In application-oriented mathematics, particularly in the context of nonlinear system analysis, phase plane analysis through SageMath offers a visual display of the qualitative behaviour of solutions to differential equations without inundating students with cumbersome calculations of the plane-phase. A variety of examples is usually given to…

This study explores opportunities to learn definite integrals in three widely used textbooks in the U.S. Definitions, worked examples, and exercise problems were coded using research-based cognitive resources in definite integrals. The results show that limited opportunities for students to explore multiplicative relationship between two…

One of the most difficult types of arithmetic word problems in primary school is compare problems. Among these problems, the most problematic are those in which the relational term is not consistent with the arithmetic operation required for the solution. This study investigates how 10-11-year-old primary school pupils' read and interpret compare…

To become proficient problem solvers, science and engineering students have to acquire the skill of self-regulating their problem-solving processes, a skill supported by their metacognitive abilities. The Disciplinary Learning Companion (DLC) is an online tool designed to scaffold students' use of metacognitive activities through…

A Chinese financial company, through the introduction of action learning methodology, identified core problems from strategy, and finally solved the core strategic problems by forming action learning teams of middle and senior managers, and in the process improved the mindset and capabilities of middle and senior managers. This account of Practice…

It is crucial nowadays to predict in a fast and simple manner physical-chemical behaviors like, the size-dependent optical properties of gold nanospheres (Au NSs). The idea behind this experiment is trying to replace (as much as possible) robust and expensive microscopy techniques with UV-vis spectrophotometry and friendly simulations. Students…

Moral decisions often involve dilemmas: cases of conflict between competing obligations. In two studies (N = 204), we ask whether children appreciate that reasoning through dilemmas involves acknowledging that there is no single, simple solution. In Study 1, 5- to 8-year-old US children were randomly assigned to a Moral Dilemma condition, in which…

Spatial thinking is essential for nurturing spatially literate graduates in tertiary education. However, there is limited research on individual differences in cognitive processes and their impact on spatial problem solving in disciplinary contexts. This study aimed to investigate cognitive processes involved in spatial thinking in geography…

The purpose of this study was to investigate the types of errors grade 10 students make in solving selected trigonometry problems. Another aim was to understand the origins of these errors that Students make when solving trigonometry problems. Another central purpose of the study was to provide instructional recommendations for addressing the…

The aim of this study was to examine how pre-service teachers performed in tasks related to three specific aspects of curricular noticing. The participants completed a two-part written task in which they solved three pattern generalization problems and sequenced them for teaching purposes. Inductive content analysis was used to analyze the…

Background: Based on the embodied cognition perspective, interdisciplinary hands-on learning combines several disciplines, such as science, technology, engineering and mathematics (STEM), to improve students' capacity to solve real-world problems. Despite the popularity of interdisciplinary hands-on learning, particularly the six-phase 6E model,…

Background: For learners with intellectual disability, it is a challenge and crucial issue to foster their life skills. These learners generally encounter several problems during the learning process, such as difficulties paying and maintaining attention, difficulties with memory and application and slow learning ability. Life skills training can…

This study aimed to examine an assumption regarding whether generative artificial intelligence (GAI) tools can overcome the cognitive intensity that humans suffer when solving problems. We examine the performance of ChatGPT and GPT-4 on NAEP science assessments and compare their performance to students by cognitive demands of the items. Fifty-four…

This opinion piece argues that Design Thinking (DT) can facilitate a more empathetic and student-centred approach to service development and problem-solving in Learning Development (LD). While DT is already established within higher education, we argue it is still underutilised, especially in the context of LD. We start by unpacking the…

Life education is an essential element of suicide prevention in colleges. However, the existing practice of life education in China may be insufficient to match the new spectrum of students' knowledge needs. The study exemplified the participants' responses to common suicide myths with a 3-year follow-up investigation (Study 1), and the optimal…