The aim of the study is to examine how lesson study activities affect primary school preservice teachers' noticing of students' misconceptions. A qualitative research approach was adopted and action research method was used. The study was conducted with 9 primary school preservice teachers. The data were obtained from the observation form, video…

The student population is rapidly becoming culturally diverse. Math teachers are struggling to provide instruction responsive to student's cultural and linguistic strengths, which is the problem addressed in this study. The purpose of this interpretive phenomenological study was to explore the lived experiences of math teachers who instruct…

A central aspect of reform-minded mathematical teaching is training and developing teachers' ability to notice vital aspects in the classroom and more specifically, students' mathematical thinking. As there is an abundance of evidence and research that support the benefits for teachers to elicit and use students' ideas and thinking during…

Reducing learning time or training time in intelligent tutors is a challenging research problem. In this study, we aim to reduce training time while maintaining student performance in intelligent tutors. We propose a Deep Reinforcement Learning (DRL) based method to determine when students need more training and when they don't. We design an…

Recent developments in Augmented Reality (AR) headset technologies have allowed for users to see and manipulate the same 3D hologram at the same time, allowing for collaborative, embodied interactions using gestures and actions. Three-dimensional geometry has traditionally been taught largely through 2D projections of 3D figures on pages or…

We present a so-called 'study and research path', designed for advanced high school teaching in the context of a master's thesis project, along with an outline of the mathematical and didactic background. The aim of the paper is to present and discuss an adaptation of Chevallard's 'paradigm of questioning the world' to currently prevailing…

The article shows that even a small number of iterations give a very large length of the Koch Curve. The overall purpose of this work is to show that even a small number of iterations can give a very complex fractal structure. In this case it is the very big length of Koch's curve. As examples, the distance from the Earth to the Moon and from the…

Finding ways for students to use manipulatives in a safe, yet collaborative, manner is a challenge the 2020-2021 school year introduced. Teachers scrambled to create a set of manipulatives for individual use on a budget so students could learn from home, in hybrid environments, or in socially distanced classrooms. This article presents a…

In this study, we present a mathematical analysis distinguishing two conceptions of equivalence: "proportional equivalence" and "unit equivalence." These two conceptions have distinct meanings in relation to equivalent fractions: one is grounded in proportionality, while the other is grounded in equal wholes. We argue that (a)…

This article recounts the life of mathematician Leonhard Euler and discusses the use of Graph Theory in student learning.

Getting the right answers in maths is only half the problem. Understanding why what you're doing works is the part that often stumps students and teachers alike. The essential guide for mathematics teachers and those training to teach, "Yes, but Why?" answers all your questions, and sheds light on the hidden connections between…

In this edition's Discovery, the problem of interpreting the term "mean" is discussed with examples of the different kinds of mean. Mathematics teachers should therefore use the term "arithmetic mean" when introducing measures of central tendency in statistics. Some various definitions of the term "average" and sports…

Why do honeycomb cells have hexagonal openings? This is a problem of antiquity. More than 2000 years ago, Greek scholars referred to "the geometrical forethought" of bees in constructing the most efficient structure to hold honey. In this article, the author determines the exact size of the trihedral angle, and provides insight as to why…

Incorporating technology into educational processes is increasingly necessary to address the complexities of contemporary learning environments. This study investigates the impact of Augmented Reality (AR) on the academic performance of third-grade students in the areas of graphs and geometry. A quasi-experimental design was employed, comparing a…

Mathematical spaces often reinforce and perpetuate whiteness. Despite efforts to decenter whiteness in secondary and post-secondary classrooms, equity-oriented strategies can still perpetuate whiteness. In this action research study, I turned the lens of whiteness upon my instructional practices and curriculum. Using an analytic framework for…