To stay up with society and technology, pedagogical changes are needed. Even a well-designed curriculum depends on teachers, who implement it. Knowledge drives this field's educators' actions. This dissertation examined how the Southwest New Mexico Elementary Mathematics Specialists (EMS) program affects elementary mathematics teachers' PCK.…

Engagement can be described as students' tendency to work productively, think deeply, enjoy and value their learning, and to support each other in the process of learning (ZDM article). Each of these dimensions can be indexed by a variety of psychologically validated constructs such as interest and enjoyment, self-regulation, effort, emotional…

This study describes students' learning obstacles in solving early algebra problems requiring functional thinking ability. To reach this aim, qualitative research was conducted in this study. Participants of this study were 39 ninth graders and a mathematics teacher at one of the lower secondary schools in Bandung, Indonesia. The data were…

Fractions are an integral part of the mathematics curriculum. Most students acquire proficiency with these concepts during the course of their elementary education and are usually able to perform basic fractions operations when reaching middle-school age. However, a considerable number of students require extra help to not fall further and further…

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,…