Problem posing research in mathematics education has increased in the last decade. As a result, the intent of the present study is to examine and summarize the research that has been conducted. Specifically, we examined articles published from 2011-2020 that studied the impact of problem-posing instruction on students' problem-solving abilities.…

Research literature about visually impaired students' approach to mathematics is still very scarce, especially in the case of algebra, even though mathematical content is becoming increasingly accessible thanks to assistive technologies. This paper presents a case study aimed at describing a blind subject's process of algebraic symbol manipulation…

This study investigates the ability of ChatGPT to generate mathematical problems creatively, focusing on fluency, flexibility, and originality. The findings indicate that ChatGPT can produce a vast number of problems, demonstrating a high level of fluency. Additionally, it tends to prioritize the most original problem among its generated outputs.…

Productive struggle (PS) has emerged as a critical construct in mathematics education, emphasizing the importance of persistence, cognitive engagement, and conceptual understanding in problem-solving. However, inconsistencies in its conceptual and operational definitions have hindered its effective implementation and assessment. This study…

This study addresses a gap in the empirical research about how students use computational thinking (CT) skills throughout the problem-solving process, which is a crucial skill for STEM learning. I conducted task-based interviews with two pairs of Year 8 students with strong mathematical problem-solving skills and previous experience in solving…

Detailed mathematical reasoning abilities can help students to understand higher mathematical abilities, including proving, problem-solving, and critical thinking. However, based on surveys and research, students' mathematical reasoning abilities are low and require significant attention. Therefore, this study aims to gain a detailed picture of…

Background: Game-based learning can frame problem-solving as a sense-making experience with domain-specific tasks for school students. However, multiple challenges arise when trying to support learners in such a complex, problem-oriented learning environment. Objectives and Methods: With an architecture-themed mathematics learning game, we…

In the literature in recent years, a number of developmental studies have demonstrated the importance of children entering the school environment with a solid foundation of mathematical content knowledge and argued that problem solving, as an important mathematical process, should be acknowledged in early childhood mathematical education. However,…

This article presents several mathematics problems on the same theme that can be used in class or for independent study. It is very difficult to show students how mathematics research is done by mathematicians, so the author first introduces a problem that can be tackled solely by arithmetic and then gives an idea of how a mathematician might…

Even at the primary level, computational thinking (CT) can support young students to prepare for participating in futures that are immersed in data. In mathematics classrooms, there are few explanations of the ways CT can support students in formulating and solving complex problems. This paper presents an example of a primary classroom…

Students have varying degrees of creativity and can develop their creative abilities in specific disciplines through various stimuli. Tracing the students' mathematical creativity is very important since creativity is not a gift for specific students; rather, all students have it. The participants of this study were 170 urban and rural middle…

Math modeling is a unique and powerful part of mathematics that is underutilized in contemporary classrooms. Teachers of all grade levels may utilize such modeling problems to better serve the students in their classrooms, with related analytical problem-solving activities that contribute to learners meeting the highest of learning standards. With…

The literature on proof by contradiction (PBC) is nearly unanimous in claiming that this proof technique is "more difficult" for students than direct proof, and offers multiple hypotheses as to why this might be the case. To examine this claim and to evaluate some of the hypotheses, we analyzed student work on proof construction problems…

Singapore students have consistently demonstrated outstanding levels of performance in mathematics and problem solving captured in international assessments. However, these stellar results stand in contrast to Singapore's real-world problem-solving capacities, evidenced by her diffident innovation levels and a limited talent pool with…

Parental involvement in children's education has benefits throughout a child's academic career. Researchers and educators have developed parental involvement programs, the most effective being those that teach parents to understand open-ended mathematics problems, allowing time for children to think, share their mathematical understanding, and…