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Pittalis, Marios – International Journal of Science and Mathematics Education, 2023
A theoretical model describing young students' (Grade 3) arithmetic-algebraic structure sense was formulated and validated empirically (n = 130), hypothesizing that young students' arithmetic-algebraic structure sense consists of five distinct but correlated factors; structure in numerical equivalence and word-problem modeling, structure in…
Descriptors: Elementary School Students, Grade 3, Mathematics Skills, Arithmetic
Maschietto, Michela – International Journal of Science and Mathematics Education, 2015
This paper presents the analysis of two teaching experiments carried out in the context of the mathematics laboratory in a primary school (grades 3 and 4) with the use of the pascaline Zero + 1, an arithmetical machine. The teaching experiments are analysed by coordinating two theoretical frameworks, i.e. the instrumental approach and the Theory…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Grade 3, Grade 4
Kim, Mijung; Roth, Wolff-Michael; Thom, Jennifer – International Journal of Science and Mathematics Education, 2011
There is mounting research evidence that contests the metaphysical perspective of knowing as mental process detached from the physical world. Yet education, especially in its teaching and learning practices, continues to treat knowledge as something that is necessarily and solely expressed in ideal verbal form. This study is part of a funded…
Descriptors: Nonverbal Communication, Mathematics Instruction, Educational Research, Cognitive Processes
Biddlecomb, Barry; Carr, Martha – International Journal of Science and Mathematics Education, 2011
The purpose of this study was to determine whether patterns of strategy use in second, third and fourth grade children's arithmetic supported Steffe's model of numerical development. In addition to student-generated strategies, we looked at commonly taught algorithms not considered in Steffe's model to determine whether these algorithms reflected…
Descriptors: Grade 4, Grade 3, Grade 2, Arithmetic