Results 1 to 10 of about 76,108 (299)
Journal of Mathematics Education at Teachers College, 2022 This paper examines Grade 6 students’ thinking about geometrical solids and their properties in the context of a computer-based task. The main focus is to explore how students interact with a number of tasks based on the dynamic transformation of ...
Christos Markopoulos +2 more
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Mathematics, 2021 This paper reports sophistication levels in third grade children’s understanding of polygon concept and polygon classes. We consider how children endow mathematical meaning to parts of figures and reason to identify relationships between polygons.
Melania Bernabeu +2 more
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Pythagoras, 2022 This article is an advanced theoretical study as a result of a chapter from the first author’s PhD study. The aim of the article is to discuss the relationship between commognition and the Van Hiele theory for studying discourse during Euclidean geometry
Sfiso C. Mahlaba, Vimolan Mudaly
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DEVELOPMENT OF PBL E-MODULES ON POLYHEDRON CONSTRUCTIONS FOR GEOMETRICAL THINKING ABILITY
Kalamatika, 2023 This research aimed to address the issue of low geometry proficiency among students and the lack of teaching materials and assess the validity and practicality of utilizing PBL e-modules as a teaching aid.
Felia Dwi Rahayu +2 more
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A geometrical framework for thinking about proteins
Proteins: Structure, Function, and Bioinformatics, 2023 Abstract We present a model, based on symmetry and geometry, for proteins. Using elementary ideas from mathematics and physics, we derive the geometries of discrete helices and sheets. We postulate a compatible solvent‐mediated emergent pairwise attraction that assembles these building blocks, while respecting their individual ...
Jayanth R. Banavar +4 more
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Ranking and serial thinking: A geometric solution
, 2023 AbstractA general mathematical description of the way the brain encodes ordinal knowledge of sequences is still lacking. Coherently with the well-established idea of mixed selectivity in high-dimensional state spaces, we conjectured the existence of a linear solution for serial learning tasks. In this theoretical framework, the neural representation of
Gabriele Di Antonio +2 more
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A pedagogical reflection on the interplay between variation and invariant: Variational thinking
Asian Journal for Mathematics Education, 2023 This commentary paper is a pedagogical reflection on the interplay between variation and invariant. It begins with a brief discussion on the concept of Unity of Opposites as an ancient philosophical theme.
Allen Leung
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Aristotle on Geometrical Potentialities [PDF]
, 2021 This paper examines Aristotle's discussion of the priority of actuality to potentiality in geometry at Metaphysics Θ9, 1051a21–33. Many scholars have assumed what I call the "geometrical construction" interpretation, according to which his point here ...
Iwata, Naoya
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Student perspectives on the relationship between a curve and its tangent in the transition from Euclidean Geometry to Analysis [PDF]
, 2008 The tangent line is a central concept in many mathematics and science courses. In this paper we describe a model of students’ thinking – concept images as well as ability in symbolic manipulation – about the tangent line of a curve as it has developed ...
Artigue M. +19 more
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Michel Serres, Topology and Folded Time in Christopher Nolan's Dunkirk
Film-Philosophy, 2022 This article discusses Michel Serres's topological thinking and his approach to space and time from a film studies perspective, specifically looking at connections between Serresian philosophy and the work of Christopher Nolan, using Dunkirk (2017) as an
Kevin Hunt
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