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Hourigan, Mairéad; Leavy, Aisling – Australian Primary Mathematics Classroom, 2022
This paper explores Year 3 Irish students' problem-solving strategies when responding to a skyscraper growing pattern problem. Students' strategies reveal their understandings of multiplicative thinking, pattern, and algebraic reasoning. The version of the growing pattern lesson was that a 'teaching through problem solving' approach was taken,…
Descriptors: Multiplication, Thinking Skills, Algebra, Mathematics Education

Greer, Brian – Journal for Research in Mathematics Education, 1987
Investigated was how easily pupils aged 12 and 13 who were initially unaware of the invariance of an operation (with decimals) modeling a situation could be led to such awareness. Results from clinical interviews are reviewed and a protocol presented. It appeared difficult to induce conservation. (MNS)
Descriptors: Cognitive Processes, Conservation (Concept), Decimal Fractions, Division