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Baccaglini-Frank, Anna – ZDM: The International Journal on Mathematics Education, 2019
In a dynamic geometry environment (DGE) conjectures can be generated by manipulating figures with different dragging strategies. One strategy (maintaining dragging) that has been the focus of various studies, consists of inducing a specific geometric property and trying to maintain it. In this paper I focus on abduction and evidence within such…
Descriptors: Geometry, Mathematical Logic, Logical Thinking, Evidence
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Dawkins, Paul Christian; Roh, Kyeong Hah; Eckman, Derek; Cho, Young Kee – North American Chapter of the International Group for the Psychology of Mathematics Education, 2021
This report documents how one undergraduate student used set-based reasoning to reinvent logical principles related to conditional statements and their proofs. This learning occurred in a teaching experiment intended to foster abstraction of these logical relationships by comparing the predicate and inference structures among various proofs (in…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Learning Trajectories
Doumas, Leonidas A. A.; Morrison, Robert G.; Richland, Lindsey E. – Grantee Submission, 2018
Children's cognitive control and knowledge at school entry predict growth rates in analogical reasoning skill over time; however, the mechanisms by which these factors interact and impact learning are unclear. We propose that inhibitory control is critical for developing both the relational representations necessary to reason and the ability to…
Descriptors: Logical Thinking, Thinking Skills, Inhibition, Problem Solving
Gattegno, Caleb – Mathematics Teaching Incorporating Micromath, 2007
Jean Louis Nicolet is a Swiss teacher of mathematics who found his subject so fascinating that he was puzzled as to why so many pupils could not share this enjoyment in their studies. He came to a conclusion which is now supported by the results of psychological research into the learning process: he suggested that the mind does not spontaneously…
Descriptors: Mathematics Education, Psychological Studies, Intuition, Geometry
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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 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
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks