Background: Many teachers for different reasons recognise the teaching of fraction as a challenge. This research explored the teaching of fraction in Grade 5 by three experienced teachers (Ben, Greg and Will) in KwaZulu-Natal province, South Africa. Aim: The purpose of this study was to investigate the impact of different approaches to the…

This study sought strategies to improve teachers' professional curriculum practices in a Grade R mathematics class. A phenomenological research design was employed to generate data for the study using a sample of fifteen participants. A semi-structured interview guide was used to collect the data for the study. In this regard, the interview guide…

The purpose of this study is to compare the differences of four essential aspects (i.e., representational forms, contextual features, cognitive demand levels, and response types) embedded in mathematical problems within the topics of numbers and operations in mathematics textbooks used in Finland, Indonesia, Malaysia, Singapore, and Taiwan. This…

These proceedings are a written record of the research presented at the 43rd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Philadelphia, Pennsylvania, and virtually. This year's conference theme is "Productive Struggle: Persevering through Challenges."…

I examined the relationship between teachers' identification of mathematical points in written lessons and students' mathematical learning opportunities. Lessons in teachers' guides and classroom instruction were analyzed for written mathematical points and those articulated by teachers during instruction. Teachers who appropriately identified…

The goal of the study was to explore the relationships of mathematics self-efficacy to four sources of mathematics self-efficacy. The participants were 127 Black college freshman students. Multiple regression procedures tested for predictors of the two measures of self-efficacy. Students' mathematics self-efficacy was measured using two sub-scales…

The development of mathematical reasoning is a key proficiency for mathematics within the Australian Curriculum. However, reasoning can be difficult for teachers to assess, particularly with pen and paper tests. In this study, interview tasks were designed across three curriculum areas at three different levels to assess student reasoning through…

This study investigates the associations of spontaneous "dynamic gesture" and "transformational speech" with the production of "deductive proofs" in participants' reasoning about geometric conjectures (N=77). Although statistical analysis showed no significant association, the result suggests that purposefully…

The relevant literature concerning the relationship between humorous intervention and academic performance features conflicting evidence. Authors present evidence that humor is able to directly benefit student academic performance (Ford et al., 2012), while other authors suggest humorous distraction may actually worsen performance (Bieg et al.,…

Many elementary teachers, who teach foundational mathematics topics, have a complicated and dynamic relationship with mathematics (Bekdemir, 2010; Brown et al., 2011; Novak & Tassell, 2017). The understanding of these mathematical experiences and the connection to mathematics identity is critical for the transformation of teacher preparation…

The general problem in this study was that African American high school students were failing mathematics at staggering rates due to standardization of non-inclusive math curriculums, void of a math pedagogy. Curriculums should be based on the ideals of SDT that inspire intrinsic and extrinsic motivation. The specific problem in this study was…

Student mathematics motivation and engagement in the first year of high school is critical because of its volatility (Mangu, Middleton, & Lee, 2016) and importance for future academic advancement and career opportunities (Trusty, & Niles, 2003). Following the quantitative longitudinal non-experimental design (O'Dwyer & Bernauer, 2013),…

If we want mathematics education to be valuable to everybody, including those who do not pursue mathematics-related careers, we need to use mathematics as a training ground for certain ways of thinking. This dissertation focuses on one aspect of mathematical thinking, namely theory building. It has three parts -- unpacking what constitutes theory…

Statistically skilled workers are highly demanded in today's world, which means we need high-quality statistics education. There has been a continuously increased enrollment of statistics students. At the college level, introductory statistics courses are typically taught by professors who often hold a strong qualification in mathematics but may…

Proof is a key indicator for a student in developing mathematical maturity. However, in the process of learning proof, students have the difficulty of being able to explain the proof that has been compiled using good arguments. So we need a strategy that can put students in the process of clarifying proof better. One strategy that can explore…