Understanding a mathematical concept in real-world situations is of practical importance and would be helpful to learn the concept in depth. One potential way to help students learn mathematical concepts in real-world situations would be to engage them with contextual problems. Exponential and logarithmic concepts are essential topics in higher…

In Singapore, where primary and secondary students routinely top standardized worldwide mathematics examinations, a paradox emerges: when reaching university, many struggle to apply their skills critically in real-world contexts. This commentary examines the challenges and strategies involved in teaching quantitative reasoning (QR) to…

Igniting excitement for physics in our students is a goal of every instructor. In this paper, we discuss a unique example of the concept of density, a subject that is rarely viewed as intriguing by students. By combining a problem involving dinosaurs and an effective density, our students' interest is often captured through calculating an…

Collisions are real-world situations from everyday life (such as car crashes, playing billiards, etc.) that can be described and understood by the principle of conservation of momentum. One might expect that learning from simple collisions might help students understand more complicated physical phenomena. However, from our teaching experiences we…

The article uses dynamic visualizations in Excel to examine a variety of ways in which students can attain a much greater depth of understanding of optimization problems in introductory calculus. The topics discussed include a variety of common optimization problems that appear in virtually every calculus textbook that can all be enhanced…

We present a model for roleplaying (RP) for university students that is aimed at fostering the interactions of each learner with the teacher and coursemates, self- and peer-assessment, as well as an awareness and meaningful learning of mathematics. Specific features of our model are its focus on metacognition and individualized learning, based on…

This article aims to analyze the process of the progressive mathematization of the concept of the function by secondary school students through the resolution of a free fall situation. A free-fall mathematical situation was designed and experimented using the Tracker software to obtain movement data. Worksheets and conversations were collected…

In this portfolio, I reflect on my efforts to provide professional development targeted to support teachers during the launch phase of their mathematics teaching, to elicit and respond to student ideas and experiences. I grounded my study in research on ambitious teaching practices for launching complex mathematical tasks using problem-based…

The purpose of this mixed-method study is to investigate and compare students' problem-solving and higher order thinking skills. This study involves two contexts: a traditional teaching program and a Lesson Study program. In qualitative phase, seven mathematics lecturers, a physics lecturer and the researcher forms the Lesson Study group and they…

Fostering a culture of professionalism is the work of all stakeholders in a school and can be influenced by participating in self-selected professional development. Professionalism is a trait among teachers that has garnered significant attention within mathematics education. Central to the principle of professionalism is the recognition that…

Prior research highlights a positive effect of incorrect worked examples on mathematics learning. Yet the mechanisms underlying these benefits are unclear. To investigate potential mechanisms of the benefits of various worked example types, we examined process data from a previously published classroom-based experiment. More specifically, we…

Previous research suggests that teachers' adoption of inquiry-based teaching is influenced by school culture's openness to creative solutions, with teachers' self-efficacy in inquiry-based teaching acting as a mediator. However, considering the potential impact of local educational and socio-cultural context on teachers' behavior, findings from…

The subject of physics can sometimes seem esoteric and challenging to engineering students. It would be beneficial to create a more conducive learning environment for them by combining words, mathematical equations, graphs, and diagrams to increase their problem-solving abilities. It has been demonstrated in mechanics that employing multiple…

Teaching quantum physics (QP) to high school (HS) students is gaining momentum, necessitating the exploration of various effective methods. Specifically, the research on quantitative teaching methods is still in its early stages. Understanding the power of Dirac notation (DN) in teaching is crucial for grasping the complexities of QP, as it…

This convergent mixed methods study investigated the relationship between the assessment-capable learning (ACL) instructional model, John Hattie's influence referred to as "students driving their own learning," and math achievement in kindergarten. While Visible Learning literature has focused on secondary and higher education, this…