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Li, Li; Zhou, Xin; Gao, Xuliang; Tu, Dongbo – ZDM: The International Journal on Mathematics Education, 2020
In this study we investigated the development of 245 kindergarteners' mathematics problem solving (MPS) at two time points within 7 months using a cognitive diagnostic test, which measured three cognitive components (mathematical knowledge and skills, semantic understanding, and quantitative reasoning) with eleven cognitive attributes. The effects…
Descriptors: Kindergarten, Mathematics Instruction, Problem Solving, Mathematics Skills
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Nillas, Leah A. – International Journal for Mathematics Teaching and Learning, 2010
Qualitative research methods were employed to investigate characterization of preservice teachers' mathematical understanding. Responses on test items involving algebraic relationships were analyzed using with-in case analysis (Miles and Huberman, 1994) and Pirie and Kieren's (1994) model of growth of mathematical understanding. Five elementary…
Descriptors: Preservice Teachers, Test Items, Mathematics Instruction, Knowledge Level