This theoretical article explores the affordances and challenges of Euler diagrams as tools for supporting undergraduate introduction-to-proof students to make sense of, and reason about, logical implications. To theoretically frame students' meaning making with Euler diagrams, we introduce the notion of logico-spatial linked structuring (or…

The gold-standard evaluation of an educational technology product is a randomized study comparing students randomized to use a computer-based learning platform (CBLP) to students assigned to a "business as usual" condition, such as pencil-and-paper work, and estimating average treatment effects. However, not everyone uses the same CBLP…

The study aimed at improving students' algebraic thinking ability in the eighth-grade junior high school student through multiple representation strategies using realistic approach. The multiple representation strategies consist of orientation, exploration, internalization, and evaluation. This is a quasi-experimental study with nonrandomized…

At the start of mathematics education children are often presented with addition and subtraction problems in the form of pictures. They are asked to solve the problems by filling in corresponding number sentences. One type of problem concerns the representation of an increase or a decrease in a depicted amount. A decrease is, however, more…

Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…

Educational digital escape games (EDEGs) are digital versions of escape rooms where players solve puzzles and complete challenges to achieve educational goals. This study investigates the effects of EDEGs on the academic achievement and motivation of elementary school students in mathematics. Using an explanatory sequential mixed-method design, 45…

Background/purpose: This study aims to examine the impact of prospective mathematics teachers' metacognitive awareness on their perceptions and applications of ChatGPT in problem-solving processes. The research investigates how these prospective mathematics teachers perceive and utilize ChatGPT, focusing on the relationship between their…

Learning interaction patterns is key to the explanation of learning outcomes. Different studies have reported the relationship between classroom process variables and learning outcomes in a traditional classroom setting. However, the advent of robotics and its attendant student-robot interaction moderated by students' mathematical ability is yet…

The development of high levels of mathematical competence at an early age is a good predictor of academic success at higher levels of the education system. In this sense, the initial training of primary school teachers and, in particular, the achievement of high levels of self-regulation when solving mathematical problems is crucial to achieve…

This article explores inquiry-based learning (IBL) pedagogy, particularly in mathematics education, examining how it differs from problem-based learning (PBL) and case-based learning (CBL). IBL is defined as a student-centered approach involving sequenced problems or tasks that build engagement and understanding through group work. While IBL, PBL,…

In the rapidly evolving interdisciplinary field of quantum information science and technology, a major obstacle is the need to understand advanced mathematics to solve complex problems. Current findings in educational research suggest that incorporating visualizations into problem-solving settings can have beneficial effects on students'…

In this paper we present a professional development course designed to impact on teachers' mathematical knowledge for teaching fractions. The main features of the course are the use of i) problem solving activities related with mathematical knowledge for teaching fractions ii) peer discussions and iii) monitor's interventions focused on answering…

This article proposes a practical method of teaching the addition of unit fractions using a series of mirror equation experiments.

This article elaborates a new direction for studying the construction of novel strategies that enables researchers to model the conceptual underpinnings of students' observable strategic actions during episodes of mathematical problem solving. The nature of the relationship between conceptual and procedural knowledge has been persistently debated…

Little research in the field of Mathematics Education is directed towards emotions of students beyond their emotions in problem-solving. In particular, the daily emotions of students in a mathematics class have been sparsely studied in the field of mathematics education. In order to fill this gap, this qualitative research aims to identify high…