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Reasoning about Student Written Work through Self-Comparison: How Pre-Service Secondary Teachers Use Their Own Solutions to Analyze Student Work
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Baldinger, Erin E. – Mathematical Thinking and Learning: An International Journal, 2020
Analyzing and interpreting student thinking through written work is a key, often challenging, practice of teaching. It entails noticing students' mathematical thinking and drawing on mathematical knowledge for teaching. This study investigates how pre-service secondary teachers at the beginning of their preparation reason about students' written…
Descriptors: Preservice Teachers, Secondary School Teachers, Problem Solving, Logical Thinking
On an Assumption of Geometric Foundation of Numbers
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Anatriello, Giuseppina; Tortoriello, Francesco Saverio; Vincenzi, Giovanni – International Journal of Mathematical Education in Science and Technology, 2016
In line with the latest positions of Gottlob Frege, this article puts forward the hypothesis that the cognitive bases of mathematics are geometric in nature. Starting from the geometry axioms of the "Elements" of Euclid, we introduce a geometric theory of proportions along the lines of the one introduced by Grassmann in…
Descriptors: Mathematics, Mathematics Instruction, Geometry, Numbers
The Role of Visuospatial Thinking in Students' Predictions of Molecular Geometry
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Kiernan, Nicola A.; Manches, Andrew; Seery, Michael K. – Chemistry Education Research and Practice, 2021
Visuospatial thinking is considered crucial for understanding of three-dimensional spatial concepts in STEM disciplines. Despite their importance, little is known about the underlying cognitive processing required to spatially reason and the varied strategies students may employ to solve visuospatial problems. This study seeks to identify and…
Descriptors: Visual Perception, Spatial Ability, Cognitive Processes, Thinking Skills
The Relationship between Visual-Spatial Reasoning Ability and Math and Geometry Problem-Solving
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Markey, Sean M. – ProQuest LLC, 2009
This retrospective quantitative study examined the relationship between visual-spatial reasoning abilities, as measured by the matrix reasoning and block design subtests of the Wechsler Intelligence Scale for Children-Fourth Edition (WISC-IV), and geometry and math performance, as measured by geometry and overall math scores from the Massachusetts…
Descriptors: Spatial Ability, Logical Thinking, Geometry, Mathematics
Logo and Angle Estimation Skills.
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Frazier, Max K. – Journal of Computers in Mathematics and Science Teaching, 1989
Described is a study in which seventh graders used LOGO in place of receiving geometry instruction. It was hypothesized that angle recognition estimation and construction would be higher for the LOGO group. Reports that a difference was found favoring the LOGO group. Provides a short history of the LOGO language. (MVL)
Descriptors: Cognitive Development, Cognitive Style, Computer Uses in Education, Geometric Concepts
Proceedings of the Annual Meeting of the International Group for the Psychology of Mathematics Education (PME) (28th, Bergen, Norway, July 14-18, 2004). Volume 4
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Hoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the fourth volume of the proceedings of the 28th annual conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Inclusion and Diversity". This volume features 64 research report papers: (1) Situated or Abstract: The Effect of…
Descriptors: Foreign Countries, Equations (Mathematics), Teaching Methods, Misconceptions
Proceedings of the Annual Meeting of the International Group for the Psychology of Mathematics Education (PME) (28th, Bergen, Norway, July 14-18, 2004). Volume 3
PDF on ERIC Download full text
Hoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the third volume of the proceedings of the 28th Annual Conference of the International Group for the Psychology of Mathematics. Conference presentations are centered around the theme "Inclusion and Diversity". A total of 65 research reports are presented here: (1) A Teacher's Model of Students Algebraic Thinking…
Descriptors: Teaching Methods, Foreign Countries, Preservice Teachers, Psychology