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Candace Walkington; Mitchell J. Nathan; Min Wang; Kelsey Schenck – Grantee Submission, 2022
Theories of grounded and embodied cognition offer a range of accounts of how reasoning and body-based processes are related to each other. To advance theories of grounded and embodied cognition, we explore the "cognitive relevance" of particular body states to associated math concepts. We test competing models of action-cognition…
Descriptors: Thinking Skills, Mathematics Skills, Cognitive Processes, Models
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Candace Walkington; Mitchell J. Nathan; Min Wang; Kelsey Schenck – Cognitive Science, 2022
Theories of grounded and embodied cognition offer a range of accounts of how reasoning and body-based processes are related to each other. To advance theories of grounded and embodied cognition, we explore the "cognitive relevance" of particular body states to associated math concepts. We test competing models of action-cognition…
Descriptors: Thinking Skills, Mathematics Skills, Cognitive Processes, Models
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Andika, Fajar; Pramudya, Ikrar; Subanti, Sri – International Online Journal of Education and Teaching, 2020
Geometry subject that prosecute students to comprehend abstracts things is one of the causes of students' difficulties in mathematics learning. This study aims to determine the effect of Problem Posing and Problem Solving learning models with the Scientific Approach to students' adaptive reasoning on plane figure materials. It was conducted at the…
Descriptors: Geometry, Mathematics Instruction, Teaching Methods, Problem Solving
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Guncaga, Ján; Tkacik, Štefan; Žilková, Katarína – European Journal of Contemporary Education, 2017
Misconceptions in geometry are an essential problem in the understanding of geometric terms by primary and pre-primary aged children. Present research shows some misconceptions in geometry demonstrated in the understanding of circles, squares, triangles and oblongs for children in the last year of kindergarten and pupils in the last year of…
Descriptors: Geometric Concepts, Elementary School Students, Preschool Children, Teacher Education
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Dawkins, Paul Christian – For the Learning of Mathematics, 2012
Weber and Alcock's (2004, 2009) syntactic/semantic framework provides a useful means of delineating two basic categories of proof-oriented activity. They define their dichotomy using Goldin's (1998) theory of representation systems. In this paper, I intend to clarify the framework by providing criteria for classifying student reasoning into…
Descriptors: Semantics, Syntax, Models, Mathematical Logic
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Fischbein, Efraim; And Others – For the Learning of Mathematics, 1990
Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)
Descriptors: Cognitive Structures, Foreign Countries, Geometry, Learning Processes
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
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