NotesFAQContact Us
Collection
Advanced
Search Tips
Back to results
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ1401327
Record Type: Journal
Publication Date: 2023
Pages: 16
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1473-0111
EISSN: EISSN-1473-0111
Developing Knowledge of Student Thinking: Understanding Big Ideas behind Students' Difficulties with Connecting Representations in Algebra
Moon, Kyunghee
International Journal for Mathematics Teaching and Learning, v24 n1 p1-16 2023
This study concerns preservice teachers' knowledge of student thinking at the secondary level. In particular, it examines in what ways a three-week unit integrating content and student thinking was beneficial in developing preservice teachers' knowledge of student thinking associated with big ideas in algebra--such as variation, Cartesian Connection, and the graph as a locus of points. In the early stage of discussion of student work, preservice teachers tended to focus mostly on students' errors/mistakes, correct ways the problems should have been solved, or the types of problems that students had. However, with the progress made in discussion, they were able to attribute students' difficulties to a lack of understanding of qualities such as definitions, properties, and concepts, and further to a lack of the understanding of big ideas underneath the qualities, with the help from instructors. The majority were also able to design contextualized tasks that could stimulate students' interests; yet they struggled to explain how they would use the tasks to promote students' development of big ideas by connecting multiple representations.
Centre for Innovation in Mathematics Teaching. 5th Floor Rolle Building, Faculty of Education University of Plymouth, Drake Circus, Plymouth, PL4 8AA, UK. Tel: +44-1752-585346; Fax: +44-1752-585344; e-mail: feedback@cimt.org.uk; Web site: http://www.cimt.org.uk/ijmtl/index.php/IJMTL/about
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A