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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
Sullivan, Patrick; Barnett, Joann – Australian Primary Mathematics Classroom, 2019
Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.
Descriptors: Fractions, Comparative Analysis, Mathematics Instruction, Teaching Methods
Bragg, Leicha A.; Herbert, Sandra – Australian Primary Mathematics Classroom, 2017
Mathematical reasoning is one of the four proficiencies in the Australian Curriculum: Mathematics (AC:M) where it is described as: "[the] capacity for logical thought and actions, such as analysing, proving, evaluating, explaining, inferring, justifying and generalising" (Australian Curriculum, Assessment and Reporting Authority [ACARA],…
Descriptors: Foreign Countries, Mathematics Instruction, Mathematics Skills, Mathematical Logic
White, Paul; Mitchelmore, Mike; Wilson, Sue; Faragher, Rhonda – Australian Primary Mathematics Classroom, 2009
Being numerate involves using mathematical ideas efficiently to make sense of the world, which is much more than just being able to calculate. What is needed is the accurate interpretation of mathematical information and the ability to draw sound conclusions based on mathematical reasoning. This skill may be called "critical numeracy",…
Descriptors: Numeracy, Mathematics Instruction, Teaching Methods, Mathematical Concepts
