Research on mathematics teacher curricular decision-making has focused more on what decisions teachers make and less on how teachers make curricular decisions. Teaching images are a well-known concept in teacher education as a form of teachers' practical knowledge (PK) and threads that connect teachers' past experiences to action in the present…

This paper investigates the phenomenon of compartmentalisation of knowledge in the teaching and learning of continuous probability distributions and integral calculus at the secondary-tertiary transition in France. Using the Anthropological Theory of the Didactic (ATD), and in particular the key notion of praxeology, we investigate in which sense…

In high school, unit discs were all circular. Squares and diamonds were added to the list of shapes in a Real Analysis course and although more bizarre shapes appeared in graduate school, the list of possible shapes didn't appear endless. In this note, we'll show that unit discs can have almost any shape imaginable.

Describing mathematics classroom teaching and learning is part of a professional expertise. Comparing 'our distinct stories' and 'our professional languages' about teaching and learning in mathematics classes around the world, reveals cultural and linguistic underpinnings of our 'stories' and 'languages'. Analysing and understanding these…

The short activity presented in this article continues a discussion related to the value of golden ratio explorations in secondary mathematics, and acts as a companion to the earlier paper in this journal (Crawley, 2023). Exploring meaningful ways in which teachers can elicit students' interest and engagement in mathematics is vital, and…

Teaching towards big ideas provide opportunities for teachers to think deeply about content and pedagogy in order to support their students to see connections in mathematics. However, teachers may not always activate or mobilise their knowledge in classroom situations. This paper looks into how a teacher, Peter, think about the tasks in his…

This study investigated the effectiveness of four Digitalized Interactive Components (DICs) designed based on cognitive principles to accommodate individual differences among students with learning difficulties in geometry during computer-based assessments. The four DICs were annotations (allowing students to make notes on the screen), pop-up…

This study reviewed papers in the Web of Science database from 2010 to 2020, which were relevant to the integration of the dynamic geometric software, GeoGebra, into mathematics education with a focus on publication trends, research methods, participants, application domains, learning strategies, and research issues. It was found that there have…

The purpose of this quantitative correlational study was to determine if, and to what extent, a relationship existed between teachers' perceptions of their evaluator's instructional leadership and the teachers' evaluation scores at the middle and high school levels in one Florida school district. Ozcan's theory of teacher motivation states that…

As highlighted in the literature, one of the main difficulties in mathematics is the management of different semiotic representations. This difficulty occurs in verticals throughout schooling and is often an obstacle to the proper learning process of mathematics. The present study aims to investigate the different facets of these difficulties with…

This paper explores the specialized knowledge mobilized by a mathematics teacher in the selection and use of examples for teaching sequences. Taking an experimental case study approach, we analyse the examples deployed in a series of third-year secondary level lessons on sequences and identify the different knowledge subdomains activated according…

This study illustrates how two secondary mathematics teachers used students' incorrect answers as they supported students' engagement in collective argumentation. Three ways of supporting argumentation when students contributed incorrect answers are exemplified, and the structures of these arguments are investigated. Then, by focusing on the…

Mathematics Preservice Teachers' (M-PSTs) conceptions of Mathematical Knowledge for Teaching (MKT) enhance their reflective skills because they utilize such conceptions to reflect on how to contextualize content knowledge during secondary mathematics teaching. While previous studies suggested M-PSTs develop MKT, including pedagogical content…

Problem-based learning (PBL) is linked to developing learners' creative thinking in mathematics. This process-oriented approach capitalizes on using problems to stimulate learning through independent and collaborative investigations. This meta-analysis looked at the effectiveness of using PBL to influence mathematical creativity. Fifteen results…

The COVID-19 pandemic of 2020 forced many schools to deliver remote and/or online instruction, at least intermittently, to all students, including those with learning disabilities (LD; Grant, 2020). The move to remote (i.e., education provided not in the physical classroom or school) or virtual (i.e., learning facilitated by digital tools)…