Undergraduate mathematics instructors are called by many current standards to promote prospective teachers' learning of geometry from a transformation perspective, marking a change from previous standards. The novelty of this situation means it is unclear what is involved in undergraduate learning and teaching of geometry from a transformation…

Mathematical problem solving has been identified as one foundational area of mathematics for all students but is an area of weakness for students with disabilities. This investigation sought to determine the effects of peer-delivered schema-based instruction on the mathematical problem solving of the change problem type with four middle school…

In this article we detail a research study using the Instructional Quality Assessment (IQA) Rubrics (Boston, 2012) as the frame for a professional development with mathematics teachers in grades 3-8. We wanted to create a professional development around a tool that was typically used in research as a way to observe teachers, as a tool to use with…

Background: Algebra has traditionally been seen as a site of inequity and a gatekeeper for marginalized learners within both national and international studies. However, considerable research has shown that taking an asset-based approach in mathematics teaching improves learning for marginalized students, including Maori and Pasifika learners.…

Mathematics is crucial to the educational and vocational success of students. The concrete-representational-abstract (CRA) approach is a method to teach students mathematical concepts. The CRA involves instruction with manipulatives, representations, and numbers only in different lessons (i.e., concrete lessons include manipulatives but not…

The onset of COVID-19, along with its various mutations, has played havoc with many activities, not the least of which is education. For the majority of 2020 and 2021 in Australia, much of the teaching in both schools and universities was undertaken online, leading to a re-think of how learning and teaching might look in the future. This paper…

This research investigates the significance that the development of creativity in mathematics classes has for the preservice teachers from a master's program in secondary school teaching, who are not trained on how to develop creativity. In the master's final projects, preservice teachers reflect on their teaching practice at school and propose…

This study is conducted to further understand the direct and indirect contributions of executive functioning (visuospatial updating, verbal updating, inhibition, shifting) and arithmetic fluency to mathematical problem-solving in 458 fourth-grade students. Arithmetic fluency along with visuospatial and verbal updating were significant predictors…

During the past 20 years, numerous studies examining the use of problem posing in mathematics instruction have documented positive outcomes in terms of students' problem-solving skills, creativity, and attitudes and beliefs regarding the study of mathematics. However, despite these promising results, problem posing in mathematics instruction has…

What does it mean to have mathematical authority? How does it differ from pedagogical authority? We drew upon Goffman's (1981) ideas of author and animator to exemplify modes of mathematical authority that extend beyond the authorship of ideas. Through a series of excerpts from lessons in middle-grades mathematics classrooms, this paper emphasizes…

This paper is about the role and the potential of the history of mathematics in mathematics education. We report a discussion that we had about theoretical issues in this context, particularly about the notion of Otherness as developed by the French philosopher Emmanuel Levinas. The focus is on the reading of historical texts, both in the context…

This study uses the self-determination theory to explore how personal characteristics, motivation and learning environment influence students' attitudes toward the learning of mathematics. The study adopted a sequential mixed methods design, with 360 students from 24 schools, constituting the sample for the study. The results revealed that in…

This research explores the use of guided notes in a post-secondary calculus course and the extent to which use enhanced students' success in a first year calculus course. Guided notes have been previously shown to be perceived as helpful to learning by students, and one study showed that the use of guided notes improved pass rates in a first year…

Students in Manitoba have demonstrated a lower-than-average understanding of mathematics concepts. Two areas that contribute to this level of understanding are quality of instruction and math anxiety in students and teachers. Quality of instruction can be addressed through the intentional design of lessons around quality, deeper thinking tasks.…

Recent research suggests there is a lacking presence of assessment and its role in informing intentional teaching in the practice of play-based pedagogy. Formative assessment can be effectively embedded in pedagogy when practitioners are geared with practical tools that can be implemented within naturalistic settings. In recent times, there has…