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Ding, Meixia; Li, Xiaobao – Cognition and Instruction, 2010
This study examines presentations of the distributive property (DP) in two widely used U.S. elementary text series and one main Chinese text series along three dimensions: problem contexts, typical problem types within each problem context, and variability in using the DP. In general, the two U.S. texts were found to resemble each other but to…
Descriptors: Comparative Analysis, Mathematics Education, Textbooks, Elementary School Mathematics
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Li, Xiaobao; Ding, Meixia; Capraro, Mary Margaret; Capraro, Robert M. – Cognition and Instruction, 2008
This study reports findings from comparative samples of sixth-grade Chinese and U.S. students' interpretations of the equal sign. Ninety-eight percent of the Chinese sample correctly answered 4 items indicating conceptions of equality and provided conceptually accurate explanations. In contrast, only 28% of the U.S. sample performed at this level.…
Descriptors: Foreign Countries, Comparative Analysis, Symbols (Mathematics), Grade 6
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Capraro, Mary Margaret; Ding, Meixia; Matteson, Shirley; Capraro, Robert M.; Li, Xiaobao – School Science and Mathematics, 2007
Teachers and researchers have long recognized that students tend to misunderstand the equal sign as an operator; that is, a signal for "doing something" rather than a relational symbol of equivalence or quantity sameness. Students' equal sign misconception has been researched for more than thirty years (Weaver, 1971, 1973) with little…
Descriptors: Foreign Countries, Misconceptions, Symbols (Mathematics), Mathematical Concepts