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Autor/inn/enSeah, Rebecca; Horne, Marj
TitelDeveloping Reasoning within a Geometric Learning Progression: Implications for Curriculum Development and Classroom Practices
QuelleIn: Australian Journal of Education, 65 (2021) 3, S.248-264 (17 Seiten)Infoseite zur Zeitschrift
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ZusatzinformationORCID (Seah, Rebecca)
Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0004-9441
DOI10.1177/00049441211036532
SchlagwörterTeaching Methods; Mathematics Instruction; Thinking Skills; Secondary School Students; Geometry; Curriculum Development; Task Analysis; Foreign Countries; Mathematics Curriculum; Evidence Based Practice; Australia
AbstractPromoting reasoning is the goal of mathematics education. While reasoning behaviours can be observed, how to characterise them and nurture their growth remains ambiguous. In this article, we report our effort in drafting a learning progression and geometric thinking model and using them to investigate Australian students' geometric reasoning abilities. The data were taken from a large-scale study into the development of mathematical reasoning. Rasch analysis resulted in eight thinking zones being charted. Using a mixed method, we analysed 446 Year 7 to 10 students' responses on a task that requires them to enlarge a logo, state its coordinates and calculate the enlarged area. In-depth, fine-grained analysis of students' explanations revealed the range of skills and techniques students used to reason about the situation. The findings suggest that higher level reasoning was characterised by evidence of increased visualisation skills and proficient use of mixed mediums to communicate intent. The implications of the findings for curriculum and classroom practice are discussed. (As Provided).
AnmerkungenSAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: http://sagepub.com
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2024/1/01
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