Enhancing the mathematical problem solving and conceptual understanding of Year 6 students was the goal for a team of primary teachers. For this purpose, they investigated a teaching approach involving Challenging Tasks as a Professional Learning Community. The process followed by the team is outlined, and the impact on teaching and learning is…

This study investigated how 155 pre-service teachers solved three pattern generalization problems in a two-part written test and sequenced them for teaching purposes to demonstrate their curricular noticing. Participants' solutions were analyzed using inductive content analysis, which showed that only 8.4% of PSTs produced correct answers to all…

In this paper we analyze common solutions that students often produce to isomorphic tasks involving proportional situations. We highlight some key distinctions across the tasks and between the different equations students write within each task to help elaborate the different interpretations of equivalence at play: numerical, transformational, and…

In the age of change, rapid changes occur in the education and teaching process as in every field. The changes have brought new insights and practices to the mathematics teaching process, just like any other lesson. One of these changes is teaching with storytelling method. Learning with this method can be envisaged to warrant a more permanent,…

This paper presents findings from a study that examined the strategies that children, who had only been taught the part-whole fraction sub-construct at school, used for finding the fraction associated with solving varied partitive quotient problems. A qualitative, microgenetic research design was used involving nine year 5 (aged 9-10) children…

The purpose of the present research is defining the direction and level of the relationship between 8th grade students' translating among multiple representations skills and their algebraic reasoning and revealing the predictive power on algebraic reasoning. The research was conducted in accordance with relational survey model, which is a…

Problems teaching probability in Tonga (in the South Pacific) led to the question on how language and culture affect the understanding of probability and uncertainty. The research uses a discursive approach to identify the endorsed narratives which underlie Tongans' reasoning in situations of uncertainty. I aim to justify the claim that the Tongan…

This research aims to investigate the pedagogical content knowledge (PCK) of prospective mathematics teachers on the subject of limits, based on the two components of PCK: the knowledge of student understanding and the knowledge of instructional strategies. The research sample comprises 33 fourth-year prospective Mathematics teachers (known…

According to the Programme for International Student Assessment, functions constitute an important part of mathematical literacy. In Japan, students start learning about bivariate relationships in the fourth grade (at the age of 9). However, reports suggest that elementary school students and lower-level secondary school (junior high) students…

Undergraduate students study the topic of binomial series expansion as part of their Calculus course. The purpose of this study was to explore the mental constructions of binomial series expansion of a class of 159 students. Data were collected through a written assessment task by each member of the class. A convenient sample of eleven students…

This article looks at an interdisciplinary college movement and mathematics course from the perspectives of one of its co-creators and a mathematics education researcher. It suggests deep, embodied use of choreographic problem solving can form an effective path to mathematics learning through (a) conceptual overlap between mathematics and dance,…

This paper presents a praxeological analysis, based on ATD (Anthropological Theory of the Didactic), of the topic of Fourier series, as this topic is introduced and used in mathematics and in electrical engineering, more precisely in signal theory. The analysis is based mainly on one widely used textbook in mathematics for engineers, and a…

Previous studies have suggested that there is a left-to-right mental number line, which is based on individuals responding faster when a smaller magnitude is presented on the left visual field and a larger magnitude is presented on the right visual field. This study examined whether the Spatial-Numerical Associations could influence individuals'…

One of the fundamental topics taught in the microeconomics class is minimizing economic costs. It includes understanding the concept of derivatives and applying them. However, most of the first-year undergraduate students find calculus difficult to understand, which also results in poor knowledge of optimization. We use the method based on the…

There is an emerging research base exploring the relation between mathematics vocabulary and achievement; therefore, we conducted a pilot study of a mathematics vocabulary intervention for first-grade students with mathematics difficulty (MD). At posttest, the vocabulary intervention group scored significantly higher than the active control on…