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van Galen, Mirte S.; Reitsma, Pieter – Cognition and Instruction, 2011
Predictions of the Identical Elements (IE) model of arithmetic fact representation (Rickard, 2005; Rickard & Bourne, 1996) about transfer between arithmetic facts were tested in primary school children. The aim of the study was to test whether the IE model, constructed to explain adult performance, also applies to children. The IE model…
Descriptors: Transfer of Training, Multiplication, Recall (Psychology), Arithmetic
Xin, Yan Ping; Liu, Jia; Zheng, Xiaoning – School Science and Mathematics, 2011
This study compared one lesson across four U.S. "traditional" textbook series, two U.S. reform-based textbook series, and one Chinese mathematics textbook series in teaching the connection between multiplication and division. The results showed the differences across U.S. and Chinese lessons in both the teaching and the practice parts of…
Descriptors: Textbooks, Problem Solving, Multiplication, Arithmetic

Nesher, Pearla; Hershkovitz, Sara – Educational Studies in Mathematics, 1994
Studied schemes involved in solving two-step arithmetic word problems in (n=1824) elementary schoolchildren in Israel. Compound schemes and combinations of operations were found to affect the difficulty level of the problems. Appendix includes two versions of the test instrument. (Contains 17 references.) (MKR)
Descriptors: Addition, Arithmetic, Division, Elementary Education