Equivalent fractions: Their difficulty and educational implications
Tài liệu tham khảo
Armstrong, 1995, Students' use of part-whole and direct comparison strategies for comparing partitioned rectangles, Journal for Research in Mathematics Education, 26, 2, 10.2307/749225
Behr, 1983, Rational number concepts
Carpenter, 1976, Notes from National Assessment: Addition and multiplication with fractions, Arithmetic Teacher, 23, 137, 10.5951/AT.23.2.0137
Carpenter, 1980, Results and implications of the second NAEP mathematics assessments: Elementary school, Arithmetic Teacher, 17, 10, 10.5951/AT.27.8.0010
Clark, Faye B., & Kamii, Constance (in press). Identification of multiplicative thinking in children in grades 1–5. Journal for Research in Mathematics Education.
Kamii, 1989
Kamii, 1994
Kouba, 1989, Number and operations, 64
Larson, 1980, Locating proper fractions on number lines: Effect of length and equivalence, School Science and Mathematics, 53, 423, 10.1111/j.1949-8594.1980.tb09687.x
Lindquist, 1983, Third national mathematics assessment: Results and implications for elementary and middle schools, Arithmetic Teacher, 31, 14, 10.5951/AT.31.4.0014
Mack, 1990, Learning fractions with understanding: Building on informal knowledge, Journal for Research in Mathematics Education, 21, 16, 10.2307/749454
National Council of Teachers of Mathematics, 1989
Olive, 1993, Children's construction of fractional schemes in computer microworlds, Part II: Constructing multiplicative operations with fractions
Parrat-Dayan, 1980
Parrat-Dayan, 1992, Conservation and the notion of “half”
Piaget, 1965
Piaget, 1970
Piaget, 1976, Ecrits sociologiques, Revue Européenne des Sciences Sociales, 14, 44
Piaget, 1977, The role of action in the development of thinking, 17
Piaget, 1987
Piaget, 1995
Piaget, 1960
Post, 1981, Fractions: Results and implications from National Assessment, Arithmetic Teacher, 28, 26, 10.5951/AT.28.9.0026
Steffe, 1992, Schemes of action and operation involving composite units, Learning and Individual Differences, 4, 259, 10.1016/1041-6080(92)90005-Y
Streefland, 1991
Streefland, 1993, Fractions: A realistic approach