Using data from a problem-posing project, this study analyzed the characteristics of middle school students' responses to problem-posing prompts that did not match our assumptions and expectations to better understand student thinking. The study found that the characteristics of middle school students' unexpected responses were distributed across…

This study aims to reveal the mathematical reasoning process of 8th-grade students and the reasoning indicators they use in this process. The study was carried out in line with the data obtained from the Mathematical Reasoning Test (MRT) administered to 292 8th-grade students. The mathematical reasoning performances of the participants were…

Uncertainties are inherent in education as learners encounter gaps in their awareness of topics, receive new information that potentially conflicts with prior understandings, and grapple with known unknowns in order to construct new knowledge. While researchers have shown that students productively struggling with problematized and uncertain…

Productive struggle is crucial to students' mathematics learning. However, it has proven difficult for teachers to sustain struggle when it is productive or make it so when it is not. Studies show that teachers may offer students support when their struggles are productive or even refrain from offering support when students' struggles are…

The purpose of the case study was to understand the use of technology, particularly AI, for public middle school teachers in Michigan for critical thinking and problem-solving skills among students. The theory that guided this study was the constructivist theory. The constructivist learning theory involves people learning from their experiences…

Students often perform arithmetic using rigid problem-solving strategies that involve left-to-right-calculations. However, as students progress from arithmetic to algebra, entrenchment in rigid problem-solving strategies can negatively impact performance as students experience varied problem representations that sometimes conflict with the order…

Motivating students in mathematics requires innovative and engaging approaches. This Spotlight explores strategies to foster a love of math and cultivate students' problem-solving abilities. From creating motivating classroom environments to connecting math to potential careers, these articles offer valuable perspectives. Discover how to build on…

Through a qualitative case study approach, this study sought to understand how an independent school for gifted learners supports parents, teachers, and students in maximizing the potential of twice-exceptional learners. Findings indicated that the school's success in working with twice-exceptional learners could be attributed to a triangular…

The main purpose of this research is to examine the informal strategies of fifth and sixth grade students while solving inverse proportional word problems. Multiple case study was used in this study. The research was carried out in a public middle school from a southern city of Türkiye. The participants of the research consist of three fifth and…

Students frequently struggled with the mathematizing process -- forging connections between implicit and explicit mathematical thinking -- when solving a context-rich applied problem. The current research investigated how students interact with and leverage purposively designed "mathematizing" supports when solving applied math problems…

Computational thinking is an essential ability for students in the 21st century. Therefore, this study described students' mathematical computational thinking process in terms of self-efficacy of eighth graders, consisting of 32 students. The applied instruments were self-efficacy questionnaires, computational thinking ability tests, and interview…

Despite the growing use of the Internet as a source of information for learning, few studies have focused on developing strategies to teach the skills of reflecting on and evaluating the contents and structure of the texts found online. In response to this, we designed and tested a method for teaching reading literacy based on an adaptation of the…

The current study explores the connection and affordances of talk and gesture in collaborative science problem-solving activities using an emerging analytical approach. A total of 15 three to five-member groups of middle school students participated in a set of clinical collaborative science problem-solving activities. Six groups (three low- and…

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…

To help young students succeed in problem-based learning (PBL), researchers suggested investigating students' need for cognition (NFC), one's inclination to exert mental effort during learning. How one puts mental effort into a learning task is related to motivation. If motivated, students are more likely to engage in challenging tasks, put in…