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Feyza Kurban; Hüseyin Bahadir Yanik – Journal of Pedagogical Research, 2024
The study aims to define the processes of pre-service mathematics teachers in reaching spatial visualisation generalisations within the context of drawing surface nets of solids. Two theories, Polya's problem-solving steps and novice-to-expert problem-solving schemas, were used as reference frameworks to describe the participants' spatial…
Descriptors: Preservice Teachers, Mathematics Teachers, Mathematics Instruction, Visualization
Burte, Heather; Gardony, Aaron L.; Hutton, Allyson; Taylor, Holly A. – Grantee Submission, 2018
Spatial visualization--the ability to mentally imagine and manipulate objects--has frequently been measured using the Paper Folding Test (PFT). In this task, participants view diagrams of a paper being folded and a hole being punched. They then identify the resulting punch pattern. Although task instructions promote mentally unfolding the paper,…
Descriptors: Spatial Ability, Visualization, Task Analysis, Problem Solving
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Starns, Jeffrey J.; Cohen, Andrew L.; Bosco, Cara; Hirst, Jennifer – Applied Cognitive Psychology, 2019
We tested a method for solving Bayesian reasoning problems in terms of spatial relations as opposed to mathematical equations. Participants completed Bayesian problems in which they were given a prior probability and two conditional probabilities and were asked to report the posterior odds. After a pretraining phase in which participants completed…
Descriptors: Visualization, Bayesian Statistics, Problem Solving, Probability
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Usman, Ahmed Ibrahim – European Journal of Science and Mathematics Education, 2017
The paper investigates geometric errors students made as they tried to use their basic geometric knowledge in the solution of the Applied Calculus Optimization Problem (ACOP). Inaccuracies related to the drawing of geometric diagrams (visualization skills) and those associated with the application of basic differentiation concepts into ACOP…
Descriptors: Mathematics Education, Mathematical Applications, Geometry, Calculus
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Chen, Yi-Chun; Yang, Fang-Ying – International Journal of Science and Mathematics Education, 2014
There were two purposes in the study. One was to explore the cognitive activities during spatial problem solving and the other to probe the relationship between spatial ability and science concept learning. Twenty university students participated in the study. The Purdue Visualization of Rotations Test (PVRT) was used to assess the spatial…
Descriptors: Cognitive Ability, Spatial Ability, Problem Solving, Science Instruction