Collaboration between Mathematicians and Mathematics Educators is crucial in advancing knowledge on the teaching and learning of Mathematics, particularly in advanced Mathematics pedagogy. However, there is a need for the type of collaborations where Mathematicians and Mathematics Educators can find common ground, and the synergy of their…

The purpose of the current study was to explore pre-service middle school mathematics teachers' personal concept definitions of a trapezoid, parallelogram, rectangle, rhombus, square, and kite. The data were collected by a self-report instrument through which the pre-service teachers provided their answers in written form. The participants'…

In this article, we argue that folding back is successful when the learners engage in exploratory talk. To support our argument, we sourced data from a Grade 10 mathematics classroom of 54 learners who participated in a four-week teaching experiment conducted by the second author. We mainly focused on talks in two groups of learners to address the…

Many students in secondary grade levels struggle with proportional reasoning. Calisici (2018) found that 48 percent of students were unable to solve a multiplication problem involving fractions. Furthermore, many students struggle with complex Chemistry topics due to the difficulty many students have visualizing the microscopic scale. "3D…

Theoretical frameworks for mathematics teaching and learning technology-supported provide a systematic structure in examining the contribution of the tool to conceptual development. This study examines the processes for the use of spreadsheets and the mathematical development of the participants in the tasks for performing the conversions between…

This study used the RBC+C model to reveal the abstractions of the 6th-grade students in the process of transition to the parallelogram area formula. Also, constructing parallelogram area information was employed as a teaching experiment based on the basic interpretive approach, one of the qualitative research methods. The study participants…

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…

Arithmetic is commonly taught through timed practice and drill, yet little research exists to guide optimal practice structure. This study investigated the effects of distributed practice and time pressure on the acquisition and retention of arithmetic facts. Following a pretest, adult participants (n = 211) were randomly assigned to learn…

This study explores how three widely used US kindergarten mathematics textbooks, each written to align with the Common Core State Standards for Mathematics (CCSSM), vary in terms of content coverage, instructional grouping, and use of representational strategies. Results show that all textbooks (i) primarily emphasize math practices related to…

The present study aims to inspect the interplay between language (Turkish) comprehension/learning (LCL) and mathematics comprehension/learning (MCL). We utilized a mixed-methods exploratory research design to understand the mechanism between LCL and MCL. First, we used an analytic rubric to score a researcher-developed achievement battery…

This study examines in-service mathematics teachers' problems on linear relationships that they posed in a semi-structured problem posing situation with a group and their ideas about the factors affecting the quality of the posed problems. Eight groups of 24 teachers participated in the study. Teachers' problems, written group work, and class…

Units coordination, defined by Steffe (1992) as the mental distribution of one composite unit (i.e., a unit of units) "over the elements of another composite unit" (p. 264) is a powerful tool for modeling students' mathematical thinking in the context of whole number and fractional reasoning. This paper proposes extending the idea of a…

The relationship between surface area and dynamics of processes can be demonstrated by adding iron at room temperature to liquid nitrogen. The rate at which the liquid nitrogen boils to produce gas is related to the surface area of the iron. Adding iron in the form of consistent units that have measurable sizes can be readily connected to…

In studies where the response variable is measured on a ratio scale, a ratio of means or medians provides a standardized measure of effect size that is an alternative to the popular standardized mean difference. Confidence intervals for ratios of population means and medians in independent-samples designs and paired-samples designs are proposed as…