ERIC Number: EJ1354704
Record Type: Journal
Publication Date: 2022
Pages: 11
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1012-2346
EISSN: EISSN-2223-7895
Exploring the Relationship between Commognition and the Van Hiele Theory for Studying Problem-Solving Discourse in Euclidean Geometry Education
Pythagoras, v43 n1 Article 659 2022
This article is an advanced theoretical study as a result of a chapter from the first author's PhD study. The aim of the article is to discuss the relationship between commognition and the Van Hiele theory for studying discourse during Euclidean geometry problem-solving. Commognition is a theoretical framework that can be used in mathematics education to explain mathematical thinking through one's discourse during problem-solving. Commognition uses four elements that characterise mathematical discourse and the difference between ritualistic and explorative discourses to explain how one displays mastery of mathematical problem-solving. On the other hand, the Van Hiele theory characterises five levels of geometrical thinking during one's geometry learning and development. These five levels are fixed and mastery of one level leads to the next, and there is no success in the next level without mastering the previous level. However, for the purpose of the Curriculum and Assessment Policy Statement (CAPS) we only focused on the first four Van Hiele levels. Findings from this theoretical review revealed that progress in the Van Hiele levels of geometrical thinking depends mainly on the discourse participation of the preservice teachers when solving geometry problems. In particular, an explorative discourse is required for the development in these four levels of geometrical thinking as compared to a ritualistic discourse participation.
Descriptors: Geometry, Problem Solving, Mathematics Instruction, Mastery Learning, Thinking Skills, Learning Processes, Educational Policy, Preservice Teachers, Educational Theories, Discourse Analysis, Correlation, Language Usage, Teacher Education Programs
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A