The mathematical modeling process is also a powerful way to teach students the meaning of data. In mathematical modeling, students are collecting data to answer a question. Data collection is the means to an end and not the end in itself. The author was looking for an engaging way to introduce his third-grade mathematics class to the skill of…

It is important for students to develop a relational understanding of the equal sign, but students often have simultaneous operational and relational conceptions (i.e., SOR conceptions). This case study carefully explored how a student's conception of the equal sign changed during a classroom teaching experiment and analyzed the possibilities and…

Mathematics continues to be one of the most significant barriers to student success, particularly in the community college sector. Many students are placed into the algebra-based track, which is often viewed as the "safe" or most desirable option, when they likely would have been better served in an alternative mathematics pathway more…

Undergraduate concepts are often first introduced in a single-dimensional setting and then extended to multiple dimensions. For instance, many undergraduate real analysis students will first learn of the metric topology on [set of real numbers] before being exposed to more general metric spaces. I conducted a paired teaching experiment (Steffe…

As a prospective mathematics teacher, the most inspiring observation I, Audrey, the first author, made about Terry Wood, from those who spoke at the May 2021 Memorial Event, was her passion for mathematics education as evidenced by the intermingling of her work and personal life. From the colleagues whom she invited to live in her home to the…

The purpose of this qualitative research study was to explore the drawbacks and benefits of teaching various levels of secondary mathematics using the theoretical frameworks of positioning theory and micropolitical theory. This problem of practice was brought to my attention by the National Council of Teachers of Mathematics (NCTM) when they…

Many math educators are grappling with ways to make their instruction more culturally responsive to improve their students' feelings of belonging, perceptions of relevance, and academic learning outcomes. To learn more about how to facilitate the application of innovative and promising practices in math classrooms, a continuous improvement…

This study aims to map the landscape of the importance of previous research on computational thinking (CT) in mathematics learning over the last decade. This research is a literature review research, there are 113 publications collected from the Scopus database which are then analyzed using the bibliometric analysis method assisted by the…

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…

Learning Transformation Geometry (TG) needs a more informal approach to concern situational problems. This study aims to develop actionable knowledge of TG in the form of design related to context and yet general enough to use digital manipulative activities in new situations. We propose such knowledge in the form of conjectured Local…

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…

The revised Australian curriculum presents a new emphasis in primary schools on the process of Mathematical Modelling. A modelling focus brings close attention to confidence and capability with a potentially new problem-solving process, associated language, and pedagogical processes. This paper presents a Year 4 classroom modelling experience that…

Even prior to COVID-19, there had been an increase in the use of technology in undergraduate mathematics education to support the development of mathematical understanding and skill, and to enhance the student learning environment. Technology-enhanced resources can be used to provide formative assessment which can help students identify gaps in…

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…