Future teachers' professional knowledge on argumentation and proof : a case study from universities in three countries

Schwarz, Bjorn, Leung, Issic K. C., Buchholtz, Nils, Kaiser, Gabriele, Stillman, Gloria, Brown, Jill and Vale, Colleen 2008, Future teachers' professional knowledge on argumentation and proof : a case study from universities in three countries, ZDM, vol. 40, no. 5, pp. 791-811, doi: 10.1007/s11858-008-0150-8.

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Title Future teachers' professional knowledge on argumentation and proof : a case study from universities in three countries
Author(s) Schwarz, Bjorn
Leung, Issic K. C.
Buchholtz, Nils
Kaiser, Gabriele
Stillman, Gloria
Brown, Jill
Vale, ColleenORCID iD for Vale, Colleen orcid.org/0000-0002-9070-7071
Journal name ZDM
Volume number 40
Issue number 5
Start page 791
End page 811
Total pages 21
Publisher Springer
Place of publication Heidelberg, Germany
Publication date 2008
ISSN 1863-9690
1863-9704
Keyword(s) proof
teacher education
mathematical content knowledge
pedagogical content knowledge
Summary In this paper, qualitative results of a case study about the professional knowledge in the area of argumentation and proof of future teachers from universities in three countries are described. Based on results of open questionnaires, data about the competencies these future teachers have in the areas of mathematical knowledge and knowledge of mathematics pedagogy are presented. The study shows that the majority of the future teachers at the participating universities situated in Germany, Hong Kong and Australia, were not able to execute formal proofs, requiring only lower secondary mathematical content, in an adequate and mathematically correct way. In contrast, in all samples there was evidence of at least average competencies of pedagogical content reflection about formal and pre-formal proving in mathematics teaching. However, it appears that possessing a mathematical background as mandated for teaching and having a high affinity with proving in mathematics teaching at the lower secondary level are not a sufficient preparation for teaching proof.
Language eng
DOI 10.1007/s11858-008-0150-8
Field of Research 139999 Education not elsewhere classified
Socio Economic Objective 970113 Expanding Knowledge in Education
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©2008, FIZ Karlsruhe
Persistent URL http://hdl.handle.net/10536/DRO/DU:30044060

Document type: Journal Article
Collections: Faculty of Arts and Education
School of Education
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