One hundred years ago, Paul Weiss and Ludwig von Bertalanffy independently proposed that living organisms interact with their environment through systems. In the century that has followed, systems thinking and modeling have grown in tandem with discovery of the vast complexity of the universe at microscopic through astronomic levels. As our…

Learners in general struggle when working with word problems. South African learners in particular have an added barrier owing to the many official languages that have been legislated. The South African Department of Basic Education, through its curriculum statements, envisages that problem solving will play a fundamental part in mathematics…

In this article, the author will demonstrate how gestures--often used in combination with offloading information on scratch paper--can be used to help students with difficulties in mathematics succeed with secondary level algebra. The authors will provide key examples from three studies of the algebra learning of students with mathematics…

This qualitative case study aimed to explore how novice instructional designers solved a real-world problem by proposing an instructional design model in Second Life. Twenty-one novice instructional designers who enrolled in a Distance Education course were tasked with proposing an instructional design model to solve the high drop-out rate problem…

Mathematical representations are 'visible productions' that embody mathematical ideas. The author guides teachers with suggestions for the use of representations in mathematical problem solving with students. Representations can be used to help make abstract mathematical ideas accessible, allowing teachers and students to interpret, communicate,…

The aim of this study was to explore how first-time problem-based learning (PBL) participants can improve their learning outcomes. Empirical results showed that students with higher academic performance and attendance rates significantly enhanced their critical thinking and problem-solving skills through PBL compared to traditional lecture-based…

This study explored learners' experience in an online problem-based learning (PBL) Moodle class. Additionally, an assessment of the PBL approach in enhancing collaborative learning was done to evaluate its effectiveness in eLearning. Lastly, the researchers make recommendations for an effective adoption of PBL in Moodle. To achieve this, an…

This research assesses how interdisciplinary pedagogical interventions can prepare students to tackle complex problems, such as the refugee and migrant crisis. The co-authors created a six-week interdisciplinary module, introducing students to refugee and migrant rights, experiences, and challenges from two disciplinary pedagogical and substantive…

The metaverse is defined as an inevitable evolution of the internet and holds great potential as a new medium for social interaction. Its integration into educational environments has been increasingly recommended. This study aimed to explore a technology-supported solution for the challenges experienced in the problem-based learning (PBL) process…

This article explores inquiry-based learning (IBL) pedagogy, particularly in mathematics education, examining how it differs from problem-based learning (PBL) and case-based learning (CBL). IBL is defined as a student-centered approach involving sequenced problems or tasks that build engagement and understanding through group work. While IBL, PBL,…

Random Equating (RE) and Heuristic Approach (HA) are two linking procedures that may be used to compare the scores of individuals in two tests that measure the same latent trait, in conditions where there are no common items or individuals. In this study, RE--that may only be used when the individuals taking the two tests come from the same…

The hanging rope problem is considered. The rope is subject to rotation with the rotation axis being parallel to the rope. Using a continuum model and the basic principles of dynamics, the differential equation governing the motion is derived. The dynamic equilibrium case without vibrational motion is assumed in deriving the equation. The equation…

Drawing upon social learning theory, this study discusses entrepreneurial learning by including personal, social, and environmental factors as drivers of entrepreneurial learning and simultaneously exploring their mediator and moderator. Empirical tests are conducted using the data of graduate students in Taiwan. The test results show (1)…

Special tutorials both online and off-line were experimented in order to provide extra support for the senior pre-service mathematics teachers at an Australian regional university to improve their learning experience and achieve the best possible learning outcomes in an advanced mathematics course focusing on solving ordinary differential…

This study assessed the effectiveness of modified schema-based instruction (MSBI) in teaching students with autism spectrum disorder (ASD) how to solve additive compare word problems. The study was conducted in Spain, and it involved three students with ASD who were 6, 7, and 9 years of age. A single-case, multiple-baseline across-students design…