ERIC Number: EJ1350548
Record Type: Journal
Publication Date: 2022
Pages: 12
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1744-2710
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Prospective High School Mathematics Teachers' Uses of Diagrams and Geometric Transformations While Reasoning about Geometric Proof Tasks
Unal, Deniz Ozen; Hollebrands, Karen; McCulloch, Allison; Scher, Daniel; Steketee, Scott
International Journal for Technology in Mathematics Education, v29 n1 p13-24 2022
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.
Descriptors: 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
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education; High Schools; Secondary Education
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Language: English
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