Maths starts with children's first experiences of their world with understanding spatial relations, and then continues with their experiences to extend their learning. The learning process starts before formal education and moves along with school learning. As the first stage of formal learning, early years and early years teachers play an…

In this study, we examine the real-time decision-making processes of a teacher in a UK post-16 mathematics classroom focusing on the integration of student-centred teaching methods. The contribution of this study is a transdisciplinary theoretical discussion which links teachers' actual classroom practices (often traditional and teacher centred)…

This study investigated the impact of Process-Oriented Guided Inquiry Learning (POGIL) approach in the proficiency level of Grade 9 students along quadratic functions. It employed a quasi-experimental design with a qualitative approach. Two groups with 40 students each from Saint John Berchmans High School Incorporated were considered as the…

The stereotype of math being male-typed prevails among most Western societies. This math-gender stereotype is associated with math-gender misconceptions, which are scientifically incorrect specific theories about girls' math abilities (e.g., girls inherently think less systematically and thus have less math ability than boys). Teachers may…

When students first encounter variables in algebra, they often develop the Letter-as-Object misconception, interpreting letters as labels for objects rather than references to numerical values. This study analysed the response patterns of 2220 German Year 7 and 8 students (aged 12-14) using the SMART test 'Meaning of Letters', designed to assess…

Although researchers have found that digital games are beneficial for mathematics learning, definitive guidelines for the effective integration of games within instruction are still needed. Specifically lacking is "practical guidance for how (when, with whom, and under what conditions) games can be integrated into the learning process to…

Professional noticing has been stressed as one of the key professional competencies that teachers must develop. To date, there is a robust amount of literature on teacher noticing with a focus on students' mathematical thinking. However, we have thus far not found any study that focuses on teacher noticing of classroom situations in which…

The implementation of large-scale intervention and development projects is often problematic, and the impacts of such projects usually fall somewhat short of what was expected. Additionally, the rationalities of intervention projects are not carried over into classroom teaching as directly as expected. This problem is generally known, but…

This paper reports some results of a study on how Colombian primary-school teachers, experienced in the use of technological tools, integrate digital resources into their practice. Specifically, we investigate the processes of selection and integration (including appropriation and orchestration) of these resources in the teaching of geometry. We…

This article provides teachers with a toolkit for assessing students in the context of data-based individualization (DBI) in mathematics. Assessing students is a critical component of DBI because it provides teachers with information about what they may need to modify in their instructional programs. In this article, we provide teachers with…

Teachers' self-efficacy in managing classrooms is an important consideration when it comes to bringing educational robots to classrooms. Orchestration tools support teachers by providing awareness indicators of students' progress as well as levers to control the flow of the lesson. We designed and evaluated the impact of an orchestration tool for…

Mathematics coaches are often positioned as important mediators between district administrators and teachers regarding messages about ambitious and equitable instruction. Despite this, little research has sought to unpack the connection between what coaches learn at professional development and how they make their learning available to teachers.…

This study explored 54 preservice elementary teachers' identification and modification of mathematical tasks in raising cognitive demand and examined the features of their modified tasks. The study collected data using a three-phase activity: (a) identifying the level of cognitive demand of the given task, (b) modifying the low cognitive demand…

Teachers' knowledge of the subject matter is considered an important component of their expertise in teaching mathematics. Yet how teachers' understanding of one content area is related to other content areas has not been investigated in depth. We explored this question by investigating teachers' knowledge of two theoretically related areas: (1)…

The number line is a powerful tool for supporting students' understanding of fraction magnitude. Fractions are a critical component of mathematics instruction in the elementary and intermediate grades. More specifically, understanding fraction magnitude is central to mathematical development. Yet, fractions are challenging for many students,…