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A Visual Proof: Convergence of a Hyper Power Sequence -- A Generalisation
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Rajib Mukherjee – International Journal of Mathematical Education in Science and Technology, 2025
I provide a visual proof for the "Convergence of a Hyper power sequence," which generalises a beautiful result; also proved visually by Azarpanah in 2004.
Descriptors: Mathematical Logic, Visualization, Generalization, Equations (Mathematics)
A Causal-Comparative Study of South African Pre-Service Primary Mathematics Teachers' Spatial Visualization Ability: Does Common Content Knowledge Matter?
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Shongwe, Benjamin – International Journal of Mathematical Education in Science and Technology, 2022
This study used a modified mathematical knowledge for teaching (MKT) framework to compare the "common content knowledge" (CCK) of two groups of purposively selected pre-service primary mathematics teachers (n = 86) in relation to spatial visualization. Specifically, thirty-five pre-service teachers (n[subscript 1] = 35) with a pure…
Descriptors: Mathematics Skills, Pedagogical Content Knowledge, Spatial Ability, Visualization
Mathematical Walks in Search of Symmetries: From Visualization to Conceptualization
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Dello Iacono, Umberto; Ferrara Dentice, Eva – International Journal of Mathematical Education in Science and Technology, 2022
This work refers to a research project named 'Math walks', whose aim is to investigate a few students' common conceptions and difficulties related to symmetries as well as to guide the student in the transition from visualization to conceptualization. As far as this issue is concerned, we designed a learning activity (LA) according to Dina van…
Descriptors: Mathematics Instruction, Teaching Methods, Learning Activities, Visualization