Semantic Density of physical-mathematics structures and the approach to mathematics in teaching physics
This research presents new perspectives for the approach of Mathematics in Physics teaching. It is argued that physical-mathematical structures, such as F⃗ = ma⃗, for example, condense nominal, conceptual and relational meanings. The first ones would be associated with symbolic representation, the s...
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Asociación de Profesores de Física de la Argentina
2022
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| Acceso en línea: | https://revistas.unc.edu.ar/index.php/revistaEF/article/view/39733 |
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I10-R316-article-397332023-09-12T17:03:18Z Semantic Density of physical-mathematics structures and the approach to mathematics in teaching physics Densidade semântica de estruturas físico-matemáticas e a abordagem da matemática no ensino de física Bocheco, Otávio Souza Cruz, Frederico Firmo Silva Livramento Machado, Sandro da Mathematics in Physics Semantics Semantic Density Structuring Approach Theory of Legitimacy Codes Matemática na Física Semântica Densidade Semântica Abordagem Estruturante Teoria dos Códigos de Legitimação This research presents new perspectives for the approach of Mathematics in Physics teaching. It is argued that physical-mathematical structures, such as F⃗ = ma⃗, for example, condense nominal, conceptual and relational meanings. The first ones would be associated with symbolic representation, the second with the physical concepts that the symbols express and the third ones with the physical- mathematical relationships, in which symbols and concepts are intertwined, in the structure or derivations kind of a⃗ = F⃗ m . Such meanings would be endowed with a semantic complexity, so that their intertwining would strengthen such complexity, generating what is called Semantic Density (SD). A concept of the Semantic dimension of Karl Maton's Legitimation Code Theory and which concerns the degree of condensation with which meanings are related within symbols. The more intertwined meanings, the greater the semantic complexity and the stronger the DS. The DS concept proposes three types of approaches to Mathematics in Physics teaching: the technical, structuring, and hybrid approach. Esta pesquisa apresenta novas perspectivas para a abordagem da Matemática no ensino de Física. Defende-se, que estruturas físico-matemáticas, como F⃗ = ma⃗, por exemplo, condensam significados nominais, conceituais e relacionais. Os primeiros estariam associados a representatividade simbólica, os segundos aos conceitos físicos que os símbolos expressam e os terceiros subjacentes as relações físico-matemáticas, nas quais símbolos e conceitos se entrelaçam, na estrutura ou derivações da mesma, tipo a⃗ = F⃗ m . Tais significados seriam dotados de uma complexidade semântica, de modo que o entrelaçamento deles fortaleceria tal complexidade, gerando o que se denomina de Densidade Semântica (DS). Um conceito pertencente a dimensão Semântica da Teoria dos Códigos de Legitimação de Karl Maton e que diz respeito ao grau de condensação com que os significados estão relacionados dentro de símbolos.Quanto mais significados entrelaçados, maior a complexidade semântica, consequentemente, mais forte a DS. Tangente ao conceito de DS, propõe-se três tipos de abordagem para a Matemática no ensino de Física; as abordagens técnica, estruturante e híbrida. Asociación de Profesores de Física de la Argentina 2022-12-21 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.unc.edu.ar/index.php/revistaEF/article/view/39733 Journal of Physics Teaching; Vol. 34: Extra Issue: Selection of papers submitted to SIEF; 47-54 Revista de Enseñanza de la Física; Vol. 34: Número Extra: Selección de Trabajos presentados a SIEF; 47-54 Revista de Enseñanza de la Física; v. 34: Edição extra: Seleção de artigos enviados ao SIEF; 47-54 2250-6101 0326-7091 por https://revistas.unc.edu.ar/index.php/revistaEF/article/view/39733/39867 http://creativecommons.org/licenses/by-nc-nd/4.0 |
| institution |
Universidad Nacional de Córdoba |
| institution_str |
I-10 |
| repository_str |
R-316 |
| container_title_str |
Revista de Enseñanza de la Física |
| language |
Portugués |
| format |
Artículo revista |
| topic |
Mathematics in Physics Semantics Semantic Density Structuring Approach Theory of Legitimacy Codes Matemática na Física Semântica Densidade Semântica Abordagem Estruturante Teoria dos Códigos de Legitimação |
| spellingShingle |
Mathematics in Physics Semantics Semantic Density Structuring Approach Theory of Legitimacy Codes Matemática na Física Semântica Densidade Semântica Abordagem Estruturante Teoria dos Códigos de Legitimação Bocheco, Otávio Souza Cruz, Frederico Firmo Silva Livramento Machado, Sandro da Semantic Density of physical-mathematics structures and the approach to mathematics in teaching physics |
| topic_facet |
Mathematics in Physics Semantics Semantic Density Structuring Approach Theory of Legitimacy Codes Matemática na Física Semântica Densidade Semântica Abordagem Estruturante Teoria dos Códigos de Legitimação |
| author |
Bocheco, Otávio Souza Cruz, Frederico Firmo Silva Livramento Machado, Sandro da |
| author_facet |
Bocheco, Otávio Souza Cruz, Frederico Firmo Silva Livramento Machado, Sandro da |
| author_sort |
Bocheco, Otávio |
| title |
Semantic Density of physical-mathematics structures and the approach to mathematics in teaching physics |
| title_short |
Semantic Density of physical-mathematics structures and the approach to mathematics in teaching physics |
| title_full |
Semantic Density of physical-mathematics structures and the approach to mathematics in teaching physics |
| title_fullStr |
Semantic Density of physical-mathematics structures and the approach to mathematics in teaching physics |
| title_full_unstemmed |
Semantic Density of physical-mathematics structures and the approach to mathematics in teaching physics |
| title_sort |
semantic density of physical-mathematics structures and the approach to mathematics in teaching physics |
| description |
This research presents new perspectives for the approach of Mathematics in Physics teaching. It is argued that physical-mathematical structures, such as F⃗ = ma⃗, for example, condense nominal, conceptual and relational meanings. The first ones would be associated with symbolic representation, the second with the physical concepts that the symbols express and the third ones with the physical- mathematical relationships, in which symbols and concepts are intertwined, in the structure or derivations kind of a⃗ = F⃗ m . Such meanings would be endowed with a semantic complexity, so that their intertwining would strengthen such complexity, generating what is called Semantic Density (SD). A concept of the Semantic dimension of Karl Maton's Legitimation Code Theory and which concerns the degree of condensation with which meanings are related within symbols. The more intertwined meanings, the greater the semantic complexity and the stronger the DS. The DS concept proposes three types of approaches to Mathematics in Physics teaching: the technical, structuring, and hybrid approach. |
| publisher |
Asociación de Profesores de Física de la Argentina |
| publishDate |
2022 |
| url |
https://revistas.unc.edu.ar/index.php/revistaEF/article/view/39733 |
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