This study considers how class composition, in terms of between-student variability and the average level of achievement, is related to the academic development of students, and how these relationships can be explained by features of the class learning environment. At the start of secondary education, Flemish schools can decide autonomously how to…

This study aims to analyze the problem-posing skills of primary school mathematics teacher candidates with problem-posing experience and their views on problem posing. The case study, one of the qualitative studies, was used in the study. The study group is ten prospective elementary mathematics teachers who were selected using the purposive…

While some tertiary mathematics educators approximated the familiar invigilated, closed-book assessment regime in the online environment forced upon us all by a pandemic, others either by choice or necessity needed to devise a new way to assess their students' learning. This Classroom Note both synthesizes advice from the literature about what…

There is a growing interest in using comparative judgement as a peer assessment tool involving students choosing the 'better' of two pieces of work. However, it has not been shown whether peer assessment through comparative judgement is effective for students' learning. To gain a better understanding of the comparative judgement process, we…

Mathematical word problem solving is influenced by various characteristics of the task and the person solving it. Yet, previous research has rarely related these characteristics to holistically answer which word problem requires which set of individual cognitive skills. In the present study, we conducted a secondary data analysis on a dataset of N…

This research report describes a Learning Trajectory-based Curricular Design project that engaged teachers and coaches in the design and implementation process. As the project team, we focused on deepening teacher designers' understanding of the learning trajectory (LT) while situating student learning along a continuum to advance student…

This study addresses first graders' conceptual knowledge exhibited in addition strategies in relation to instructional practices and teachers' beliefs in a suburban Alabama school. To address the purpose of the study, the central question was "What is the nature of the relationship between curricular practices and beliefs and students'…

This paper will elaborate five levels of algebraic generalisation based on an analysis of students' responses to Reframing Mathematical Futures II (RMFII) tasks designed to assess algebraic reasoning. The five levels of algebraic generalisation will be elaborated and illustrated using selected tasks from the RMFII study. The five levels will be…

Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found…

The blended learning (BL) model eliminates the disadvantageous aspects of distance education and traditional education models and combines the beneficial elements in the light of studies in the literature to ensure higher quality and more efficient education. In this context, examining pre-service teachers' approaches to new teaching models used…

The aim of this study is to examine the experiences of secondary school mathematics teachers facing with the distance education process for the first time due to COVID-19 regarding the mathematics lessons. Therefore, this study employs a case study, which is one of the qualitative research types. The study is conducted with 52 secondary school…

This paper presents research activity in the solution of geometric tasks by mathematics teachers and by mathematics teacher trainees at a College of Education as part of an advanced courses. This activity tested the level of knowledge and ability to apply it in the solution of problems that can be solved in a number of ways: by using various tools…

The learning of mathematics poses specific linguistic challenges. Amongst them, teachers and students need to be able to unpack the language used in mathematics word problems to understand its context, discern the relationships between the known and unknown information, and identify relevant solution strategies. Prior research has described some…

Providing adequate proof is one essential mathematical method, but it is a difficult task for many school-age students. While previous studies have revealed the cognitive factors of proving the proof, the function of affective factors and learning engagement has been largely unexplored. This study examined the effects and processes associated with…

Metacognition is theorized to play a central role in children's mathematics learning. The primary goal of the current study was to provide experimental evidence in support of this role with elementary school students learning about mathematical equivalence. The final sample included 135 children (59 first graders and 76 second graders) who…