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Xin, Yan Ping – ZDM: The International Journal on Mathematics Education, 2019
Whole number arithmetic is the foundation of higher mathematics and a core part of elementary mathematics. Awareness of pattern and underlying problem structure promote the learning of whole number arithmetic. A growing consensus has emerged on the necessity to provide students with the opportunity to engage in algebraic reasoning earlier in their…
Descriptors: Addition, Mathematics Instruction, Word Problems (Mathematics), Problem Solving
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Schumacher, Robin F.; Malone, Amelia S. – Elementary School Journal, 2017
The goal of this study was to describe fraction-calculation errors among fourth-grade students and to determine whether error patterns differed as a function of problem type (addition vs. subtraction; like vs. unlike denominators), orientation (horizontal vs. vertical), or mathematics-achievement status (low-, average-, or high-achieving). We…
Descriptors: Error Patterns, Mathematics Instruction, Computation, Mathematics Achievement
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Schumacher, Robin F.; Malone, Amelia S. – Grantee Submission, 2017
The goal of the present study was to describe fraction-calculation errors among 4th-grade students and determine whether error patterns differed as a function of problem type (addition vs. subtraction; like vs. unlike denominators), orientation (horizontal vs. vertical), or mathematics-achievement status (low- vs. average- vs. high-achieving). We…
Descriptors: Error Patterns, Mathematics Instruction, Computation, Mathematics Achievement