The goal of this research was to investigate the relationship between real analysis content and high school mathematics teaching so that we can ultimately better prepare our teachers to teach high school mathematics. Specifically, I investigated the following research questions: (1) What connections between real analysis and high school…

The aim of the research was to determine the effectivity of implementation of e-learning science, technology, engineering, and mathematics (E-STEM) project-based learning model in teaching science to improve information, communication, and technology (ICT) literacy and problem solving. The study adopted quasi-experimental non-equivalent control…

CS1 courses are designed in Indian Institutions as a lecture course of three to four credits and one credit lab course. The issues related to curriculum design, instruction design, and students' learning manifest themselves as issues in the lab programs. This situation presents the lab instructor with an opportunity to understand and address the…

Design thinking--understanding the human needs related to a problem, reframing the problem in human-centric ways, creating many ideas in brainstorming sessions, and adopting a hands-on approach to prototyping and testing--offers a complementary approach to the rational problem-solving methods typically emphasized in business schools. Business…

Faded worked examples have been used to promote problem solving performance, such as mathematics performance in many laboratory studies and short-term classroom studies. However, few studies have examined the ways educators may use fading in their own classroom on more accessible platforms that do not require programming experience. Further, few…

Teaching mathematics to students at the elementary level needs logical thinking, the students have to be encouraged to study hard to improve solving skills. The objective of this study is to improve the learner's problem solving skill in mathematics 2. This research aims to find out how the implementation of the visualize, represent and solve…

Creative insights and advances influence improved learning conditions and innovations for addressing global challenges. Moreover, technological advances make information universally available, which has rapidly accelerated progress across economic sectors. These advances have major implications for educators and, further, the knowledge and skills…

This research deals with a possible use of history of mathematics in mathematics education. In particular, history can be a fundamental element for the introduction of the concept of integral through a problem-centred and intuitive approach. Therefore, what follows is dedicated to the teaching of mathematics in the last years of secondary schools,…

Productive problem solving, concept construction, and sense making occur through the core process of abstraction. Although the capacity for domain-general abstraction is developed at a young age, the role of abstraction in increasingly complex and disciplinary environments, such as those encountered in undergraduate STEM education, is not well…

In most performing classes, such as dance or performing arts, students passively follow the scripts or demonstration provided by the teacher, and focus on imitating the acts and practicing repeatedly. Although researchers have begun trying out flipped learning to provide students with opportunities for self-learning and to increase the time for…

The research phase preluding a design capstone project is challenging for both students and instructors. In a situation where students are free to work on a topic of their choosing, a preset, generic research design is not suitable. Imposing a rigid framework would endanger the possibility of students truly examining and capturing the complexity…

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.

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…