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Direct linkKate Quane; Helen Booth – Australian Primary Mathematics Classroom, 2023
The authors define two mathematical cognitive verbs which are fundamental to the development of mathematical thinking and reasoning. They distinguish between 'describing' and 'explaining' in relation to doing mathematics, rather than using them interchangeably.
Descriptors: Mathematics Instruction, Teaching Methods, Thinking Skills, Verbs
Vale, Colleen; Widjaja, Wanty; Herbert, Sandra; Bragg, Leicha A.; Loong, Esther Yoon-Kin – International Journal of Science and Mathematics Education, 2017
Explaining appears to dominate primary teachers' understanding of mathematical reasoning when it is not confused with problem solving. Drawing on previous literature of mathematical reasoning, we generate a view of the critical aspects of reasoning that may assist primary teachers when designing and enacting tasks to elicit and develop…
Descriptors: Foreign Countries, Elementary School Students, Grade 3, Grade 4
Download full textWarren, Elizabeth; Cooper, Tom J. – Mathematics Education Research Journal, 2005
This article examines students' ability to use the balance model to solve for unknowns. A teaching experiment was conducted in four Year 3 classrooms. This experiment focused on exploring the application of the balance model as an analogue for representing equations and solving for unknowns. The teaching experiment promoted a shift by students…
Descriptors: Young Children, Grade 3, Elementary School Students, Nonverbal Ability
