This paper uses a post-qualitative philosophical perspective to find new ways of understanding teaching and learning. The paper presents a series of examples that were used in a longitudinal study, with the aim of creating variation patterns that would make it possible for students to discern the use of the four basic arithmetic operations in…

Decision-making and design in uncertain situations in which information is limited and goals are ambitious or conflicting are a part of common practices of engineers. Such abilities in engineering practices are important to develop for all students from elementary school through college and graduate school. An important aspect of decision-making…

"Developing Creativity in the Classroom" applies the most current theory and research on creativity to support the design of teaching and learning. Creative thinking and problem solving are at the heart of learning and application as students prepare for innovation-driven careers. This text debunks myths about creativity and teaching…

This chapter identifies the ways in which 15 prospective teachers engage the strands of mathematical proficiency as they solve word problems involving integer addition and subtraction. The prospective teachers, through think-aloud interviews, demonstrated a strong focus on solving problems using procedures, which some did not explain and others…

Recent works on Intelligent Tutoring Systems have focused on more complicated knowledge domains, which pose challenges in automated assessment of student performance. In particular, while the system can log every user action and keep track of the student's solution state, it is unable to determine the hidden intermediate steps leading to such…

Issues of equity exist within classrooms just as they exist more broadly within society in general. This paper looks at issues of equity affecting access to learning for girls working on challenging mathematical tasks in collaborative groups with boys. It examines measures that teachers can take to mitigate inequity and foster a culture within…

This paper addresses the need for empirical research on the processes by which students create algorithms. I analyse the collaborative work of three high-school students on a contextualised graph theory task, in which they created an algorithm for maximising the happiness score of a seating arrangement. The group found an optimal arrangement but…

Probability and independence are difficult concepts, as they require the coordination of multiple ideas. This qualitative research study used clinical interviews to understand how three undergraduate students conceptualize probability and probabilistic independence within the theoretical framework of APOS theory. One student's reasoning was…

In this study, the elements of the design and results of the implementation of a Massive Open Online Course (MOOC) based on the problem solving and the use of digital technology are analyzed and discussed. The results show that the design of the activities, the intervention of the MOOC design team in the discussion forums and the interaction among…

While many U.S. adult education programs and policies (including the Workforce Innovation and Opportunity Act (WIOA)) focus on low literacy skill as a barrier to employment, this study recognizes the role of increasing numeracy skill as critical in reducing the probability of unemployment. This study used a series of regression analyses to examine…

This case study explores how a problem-based learning (PBL), graduate education course could be organized in ways that utilize the current knowledge of how people learn within diverse, real world community settings. Students were asked to identify an educational enterprise and a social problem within a culturally diverse, high-need community.…

The effectiveness of educational games is contingent upon players staying engaged. When players become stuck, the availability of in-game instructional guidance can help them to overcome obstacles and continue to progress. In this study, we examined the impact of different formats for instructional assets designed to support learners as they play…

The primary purpose of this study is to investigate CT skills development process in learning environments. It is also aimed to determine the conceptual understanding and measurement approaches in the studies. To achieve these aims, a systematic research review methodology was implemented as the research design. Empirical studies on computational…

The study aims to identify the degree of using meta-cognitive thinking strategy skill that relates to problem solving by teachers in the State of Kuwait and to investigate whether there is a statistical significance of using the skills of meta-cognitive strategies on solving problem related to their years of experience and their educational area.…

Team-based learning (TBL) is a non-traditional method of instruction that utilizes permanent teams working together to solve problems and make decisions. The authors extend the prior TBL criminal justice literature through a detailed explanation of the use of application-focused activities in the classroom. Specifically, application-focused…