In this paper, the knowledge dimension for Revised Bloom's taxonomy (RBT) is unpacked for integral calculus. As part of this work, the 11 subtypes of the knowledge dimension are introduced, and through document analysis of chapter 4 of the RBT handbook, these subtypes are defined. Then, by consulting materials frequently used for teaching integral…

Problem solving is highlighted in many mathematics curricula and has recently become one of the most investigated topics in the field of mathematics education. Extensive studies report that developing students' problem solving skills enhances their understanding of mathematics. Therefore, there is a focus on investigating problem solving processes…

In this chapter we present the results of an eye-tracking study on collaborative problemsolving dyads. Dyads remotely collaborated to learn from contrasting cases involving basic concepts about how the human brain processes visual information. In one condition, dyads saw the eye gazes of their partner on the screen; in a control group, they did…

Although scholars have identified many variables that contribute to creative problem-solving, less attention has been given to variables that might lead to failure in creative problem-solving. One set of variables that might lead to poor performance in creative problem-solving efforts may be found in various decision biases. In this study, the…

Gestures are associated with powerful forms of understanding; however, their causative role in mathematics reasoning is less clear. We inhibit college students' gestures by restraining their hands, and examine the impact on language, recall, intuition, and mathematical justifications of geometric conjectures. We test four mutually exclusive…

The "Next Generation Science Standards" framework outlines scientific and engineering practices as a key element of student development. Educators are just beginning to discover effective and meaningful ways to teach science content to students with intellectual disability; however, the literature on teaching science practices is still…

Learning and performance are not always commensurable. Conditions that maximize performance in the initial learning may not maximize learning in the longer term. I exploit this incommensurability to theoretically and empirically interrogate four possibilities for design: productive success, productive failure, unproductive success, and…

The theoretical and methodological model of Mathematical Working Space (MWS) is introduced in this paper. For over 10 years, the model has been the object of collaborative research among various researchers, generally coming from French and Spanish speaking countries. Articulating epistemological and cognitive aspects, the MWS model is aimed at…

Education at its best allows students to experience the fruitfulness and joy of the creative process. One complexity of applying research findings to education is that creative work unfolds in phases and the various phases engage distinctively different cognitive processes. Since Wallas first described four phases, psychologists have elaborated on…

This short paper explores the potential contribution of design thinking methodology to the education and training system in South Africa. Design thinking is slowly gaining traction in South Africa. Design Thinking is gaining traction in South Africa. There is offered by the Hasso Plattner Institute of Design Thinking at the University of Cape Town…

Background and Context: Women are underrepresented in the field of computer science, a trend that in part can be traced to girls' early experiences with the discipline. Objective: Our aim is to show how three girls who became strong coders talked about their debugging practice at the intersection of problem solving, emotion, and identity. Method:…

Differences exist between engineering and liberal arts students because of their educational backgrounds. Therefore, they solve problems differently. This study examined the brain activation of these two groups of students when they responded to 12 questions of verbal, numerical, or spatial intelligence. A total of 25 engineering and 25 liberal…

The primary purpose of this paper is to introduce essential elements of cognitive information processing (CIP) theory, research, and practice as they existed at the time of this writing. The introduction that follows describes the nature of career choices and career interventions, and the integration of theory, research, and practice. After the…

Engineering Habits of Mind (EHoMs) were first introduced to a target group of Year 9 (age 14) students who the authors felt were disengaged with science, technology, and computing. These students were invited to take part in an engineering challenge with a school in Qatar. This involved making a bridge and rolling a marble over the bridge. The…

This book examines research on creative thinking, both current and historical. It explores two dimensions of human thought (time and space) and two modes of thinking (conscious and unconscious) as well as both left and right brain functions and artistic and scientific creative activities. The book proposes a "Double Circulation" model of…