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Mother Tongue and Mathematics Instruction in Multilingual Contexts: An Quantitative Analysis of Teacher Cognition among Elementary-grade Teachers
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43 |
Developing a relational meaning of the equal sign: effects of using a balance analogy in a game-based virtual environment
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44 |
Connecting the “Real-World” to the Math Classroom: Implementing Professional Development for Mathematical Modeling
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In: Northwest Journal of Teacher Education (2022)
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45 |
Geometric cognition: a hub-and-spoke model of geometric concepts
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Abstract:
Geometric cognition is still poorly understood. Concerning pure geometry, it is basically terra incognita. In the present paper, we develop a tentative model of the neural representation of geometric concepts; for that we adopt an interdisciplinary approach bringing together elements of the history of geometry and the cognitive neuroscience of semantic cognition. Our interest is to develop a model of the neural representation of abstract geometric objects in the Euclidean practice. To arrive at a coherent model, it is necessary to consider earlier forms of geometry. For that, we address the change from practical to pure geometry, proposing models of the neural representations of geometric concepts for each of these practices. This will enable us to have an understanding of geometric objects in terms of a neural model and in relation to neural models of geometric figures. Our models are based on the hub-and-spoke theory. We will present a tentative model of the neural representation of geometric figures in ancient Greek practical geometry. We then propose a related model for the earliest form of pure geometry – that of Hippocrates of Chios. Finally, we develop the model of the neural representation of geometric objects in Euclidean geometry.
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Keyword:
Cognitive Science; Mathematics
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URL: http://philsci-archive.pitt.edu/20240/1/Geometric%20cognition-%20a%20hub-and-spoke%20model%20of%20geometric%20concepts.pdf http://philsci-archive.pitt.edu/20240/
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46 |
Children’s negotiation of meanings about geometric shapes and their properties in a New Zealand multilingual primary classroom
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47 |
Evaluation of the Availability and Utilization Status of Texts in Core Subjects in Primary Schools’ Libraries
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In: Library Philosophy and Practice (e-journal) (2022)
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48 |
Discourse in Inquiry Science Classrooms, DiISC Version 2.0 (User’s manual for an observation research instrument)
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In: Faculty Publications: Department of Teaching, Learning and Teacher Education (2022)
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49 |
Open Educational Resources in Action: 2022 UNT Open Access Symposium
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In: 2022 University of North Texas Open Access Symposium, March 8, 2022. Denton, Texas (2022)
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50 |
Inferring Inferences: Relational Propositions for Argument Mining
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In: Proceedings of the Society for Computation in Linguistics (2022)
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51 |
Why Menzerath's Law?
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In: Departmental Technical Reports (CS) (2022)
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52 |
Delivering on a Promise: A Longitudinal Cohort Study of Emergent Bilinguals' Academic Achievement in a Utah Dual Language Program
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In: All Graduate Theses and Dissertations (2022)
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54 |
A novel source-filter stochastic model for voice production
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In: ISSN: 0892-1997 ; Journal of Voice ; https://hal-upec-upem.archives-ouvertes.fr/hal-03179837 ; Journal of Voice, Elsevier, 2021, In Press, pp.1-11. ⟨10.1016/j.jvoice.2020.11.015⟩ (2021)
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55 |
Designing meta-resources for mathematics teachers in the context of curriculum reforms: the case of digital technology use and student autonomy in France
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In: ISSN: 1863-9690 ; EISSN: 1863-9704 ; ZDM ; https://hal.archives-ouvertes.fr/hal-03378201 ; ZDM, Springer Verlag, 2021, ⟨10.1007/s11858-021-01299-2⟩ (2021)
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56 |
Grounding, Quantifiers, and Paradoxes
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In: ISSN: 0022-3611 ; EISSN: 1573-0433 ; Journal of Philosophical Logic ; https://hal.archives-ouvertes.fr/hal-03187627 ; Journal of Philosophical Logic, Springer Verlag, 2021, 50, pp.1417-1448. ⟨10.1007/s10992-021-09604-w⟩ (2021)
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57 |
Argumentation of Prospective Mathematics Teachers in Fraction Tasks Mediated by an Online Assessment System With Automatic Feedback
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In: Eurasia Journal of Mathematics, Science and Technology Education ; https://hal.archives-ouvertes.fr/hal-03538861 ; Eurasia Journal of Mathematics, Science and Technology Education, 2021, 17 (12), pp.em2055. ⟨10.29333/ejmste/11425⟩ (2021)
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58 |
A precise bare simulation approach to the minimization of some distances. Foundations
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In: https://hal.archives-ouvertes.fr/hal-03278232 ; 2021 (2021)
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Constrained control of gene-flow models
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In: https://hal.archives-ouvertes.fr/hal-02373668 ; 2021 (2021)
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Enabling mathematical discourse for English learners during secondary mathematics lessons
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