본문 바로가기
KERD
논문KCI 등재

Reflection on the Educator Mindset for Teaching Mathematics to Diverse Students in the Constructivist Elementary Classroom

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

초록

In this perspective paper, we present seven elements of the appropriate educator mindset for teaching in the constructivist elementary mathematics classroom. The elements include supporting students as they construct their own understanding, eliminating deficit view of slow learners, setting new understanding and growth as the learning objective, providing opportunities to co construct meaning with peers, using student contributions as the source of curricul ar material, encouraging all students to participate in learning, and providing instruction not bounded by time. In our struggles to provide authentic, inclusive elementary classrooms, we hope that our discussion of the educator mindset can increase discou rse on constructivism from philosophy to practice in the community of mathematics education and policy makers.

Abstract

In this perspective paper, we present seven elements of the appropriate educator mindset for teaching in the constructivist elementary mathematics classroom. The elements include supporting students as they construct their own understanding, eliminating deficit view of slow learners, setting new understanding and growth as the learning objective, providing opportunities to co construct meaning with peers, using student contributions as the source of curricul ar material, encouraging all students to participate in learning, and providing instruction not bounded by time. In our struggles to provide authentic, inclusive elementary classrooms, we hope that our discussion of the educator mindset can increase discou rse on constructivism from philosophy to practice in the community of mathematics education and policy makers.

참고문헌 (36)

  1. Atwood, S., "The construction of knowledge in classroom talk", Journal of the Learning Sciences, 19(3), pp.358~402 (2010)[DOI]
  2. Boaler, J., "Open and closed mathematics : Student experiences and understandings", Journal for Research in Mathematics Education, 29, pp.41~62 (1998)
  3. Boaler, J., "What’s math got to do with it? How teachers and parents can transform mathematics learning and teaching" (2015), Penguin Books
  4. Bramall, S., "Why learn maths?" (2000), Institute of Education
  5. Bulgar, S., "Children’s sense-making of division of fractions", Journal of Mathematical Behavior, 22(3), pp.319~334 (2003)
  6. Cha, S., "The influence of learner-centered instruction on students’reasoning ability and achievement"
  7. Chapin, S., "Classroom discussions in math: Using math talk to help students learn" (2013), Math Solutions Publications
  8. Charalambous, C. Y., "Handbook of international research in mathematics education", pp.19~59 (2016), Rouledge
  9. 조수윤, "구성주의 수학 수업이 추론 능력에 미치는 영향 - 초등학교 3학년 나눗셈을 중심으로 -", 초등수학교육, 14(2), pp.165~185 (2011), 한국수학교육학회
  10. Cobb, P., "Radical constructivism in mathematics education", pp.157~176 (1991), Kluwer Academic Publishers
  11. Confrey, J., "A theory of intellectual development", For the Learning of Mathematics, 14(3), pp.2~8 (1994)
  12. Council of Chief State School Officers & National Governors’ Association, "Common core state standards for mathematics", Council of Chief State School Officers & National Governors’ Association, ~ (2010)
  13. Eljamal, M. B., "Intellectual development : A complex teaching goal", Studies in Higher Education, 24(1), pp.7~25 (1999)[DOI]
  14. Empson, S. B., "Extending children’s mathematics: Fractions and decimals" (2011), Heinemann
  15. Haverly, C., "“Making space”: How novice teachers create opportunities for equitable sense-making in elementary science", Journal of Teacher Education, pp.1~17 (2018)[DOI]
  16. Henningsen, M., "Mathematical tasks and student cognition: Classroombased factors that support and inhibit high-level mathematical thinking and reasoning", Journal for Research in Mathematics Education, 28(5), pp.524~549 (1997)
  17. Helgevold, N., "Teaching as creating space for participation – establishing a learning community in diverse classrooms", Teachers and Teaching, 22(3), pp.315~328 (2016)[DOI]
  18. Kamii, C., "Young children continue to reinvent arithmetic" (1994), Teachers College Press
  19. Kim, J., "Establishing classroom culture supporting harmonious communication in mathematics instruction", Education of Primary School Mathematics, 12(2), pp.99~115 (2009)
  20. Kim, J., "Instructional materials for learner-centered mathematics instruction", Research in Science and Mathematics Education, 37, pp.169~185 (2014)
  21. Kim, J., "Mathematics instructions using open-ended tasks for first graders", Journal of Science and Mathematics Education Research, 39, pp.99~124 (2016)
  22. Kim, J., "Mathematics classrooms where students are happy: A first grade classroom" (2018), Kyoyookbook
  23. Latterell, C., "Math wars: A guide for parents and teachers" (2004), Praeger Publishers
  24. Lesh, R., "Handbook of research design in mathematics and science education", pp.591~646 (2000), Lawrence Erlbaum Associates
  25. Lovell, K. R., "Intellectual growth and understanding mathematics : Implications for teaching", Arithmetic Teacher, 19(4), pp.277~282 (1972)
  26. Maher, C. A., "A comparison of fourth and sixth grade students’ reasoning in solving strands of open-ended tasks", Proceedings of the 33rd conference of the International Group for the Psychology of Mathematics Education, 1, pp.73~80 (2009), PME
  27. Melton, R. F., "Individualized learning methods in perspective", Higher Education, 10(4), pp.403~423 (1981)
  28. Mercer, C., "Learning disabilities definitions and criteria used by state education departments", Learning Disabilities Quarterly, 19, pp.217~232 (1996)
  29. National Council of Teachers of Mathematics, "Curriculum and evaluation standards for school mathematics", National Council of Teachers of Mathematics, ~ (1989)
  30. National Council of Teachers of Mathematics, "Principles and standards for school mathematics", National Council of Teachers of Mathematics, ~ (2000)
  31. Polya, G., "How to solve it" (1957), Princeton University Press
  32. Ronfeilt, S., "Third grade math: A month to month guide" (2003), Math Solutions Publications
  33. Skemp, R. R., "The psychology of learning mathematics" (1987), Lawrence Erlbaum Associates, Inc
  34. Steencken, E. P., "Tracing fourth graders’ learning of fractions : Early episodes from a year-long teaching experiment", Journal of Mathematical Behavior, 22(2), pp.113~132 (2003)
  35. Wu, H., "The role of open-ended problems in mathematics education", Journal of Mathematical Behavior, 13, pp.115~128 (1994)
  36. Yackel, E., "Sociomathematical norms, argumentation, and autonomy in mathematics", Journal for Research in Mathematics Education, 27, pp.458~477 (1996)

관련 논문AI추천

이 간행물의 다른 논문 (2건)