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ERIC Number: EJ1462547
Record Type: Journal
Publication Date: 2025
Pages: 17
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: EISSN-2301-251X
Available Date: 0000-00-00
Mathematical Practices (Commonly Used by Mathematicians) in Mathematics Teachers' Solutions to Algebraic Problems
European Journal of Science and Mathematics Education, v13 n1 p41-57 2025
A teacher of mathematics knows mathematics as a teacher and as a mathematician. Whilst the existing research on teacher knowledge contributes to our understanding of the ways of knowing mathematics as a teacher, little is known about ways of knowing mathematics as a mathematician. Guided by the conceptual framework of mathematical practices (MPs) (commonly used by mathematicians), this case study aimed to contribute to fill this gap. The study examined solutions generated by two secondary teachers of mathematics to a set of algebraic problems to determine which MPs are apparent, or not, in the teachers' work. Data were content analyzed deductively. Findings reveal that both teachers consistently demonstrated three practices: "seeking to find patterns"; "creating models for mathematical ideas"; and "using symbolic representations of ideas," whilst two practices: "using precise definitions of objects"; and "having fine distinctions about language" were less present in either teacher solutions. More high-level practices such as "characterizing objects based on structure" and "using logical arguments as sources of conviction" were manifested in routine problems but absent in nonroutine problems. It is anticipated that teacher training experiences and curriculum contexts have influences on teachers' MPs in doing mathematics.
European Journal of Science and Mathematics Education. Eastern Mediterranean University, Farnagusta, TRNC, Mersin 10, Turkey. e-mail: editor@scimath.net; Web site: http://www.scimath.net
Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Australia
Grant or Contract Numbers: N/A
Author Affiliations: N/A