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Downton, Ann; Russo, James; Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2019
We report on 25 Year 5-6 students' written responses to two items taken from an assessment of mental computation fluency with multiplication, alongside their reasoning of the strategy they had employed, which may or may not have made use of the associative property. Coding of this interview data revealed four distinct levels of conceptual…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Elementary School Mathematics
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Sawatzki, Carly; Downton, Ann; Cheeseman, Jill – Mathematics Education Research Journal, 2019
What could two people stand to gain from sharing a taxi ride? We aimed to explore the extent to which this challenging yet accessible financial context might stimulate students' mathematical exploration of multiplicative thinking and proportional reasoning. Through teaching experiment methodology, data were collected from 37 Year 5 and 6 students…
Descriptors: Mathematics Instruction, Mathematical Logic, Mathematical Concepts, Teaching Methods
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Livy, Sharyn; Downton, Ann; Muir, Tracey – Mathematics Teacher Education and Development, 2017
Developing pre-service teachers' (PSTs') knowledge of pedagogical practices can be particularly challenging within university classrooms. Teacher educators are well placed to provide PSTs with theoretical perspectives on pedagogical practices; what is particularly challenging, however, is linking theory with practice and developing PSTs' breadth…
Descriptors: Preservice Teachers, Teacher Competencies, Theory Practice Relationship, Mathematics Instruction