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Mathematical Connections from a Networking of Theories between Extended Theory of Mathematical Connections and Onto-Semiotic Approach
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Rodríguez-Nieto, Camilo Andrés; Font Moll, Vicenç; Borji, Vahid; Rodríguez-Vásquez, Flor Monserrat – International Journal of Mathematical Education in Science and Technology, 2022
This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…
Descriptors: Semiotics, Mathematics Instruction, Theories, Problem Solving
Exploring Pre-University Students' Mathematical Connections When Solving Calculus Application Problems
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García-García, Javier; Dolores-Flores, Crisólogo – International Journal of Mathematical Education in Science and Technology, 2021
Mathematical connections play an important role in achieving mathematical understanding. Therefore, in this article, we report research whose objective was to identify mathematical connections that pre-university students make when they solve problems that involve the derivative and the integral. In this research, we consider a mathematical…
Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Concept Formation
Intra-Mathematical Connections Made by High School Students in Performing Calculus Tasks
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García-García, Javier; Dolores-Flores, Crisólogo – International Journal of Mathematical Education in Science and Technology, 2018
In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas,…
Descriptors: Foreign Countries, High School Students, Mathematics Skills, Calculus
Identifying and Exploring Relationships between Contextual Situations and Ordinary Differential Equations
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Camacho-Machín, M.; Guerrero-Ortiz, C. – International Journal of Mathematical Education in Science and Technology, 2015
The aim of this paper is to present and discuss some of the evidence regarding the resources that students use when they establish relationships between a contextual situation and an ordinary differential equation (ODE). We present research results obtained from work by seven students in a graduate level course in mathematics education, where they…
Descriptors: Equations (Mathematics), Mathematics Instruction, Graduate Students, College Science
Mexican High School Students' Social Representations of Mathematics, Its Teaching and Learning
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Martínez-Sierra, Gustavo; Miranda-Tirado, Marisa – International Journal of Mathematical Education in Science and Technology, 2015
This paper reports a qualitative research that identifies Mexican high school students' social representations of mathematics. For this purpose, the social representations of "mathematics", "learning mathematics" and "teaching mathematics" were identified in a group of 50 students. Focus group interviews were carried…
Descriptors: Foreign Countries, High School Students, Mathematics Instruction, Mathematical Concepts