Effective teachers have knowledge not only of the subject they are teaching, but also of how to teach it appropriately. To develop these aspects of knowledge, faculties of education include a number of courses that address the related skills. From the perspective of mathematics teacher education, courses related to mathematics teaching have come…

Cognitive difficulty arises from two types of cognitive processes: treatments; within the same, conversions; between different types of representational registers. Conversions are difficult since they ask for understanding of two representations. Direction and the choice of first register could be a threshold for the student. Wasan geometry is…

We examined the potential different effectiveness of an online homework system (IXL) and the traditional paper-and-pencil homework. A study involving 98 participants was conducted in a middle school (grade 8). We compared the post-test results from the online homework group with the traditional homework group. Both homework assignment effect…

The acquisition of procedural and conceptual knowledge is imperative for the development of problem solving skills in mathematics. However, while there are mixed research findings on the relationship between the two domains of knowledge in some branches of mathematics, the relationship between learners' procedural and conceptual knowledge of…

This study aimed to study quality of theses of master education program in teaching science and mathematics, Mahasarakham University, Thailand which conducted and published during 2016-2019. A 37 theses were studied through systematic approach. Data were collected by 24 questionnaires of theses analysis anecdotal. Mean, standard deviation, and…

Improving educational outcomes for Pasifika learners is a national priority in New Zealand. Long-standing mathematics achievement differences between Pasifika and non-Pasifika indicate that looking beyond usual pedagogies may be essential for enhancing Pasifika student learning. Culturally sustaining pedagogy, drawing from the cultural experiences…

This study examined students' ability to learn mathematics in a self-directed teaching environment. One of the main goals of the educational system is to nurture independent learners who can grow up to be inquisitive, critical, creative, and capable of piloting their own learning. This implies making a change in the way the role of the mathematics…

In a recent empirical article published in "Cognition" (Johnson, Burgoyne, Mix, Young, and Levine [2022]. "Cognition," 218, 104918), we examined the relationships between spatial and mathematics skills in a cross-sectional sample of 1,592 children that included kindergarteners, third graders, and sixth graders. We tested…

Purpose: Music could be a challenger for mathematics and a potential candidate for the title "The Universal Language." This paper aims to discuss the primary objectives of engaging with music, including the therapeutic benefits. Similarities, between mathematics and music and how studying one might enhance one's abilities of the other…

In this article, the authors share ideas for harnessing the power of mathematics and children's literature to understand social justice issues with upper primary students, which can be adapted for younger students. The authors focus on the critical issues of food scarcity and waste. Children's literature and current data are purposefully employed…

In 2020, Year 12 students at John Curtin College of the Arts, were required to model COVID-19 data from five different countries in order to find correlations between daily infections and unemployment rates, in order to make future predictions. Work received from students demonstrated how the task successfully provided unique learning…

This article shows how the exciting new field of Machine Learning can be effectively introduced in a standard calculus sequence, once the students have been introduced to functions of several variables. This is an opportunity to engage students in a discussion of an application of calculus to an emerging field that the students encounter in their…

This paper reports on a project that sought to enhance problem-solving practices within a cluster of primary schools. In-service teachers' description of their approach to problem-solving suggested it was treated as an isolated practice that occurred after concepts had been taught; often focusing on teaching particular problem-solving strategies…

Numbers and variables often follow the same principles of arithmetic operations, yet numbers can be computed to a value whereas variables cannot. We examined the effect of symbols--numbers versus variables--on middle school students' problem-solving behaviors in a dynamic algebra notation system by presenting problems in numbers (e.g., 3+5-3) or…

A concerning number of students enter kindergarten facing an intractable variation of mathematics difficulties (MD). This study investigated the impact of an explicit, core kindergarten mathematics program on the mathematical outcomes of kindergartners who demonstrated severe MD at kindergarten entry and examined whether these students improved…