This article presents an analysis of the Dutch field of education by drawing on interviews and observations from long-lasting relationships with experts in the field. Studying how these "key players" discuss the educational field, we explore how the lack of effective solutions may be related to the ways in which leading educational…

As a person obsessed, perhaps overly so, with preventing water damage, an ailing dishwasher led to a system whereby who did the dishes in our household became a matter of chance. What happened next, however, was besmirchment of my character from hockey teammates, close friends, and especially from a room full of future elementary school…

In this dissertation, I utilize the post-structural philosophy of Gilles Deleuze and Fe´lix Guattari as a lens for investigating the proof process. Deleuze and Guattari were both post- structural philosophers who, like many in this tradition, troubled traditional notions related to stable identities, meaning, language, and mathematics. For…

Holistic higher-order thinking (H-HOT) is needed by someone who lives in the 21st century to solve environmental problems. This study aims to determine the ability of H-HOT to solve environmental problems in undergraduate students of biology and biology education programs in Indonesia. The research used a survey method. The sample was taken using…

Purpose: The purpose of this paper reporting an exploratory pilot study is to examine how participant engagement in design thinking varies when playing and fixing (playfixing) three partially complete games (broken games). Design/methodology/approach: The data for this study consist of transcripts of five playfixing sessions with a total of 16…

The current study explores the connection and affordances of talk and gesture in collaborative science problem-solving activities using an emerging analytical approach. A total of 15 three to five-member groups of middle school students participated in a set of clinical collaborative science problem-solving activities. Six groups (three low- and…

Early number skills represent critical milestones in children's cognitive development and are shaped over years of interacting with quantities and numerals in various contexts. Several connectionist computational models have attempted to emulate how certain number concepts may be learned, represented, and processed in the brain. However, these…

Problem-solving is at the core of engineering design, being fundamental for systematic innovation. During their education, students are taught numerous methods and tools, despite that literature shows debatable results regarding their real impact. Consequently, this study aims to quantify the relative impact of design methods on undergraduate…

This paper is written as a guide for any instructor seeking to develop the mathematical modeling process or open-ended problem solving in their courses. We describe a pedagogical approach to create mini modeling problems to develop the modeling process. These are problems that fall between traditional homework problems and open-ended modeling…

Hackathon has been growing and taking various industries by storm thanks to its flexibility and ability to fit into them. It has been proven successful and helpful in solving different IT and non-IT challenges. They also serve as an intriguing educational and networking tool, encouraging people to pursue innovative studies and activities. However,…

A retrospective review of 50 years of research and development experience showing the connectedness of the author's theoretical ideas to practical application. An effort to show designers how over the span of a career new ideas begin as work-related insights and discoveries that by problem solving flow together to create a unique personal view of…

Experimental research on perception and cognition has shown that inherent and manipulated visual features of mathematics problems impact individuals' problem-solving behavior and performance. In a recent study, we manipulated the spacing between symbols in arithmetic expressions to examine its effect on 174 undergraduate students' arithmetic…

Detailed mathematical reasoning abilities can help students to understand higher mathematical abilities, including proving, problem-solving, and critical thinking. However, based on surveys and research, students' mathematical reasoning abilities are low and require significant attention. Therefore, this study aims to gain a detailed picture of…

Not only children but also adolescents and adults encounter great difficulties in learning to reason proportionally. Despite these difficulties, research increasingly shows that proportional reasoning emerges early, before it is being instructed in school. There have however been very few attempts to stimulate this early emerging ability. The aim…

Background: Game-based learning can frame problem-solving as a sense-making experience with domain-specific tasks for school students. However, multiple challenges arise when trying to support learners in such a complex, problem-oriented learning environment. Objectives and Methods: With an architecture-themed mathematics learning game, we…