In his 1973 article "The Structure of ill structured problems", Herbert Simon proposed that solving ill-structured problems could be modeled within the same information-processing framework developed for solving well-structured problems. This claim is reexamined within the context of over 40 years of subsequent research and theoretical…

Mathematicians commonly distinguish two modes of work in the discipline: "Problem solving," and "theory building." Mathematics education offers many opportunities to learn problem solving. This paper explores the possibility, and value, of designing instructional activities that provide supported opportunities for students to…

We present a method for finding partial fraction decompositions of rational functions with linear or quadratic factors in the denominators by means of repeated polynomial divisions. This method does not involve differentiation or solving linear equations for obtaining the unknown partial fraction coefficients, which is very suitable for either…

While the scientific investigation into creativity is a recent phenomenon, creative thinking has always been a crucial feature of humanity. The ability to creatively solve problems enabled early humans to survive and laid the foundation for the creative imagination that has resulted in our modern society. While most humans no longer face physical…

This paper presents some critical perspectives regarding pedagogical approaches to the method of reversing the order of integration in double integrals from prevailing educational literature on multivariable calculus. First, we question the message found in popular textbooks that the traditional process of reversing the order of integration is…

This conceptual paper addresses the issue of value creation in the field of higher education and presents a new theoretical perspective by assigning the Service Dominant Logic (SD-logic) and developing a higher education value framework, consisting of ten "foundational premises" for a better understanding of higher education phenomena.…

Attention to mathematical modeling has grown, but most practicing and future teachers have limited experience with mathematical modeling and how to integrate it into their practice. However, documents such as the Common Core and GAIME Report emphasize the importance of mathematical modeling in mathematics education. Engaging students in…

This article used a questionnaire survey for the college students on learning and teaching in epidemic situation. The result of the study shows that there were existing superficial understanding on Online learning, insufficient theoretical guidance for online teaching innovation and teaching support services still lag behind expectations. Based on…

The COVID-19 pandemic forced university-based language teachers to rely on technology for teaching. While the challenges of the rushed move to online teaching have been well documented, less is known about how teachers adapted to online teaching through professional development. This article focuses on the experiences of four English-language…

Purpose: The purpose of this paper is to review and provide propositions about survey assessment tools of the key sustainability competencies (KSCs) of education for sustainability. UNESCO points out how education plays an important role in transforming societies towards a sustainable future and achieving the United Nations' sustainable…

A physiology laboratory course plays an important role in improving the scientific abilities of medical students. This study involved a teaching reform based on problem-based self-designed experiments in a physiology laboratory course. The study subjects were divided into two groups, i.e., students enrolled in 2019 were assigned to the traditional…

In the past decades, collaborative game-based learning has been used to facilitate students' learning in authentic learning contexts. Although several previous studies have reported the potential of this approach for students' learning performance and motivation, unequal participation could negatively influence the learning effectiveness of…

Social connections are crucial for today's middle and high school students. We address this social need through a 3-H Social and Emotional Learning (SEL) Cycle. Through the Three Sisters Garden activity presented here, we teach secondary school students about biodiversity and sustainability as we integrate the arts into STEM (STEAM). Students…

Most studies suggest that students develop computational thinking (CT) through learning programming. However, when the target of CT is decoupled from programming, emerging evidence challenges the assertion of CT transferability from programming. In this study, CT was operationalized in everyday problem-solving contexts in a learning experiment (n…

The purpose of the study was to investigate the classroom assessment practices of secondary school teachers in Shiwang'andu District, Muchinga Province, Zambia. The objectives were to: describe the assessments that were being used by teachers in sampled schools; determine teachers' use of classroom assessment results; as well as establish…