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ERIC Number: EJ1101245
Record Type: Journal
Publication Date: 2015-Dec
Pages: 18
Abstractor: As Provided
ISSN: ISSN-1303-0485
Examining Students' Mathematical Understanding of Geometric Transformations Using the Pirie-Kieren Model
Gülkilika, Hilal; Ugurlu, Hasan Hüseyin; Yürük, Nejla
Educational Sciences: Theory and Practice, v15 n6 p1531-1548 Dec 2015
Students should learn mathematics with understanding. This is one of the ideas in the literature on mathematics education that everyone supports, from educational politicians to curriculum developers, from researchers to teachers, and from parents to students. In order to decide whether or not students understand mathematics we should first identify how mathematical understanding occurs. The purpose of this research is to analyze 10th-grade students' mathematical understanding of geometric transformations as developed in an environment enriched with multiple representations. Four 10th-grade students were observed during their lessons on translation, rotation, reflection, and dilation; semi-structured task-based interviews were then conducted with them after the lessons. The findings of this study reveal that although students' levels of mathematical understanding developed from informal to formal, this development was not unidirectional and students showed a tendency to use informal understandings. Students' primitive knowledge of geometric transformations was at the core of their understanding, whereas activities in the understanding levels of Image Making and Property Noticing directly affected the growth of their mathematical understanding. The folding back movements, activities in the forms of acting and expressing within the different levels of understanding, and multiple representations of concepts in the learning environment guided their process of mathematical understanding.
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Publication Type: Journal Articles; Reports - Research; Tests/Questionnaires
Education Level: Grade 10; Secondary Education; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Turkey (Ankara)
Grant or Contract Numbers: N/A