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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
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
Kara, Melike – ProQuest LLC, 2013
The aims of this study were to investigate how upper-elementary-grade students compare the volume of rectangular prisms of equal volume (specifically, students' noticing and reasoning for invariance of volume and coordination of the three linear dimensions of rectangular prisms) and how students' levels of sophistication in volume measurement…
Descriptors: Abstract Reasoning, Elementary School Students, Elementary School Mathematics, Grade 4