ERIC Number: EJ921555
Record Type: Journal
Publication Date: 2011-May
Abstractor: As Provided
Reference Count: 27
How Do Teachers' Approaches to Geometric Work Relate to Geometry Students' Learning Difficulties?
Kuzniak, Alain; Rauscher, Jean-Claude
Educational Studies in Mathematics, v77 n1 p129-147 May 2011
Various studies suggest that French students (grades 7 to 10) may solve geometric problems within a paradigmatic framework that differs from that assumed by teachers, a situation prone to misunderstandings. In this paper, we study the extent to which secondary school teachers recognise the conflicting paradigms and how they handle the geometric work conducted, in sometimes unintended ways, by their students. This is done by analysing teachers' reactions to specific answers students offered to the Charlotte and Marie problem, an "ambiguous" problem with various solutions depending on the paradigm adopted. As a result of the study, we found that, beyond similarities due to a shared mathematical background, the way secondary schoolteachers handle students' answers varies with their conceptions of geometric work. Implications are drawn regarding the teaching of geometry and the training of teachers.
Descriptors: Learning Problems, Secondary School Teachers, Geometric Concepts, Geometry, Teaching Methods, Teacher Response, Secondary School Mathematics, Mathematical Concepts, Student Evaluation, Error Correction, Error Patterns, Teaching Styles, Foreign Countries
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Authoring Institution: N/A
Identifiers - Location: France