Monitoring and Prompting Emergent Algebraic Reasoning in the Middle Years: Using Reverse Fraction Tasks

التفاصيل البيبلوغرافية
العنوان: Monitoring and Prompting Emergent Algebraic Reasoning in the Middle Years: Using Reverse Fraction Tasks
اللغة: English
المؤلفون: Pearn, Catherine, Stephens, Max, Pierce, Robyn, Mathematics Education Research Group of Australasia
المصدر: Mathematics Education Research Group of Australasia. 2019.
الإتاحة: Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: sales@merga.net.au; Web site: http://www.merga.net.au/
Peer Reviewed: N
Page Count: 8
تاريخ النشر: 2019
نوع الوثيقة: Speeches/Meeting Papers
Reports - Research
Education Level: Junior High Schools
Middle Schools
Secondary Education
Descriptors: Progress Monitoring, Prompting, Algebra, Middle School Students, Fractions, Problem Solving, Screening Tests, Questionnaires, Scores, Foreign Countries, Thinking Skills, Middle School Mathematics
مصطلحات جغرافية: Australia
مستخلص: To succeed in mathematics middle-years' students must move from additive to multiplicative thinking and from arithmetic calculations to generalised algebraic strategies. If we ask the right questions this progression can be monitored and prompted through fraction tasks. Students' solution strategies for fraction tasks vary from a dependence on diagrams, to methods that demonstrate algebraic reasoning. Based on testing and interviews two frameworks have been developed. The first is used to classify strategies students use to find an unknown whole, when given a known fractional part of the whole, and its equivalent quantity. The second framework monitors the extent to which algebraic reasoning is apparent when opportunities for generalised responses are prompted.
Abstractor: As Provided
Entry Date: 2020
رقم الأكسشن: ED604298
قاعدة البيانات: ERIC