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…

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 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,…

Resurgence is the recurrence of target behavior (e.g., challenging behavior) during a worsening of reinforcement conditions (e.g., increases in response effort, decreases in alternative reinforcement). Previous studies have examined the prevalence and magnitude of resurgence during functional communication training implemented with discriminative…

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 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…

Performance assessment through problem-solving or problem-posing provides benefits in learning mathematics. This study aims to obtain empirical evidence about the effects of performance assessment and metacognition on senior high school students' mathematics achievement. A quasi-experimental method was employed to engage 163 students in four…

Since Bruner's introduction of discovery learning in the 1960s, there has been an ongoing and intensive debate on the value of inductive teaching methods (e.g., problem-solving followed by instruction, such as in problem-based learning and productive failure) compared to deductive teaching methods (instruction followed by problem-solving, such as…

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…

Building proficiency with fraction arithmetic poses a consistent challenge for students with learning difficulties or disabilities in mathematics. This article illustrates how teachers can use the number line model to support struggling learners in making sense of fraction arithmetic. Number lines are a powerful tool that can be used to help…

The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…

This research, conducted between 2020 and 2024 in Romania, investigates the challenges and strategies related to teaching and solving mathematical word problems, based on insights from 163 teachers of grades 0 to 8. The study found that students often experience anxiety when solving word problems, especially during exams, due to difficulties with…

This paper explores the integration of Sustainable Development Goals (SDGs) into service-learning for fostering global citizenship and addressing societal challenges. Beginning with an overview of the complex issues facing society in the 21st century, this paper emphasizes the importance of engaging students in critical thinking, problem-solving,…

The use of interactive learning methods is considered crucial in equipping university students with critical skills. This could successfully deal with, and address issues encountered in real-world contexts. It has been noted that most first-year university students often face challenges adjusting to university life due to their background. The…