ERIC Number: EJ1396704
Record Type: Journal
Publication Date: 2023
Pages: 18
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1492-6156
EISSN: EISSN-1942-4051
Available Date: N/A
Leveraging Number Lines and Unit Fractions to Build Student Understanding: Insights from a Mixed Methods Study
Bruce, Catherine D.; Flynn, Tara; Yearley, Shelley; Hawes, Zachary
Canadian Journal of Science, Mathematics and Technology Education, v23 n2 p322-339 2023
Fractions remain a challenging area of school mathematics at every stage of education, with impacts that extend far beyond the school years. For this study, researchers engaged in classroom-based design research over a 6-year period to investigate effective strategies for teaching fractions with Canadian students. Participants included 86 teachers (representing 12 collaborative research teams spread across 8 school boards) and over 2000 students from Grades 3-10. Quantitative analyses revealed significant pre-post gains in students' fraction knowledge. Qualitative findings revealed some best practices in fractions instruction, including the importance of focusing on unit fractions and number lines to facilitate student sense-making. These findings lead to a detailed discussion of the benefits of (1) focusing on unit fractions as a central construct that allows students to meaningfully work with fractions and make connections across ideas of increasing complexity; (2) leveraging powerful representations as objects-to-think-with that combine concrete and abstract thinking about fractions; and (3) using a design research methodology in the context of collaborative work with teachers.
Descriptors: Fractions, Number Concepts, Spatial Ability, Thinking Skills, Mathematics Instruction, Teaching Methods, Elementary School Students, Secondary School Students, Foreign Countries, Best Practices
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Canada
Grant or Contract Numbers: N/A
Author Affiliations: N/A