Students transferred cube-based permutation reasoning to permutation tasks not involving cubes¶

Claim · All claims
Evidence · 1 study · theoretical r2 · q2
Currency · newest study 2022 · not yet checked against its sources · not reviewed by a person
Evidence quality · No study behind this claim is a peer-reviewed article with a DOI: it rests on an ERIC document (a report, conference paper or thesis). It is kept because 4 design pages cite it; treat it as a lead to check, not an established finding.

Subclaims¶

q2 i? In later teaching-experiment sessions, both students transferred their cube-based reasoning about permutations to permutation tasks not involving cubes, referring back to their reasoning about cubes. → Joseph Antonides 2022

Evidence¶

Joseph Antonides 2022¶

Joseph Antonides, Michael T. Battista. (2022). Towards an Elaboration of Concreteness Fading: Reflections on a Constructivist Teaching Experiment. Proceedings of the forty-fourth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. https://eric.ed.gov/?id=ED630441

q2 · i? · theoretical · r2

Observation from the same two-student teaching experiment: in later sessions both DC and NK applied cube-based permutation reasoning to tasks without cubes, "referring back to their reasoning about permutations of cubes". The authors interpret this as the cube context providing powerful mental models for transfer.

"in later teaching-experiment sessions, DC and NK transferred their cube-based reasoning about permutations to permutation tasks not involving cubes, with both students referring back to their reasoning about permutations of cubes."

Discussion¶

Learner Variables¶

• Algebraic Thinking — outcome: instruction changes it

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