A secondary school in Melbourne, Australia piloted an innovative programme in Year 10 Advanced Mathematics, in which the students recorded screencasts as a method of student-led peer learning. The four mathematics teachers who piloted the programme were interviewed to gain their perspectives on their experience and the outcomes of the initiative.…

The primary school mathematics syllabuses in Singapore as of the year 2020 reinforces that Big ideas are central to the learning of mathematics. In support of the push to teach for big ideas, a research study is presently underway. A part of it is on the professional development (PD) of primary school mathematics teachers. As part of the PD…

The study reported in this paper is on the professional development (PD) of primary school mathematics teachers. Teachers from two primary schools participated in the PD for two years. High-stakes mathematics examination tasks were used to kick start awareness and thinking about teaching for big ideas. Teachers did the tasks and discussed their…

Productive learning of algebra is supported when students reflect on multiple strategies, compare them and discuss the rationale behind and relative merits of particular strategies. Comparison and Discussion of Multiple Strategies (CDMS) is an instructional approach designed to support these processes in math classrooms. In the current study, 16…

Adopting a pretest-posttest experimental design with repeated measures, this study examined the effects of three types of game-based learning supports in the form of modeling on knowledge development that contributed to successful math problem solving and students' perceived game flow. Forty-one sixth-grade students participated in the study and…

This report describes a randomized controlled study that compared the personalization of educational content based on neural networks to personalization by human experts. The study was conducted in a graphically rich online learning environment for elementary school mathematics, in which N = 135 fourth- and sixth-grade students learn via…

Integrating digital technology in education is challenging. This study reports on three high school mathematics classes where teachers attempted to improve their teaching and student learning by using a digital tool. For analysis we use the Information System Artifact model Lee et al. (2015) which distinguishes between three integrated…

The mathematics education literature indicates a consensus regarding the importance of developing algebraic thinking in elementary school mathematics. However, the approaches used to implement this concept vary around the world. This study examines how a popular standards-based elementary mathematics textbook series in China provides opportunities…

This mixed-method study, which aimed to examine the development of teacher candidates, was organized as a design-based study. During the 14-week instructional sequence, pre-service teachers were given training based on the designed hypothetical learning trajectory. The data collected through the lesson plans before and after the training and…

Mathematics teachers play the most pivotal role in reflecting students' abilities and interests, providing a conceptual understanding through high PCK. However, research that comprehensively analyses the available literature relating to factors that could affect mathematics teachers' PCK is still lacking. There is a compelling demand to strengthen…

This study examines how collective argumentation in the integration of the ACODESA method (collaborative learning, scientific debate and self-reflection) and GeoGebra can help students understand parametric equations. The participants of the study consist of 24 university students enrolled in a mathematics education programme at a state university…

The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lectures and active learning. Under the discussed classroom model, there are two lecture days and two discovery-based discussion days each week. Discussions center around…

Observing 17 teachers for a total of 116 hours, this paper examined whether a relationship between the beliefs of novice mathematics teachers and their classroom practices exists. A Spearman correlation analysis showed a modest relation between beliefs about the nature of mathematics and about learning mathematics, while the relationship between…

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as…

Debates about how best to support students' transition from school to university have re-emerged periodically since at least the 1970s. This paper focuses upon one aspect of this transition: how to develop the quantitative skills students acquire at school throughout the first year of their degree. We report on an attempt to inject pedagogic…