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,…

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,…

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…

The issue of students' difficulties in solving context-based mathematics problems has been extensively investigated by numerous studies. However, limited study focus on how pre-service primary school teacher (PSPSTs) encounter difficulties in solving context-based fundamental mathematics problems. To fill this gap, this study aims to investigate…

Word problem solving is an approach that can increase knowledge, improve performance and develop learners' critical thinking skills that can assist them in solving mathematical and real-life problems. This study examined the effectiveness of using a word problem solving approach to improve Grade 3 learners' performance when learning addition and…

Previously, we described a Team-Based Ubiquitous Learning Model on Cloud Platform Model (PITTA Model). In this paper, we aimed to demonstrate the value of this model by compare learning achievement and creative problem-solving ability using the PITTA model of learning, compare between experimental group and control group by The Randomized…

The ability to think critically is an important and valuable skill that students should develop to successfully solve problems. The process of writing requires critical thinking (CT), and the subsequent piece of text can be viewed as a product of CT. One of the strategies educators may use to develop CT is modelling. Given ChatGPT's ability to…

This study focuses on the development and evaluation of a challenge-based hybrid learning approach utilizing a virtual board games platform to enhance international standard student competency. Our research applies educational management theories to challenge-based learning, providing learners with diverse opportunities for engagement,…

Democracies expect citizens to engage actively in public life by making decisions about political issues that are frequently ambiguous, with strong moral and emotional implications, and often subject to misinformation and manipulation. Strong critical thinking (CT) appears therefore as a crucial component of a reflective democratic citizenship.…

In the 21st - century skills - oriented education, this study aims to bridge the gap in traditional mathematics teaching, which often addresses teamwork and problem - solving skills independently. It focuses on designing and assessing an integrated instructional model using Problem - Based Learning (PBL) via Collaborative Learning (CL) to equip…

The interweaving of various societal challenges into polycrisis makes resolving nowadays wicked problems increasingly complex, asking for a transformation of both our design and our education practices in the Global North. In this paper, we describe why and how we are developing and researching a multi-actor educational and learning environment…