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Cramer, Kathleen; Wyberg, Terry – Mathematical Thinking and Learning: An International Journal, 2009
The effectiveness of different concrete and pictorial models on students' understanding of the part-whole construct for fractions was investigated. Using interview data from fourth and fifth grade students from three different districts that adopted the "Mathematics Trailblazers" series, authors identified strengths and limitations of models used.…
Descriptors: Mathematics Education, Grade 5, Mathematical Models, Mathematics Instruction
Liu, Fuchang – School Science and Mathematics, 2009
Four hundred and three 3rd- and 5th-grade Chinese students took the Multiplication Estimation Test or participated in the interview on it, designed to assess their computational estimation performance on whole-number multiplication. Students perform better when tasks are presented visually than orally. Third graders tend to use rounding based…
Descriptors: Mental Computation, Grade 5, Grade 3, Arithmetic

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