Results 11 to 20 of about 1,186,586 (288)
Geometric reasoning via internet CrowdSourcing [PDF]
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, 2009 The ability to interpret and reason about shapes is a peculiarly human capability that has proven difficult to reproduce algorithmically. So despite the fact that geometric modeling technology has made significant advances in the representation, display and modification of shapes, there have only been incremental advances in geometric reasoning.
Jagadeesan, A. P. +7 more
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Geometric Reasoning in the Embedding Space
Machine Learning and Knowledge ExtractionWhile neural networks can solve complex geometric problems, as demonstrated by systems like AlphaGeometry, we have limited understanding of how they internally represent and reason about spatial relationships.
David Mojžíšek +4 more
doaj +5 more sources
Developing geometrical reasoning [PDF]
, 2004 This paper summarises a report (Brown, Jones & Taylor, 2003) to the UK Qualifications and Curriculum Authority of the work of one geometry group. The group was charged with developing and reporting on teaching ideas that focus on the development of geometrical reasoning at the secondary school level.
Brown, Margaret +3 more
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The statistical shape of geometric reasoning. [PDF]
Sci Rep, 2018 Abstract Geometric reasoning has an inherent dissonance: its abstract axioms and propositions refer to perfect, idealized entities, whereas its use in the physical world relies on dynamic perception of objects. How do abstract Euclidean concepts, dynamics, and statistics come together to support our intuitive geometric reasoning? Here,
Hart Y +5 more
europepmc +4 more sources
A language for geometric reasoning in mobile robots
Proceedings 1999 IEEE Symposium on Visual Languages, 1999 Isaac is a rule-based language for mobile robots currently under development at NMSU. A successor to Altaira, it replaces Altaira's state-based rules and tile-based navigation with a more general geometric reasoning mechanism. The language uses the FuzzyCLIPS expert system shell as a reasoning backend.
Jr., Joseph J. Pfeiffer
openaire +3 more sources
Diagrams, Tensors and Geometric Reasoning [PDF]
Discrete & Computational Geometry, 2009 It has been known since a long time that tensor calculus can be used for dealing with problems of projective geometry. The explicit calculations tend to become rather involved and are rarely used in the current literature. The authors report on a method, originally developed by James Blinn, for a diagrammatic representation of tensor calculations. This
Jürgen Richter-Gebert, Peter Lebmeir
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Configural Reasoning and Geometric Workspace in the Proof's Problem Resolution [PDF]
, 2020 The transition from the first justifications of geometric properties in the school environment to the mathematic proof in a deductive context is an issue widely studied.
Juan Prior Martínez (8742960) +1 more
core +2 more sources
Framework for analysing secondary mathematics teachers’ development of geometric reasoning [PDF]
, 2022 Developing geometric reasoning is an important aim of school mathematics. Some influential theoretical frameworks have been used to map progress in geometric reasoning among learners and teachers internationally.
Adler, Jill +3 more
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Geometric transformations through quantitative reasoning
, 2023 In this chapter, we provide a conceptual analysis of the concept of isometry (translation, rotations, reflections) as it pertains to quantitative reasoning (QR).
Karagöz Akar, Gülseren +3 more
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Exploration of Creative Mathematical Reasoning in Solving Geometric Problems [PDF]
, 2020 Reasoning that is constructed from remembering is imitative reasoning, while the opposite is creative reasoning. This study aims to explore creative mathematical reasoning in solving geometric problems.
Masfingatin, Titin +5 more
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