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Braithwaite, David W.; Tian, Jing; Siegler, Robert S. – Developmental Science, 2018
Many children fail to master fraction arithmetic even after years of instruction. A recent theory of fraction arithmetic (Braithwaite, Pyke, & Siegler, 2017) hypothesized that this poor learning of fraction arithmetic procedures reflects poor conceptual understanding of them. To test this hypothesis, we performed three experiments examining…
Descriptors: Fractions, Addition, Arithmetic, Hypothesis Testing
Braithwaite, David W.; Tian, Jing; Siegler, Robert S. – Grantee Submission, 2018
Many children fail to master fraction arithmetic even after years of instruction. A recent theory of fraction arithmetic (Braithwaite, Pyke, & Siegler, in press) hypothesized that this poor learning of fraction arithmetic procedures reflects poor conceptual understanding of them. To test this hypothesis, we performed three experiments…
Descriptors: Fractions, Addition, Arithmetic, Mathematics

Joslyn, Ruth E. – Arithmetic Teacher, 1990
Described is an activity where base-10 blocks are used to develop students' skills in reading, writing, and visualizing large numbers. An activity sheet that helps students with decimal points is included. (KR)
Descriptors: Cognitive Development, Cognitive Processes, Decimal Fractions, Elementary Education

Connel, Michael L.; Peck, Donald M. – Journal of Mathematical Behavior, 1993
Reports results from a project designed to bring about student conceptual change by using multiple modeling and representation as well as links to other areas. Students developed rules as conveniences and meanings for symbols, were active in learning, made interpretations, and had confidence in their thinking. (MKR)
Descriptors: Cognitive Development, Cognitive Structures, Cognitive Style, Elementary Education