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Fereshteh Zeynivandnezhad; Ramón Emilio Fernández; Yudariah binti Mohammad Yusof; Zaleha binti Ismail – International Electronic Journal of Mathematics Education, 2025
This study explores the effects of a computer algebra system on students' mathematical thinking. Mathematical thinking is identified with mathematical thinking powers and structures. We define mathematical thinking as students' capacity to specialize and generalize their previous knowledge to solve new mathematical problems. The study was…
Descriptors: Algebra, Computer Uses in Education, Mathematical Logic, Thinking Skills
Alarfaj, Maryam; Sangwin, Chris – Teaching Mathematics and Its Applications, 2022
The current study aims to explore the impact of the two-column format in writing simple mathematical arguments. That is to say, a structured method of presenting a mathematical proof or argument by using a tabular layout with two columns. The underlying goal of the research reported in this paper is to inform understanding of how to effectively…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Calculus
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
Julius, Rafael; Halim, Muhammad Syawal Abd; Hadi, Normi Abdul; Alias, Azrul Nizam; Khalid, Muhammad Hafiz Mohd; Mahfodz, Zulfadli; Ramli, Fariesha Farha – EURASIA Journal of Mathematics, Science and Technology Education, 2021
This study presents a bibliometric analysis of research on mathematics education from 1980 through 2020. The purpose of the study is to provide scientific data on the distribution pattern of mathematics education journals, the most prolific authors, countries, institutions, current research topics, potential international collaboration, and…
Descriptors: Bibliometrics, Mathematics Education, Databases, Algebra
Campbell, Tye G.; Zelkowski, Jeremy – International Journal for Technology in Mathematics Education, 2020
Proof and argumentation are essential components of learning mathematics, and technology can mediate students' abilities to learn. This systematic literature review synthesizes empirical literature which examines technology as a support for proof and argumentation across all content domains. The themes of this review are revealed through analyzing…
Descriptors: Computer Uses in Education, Computer Software, Intelligent Tutoring Systems, Mathematical Logic
Moru, Eunice Kolitsoe – African Journal of Research in Mathematics, Science and Technology Education, 2020
The derivative is a central concept in calculus and has applications in many disciplines. This study explored students' understanding of derivatives with a particular focus on the graphical (geometric) representation. The participants were four Mathematics Honours students from a university in Lesotho. Data were generated from the written…
Descriptors: Foreign Countries, Mathematics Instruction, Calculus, Mathematical Concepts
Frank, Kristin; Thompson, Patrick W. – ZDM: Mathematics Education, 2021
Researchers have been interested in students' transition to calculus since the early 1900s. One line of inquiry highlights students' understandings of high school mathematics as impeding or supporting their successful transition to university mathematics. This paper addresses an underlying question in this line of inquiry: does school mathematics…
Descriptors: Mathematics Instruction, Calculus, High School Students, Secondary School Mathematics
Pawlaschyk, Thomas; Wegner, Sven-Ake – International Journal of Mathematical Education in Science and Technology, 2020
In this note, we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task design that gives students the opportunity to conjecture, refute and prove. What is new is that the complexity in our problems is limited and thus the tasks can also be used in homework…
Descriptors: Homework, Mathematics Instruction, Teaching Methods, Calculus
Moala, John Griffith – Mathematics Education Research Group of Australasia, 2018
This paper addresses the need for empirical research on the processes by which students create algorithms. I analyse the collaborative work of three high-school students on a contextualised graph theory task, in which they created an algorithm for maximising the happiness score of a seating arrangement. The group found an optimal arrangement but…
Descriptors: Mathematics, Group Activities, Graphs, Foreign Countries
Cetina-Vázquez, Melby; Cabañas-Sánchez, Guadalupe; Sosa-Moguel, Landy – International Journal of Education in Mathematics, Science and Technology, 2019
This study characterizes the classroom mathematical practices that support the collective mathematical progress during the treatment of a quadratic function in an Introductory Calculus course comprised of 15 students from eleventh grade (from 16 to 18 years old). A teaching experiment that discussed two variational situations was designed for the…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Teaching Methods
Hartati, Sulis Janu; Vitianingsih, Anik Vega; Kurniati, Neny; Sulistyowati; Muhajir – International Education Studies, 2020
This paper examines the limited proficiency to engage in programming algorithms among university students in information technology and information system in several universities across Surabaya, Indonesia. The purpose of this research is to find the most influential factor in learning programming algorithm using a quantitative approach. The…
Descriptors: Mathematics Skills, Thinking Skills, Programming, Information Technology
Rodriguez, Jon-Marc G.; Bain, Kinsey; Towns, Marcy H.; Elmgren, Maja; Ho, Felix M. – Chemistry Education Research and Practice, 2019
Graphical representations are an important tool used to model abstract processes in fields such as chemistry. Successful interpretation of a graph involves a combination of mathematical expertise and discipline-specific content to reason about the relationship between the variables and to describe the phenomena represented. In this work, we…
Descriptors: Mathematics Instruction, Mathematical Logic, Integrated Curriculum, Student Attitudes
Bergwall, Andreas; Hemmi, Kirsti – Mathematical Thinking and Learning: An International Journal, 2017
Students' difficulties with proof, scholars' calls for proof to be a consistent part of K-12 mathematics, and the extensive use of textbooks in mathematics classrooms motivate investigations on how proof-related items are addressed in mathematics textbooks. We contribute to textbook research by focusing on opportunities to learn proof-related…
Descriptors: Foreign Countries, Comparative Education, Textbook Content, Mathematical Logic
Swidan, Osama – International Journal of Mathematical Education in Science and Technology, 2020
This study sets for itself the task of constructing a learning trajectory for the fundamental theorem of calculus (FTC) that takes into account the interaction with an educational digital tool. Students were asked to explain the connections between interactive and multiple-linked representations in an educational digital tool, and to conjecture…
Descriptors: Calculus, Mathematics Instruction, Validity, Mathematical Logic
Sedaghatjou, Mina – International Journal of Mathematical Education in Science and Technology, 2018
This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access…
Descriptors: Mathematics Instruction, Advanced Courses, Foreign Countries, Visual Impairments