Despite substantial evidence for the link between an individual's intelligence and successful life outcomes, questions about what defines intelligence have remained the focus of heated dispute. The most common approach to understanding intelligence has been to investigate what performance on tests of intellect is and is not associated with. This…

For integrals consisting of rational functions of sine and cosine a set of little known rules known as the Bioche rules are considered. The rules, which consist of testing the differential form of the integral for invariance under one of three simple substitutions x [right arrow] -- x, [pi] -- x, and [pi] + x, allow one to decide which of the…

Many challenges are identified when students solve mathematic problems especially in solving probability word problems. This study was conducted to identify the major challenges faced by matriculation college students while solving the probability of an event word problem. Seven matriculation college students were the sample for this case study.…

Peers play an important role in an individual's learning via collaboration. This study examined three semesters worth of student data collected through collaborative exams in a calculus-based introductory physics course. Participants were asked 142 physics problems over two rounds, and they answered the problems first individually (first round)…

When participants engage twice in the same creative problem-solving task with educational robots, they have the possibility to repeat the same solution, allowing them to complete the task faster, or to show a creative intention and behavior, engaging them in developing a new solution. In this study, we aim to analyze the creative process…

Discrete mathematics and mathematical modelling, along with the educational discourse surrounding these, have many connections. However, ways that the educational discourse on discrete mathematics can benefit from the inclusion of examples of mathematical modelling and the accompanying discussion are currently under-researched. In this paper, we…

This work reports the results of an investigation that aimed to know the informal reasoning of high school students with and about the frequency approach of probability and the law of large numbers when they were faced with a problem about random intervals. The research question was as follows: What features of students' reasoning about the…

Multilingual learners (MLs) encounter key language features that influence their mathematical word problem-solving processes. Much of the readily available literature surrounding MLs' experiences in the mathematics classroom explores either their content knowledge or how language affects their mathematics achievement. Far less literature has…

The study assessed scientific knowledge and fourth-generation learning skills (4GLSs), including cognitive, information technology, creative thinking, and problem-solving skills, among University of Jeddah students in Saudi Arabia. We aimed to identify 4GLSs based on recent scientific research, construct scales to measure them, define the…

This research examined the impact of the Cognitive-Communicative (C-C) model as a pedagogical strategy for teaching algebraic word problems (AWPs). The C-C model integrates structured dialogue, concept clarification, and systematic problem-solving steps to enhance students' comprehension and reasoning. Employing a mixed-methods framework, the…

Understanding and supporting pre-service teachers' creativity in collaborative instructional design has gained increasing attention. To design novel and effective learning experiences or activities for students, they need to build empathy with students, that is, understanding students' learning needs. This study aimed to (1) explore the patterns…

Information problem solving (IPS) is an important twenty-first century skill, but it is lacking at all age levels. One type of information problem, those of an ill-structured nature that require multiple iterations of (re)defining problems and formulating emerging solutions, can be particularly challenging but have received less attention in the…

This study examines the effects of the pedagogical use of context-rich problems on motivation and learning, as compared to traditional problems, in mechanical physics courses at the college level. The results indicate that the treatment has appreciable outcomes on conceptual learning gain, on the perception of task value and on a perceived sense…

The architecture of the micro-learning platform mixed with gamification via metaverse is a research tool that was initiated by the concepts of micro-learning integrated with the gamification mechanism. It is intended to be employed as a guideline for the instruction management that encourages learners to perform self-learning with small or short…

Intelligent tutoring system (ITS) provides learners with step-by-step problem-solving support through scaffolding. Most ITSs have been developed in the USA and incorporate American instructional strategies. How do non-American students perceive and use ITS with different native problem-solving strategies? The present study compares Stoich Tutor,…