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.…

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…

This study explores students' use of mathematical objects in each problem-solving phase based on an onto-semiotic perspective. The subjects of this research are students who solve problems in different ways but all with the correct result. The first student uses organizational data by applying the concept of permutations. In contrast, the second…

The application of decomposition strategies (i.e., associative or distributive strategies) in two-digit multiplication problem solving supports algebraic thinking skills essential for later complex mathematical skills like solving algebra problems. Use of such strategies is also associated with improved accuracy and speed in mathematical problem…

In this article, we show how students' productive struggle on a mathematical task can lead to collective mathematical creativity. We use observable (co)actions and interactions from a video record that features three Grade 6 students in a problem-solving session to document the emergence of collective creativity leading to a mathematical solution.…

The reasons for teaching programming in school are indeed manifold. Programming can for example be utilized as a vehicle for understanding and learning particular mathematical subject matter, or as a tool for solving mathematical problems. In this paper, however, we propose to utilize programming as a vehicle for developing mathematical…

This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…

A teacher of mathematics knows mathematics as a teacher and as a mathematician. Whilst the existing research on teacher knowledge contributes to our understanding of the ways of knowing mathematics as a teacher, little is known about ways of knowing mathematics as a mathematician. Guided by the conceptual framework of mathematical practices (MPs)…

This action research aims to develop the ability to solve mathematical problems, particularly in polygons, through open-approach learning management for sixth-grade students, with the goal of achieving an average score exceeding 70% of the total possible score. The target group consisted of eight students in the second semester of the academic…

This investigation explored the role of artificial intelligence (AI)-powered gamification on mathematics cognition through a mixed-methods design, blending an intervention with a gamified learning application (app) and a survey to evaluate student engagement and performance. The study explores the nexus of gamification, AI, and mathematics…

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…

This research was conducted to examine the views of preschool teachers regarding out-of-school learning environments for mathematics activities and their usage of these environments. The research was conducted out using a phenomenological design, one of the qualitative research methods. The study group consisted of 42 preschool teachers working in…

Relations of reading and math skills are well-documented. Using open randomized reading intervention data, we examined a reading intervention's impact on math fluency and problem-solving as well as the mechanisms of reading intervention's relation to math fluency. Twenty-eight teachers and 511 first-grade students (82% White, 6% Hispanic, 53%…

Mathematical problem posing, generally defined as the process of interpreting given situations and formulating meaningful mathematical problems, is academically important, and thus several interventions have been used to enhance this competence among students and teachers. Yet little is known about the interventions' various components and their…

Social interactions, including collaborative problem-solving situations, can trigger critical thinking skills. Giving questions that are not routine can trigger students' critical thinking skills in solving problems collaboratively. This research aims to develop non-routine mathematics problems that can be used to explore students' critical…