Literaturnachweis - Detailanzeige
Autor/inn/en | Stephens, Max; Day, Lorraine; Horne, Marj |
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Titel | An Empirically Based Practical Learning Progression for Generalisation, an Essential Element of Algebraic Reasoning |
Quelle | In: Australian Journal of Education, 65 (2021) 3, S.313-328 (16 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Zusatzinformation | ORCID (Day, Lorraine) |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0004-9441 |
DOI | 10.1177/00049441211044798 |
Schlagwörter | Algebra; Thinking Skills; Teaching Methods; Mathematics Instruction; Generalization; National Curriculum; Mathematics Curriculum; Problem Solving; Mathematics Tests; High School Students; Scoring Rubrics; Abstract Reasoning; Foreign Countries; Australia |
Abstract | Generalisation is a key feature of learning algebra, requiring all four proficiency strands of the Australian Curriculum: Mathematics (AC:M): Understanding, Fluency, Problem Solving and Reasoning. From a review of the literature, we propose a learning progression for algebraic generalisation consisting of five levels. Our learning progression is then elaborated and validated by reference to a large range of assessment tasks acquired from a previous project Reframing Mathematical Futures II (RMFII). In the RMFII project, Rasch modelling of the responses of over 5000 high school students (Years 7-10) to algebra tasks led to the development of a Learning Progression for Algebraic Reasoning (LPAR). Our learning progression in generalisation is more specific than the LPAR, more coherent regarding algebraic generalisation, and enabling teachers to locate students' performances within the progression and to target their teaching. In addition, a selection of appropriate teaching resources and marking rubrics used in the RMFII project is provided for each level of the learning progression. (As Provided). |
Anmerkungen | SAGE 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 von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2024/1/01 |