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Visualizing division in mathematical textbook

Authors: Baranović, Nives;

Visualizing division in mathematical textbook

Abstract

Mathematics textbooks are fundamental resources for both teachers and students, shaping the way mathematical concepts are introduced and understood. This study explores how the concept of division has been visually presented in primary-grade textbooks historically. Specifically, it examines the types of visual representations used in introductory division lessons in Serbia and Croatia from the 1950s to the present. The analysis is grounded in Vergnaud's theory of multiplicative structures and Greer's classification of multiplicative situations, providing a framework for evaluating how different representations support conceptual development. By comparing historical and contemporary approaches, the study seeks to identify trends, explain differences, and assess the role of visualization in fostering a deeper understanding of division. The findings contribute to the discussion on how visual representations can effectively support students’ learning and have implications for textbook design and didactical approaches in mathematics education.

Keywords

visualiziation, textbook, arithmetic operation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average