Are we having fun yet? How teachers use manipulatives to teach mathematics

Educational Studies in Mathematics

Volumn 47, Issue 2, 2001, Pages 175-197

  Moyer, Patricia S ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3543023000     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/A:1014596316942     Document Type: Article

References (54)

1. Ball, D.L.: 1990, 'The mathematical understandings that preservice teachers bring to teacher education', Elementary School Journal 90, 449-466.
2. Ball, D.L.: 1992, 'Magical hopes: Manipulatives and the reform of math education', American Educator 16(2), 14-18, 46-47.
3. Baroody, A.J.: 1989, 'Manipulatives don't come with guarantees', Arithmetic Teacher 37(2), 4-5.
4. Boulton-Lewis: 1998, 'Children's strategy use and interpretations of mathematical representations', Journal of Mathematical Behavior 17(2), 219-237.
5. Bruner, J.S.: 1960, The Process of Education, Harvard University Press, Cambridge, MA.
6. Bruner, J.S.: 1986, Actual Minds, Possible Worlds, Harvard University Press, Cambridge, MA.
7. Clements, D.H.: 1999, ' "Concrete" manipulatives, concrete ideas', Contemporary Issues in Early Childhood 1(1), 45-60.
8. Cobb, P.: 1995, 'Cultural tools and mathematical learning: A case study', Journal for Research in Mathematics Education 26(4), 362-385.
9. Dienes, Z.P.: 1969, Building Up Mathematics, Hutchison Education, London.
10. Driscoll, M.J.: 1983, Research Within Reach: Elementary School Mathematics and Reading, CEMREL, Inc., St. Louis.
11. Elbow, P.: 1986, Embracing Contraries: Explorations in Learning and Teaching, Oxford University Press, New York.
12. Gilbert, R.K. and Bush, W.S.: 1988, 'Familiarity, availability and use of manipulative devices in mathematics at the primary level', School Science and Mathematics 88(6), 459-469.
13. Glover, J.A., Ronning, R.R. and Bruning, R.H.: 1990, Cognitive Psychology for Teachers, Macmillan, New York.
14. Goldin, G. and Shteingold, N.: 2001, 'Systems of representations and the development of mathematical concepts', in A.A. Cuoco and F.R. Curcio (eds.), The roles of Representation in School Mathematics, NCTM, Reston, VA, pp. 1-23.
15. Grant, S.G., Peterson, P.L. and Shogreen-Downer, A.: 1996, 'Learning to teach mathematics in the context of system reform', American Educational Research Journal 33(2), 509-541.
16. Greabell, L.C.: 1978, 'The effect of stimuli input on the acquisition of introductory geometry concepts by elementary school children', School Science and Mathematics 78, 320-326.
17. Hiebert, J. and Wearne, D.: 1992, 'Links between teaching and learning place value with understanding in first grade', Journal for Research in Mathematics Education 23, 98-122.
18. Kamii, C., Kirkland, L. and Lewis, B.A.: 2001, 'Representation and abstraction in young children's numerical reasoning', in A.A. Cuoco and F.R. Curcio (eds.), The Roles of Representation in School Mathematics, NCTM, Reston, VA, pp. 24-34.
19. Kamii, C. and Warrington, M.A.: 1999, 'Teaching fractions: Fostering children's own reasoning', in L.V. Stiff and F.R. Curcio (eds.), Developing mathematical reasoning grades K-12: 1999 Yearbook, NCTM, Reston, VA, pp. 82-92.
20. Khoury, H.A. and Zazkis, R.: 1994, 'On fractions and non-standard representations: Preservice teachers' conceptions', Educational Studies in Mathematics 27(2), 191-204.
21. LeCompte, M.D., Preissle, J. and Tesch, R.: 1993, Ethnography and Qualitative Design in Educational Research, 2nd ed., Academic Press, San Diego, CA.
22. Ma, L.: 1999, Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States, Erlbaum, Mahwah, NJ.
23. Meira, L.: 1998, 'Making sense of instructional devices: The emergence of transparency in mathematical activity', Journal for Research in Mathematics Education 29(2), 121-142.
24. Moyer, P.S.: 1998, 'Using mathematics manipulatives: Control- versus autonomy-oriented middle grades teachers (Doctoral dissertation, The University of North Carolina at Chapel Hill, 1998), Dissertation Abstracts International, 59-07A, 2406.
25. Orton, R.E.: 1988, Using Representations to Conceptualize Teachers' Knowledge, Paper presented at the Psychology of Mathematics Education-North America, DeKalb, IL.
26. Parham, J.L.: 1983, 'A meta-analysis of the use of manipulative materials and student achievement in elementary school mathematics', Dissertation Abstracts International 44A, 96.
27. Patton, M.Q. : 1990, Qualitative Evaluation and Research Methods, SAGE, Newbury Park, CA.
