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Eriksson, Helena; Sumpter, Lovisa – Educational Studies in Mathematics, 2021
This study examines the collective mathematical reasoning when students and teachers in grades 3, 4, and 5 explore fractions derived from length comparisons, in a task inspired by the Elkonin and Davydov curriculum. The analysis showed that the mathematical reasoning was mainly anchored in mathematical properties related to fractional or algebraic…
Descriptors: Fractions, Mathematics Skills, Thinking Skills, Algebra
Flores, Margaret M.; Moore, Alexcia J.; Meyer, Jill M. – Psychology in the Schools, 2020
Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning…
Descriptors: Elementary School Students, Grade 4, Grade 5, Teaching Methods
Vale, Colleen; Widjaja, Wanty; Herbert, Sandra; Bragg, Leicha A.; Loong, Esther Yoon-Kin – International Journal of Science and Mathematics Education, 2017
Explaining appears to dominate primary teachers' understanding of mathematical reasoning when it is not confused with problem solving. Drawing on previous literature of mathematical reasoning, we generate a view of the critical aspects of reasoning that may assist primary teachers when designing and enacting tasks to elicit and develop…
Descriptors: Foreign Countries, Elementary School Students, Grade 3, Grade 4