This paper reports on an exploratory study about probabilistic intuition in learning mathematics for decision-making. The analysis was carried out on a group of high school students in relation to their probabilistic intuition in problem-solving, after performing playful learning activities on a simulation platform specifically designed for this…

This article presents an original puzzle that supports students' development of visual thinking and geometry ideas based on the Van Hiele levels of geometric thought. The "Triangle Puzzle" is one of many tools teachers can use to guide students' learning of geometry. The Van Hiele's theory provides a way to assess and support this…

The purpose of this study was to explore principals' reflections on effective instructional leadership problem-solving and practices during the COVID-19 pandemic. Generally, principals have very few evidence-based guidelines for providing instructional leadership during a global pandemic, presumably, improvising solutions to novel instructional…

Prospective physics teachers must have research skills because they will later utilize and transfer these skills throughout their teaching careers. However, research shows that students' research skills, including in Indonesia, are still low. In addition to equipping students with theoretical research knowledge, an emphasis is needed on the…

This case study explored Grade 12 learners' misconceptions in limits of functions. The study aimed at understanding problems that learners face in learning the concepts of limit by analyzing misconceptions that learners have and identifying the possible sources of these misconceptions to take remedial action. An exploratory research design was…

This article unpacks the computational thinking for digital technologies (CTDT) technological area of the New Zealand primary curriculum that became mandatory in 2020. It explores computational thinking (CT), its place in the New Zealand primary curriculum, and elements kaiako can utilise to help implement the teaching of CT. The article considers…

Pearson's Learning Foundations describe the optimal conditions for learning and reflect the learner experience Pearson hopes their products will create. Pearson does this by incorporating the Learning Design Principles. Each of the Learning Design Principles goes into detail about a key principle, supporting product design and marketing by…

Productive Failure (PF) is an instructional design that implements a problem-solving phase which aims at preparing students for learning from a subsequent instruction. PF has been shown to facilitate students' conceptual knowledge acquisition in the mathematical domain. Collaboration has been described as a vital design component of PF, but…

Coding must take its place among the fundamentals of education globally, along with lit­eracy, numeracy, and the sciences. The purpose of teaching stu­dents to code isn't to turn them into the software developers of tomorrow -- though it's a wonderful avenue for doing so -- but rather to give them a basic life skill of creating with tech­nology,…

The article describes a study carried out on pupils aged 12-13 with no prior programming experience. The study examined how they learn to use loops with a fixed number of repetitions. Pupils were given a set of programming tasks to solve, without any preparatory or accompanying instruction or explanation, in a block-based visual programming…

This paper presents results of a study aimed at describing and discussing evidence/features of advanced algebraic thinking processes. To achieve these objectives, we analysed the written production of students enrolled in engineering courses working on mathematical modelling tasks related to differential equations. Our guiding question was as…

The introduction of games as a teaching and learning strategy in the classroom is a pedagogical resource that presents excellent results, as it creates situations that allow the students to develop problem solving methods, stimulate their creativity and at the same time generate motivation. The theories of learning are used to describe the motives…

Contribution: This article defines "curricular hackathons" and describes the features, challenges, and opportunities of adopting the hackathon format into engineering curricula. It is based on experience implementing a series of curricular hackathons which provide students with formative design experiences as they address ill-structured…

Tychonov's 1935 solution of the heat equation, exhibiting nontrivial heat fluxes spontaneously appearing along an isolated conducting rod initially held at zero degrees, has intrigued some specialists for almost a century. No doubt those practicing heat engineers who took mathematics seriously were initially relieved to learn that the construction…

This article aims to illustrate how the collective resolution of routine mathematical tasks can give rise to uncertainties, fostering and supporting a rich and authentic mathematical activity. While solving routine tasks may not typically be classified as problem-solving, the research presented in this paper shows that, at the collective level,…