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Anne-Cécile Mathé; Joris Mithalal – Educational Studies in Mathematics, 2025
Transitioning from material to theoretical geometry is often considered a significant challenge in compulsory education. Over the last twenty years, research rooted in the Theory of Didactical Situations (TDS) has explored how material geometry can support the teaching and learning of theoretical geometry, promoting continuity in teaching. These…
Descriptors: Mathematics Education, Geometric Concepts, Geometry, Mathematics Instruction
Pier Luigi Ferrari – For the Learning of Mathematics, 2024
The main aim of this paper is to propose a critical view of the application of Toulmin's model of argument to mathematics education, focusing on aspects that have strong teaching implications. It is claimed that Toulmin's description of arguments in mathematics, in particular as regards the relations between form and meaning, is misleading and out…
Descriptors: Persuasive Discourse, Mathematics Instruction, Teaching Methods, Language Usage
James S. Wolper – International Journal of Mathematical Education in Science and Technology, 2024
Adjusting the Calculus I curriculum by putting modelling and differential equations literally at its centre leads to a better-organised and better-motivated course. The biggest change is including a section on "qualitative" and "numerical" solutions to ordinary differential equations between the customary sections on…
Descriptors: Mathematics Instruction, Teaching Methods, Advanced Courses, Calculus
Terence Mills – Australian Mathematics Education Journal, 2024
Terence Mills introduces us to Keynsian probability and discusses its implications for teaching probability. The author considers it unlikely that Keynes's theory would replace how we teach probability, but argues that it may make us think more deeply about the use of terms such as chance and probability when used in our lessons.
Descriptors: Probability, Mathematics Instruction, Teaching Methods, Theories
Francesca Ferrara; Giulia Ferrari – Educational Studies in Mathematics, 2025
In this paper, we are interested in a dynamic vision of diagrams, focusing on their evocative power, their force in mathematical activity and their potential for interaction with mathematical objects. We are inspired by the work of C. S. Pierce to see diagrams as "inscriptions that organise space and articulate relations" and that of the…
Descriptors: Visual Aids, Mathematics Activities, Mathematics Education, Educational Philosophy
Li Zhang – International Journal of Mathematical Education in Science and Technology, 2024
We present an intriguing topic in a mathematical modelling course where Lanchester models are taught to our students. Lanchester models are some of the earliest and most important models used for combat modelling. We describe modelling activities and the use of technology that can be implemented in teaching this topic in this paper.
Descriptors: Mathematical Models, Equations (Mathematics), Simulation, Mathematics Instruction
Smith, Ethan P.; Kelly, Jennifer; Sappington, Susan; Warren, Kareemah; Jansen, Amanda – Mathematics Teacher: Learning and Teaching PK-12, 2023
Language is a conduit for communicating and understanding mathematical ideas. In this article, the authors describe how literacy relates to modes of reading, writing, speaking, and listening. They then share a strategy for supporting student literacy in mathematics--judicious telling--and provide examples of what this approach looks like in the…
Descriptors: Mathematics Education, Teaching Methods, Written Language, Oral Language
Francisco Regis Vieira Alves; Paula Maria Machado Cruz Catarino; Renata Passos Machado Vieira; Elen Viviani Pereira Spreafico – International Electronic Journal of Mathematics Education, 2024
The tradition of studies involving the combinatorial approach to recurring numerical sequences has accumulated a few decades of tradition, and several problems continue to attract the interest of mathematicians in several countries. This work specifically discusses the Fibonacci, Pell, and Jacobsthal sequences, focusing on Mersenne sequences. The…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Teachers, Problem Solving
Dharmanie A. Gamage; Gail B. Sylvester-Conrad; Nadia Johnny – Journal of College Academic Support Programs, 2024
Developmental mathematics courses play a critical role in ensuring that students have the foundational mathematical skills necessary to succeed in higher educational mathematics coursework. With the introduction of the corequisite format in recent educational reforms, there has been a growing trend towards transferring developmental mathematics…
Descriptors: College Students, Mathematics Instruction, Remedial Mathematics, Computer Assisted Instruction
Thorsten Scheiner; Nils Buchholtz; Gabriele Kaiser – Journal of Mathematics Teacher Education, 2024
This paper compares and contrasts two approaches that are widely used in the English- and German-speaking discourse on mathematics teacher knowledge: 'mathematical knowledge for teaching' and 'mathematics didactic knowledge'. It is proposed that these constructs are based on distinct theoretical and conceptual positions and origins. Mathematical…
Descriptors: Mathematics Instruction, Mathematics Teachers, Pedagogical Content Knowledge, Knowledge Level
Charalambous, Charalambos Y.; Agathangelou, Sofia A.; Kasapi, Evridiki; Christofidou, Elena – Journal of Mathematics Teacher Education, 2023
Over the past decade, teaching mathematics ambitiously has received increased attention. In this paper, we argue that to materialize this vision in contemporary classes we need to understand how practicing teachers experiment with certain aspects of this teaching and what challenges they encounter. Toward this end, we focus on an aspect of…
Descriptors: Mathematics Instruction, Teaching Methods, Experimental Teaching, Elementary School Teachers
Kissane, Barry – Australian Mathematics Education Journal, 2023
Informal Australian discussion suggests that calculators are still widely regarded as devices for calculation, consistent with their naming, and are rarely recognised as potentially helpful to support students learning mathematics. In this paper, Barry Kissane explores some of the ways in which modern calculators might support students learning…
Descriptors: Calculators, Numbers, Mathematics Instruction, Secondary School Students
Theorizing University Mathematics Teaching: The Teaching Triad within an Activity Theory Perspective
Potari, Despina; Jaworski, Barbara; Petropoulou, Georgia – Educational Studies in Mathematics, 2023
In this paper, we draw on our recent research to inspect again some of the theoretical perspectives we have been using to analyze data and to characterize teaching-learning in university settings. We focus particularly, within a sociocultural perspective on Activity Theory and the construct the "Teaching Triad," seeking to embed the…
Descriptors: Educational Theories, College Instruction, Mathematics Instruction, Learning Activities
Anna Wallin; Paola Valero; Eva Norén – For the Learning of Mathematics, 2025
Drawing on research in the context of Swedish school-age educare and adopting a post-humanist theoretical--methodological approach, we put forward the notion of mathemat-ing to conceptualise mathematical events that emerge in out-of-school configurations of practice. In them, ethical sensibilities as affects of engagement and rejection may be…
Descriptors: Ethics, Mathematics Instruction, Child Care, Foreign Countries
Hoseana, Jonathan – International Journal of Mathematical Education in Science and Technology, 2021
It is well known that there is a unique circle passing through three specified points if and only if they are non-collinear. We show that there is also a unique circle passing through the endpoints of diameters of three specified circles if and only if they have non-collinear centres.
Descriptors: Teaching Methods, Mathematics Instruction, Geometry, Secondary School Students