Visual and Symbolic Representations as Components of Algebraic Reasoning

Abstract: Sixty (35 girls) ninth graders were assessed on measures of algebraic reasoning and usage of visual and symbolic representations (with a prompt for visual use) to solve equations and inequalities. The study grouped visual representations into two categories: arithmetic-visual, which entailed the use of real-world objects to represent specific values of variables, and algebraic-visual, which involved formal representations like the number line and the coordinate plane. Symbolic representations, on the other hand, encompassed the use of standard algorithms to solve equations, such as changing the place of terms in an equation. The results reveal that the use of algebraic visuals, as opposed to arithmetic visuals, was associated with enhanced algebraic reasoning. Further, although the students initially relied on standard algorithms to explain equations and inequalities, they could produce accurate algebraic-visual representations when prompted. These findings suggest that students ha.... https://jnc.psychopen.eu/index.php/jnc/article/view/11151

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Visual and Symbolic Representations as Components of Algebraic Reasoning ; volume:9 ; number:2 ; day:31 ; month:07 ; year:2023 ; Journal of numerical cognition ; 9, Heft 2 (31.07.2023)

Contributors, Places and Time

• Creator: Ünal, Zehra E. ; Ala, Aslı M. ; Kartal, Gamze ; Özel, Serkan ; Geary, David C.

Further information

• DOI: 10.5964/jnc.11151
• URN: urn:nbn:de:101:1-2023081905092847713980
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 11:01 AM CEST