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Showing 1 to 15 of 33 results Save | Export
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Thabiso Khemane; Pragashni Padayachee; Corrinne Shaw – International Journal of Mathematical Education in Science and Technology, 2023
This article explores the conceptual challenges that engineering students encounter with double integrals in a vector calculus course. Drawing on previous literature and utilising APOS (Activity- Process- Objects- Schema) as a theoretical framework, this study investigates the difficulties that students face in understanding and applying double…
Descriptors: Mathematical Concepts, Calculus, Learning Strategies, Engineering Education
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Gulkilik, Hilal – International Journal of Mathematical Education in Science and Technology, 2022
The purpose of this study was to investigate university students' conceptions of the definite integral in the process of finding the volume of a solid of revolution. The participants were four students enrolled in a university calculus course in Turkey. Data were obtained by task-based interviews, in which the participants had to work on a problem…
Descriptors: Calculus, Problem Solving, Mathematical Concepts, College Students
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Brian John Winkel – International Journal of Mathematical Education in Science and Technology, 2024
We present a complete, soup to nuts, modeling activity of a falling column of water. Many colleagues have used this material in teaching applications of first order separable differential equations. We describe how the material can be presented with students collecting their own data from online videos. One can then either offer the differential…
Descriptors: Calculus, Learner Engagement, Video Technology, Mathematical Concepts
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Dogan, Hamide; Shear, Edith; Contreras, Angel F. Garcia; Hoffman, Lion – International Journal of Mathematical Education in Science and Technology, 2022
We investigated understanding of the linear independence concept based on the type and nature of connections displayed in seven non-mathematics majors' interview responses to a set of open-ended questions. Through a qualitative analysis, we identified six categories of frequently displayed connections. There were also recognizable differences in…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Undergraduate Students
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Rabiei, Nima; Saleeby, Elias G. – International Journal of Mathematical Education in Science and Technology, 2022
In the multivariable calculus course, a standard application of triple integration is to find volumes of bounded regions in R[superscript 3]. In this article, we consider the problem of computing volumes, by way of examples, of regions bounded by planes and quadric surfaces. For illustration, we present the solution to two basic but non-standard…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Calculus
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Gencev, Marian; Šalounová, Dana – International Journal of Mathematical Education in Science and Technology, 2023
The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…
Descriptors: Teaching Methods, Mathematics Instruction, Problem Solving, Geometric Concepts
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Alajmi, Amal Hussain; Al-Kandari, Maryam Mohammed – International Journal of Mathematical Education in Science and Technology, 2022
This article reports on a study of Kuwaiti college students' knowledge about the concept of functions. It also shows the connections these students make between different representations of functions. The results indicated that most students (96%) were unable to provide a definition of a function and only a third could provide examples of a…
Descriptors: Foreign Countries, College Students, Mathematical Concepts, Calculus
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Ala' J. Alnaser; Justin Hoffmeier – International Journal of Mathematical Education in Science and Technology, 2024
Differential equations are widely used tools for modelling the world around us, making a course in differential equations a natural place for students to connect concrete mathematical applications to abstract concepts. Since students grasp the concepts better by applying them, introducing differential equations through modelling becomes essential.…
Descriptors: Mathematics Instruction, Mathematical Models, Advanced Courses, Mathematical Concepts
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Wares, Arsalan; Valori, Giovanna – International Journal of Mathematical Education in Science and Technology, 2021
In this note we describe the mathematics that emerges from the construction of an origami box. We first construct a simple origami box from two rectangular sheets and then discuss some of the mathematical questions that arise in the context of algebra, geometry and calculus.
Descriptors: Mathematics Instruction, Geometry, Algebra, Calculus
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Avcu, Seher; Biber, Belma Türker – International Journal of Mathematical Education in Science and Technology, 2022
In this study, the conceptualizations used by prospective middle school mathematics teachers when defining, representing, and exemplifying the slope concept and relating it with other mathematical situations were examined. Participants' conceptualizations were identified by Nagle, C., Moore-Russo, D., Viglietti, J., & Martin, K. [(2013).…
Descriptors: Foreign Countries, Preservice Teachers, Mathematics Teachers, Middle School Teachers
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Bansilal, Sarah; Mkhwanazi, Thokozani Wiseman – International Journal of Mathematical Education in Science and Technology, 2022
The concept of the limit is often experienced as a very abstract concept. In this study we explore the understanding of the concept of the limit with 74 students who are prospective high school mathematics teachers. The study is located within the first of three calculus courses which they study as part of their bachelor's degree in education at a…
Descriptors: Preservice Teachers, Mathematical Concepts, Concept Formation, High School Teachers
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Hogue, Mark; Scarcelli, Dominic – International Journal of Mathematical Education in Science and Technology, 2022
Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Maria Fahlgren; Mats Brunström – International Journal of Mathematical Education in Science and Technology, 2025
This paper provides some insights into the use of example-generating tasks in the design of a technology-rich learning environment to enhance students' mathematical thinking. The paper reports on an early stage of a design-based research project concerning the design of tasks and associated feedback utilising the affordances provided by a combined…
Descriptors: Mathematics Instruction, Educational Technology, Technology Uses in Education, Computer Software
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Hoban, Richard A. – International Journal of Mathematical Education in Science and Technology, 2021
Many students do not have a deep understanding of slope. This paper defines what a deep understanding of slope is in terms of mathematics-education theory. The various factors which help explain why such a deep understanding is difficult to acquire are then discussed. These factors include the following: the different representations for slope;…
Descriptors: Mathematical Concepts, Concept Formation, Mathematics Instruction, College Freshmen
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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
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