In this study we aimed to understand teaching mathematics through problem posing based on an analysis of 22 teaching cases. Teaching mathematics through problem posing starts with problem-posing tasks. This study provides not only specific examples of problem-posing tasks used in classrooms but also related task variables to consider when…

Recent studies have shown that playing with coding toys enhances children's skills in STEM-subjects, especially problem-solving abilities. However, there is limited knowledge of early childhood education and care (ECEC) teachers' roles in facilitating children's problem-solving through coding-toy play activities and the high-quality pedagogical…

The purpose of this intervention study was to develop and evaluate a support model for teachers, designed to assist them in diagnosing students' (age 16-19 years) difficulties and providing feedback to support students' mathematical problem solving. Reporting on an iteration in a design research project, the results showed that the support helped…

In a research study designed to investigate the emergence of collective creativity in elementary classroom settings, and in which teachers' decision-making practices were analyzed alongside both the teachers' observed teaching practices in their classrooms and their students' problem solving actions, the first author developed four metaphors for…

Representations are used throughout school mathematics for students to both think through a problem and communicate their ideas. Students also often come to mathematics class with a repertoire of representations. This article presents the ideas of different and multiple representations with conceptual connections as their underlying distinguishing…

In this essay Dustin Webster argues that it is not the teaching of academics, but instead contributing to the ethical development of students that allows teachers to flourish in their roles. Engaging in what he calls "ethics education" provides intrinsic value that serves a teacher's flourishing as well as adding instrumental value in…

The development of students' mathematical problem-solving skills is contingent upon the approaches and methods employed by primary school teachers. This research endeavors to scrutinize the effectiveness of primary school teachers in their roles within the problem-solving process, with particular attention directed toward their inquiry techniques,…

It may sound strange, but in today's mathematics classroom, teachers are encouraged to have students struggle. This struggle, however, is not what might come to mind upon first hearing the word. The struggle I refer to here is what researchers have termed "productive struggle," which is present when students must persevere in solving…

The teaching and learning of mathematics in sub-Saharan African countries is dominated by teacher-centred pedagogies rather than student-centred ones. Observations of mathematics teachers at two private schools in South Sudan confirmed such practices. This inspired the researchers to design an intervention to help six primary mathematics teachers…

Non-digital games are a tool that can help children to build and improve problem solving skills in early mathematics learning. Teachers need to design a learning activity using non-digital games taken account problem solving skills in the learning activities. However, the application of problemsolving skills in early mathematics learning…

Although testing is used mainly for assessing student learning, a new teaching strategy called concept-point recovery (CPR) makes testing a learning opportunity for engineering students to review errors and misconceptions. CPR allows students to regain points by reviewing wrong answers and explaining the solution process to the instructor to…

Effective and data-driven math instruction can maximize student learning and achievement. This Spotlight will help analyze best practices for developing math word problems; explore how showing students both the correct and incorrect solutions can improve their understanding; investigate math 'fact fluency' and strategies for strengthening it;…

Mathematical problem solving takes on many different forms and has long been established in school curricula with the terms, problems and problem solving taking on varied meanings. This article proposes a way of engaging students in mathematical open inquiry using a video clip as stimulus. It discusses findings from a recent study conducted in a…

This small-scale study explored the presence of collaborative metacognitive talk (CMT) during collaborative problem solving (CPS) in a Scottish primary mathematics class. Content analysis was conducted on student and teacher group interactions during CPS (n = 12 students in 3 groups × 3 sessions). The largest proportion of CMT was…

This study aims to examine how five-year-old children demonstrate their learning through mathematical games in preschool settings in Palestine. It also explored the perspectives of children and teachers of different stages of play. The sample consisted of 90 children and 6 teachers. Children were guided to a wide range of mathematical games.…