How should our students think about external forcing in differential equations setting, and how can we help them gain intuition? To address this question, we share a variety of problems and projects that explore the dynamics of the undamped forced spring-mass system. We provide a sequence of discovery-based exercises that foster physical and…

The Three-Square Puzzle shows a remarkable relationship between three angles. What happens when the number of squares increases? This article explores that question and brings in Fibonacci and Lucas sequences.

We measured the fundamental financial knowledge and the level of using basic financial offers by persons with Asperger syndrome. It was pilot study. The method of diagnostic survey was used. The questionnaire used in the study was authorship, developed on the basis of S&P Global FinLit Survey, conducted by World Bank Development Research Group…

That idea that problem-based learning (PBL) is more motivating that traditional education has been prevalent since the inception of PBL at McMaster University in the late 1960s. Evidencing this through empirical research, however, has proven to be a lot more problematic. This paper retraces how the discourse on motivation started from a laymen's…

Research focusing on the complexities faced by instructional designers have called for pedagogical strategies to equip instructional designers with the ability to problem solve and make decisions. One of the most widely studied strategies for managing cognitive load is the use of worked examples, which provides an alternative to traditional…

We recognise that though teachers may participate in various forms of professional development (PD) programmes, learning that they may have gained in the PD may not always lead to corresponding perceivable changes in their classroom teaching. We offer a theoretical re-orientation towards this issue by introducing a construct we term…

Teaching our successors about the art of theory building can be a challenge. If you have taught a theory-building course in any of our fields, you may have experienced a common hazard: The seminar can devolve into yet another methods course when the more methodologically inclined take over, focusing the class's attention on the flaws in tests of…

Employing authentic cases experienced by practitioners in educational contexts is critical to expanding students' experience and engaging students in authentic problems to promote their real-world problem-solving skills. Although in real life, practitioners experience both success and failure and learn from both, little research has been done so…

We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

The fundamental theorem of calculus (FTC) plays a crucial role in mathematics, showing that the seemingly unconnected topics of differentiation and integration are intimately related. Indeed, it is the fundamental theorem that enables definite integrals to be evaluated exactly in many cases that would otherwise be intractable. Students commonly…

The aim of this article is to provide a theoretical framework to strengthen design thinking and practice in the context of teaching through productive processes and using it to generate knowledge. The article explores three modes of inquiry inspired by Dewey and based on Schön, Barab & Squire and DiSalvo to investigate academic inquiry in…

The present article gravitates around the radical dilemma in which the evolution of the current human civilization has placed us. This route derives from certain global problems, such as most notably climate change, which have exacerbated the magnitude and complexity of the known socio-environmental problems. Avoiding the most extreme scenarios…

The motivation behind this examination is to present the theoretical structure of Modeling Activities, which is believed to be a vital device for mathematics instruction. Modeling activities are defined as activities to figure out complex problems faced in real life situations that require the creation of a mathematical model as a product. In…

This paper asks: when political emotions are invoked in the classroom, can this be done without the process of democratic education degenerating into a form of emotional and/or political indoctrination? The source of inspiration for addressing this question is Hannah Arendt's political thought on emotion and education. The aim of the article is to…

The study reported on here aimed to examine the effectiveness of the successful intelligence interactive module (SIIM) that employs thinking skills using the successful intelligence theory. This was an empirical study that used mixed method analysis. The rationale for the development of this interactive module was to increase the analytical,…