how can we represent it?", Educational Studies in Mathematics, 26(2, pp.3) (1994), 165~190
21. Pothier, Y., "Partitioning : The emergence of rational number ideas in young children", Journal for Research in Mathematics Education, 14(5), pp.307~303 (1983)
22. Resnick, L. B., "Developing mathematical knowledge", American Psychologist, 44, pp.162~169 (1989)
23. Resnick, L. B., "Analyses of arithmetic for mathematics teaching", pp.373~429 (1992), Erlbaum
24. Saldaña, J., "The coding manual for qualitative researchers" (2009), Sage
25. Saxe, G. B., "Candy selling and math learning", Educational Researcher, 17(6), pp.14~21 (1988)
26. Sharp, J., "Children’s constructions of knowledge for fraction division after solving realistic problems", Journal of Educational Research, 95, pp.333~348 (2002)
27. Siebert, D., "Making sense of fractions, ratios, and proportions, 2002 NCTM Yearbook", pp.247~256 (2002), National Council of Teachers of Mathematics
28. Sinicrope, R., "Making sense of fractions, ratios, and proportions, 2002 NCTM Yearbook", pp.247~256 (2002), National Council of Teachers of Mathematics
29. Steffe, L. P., "The development of multiplicative reasoning in the learning of mathematics", pp.3~40 (1994), State University of New York Press
30. Steffe, L. P., "Fractional commensurate, composition, and adding schemes learning trajectories of Jason and Laura : Grade 5", Journal of Mathematical Behavior, 22(3), pp.237~295 (2003)
31. Streefland, L., "Fractions in realistic mathematics education : A paradigm of developmental research" (1991), Kluwer Academic Publishers
32. Streefland, L., "Rational numbers: An integration of research", pp.289~325 (1993), Erlbaum
33. Van de Walle, J. A., "Elementary and middle school mathematics: Teaching developmentally" (2004), Allyn & Bacon
34. Von Glasersfeld E., "The construction of knowledge : Contributions to conceptual semantics" (1987), Intersystems Publications
35. Warrington, M. A., "How children think about division with fractions", Mathematics Teaching in the Middle School, 2(6), pp.390~394 (1997)
36. Yin, R. K., "Case study research : Design and methods" (2014), Sage

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