ERIC Number: EJ1356640
Record Type: Journal
Publication Date: 2022-Sep
Pages: 27
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1033-2170
EISSN: EISSN-2211-050X
Overlaps and Shifts of Instructional Goals in the Design of a Set of Mathematics Tasks
Mathematics Education Research Journal, v34 n3 p523-549 Sep 2022
This article presents a case study on a secondary mathematics teacher, Mary (pseudonym), and her design of a set of instructional tasks in the context of proportional reasoning. In keeping with the way Singapore teachers generally conceive of instructional planning, we investigated the connections between four comparison tasks she designed through her instructional goals. We adopt the use of an item-level lens to analyse the instructional goals of individual tasks, followed by a set-level lens to determine the movement in her instructional goals across tasks. The metaphors of "overlaps" and "shifts" describe how the movement of her instructional goals helped to advance students' understanding of proportionality and to develop their proportional reasoning. Findings illustrate the usefulness of adopting the metaphors of overlaps and shifts and using two lenses to gain insights on teachers' complex design processes. Additionally, they suggest that teachers' understanding of student's knowledge at the primary level is valuable for designing tasks that will ease students' transition to secondary mathematics.
Descriptors: Instructional Design, Teaching Methods, Mathematics Instruction, Case Studies, Mathematics Teachers, Thinking Skills, Item Analysis, Educational Objectives, Secondary School Teachers, Concept Formation, Mathematical Concepts, Figurative Language, Prior Learning, Teacher Student Relationship
Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://bibliotheek.ehb.be:2123/
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Secondary Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A