Prospective High School Mathematics Teachers' Uses of Diagrams and Geometric Transformations While Reasoning about Geometric Proof Tasks
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Resumo
The purpose of this study was to examine prospective teachers ' uses of diagrams and approaches to congruence while solving proof tasks. Eight prospective high school mathematics teachers were given three proof tasks to solve at the beginning and end of a mathematics education course. The course used the history of mathematics as the context for assisting teachers in making connections between important mathematical ideas. A unit of instruction used technology-based activities to support a transformational approach to congruence. Analysis revealed that at the beginning of the course teachers approached congruence proofs using perceptual or correspondence approach and used a descriptive mode of interaction with diagrams. At the end of the course, their approaches to congruence included more instances of transformations and measures and their interactions with diagrams included fewer uses of the descriptive mode and more instances of representational, generative, and functional modes.
Dados da obra
- Tipo
- Artigo
- Periódico
- International Journal for Technology in Mathematics Education
- Ano
- 2022
- Idioma
- en
- Palavras-chave
- Preservice Teachers; High School Teachers; Mathematics Teachers; Visual Aids; Validity; Mathematical Logic; Problem Solving; Mathematics Education; Geometry; Geometric Concepts; Concept Formation; Educational Technology; Technology Uses in Education
- Temas
- Geometria, História da Matemática, Resolução de Problemas
- ISSN
- 1744-2710
- Acesso
- Metadados apenas
- Fontes
- ERIC — Education Resources Information Center
- Na Biblioteca desde
- 01/10/2026 · verificada em 03/10/2026
Como citar
ABNT
UNAL, Deniz Ozen et al.. Prospective High School Mathematics Teachers' Uses of Diagrams and Geometric Transformations While Reasoning about Geometric Proof Tasks. International Journal for Technology in Mathematics Education, 2022. Disponível em: https://researchinformation.co.uk/tme-information/. Acesso em: 5 nov. 2026.
APA
Unal, D. O., Hollebrands, K., McCulloch, A., Scher, D., & Steketee, S. (2022). Prospective High School Mathematics Teachers' Uses of Diagrams and Geometric Transformations While Reasoning about Geometric Proof Tasks. International Journal for Technology in Mathematics Education. https://researchinformation.co.uk/tme-information/
BibTeX
@article{unal2022,
author = {Unal, Deniz Ozen and Hollebrands, Karen and McCulloch, Allison and Scher, Daniel and Steketee, Scott},
title = {Prospective High School Mathematics Teachers' Uses of Diagrams and Geometric Transformations While Reasoning about Geometric Proof Tasks},
year = {2022},
journal = {International Journal for Technology in Mathematics Education},
url = {https://researchinformation.co.uk/tme-information/},
language = {en}
}RIS
TY - JOUR AU - Unal, Deniz Ozen AU - Hollebrands, Karen AU - McCulloch, Allison AU - Scher, Daniel AU - Steketee, Scott TI - Prospective High School Mathematics Teachers' Uses of Diagrams and Geometric Transformations While Reasoning about Geometric Proof Tasks PY - 2022 JO - International Journal for Technology in Mathematics Education UR - https://researchinformation.co.uk/tme-information/ LA - en ER -
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