In this article the authors describe how standard textbook questions can be turned into open questions to promote problem solving and reasoning. Six example solutions are given to one problem showing how an open problem can cater to the diversity of students in your class.

Agency is a core pedagogical goal of the maker education movement. However, there are still many unknowns about how agency is identified in maker settings. To document maker educator professional visions of agency, we conducted video-cued interviews with eleven U.S-based maker educators using video clips of families making in a drop-in…

Many empirical studies about STEM (science, technology, engineering, and mathematics) curriculum present problems for students to solve. This paper draws upon the data collected from the enactment of an integrated STEM curriculum to discuss problems as constitutive of problem spaces where four Grade 5 Singapore students engage with the…

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…

Word problem-solving is one major area in mathematics that has been identified as being particularly challenging for students, specifically for those with learning disabilities (LDs) and emotional and behavioral disorders (EBD). This study aims at evaluating the effects of a strategic math intervention with concept maps on the ability to solve…

This study aims to provide a comprehensive analysis of the implementation of Pancasila learning with the goal of improving critical thinking skills through the application of the six thinking hats model. The research adopts a descriptive approach utilizing qualitative methods. The study was conducted at the Faculty of Engineering, Universitas…

The aim of this study was to investigate the correlation between culturally relevant Black American-sounding names and potential racial microaggressions within problem-solving scenarios in mathematics. Often, marginalized groups are unfairly characterized in society, leading to biased perceptions. Initially, I hypothesized that there would be no…

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…

Mathematical word problems present various challenges for students, including English learners. Research on word problem-solving interventions for elementary English learners with or at risk for mathematics disabilities/difficulties was reviewed. A systematic search of studies conducted between 2012 and 2022 yielded a total of 14 research studies…

There is a heightened concern over undergraduate students being over-reliant on Generative AI and using it recklessly. Reliance behaviours describe the frequencies and ways that people use AI tools for tasks such as problem-solving, influenced by individual factors such as trust and AI literacy. One way to conceptualise reliance is that reliance…

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…

This study investigated the extent to which domain-general and domain-specific antecedents contributed to pre-algebra's initial level and growth rate among students who experience word-problem difficulty (WPD). We examined if such a profile differs for English-language learners (ELLs; n = 75) and non-ELLs (n = 55) with WPD. We assessed 130 U.S.…

Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…