In current teaching materials, when using Dedekind cuts to construct real numbers, the definition of a Dedekind cut is always involved in defining addition and multiplication. In this paper, as it is done in many current textbooks, Dedekind cuts are used to construct the set of real numbers. Then the order in it is defined, and the…

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…

In this article, the authors share two examples of student engagement in visible, mathematical thinking through a Chalk Talk within the four walls of the classroom, as well as the connected spaces of online learning. Five steps for facilitating the Chalk Talk are outlined, with descriptions of teacher moves for each step. The silent thinking…

The article describes how to derive the equation of curves that are obtained from string art. Conversely, if the equation of a curve is given, one can find the relation between the intercepts either on a rectangular axes, skewed axis, or a circle to trace out these curves. Some of these curves can be easily traced out using the string art if they…

Mathematical flexibility has been widely acknowledged as an important learning goal in mathematical education and has received increasing research attention in order to explore its nature, facilitating mechanisms, and promotion interventions. Given that researchers conceptualize, assess, and explain flexibility in mathematical problem solving from…

Analysis of consistent Zearn Math users and a comparable group of non-users in a large Southern district shows that students who used Zearn Math had higher levels of academic growth than similar students with no usage. This analysis used the quasi-experimental method, Coarsened Exact Matching (CEM), to examine the impact of Zearn Math across 1,111…

In this participatory action research (PAR) study, I sought to understand how teachers implemented equitable and culturally responsive academic discourse to support African American students during mathematics instruction. Working with a group of teachers in a co-practitioner researcher (CPR) group, I examined to how teachers effectively planned…

This paper aims at using a Use-Modify-Create approach to explore students' mathematical problem solving by means of computational thinking (CT) and programming activities. The data collection method is participant observation, in which the researcher also has the role as teacher, guiding the group activities. In our study, two groups of students…

This study aims to examine how being involved in an argumentation process relates to the formal proof process in geometry. Prospective mathematics teachers were involved in an argumentation process while producing conjectures before engaging in formal proof of the recently produced conjectures. To collect data, four geometry-proof tasks that…

Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…

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…

While in traditional mathematics teaching methods, it is possible to prove concepts while teaching geometry and to reach generalizations that require more complex definitions by using concept findings, while in today's geometry teaching, learning that activates the student's discovery process gains importance. In this context, the aim of this…

Spatial ability is frequently encountered in professional disciplines and daily life. In general, it includes abilities such as rotating objects, estimating the appearance of objects based on a person's position, and being able to think of open and closed forms of three-dimensional objects. It is essential in learning and teaching geometry. In…

The significance of mathematical creativity cannot be undervalued. Encouraging creativity in learning can increase student rigor, foster greater learning engagement, and promote a thirst for knowledge both inside and outside of school. However, researchers have identified that research on mathematical creativity has not been foregrounded.…

Negative emotions such as mathematics anxiety (MA) may lead to the avoidance of mathematics, which can have dire consequences for future career-related decisions. This paper compared Grade 10 learners' levels of trait-MA with perceived MA according to the type of school and gender. Both quantitative and qualitative data through a survey conducted…