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…

This study has identified factors stimulating creative ideas, transforming creative ideas to products, and continuing creative performance in the field of architecture based on interviews with 10 creative and successful architects. Having a penchant for liberal arts and reading books on a broad range of topics on arts, humanities, social sciences,…

Building students' understanding of cardinality is fundamental for working with numbers and operations. Without these early mathematical foundations in place, students will fall behind. Consequently, it is imperative to build on students' strengths to address their weaknesses with the notion of cardinality.

Regardless of what is intended by government curriculum specifications and advised by educational experts, the ICT competencies or skills taught and learned in and out of classrooms can vary considerably. In this paper, we explore how we can investigate the perceptions that individual teachers have of ICT as a subject, and how these and other…

Chuderski and Jastrzêbski (2017) found a positive relationship between working memory capacity and insight problem solving, and concluded that "people with less effective cognition" are therefore "less creative" (p. 2003). This interpretation discounts substantial evidence that devoting less executive control facilitates…

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…

As a programmer when solving a problem, a number of conscious and unconscious cognitive operations are being performed. Problem-solving is a gradual and cyclic activity; as the mind is adjusting the problem to its schemas formed by its previous experiences, the programmer gets closer and closer to understanding and defining the problem. The…

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…

Calculus has frequently been called one the greatest intellectual achievements of humankind. As a key transitional course to college mathematics, it combines such elementary ideas as rate with new abstract ideas--such as infinity, instantaneous change, and limit--to formulate the derivative and the integral. Most calculus texts begin with the…

In order to understand potential applications of collaborative problem-solving (CPS) assessment tasks, it is necessary to examine empirically the multifaceted student performance that may be distributed across collaboration methods and purposes of the assessment. Ideally, each student should be matched with various types of group members and must…

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.…

Problem solving is a complex process in which encountered problems are defeated as reaching a target and problem solving skills are developed in school years. And, intelligence is defined as the ability to solve problems or to create products being valued within one or more cultural settings. Therefore, the purpose of the present study is to…

Behavior always makes sense. It is up to those of us who provide care to understand what kind of sense it is making. This workbook is a comprehensive training manual that offers a structured step-by-step model for analyzing what is going on when someone with intellectual disability and limited verbal skills shows a change in behavior or mood --…

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 guide is designed for practitioners, including teachers, lead instructors, and professional developers, who are ready to take up the challenge to change how numeracy is taught in adult education. If instructors shift their teaching to focus more on the use of numeracy skills, they might find that their students not only score better on formal…