Mathematical reasoning, which plays a critical role in students' capacity to make sense of mathematics, is now emphasised more strongly in various curricula internationally. However, reasoning is sometimes difficult for teachers to recognise, let alone teach. This case study considers video of one teacher's implementation of a problem-solving…

Geometric habits of mind (GHoM) are the approaches that individuals use to solve geometry problems. This study aimed to determine the effect of dynamic geometry software (DGS) in activating the GHoM of pre-service mathematics teachers. The study was conducted with six teacher candidates who were enrolled in a semester-long course titled…

Mathematical modeling and applications are an important part of curriculum and considered to be important for students' current and future lives. In this contribution, we focus on mathematical modeling from a cognitive prospective. Following embedding the cognitive perspective within the discourse of mathematical modeling, we describe some of the…

The need for improving and evaluating students' cognitive skills, including problem-solving, has been highlighted in both the mathematics education literature and the curricula worldwide. The objective of this study was to assess the problem-solving skills of lower secondary school students using a teacher-based evaluation method, taking into…

This study aims to advance the development of the mathematical processing skills of students by suggesting the use of digital geography games. This includes an analysis of its contribution to the standard mathematics curriculum in areas such as data processing as well as its contribution to social studies curricula in areas such as map literacy,…

The purpose of the quantitative ex-post facto study was to determine to what extent a predictive relationship exists between students' reading comprehension skills and mastery of conceptualizing mathematical problems for students in the fifth through eighth grades in a metropolitan area in the northeastern United States. The Federal School…

The authors describe a lesson--"You Decide"--which challenges students but also provides opportunities for success for those who may struggle. They show how this lesson has been helpful for teachers in revealing some misconceptions that often exist in primary students' thinking. In this article, they share data on the apparent relative…

This study investigated in-service teachers' conceptualization of the pure imaginary number, within the Cartesian form, "a" + "ib" where "a" and "b" are real numbers and "i" is the imaginary unit. As part of a larger design-based research study, in which a professional development (PD) program was…

The problem addressed by this study is that students are not implementing literacy strategies they learned in English language Art classes in their mathematics classes. The study's purpose is to explore how seventh-grade students utilize literacy strategies modeled by teacher/s in the mathematics classroom and implementation to deconstruct and…

Polyiamonds are the 'and so on' when unit-squares are replaced with unit-equilateral triangles. Polyiamonds are used to play the satisfying Blokus variant, Blokus Trigon, where the playing grid is also hexagonal, and the playing pieces are all the polyiamonds from mono- to hex. This article discusses the use of polyiamonds in puzzles.

Preservice elementary teachers (PSTs) often enter their teacher preparation programs with procedural and underdeveloped understandings of area measurement and its applications. This is problematic given that area and the area model are used throughout K-Grade 12 to develop flexibility in students' mathematical understanding and to provide them…

The motion equations of a body under gravity and resistance linearly dependent on speed are usually analysed by solving differential equations. In this paper we report a derivation not explicitly involving differential equations but instead based on some elementary mathematical operations. The derivation uses only knowledge covered in a typical…

This study explores narratives about critical moments in mathematics learning written by K-8 pre-service teachers' (PSTs) in the United States over a 20-year period. These critical moments, such as a single memorable task, course, test, or comment from a teacher, had a powerful and sustained impact on PSTs' mathematics identities, which they…

Backward transfer refers to the influence on prior knowledge of the acquisition and generalisation of new knowledge. Studies of backward transfer of mathematical knowledge have focused on content that is closely related in time and in curricular sequencing. Employing the notion of thickening understanding, we describe instances of transfer that…

The aim of this study is to investigate the effectiveness of Realistic Mathematics Education Strategies Mobile App (REMSAM) on the mathematical problem solving performance of students with learning disabilities (LD). The participants of this study consisted of five children (three girls, two boys) with LD. The study was carried out based on a…