Research shows that attention to pattern and structure is fundamental to mathematical learning and attainment yet early mathematics curricula in England underplay the importance of patterning. In a critical realist notion of powerful knowledge, pattern teaching has the potential to empower children to notice patterns, mathematise their everyday…

Our study aims to determine how Habermas' construct of rationality can serve to identify and interpret the difficulties experienced by university students in the mathematical problem-solving process. To this end, a problem which required modelling and solving a differential equation was used. The problem-solving processes of university students…

Educators increasingly recognize the importance of students' learning orientations, but relatively little is known about how these mindsets vary across and potentially shape educational settings. We use nationally representative data to document contextual variation in mathematics orientations in U.S. high schools. We find systematic variation in…

The U.S. Nation's Report Card reveals that lower performing students exhibited greater achievement decline than their average/high performing peers based on 2022 long-term trend mathematics assessments for age 9 students. Technology, including computer-assisted instruction, plays an important role in today's dynamic learning environments.…

In light of technological development worldwide, the focus has been on how different types of digital technology can be used to provide activities that will enhance students' mathematical learning. Micro-learning is an innovative approach that will accelerate digitalization in mathematics teaching, attract students to mathematics, and combine…

Mathematics teaching is viewed as an inquiry process and a powerful context and practice for professional development with the goal of providing greater access, challenge, and support for every learner. This paper stems from a larger research project that investigates the research productivity and processes of integrating research in the…

Mathematics, by nature, has a spiral structure. The fact that the students fail to acquire an achievement in the mathematics course negatively affects other achievements. Therefore, students' mathematics failure continues exponentially. In this context, it is important to identify and eliminate students' weaknesses, if any, with the formative…

South African mathematics teachers in the Senior Phase (Grades 8 and 9) were introduced to the pedagogical tool, meaning equivalence reusable learning objects (MERLO), as a formative assessment (FA) strategy to promote and support teachers' professional growth in using FA practices in the classroom. The cultural-historical activity theory (CHAT)…

The measurement instruments are part of assessment the teacher uses in assessing the learner's learning process and outcomes. So, it is very necessary to prepare teacher students for their future as teachers. The objectives of this research were 1) to develop guidelines on construction of mathematical skill and process instruments, 2) to develop…

Math self-efficacy has been shown to predict math achievement and interest in a math-related career, such as one in science, technology, engineering, and mathematics (STEM). However, women consistently report lower math self-efficacy than men, contributing to gender disparities in upper-level math courses and the underrepresentation of women in…

It is essential for items in assessments of mathematics' teacher knowledge to evoke the desired response processes -- to be interpreted and responded to by teachers as intended by item developers. In this study, we sought to unpack evidence that middle school mathematics teachers were not consistently interacting as intended with constructed…

It is essential for items in assessments of mathematics' teacher knowledge to evoke the desired response processes -- to be interpreted and responded to by teachers as intended by item developers. In this study, we sought to unpack evidence that middle school mathematics teachers were not consistently interacting as intended with constructed…

The aim of this study is to reveal the meanings that fourth grade students in elementary school attach to the four operation symbols (+, -, x, :) that are abstract, in different representations. The pattern of the study is a case study of qualitative research methods. In the study, the evaluation tool developed by the researchers was applied to…

We investigated whether worked examples could be used to reduce cognitive load on mathematics learners who may have reduced available cognitive resources due to experiencing anxiety or excess stress. Across 2 days, 280 fifth-grade students learned from a difficult lesson on ratio, half of whom reviewed worked examples at key problem-solving…

This quantitative research study was conducted to determine the level of the mathematics learners' self-concept and learning styles in relation to scholastic performance in modular distance learning modality. A modified survey questionnaire was distributed to 180 respondents. The respondents of the study were the Grade 9 mathematics learners who…