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Michelle Cheung; Bronwyn Reid O’Connor; Ben Zunica – Mathematics Education Research Group of Australasia, 2024
Progressing from additive to multiplicative thinking is a key outcome of school mathematics, making ratios an essential topic of study in junior secondary. In this study, 15 Australian Year 8 students were administered a ratio test followed by semi-structured interviews to explore their conceptions of ratio prior to formal instruction. In this…
Descriptors: Secondary School Students, Mathematics Instruction, Foreign Countries, Multiplication
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Ebby, Caroline B.; Petit, Marjorie – Mathematics Teaching in the Middle School, 2017
A learning trajectory describes the progression of student thinking and strategies over time in terms of sophistication of both conceptual understanding and procedural fluency. Currently, learning trajectories exist in the research literature for many mathematical domains, including counting, addition and subtraction, multiplicative thinking,…
Descriptors: Formative Evaluation, Mathematics Instruction, Mathematics Teachers, Mathematical Concepts