· 2026· Book chapter
Representations and Translations among Representations in Mathematics Learning and Problem Solving
- 468citations
- 2026year
Short summary
This chapter posits that external representations (e.g., diagrams, symbols) are observable embodiments of students' internal mathematical conceptualizations, playing key roles in learning and problem-solving.
AI-generated from the title and abstract; the full text is not read.
Key points
- External representations are observable embodiments of internal conceptualizations in mathematics.
- Translations among different representations are vital for mathematical learning.
- Representations and their translations are critical for effective problem-solving.
- The external/internal representation dichotomy is considered an artificial distinction.
AI-generated from the title and abstract; the full text is not read.
Abstract
This chapter briefly describes several roles that representations, and translations among representations, play in mathematical learning and problem solving. The term representations here is interpreted in a naive and restricted sense as external (and therefore observable) embodiments of students’ internal conceptualizations—although this external/internal dichotomy is artificial.
The authors' abstract, as published at the source., 2026 · DOI ↗
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Field: Education
EducationSocial Sciences