Engaging in the construction and interpretation of graphs is a complex process involving concerted activation of context-specific cognitive resources. As students engage in this process, they apply fine-grained, intuitive ideas to graphical patterns: graphical forms. Using data involving pairs of students constructing and interpreting graphs, we…

Topology is considered an advanced field in mathematics, and it might seem off-putting to people with no previous experience in mathematics. The classification theorem, which lies within the field of algebraic topology, is fascinating, but understanding it requires extensive mathematical knowledge. In this manuscript, we present a modular object…

Rationality is the cornerstone of our mainstream education. However, in varying degrees, we use intuition in our daily lives. According to Carl Jung (1921/2016), intuition is one of four major functions of the human mind, along with sensation, thinking, and feeling. If there is a domain of intuition, education should develop it as a complementary…

The starting reasoning and promoting switch from intuitive system 1 to deliberate system 2 for provoking creative thinking is lacking feasible model, especially during the global pandemic. We established a visible, trainable and learnable (VTL) model with digital technique to promote this dual switch for creative thinking. This study was…

Broadly speaking, many physicists value intuition in their work, and many instructors hope their students develop intuition (while possibly being wary of their initial, unrefined intuitions). These considerations are especially relevant in quantum mechanics, a subject many see as counterintuitive because it is removed from classical everyday…

Engineering technology students often forgo a methodical approach of solving or answering questions on assignments or exams in favor of an intuition-based approach, emphasizing educated guessing (Broberg et al., 2008). Faculty observations have noted these student solutions often provide explanations, usually sans calculations, to support answers…

Purpose: The purpose of this study is to ascertain which competences are seen by employers as important for accounting students in an emerging economy, to triangulate this list with the experiences of working students and compare with those work competencies acquired during the period of study. Design/methodology/approach: This study employs a…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Mathematical proof is a logically formed argument based on students' thinking process. A mathematical proof is a formal process which needs the ability of analytical thinking to solve. However, researchers still find students who complete the mathematical proof process through intuitive thinking. Students who have studied mathematical proof in the…

Currently, at the beginning of the 21st century's third decade, scientific attention must be focused on modern topics. These challenges include also the paranormal experience of university students. However, many of university executives either downplay it or even reject it. With this behavior, they fail to reveal the important potentials that are…

After targeted instruction designed to improve student conceptual understanding of physics, a significant fraction of students are not able to answer many questions in a consistent manner. Prior research suggests that even those students who demonstrate that they acquired the relevant knowledge and skills (i.e., possess the requisite…

Divergent thinking involves the ability to find many different and new responses or solutions to open-ended problems. The ability to think divergently has been associated with different cognitive processes, including intuitive and rational thinking styles. However, research has not specifically addressed the extent to which divergent thinking is…

As it is already observed by mathematicians and educators, there is a discrepancy between the formal techniques of mathematical logic and the informal techniques of mathematics in regards to proof. We examine some of the reasons behind this discrepancy and to what degree it affects doing, teaching and learning mathematics in college. We also…

A limited mixed-method study revealed that students could alter written style after direct style instruction, but the effect faded quickly. Instead, students reverted to culturally structured intuition to make conscious, contrary choices. Thus, direct instruction in precise forms of style should probably yield to methods that build culturally…

Insightful problem solving is a vital part of human thinking, yet very difficult to grasp. Traditionally, insight has been investigated by using a set of established "insight tasks," assuming that insight has taken place if these problems are solved. Instead of assuming that insight takes place during every solution of the 9 Dot, 8 Coin,…