ERIC Number: EJ1431108
Record Type: Journal
Publication Date: 2024
Pages: 22
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1947-7503
EISSN: EISSN-2472-7466
Available Date: N/A
The Role of Units Coordination in Preservice Elementary Teachers' Mathematical Knowledge for Teaching
Erik Jacobson
Investigations in Mathematics Learning, v16 n3 p203-224 2024
This study used units coordination as a theoretical lens to investigate how whole number and fraction reasoning may be related for preservice teachers at the conclusion of a math methods class. The study contributes quantitative evidence that units coordination provides a common foundation for both mathematical knowledge for teaching whole number addition and subtraction and for mathematical knowledge for teaching fraction multiplication and division. An analysis of PSTs' written responses to two different types of tasks (referent unit and appropriateness of proportional reasoning) revealed that some aspects of mathematical knowledge for teaching rational number and the multiplicative conceptual field are associated with units coordination (referent unit tasks), whereas others are not (appropriateness tasks). A logistic regression of PSTs' conceptions of multidigit number on their scores on these tasks provided empirical evidence that the most sophisticated conceptions of multidigit number (corresponding with having interiorized three levels of units) were associated with referent unit tasks but not associated with appropriateness of proportional reasoning tasks. Together, these findings support the claim that units coordination has promise for explaining the relationship between teachers' mathematical knowledge for teaching multidigit addition and subtraction and fraction multiplication and division. Implications for teacher education are discussed.
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Instruction, Methods Courses, Numbers, Addition, Subtraction, Fractions, Multiplication, Division, Number Concepts, Mathematical Concepts, Problem Solving, Research Universities, Teacher Education Programs, Knowledge Base for Teaching
Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education; Elementary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A