28. Piaget, J.: 1951, Play, Dreams and Imitation in Childhood, Reprint, W.W. Norton and Co., New York.
29. Piaget, J.: 1952, The Child's Conception of Number, Humanities Press, New York.
30. Piaget, J., Inhelder, B. and Szeminska, A.: 1960, The Child's Conception of Geometry, Routledge and Kegan Paul, London. (Original work published 1948). 1948/1960.
31. Prigge, G.R.: 1978, 'The differential effects of the use of manipulative aids on the learning of geometric concepts by elementary school children', Journal for Research in Mathematics Education 9(5), 361-367.
32. Raphael, D. and Wahlstrom, M.: 1989, 'The influence of instructional aids on mathematics achievement', Journal for Research in Mathematics Education 20(2), 173-190.
33. Resnick, L.B.: 1983, 'Mathematics and science learning: A new conception', Science 220, 477-478.
34. Scott, P.B.: 1983, A survey of perceived use of mathematics materials by elementary teachers in a large urban school district', School Science and Mathematics 83(1), 61-68.
35. Simon, M.A.: 1995, 'Reconstructing mathematics pedagogy from a constructivist perspective', Journal for Research in Mathematics Education 26(2), 114-145.
36. Skemp, R.R.: 1987, The Psychology of Learning Mathematics, Erlbaum, Hillsdale, NJ.
37. Smith, J.P.: 1996, 'Efficacy and teaching mathematics by telling: A challenge for reform', Journal for Research in Mathematics Education 27(4), 387-402.
38. Sowell, E.J.: 1989, 'Effects of manipulative materials in mathematics instruction', Journal for Research in Mathematics Education 20(5), 498-505.
39. Stigler, J.W. and Baranes, R.: 1988, 'Culture and mathematics learning', in E.Z. Rothkopf (ed.), Review of Research in Education, American Educational Research Association, Washington, D.C., pp. 253-306.
40. Stigler, J.W. and Hiebert, J.: 1999, The Teaching Gap, The Free Press, New York. Strauss,
41. A.: 1987, Qualitative Analysis for Social Scientists, Cambridge University Press, New York.
42. Suydam, M.N.: 1985, Research on Instructional Materials for Mathematics, ERIC Clearinghouse for Science, Mathematics and Environmental Education, Columbus, OH. (ERIC Document Reproduction Service No. 276 569).
43. Suydam, M.N.: 1986, 'Manipulative materials and achievement', Arithmetic Teacher 33(6), 10, 32.
44. Suydam, M.N. and Higgins, J.L.: 1977, Activity-Based Learning in Elementary School Mathematics: Recommendations from Research, ERIC Center for Science, Mathematics and Environmental Education, College of Education, Ohio State University, Columbus, OH.
45. Thompson, A.G.: 1985, 'Teachers' conceptions of mathematics and the teaching of problem solving', in E.A. Silver (ed.), Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives, Erlbaum, Hillsdale, NJ.
46. Thompson, P.W.: 1992, 'Notations, conventions and constraints: Contributions to effective uses of concrete materials in elementary mathematics', Journal for Research in Mathematics Education 23(2), 123-147.
47. Thompson, P.W. and Thompson, A.G.: 1990, Salient Aspects of Experience with Concrete Manipulatives, International Group for the Psychology of Mathematics Education, Mexico City.
48. Threadgill-Sowder, J.A. and Juilfs, P.A.: 1980, 'Manipulatives versus symbolic approaches to teaching logical connectives in junior high school: An aptitude x treatment interaction study', Journal for Research in Mathematics Education 11(5), 367-374.
49. Tirosh, D.: 2000, 'Enhancing prospective teachers' knowledge of children's conceptions: The case of division of fractions ', Journal for Research in Mathematics Education 31(1), 5-25.
50. von Glasersfeld, E.: 1990, 'An exposition of constructivism: Why some like it radical', in R.B. Davis, CA. Maher and N. Noddings (eds.), Constructivist Views on the Teaching and Learning of Mathematics, National Council of Teachers of Mathematics, Reston, VA, pp. 19-29.
51. von Glasersfeld, E.: 1995, 'A constructivist approach to teaching', in L.P. Steffe and J. Gale (eds.), Constructivism in Education, Erlbaum, Hillsdale, NJ, pp. 3-15.
52. Vygotsky, L.S.: 1978, Mind in Society: The Development of Higher Psychological Processes, Harvard University Press, Cambridge, MA.
53. Weiss, LR.: 1994, A Profile of Science and Mathematics Education in the United States: 1993, Horizon Research, Inc., Chapel Hill, NC
54. Winograd, T. and Flores, R: 1986, Understanding Computers and Cognition: A New Foundation for Design, Ablex, Norwood, NJ.