The spaces we inhabit and the physical communities in which we learn all affect how we come to experience the world, construct what mathematics is to us, and develop how we teach mathematics. In this theory-to-practice article, we discuss why explicitly considering spatial ways of knowing is important in mathematics teacher education. We begin by…

This study aimed to contribute to the literature by focusing on the effects of the negotiations of sociomathematical norms perceived by students on mathematical process skills. Problem-based mathematical activities were implemented in the seventh grade from a public secondary school in Turkey over a ten-week period in the second semester. The data…

Quadratic equations are a notorious topic for the challenge it provides to students in secondary mathematics. Despite this, there is limited research, particularly in the Australian context, that explains why such challenges persist. This article details the causes of Year 11 students' difficulties in solving quadratic equations. Observing…

The Modelling Dance task is a mathematical modelling task that explores the relationship between mathematics and dance. The authors share the task sequence, adaptations made to support virtual implementation, and evidence of student learning related to learning goals.

A rigorous and axiomatic-deductive approach is emphasized in teaching mathematics at university-level. Therefore, the secondary-tertiary transition includes a major change in mathematical thinking. One viewpoint to examine such elements of mathematical thinking is David Tall's framework of the three worlds of mathematics. Tall's framework…

Increasingly individuals with Intellectual Disability (ID) are showing the capability of learning abstract mathematical skills like algebra. The purpose of the study was to show a method for teaching high school-aged individuals with ID the algebra skill of creating an equation from a line using a time-delay strategy and equation template. We…

Undeniably omnipresent in our everyday lives, electronic signal compression is a classical example that illustrates the ubiquity of mathematics in high-end technology and sciences. When dealing with piles of files, it is essential that each file takes up as little storage space as possible while maintaining quality. The cloud-based--available…

This study explores how hard of hearing students decided whether the shape was a polygon and which semiotic sources were used when the students engaged in explaining geometrical concepts. It was defined how the students interacted with geometric shapes using semiotic sources and examined how such multimodal interactions with geometric figures…

Many students are becoming increasingly disengaged in school, particularly in mathematics. This is an important problem as lack of engagement may threaten students' achievement and performance in mathematics. A flipped learning pedagogy, which encourages students to take an active role in learning mathematics, has become a widely researched topic…

The purposes of the study were 1) to investigate the effectiveness of the applied cooperative learning and Polya's problem-solving process on grade 9 students' mathematical problem-solving ability, 2) to compare grade 9 students' learning achievement before and after learning through the applied cooperative learning and Polya's problem-solving…

In this paper we present a theoretical discussion on how problems issued from discrete mathematics can develop the attitudes, skills, and knowledge required for scientific mathematical activity in the classroom. We do so via the research situation for the classroom model by performing mathematical and didactical analyses of a problem issued from…

There is a widespread conviction in research on teacher education that practicum contributes to the development of student teachers' inner qualities. This article presents a systematic review of empirical research articles on teacher affect, identities, and conceptions of mathematics, based on 87 publications from 2001-2021. Becoming a teacher is…

This work is part of an investigation conducted in Italy, which aims to explore the effects of instruction on secondary school students' combinatorial reasoning. We gave a questionnaire adapted from Navarro-Pelayo's research to two groups of students with and without instruction on combinatorics in order to analyse the students' performances and…

This article discusses the meanings of mathematics teaching forged in the reflections promoted in a lesson study. Guided by the question "What meanings of teaching in mathematics are constructed from reflections promoted in a lesson study?" and based on Isabel Alarcão's (2018) concept of teaching, we examined four editions of a lesson…

Learners in the 21st century need technological support in the learning process because of the advancements made in technology for teaching and learning. A GeoGebra-oriented classroom uses one of these technologies that can be implemented in the classroom. The new developed cycle model implemented in the study and explored the effect of using…