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Knox, Joanne; Kontorovich, Igor' – Mathematics Education Research Journal, 2023
This paper stems from calls for methodological advancement in two areas of research: primary mathematics education and dialogical education. We respond to these calls from the commognitive standpoint by introducing the "Grove of Realizations" as a tool for capturing and visualizing individual students' learning through collaborative work…
Descriptors: Academic Achievement, Small Group Instruction, Cooperative Learning, Mathematics Education
Knox, Joanne – Mathematics Education Research Group of Australasia, 2021
This paper uses the commognitive framework to analyse how a group of four primary school students classify odd and even numbers. The findings show how students' reasoning is grounded in their personal uses of "odd" and "even". The students attend to different features of "oddness" and "evenness" and agree on…
Descriptors: Elementary School Students, Classification, Thinking Skills, Decision Making
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Coleman, Claire M.; Lind, Tim – Waikato Journal of Education, 2020
Following recent increases in the diversity of students, technologies, pedagogies and environments, New Zealand classrooms are sites of growing complexity. Tasked with covering a broad range of disciplines within each school day, opportunities for subject integration are of increasing value to busy teachers. Developing upon a previous piece of…
Descriptors: Foreign Countries, Mathematics Instruction, Teaching Methods, Interdisciplinary Approach