Inquiry-based learning (IBL) in mathematics is a student-centered approach that encourages exploration, problem-solving, and critical thinking, allowing students to actively engage with mathematical concepts and discover relationships through hands-on activities and collaborative learning. Despite the growing interest in IBL within mathematics…

This study investigates the problem-solving strategies employed by ninth-grade students when addressing symbolic and real-world contextual problems involving trigonometric ratios. Conducted with 46 ninth-grade students from a Turkish public high school, this research employed a worksheet consisting of six problems aligned with the Turkish…

STEM Problem solving necessitates a substantial amount of specialized domain knowledge. An important element of problem-solving within the domain includes how knowledge is structured and organized in memory to facilitate efficient retrieval of relevant information and future problem solving. In previous studies, however, problem solving and…

Making predictions and observations, interpreting data, and drawing conclusions are all examples of scientific problem-solving procedures. The purpose of this research was 1) to develop scientific problem-solving skills by applying problem-based learning as a basis for students in grade 9 to pass the 70 percent requirement and 2) to study the…

Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…

Teacher gestures support mathematics learning and promote student collaboration. Aligned with speech, gestures can help students to notice the important visual information of geometry tasks. However, students' visual attention to the teacher's gestural cues during collaborative problem solving remains a largely unexplored field in mathematics…

In this paper I analyze a problem solving event in a secondary mathematics classroom. As the event unfolds, the teachers, including me, understand the event as involving interactions that were not related to learning. By adopting an expansive view of learning, I advance a different interpretation, that the interactions tell a story of student…

This study examined "backward transfer," which we define as how students' ways of reasoning about previously encountered concepts are modified when learning about new concepts. We examined the backward transfer produced when students learned about quadratic functions. We were specifically interested in how backward transfer may vary for…

Student perceptions of science teaching could be expected to differ in grade 6 compared with teaching in grade 9, as could student interest in science learning. To compare Estonian grades 6 and 9, lower secondary school student and science teacher perceptions of teaching/ learning approaches as well as student perceived interests/enjoyment on…

In this study, I explored how (a) a team-based instructional method rather than a one-teacher-one-classroom, traditional teaching model and (b) an inquiry-based learning approach affected teachers attitudes and self-efficacy for teaching and students attitudes, self-efficacy, engagement, and connections to school. The study was conducted within…

Students are expected to use the Cartesian plane to represent and reason about mathematical concepts such as number systems, geometric figures, and functions. However, the simplicity of representing mathematical concepts that the Cartesian plane provides can cause us to overlook the difficulties many students have in constructing and using it.…

This study was conducted while 9th grade students learn to solve inequalities and seeks to understand their approach to solving problems with a real-life context. Specifically, the aim is to understand: (1) What are the main characteristics of the students' approaches to the proposed problems? (2) What is the impact of the real context on the…

Mathematical problem-posing and modeling are essential skills in developing students' analytical thinking and problem-solving abilities. This study aims to examine correlation between 9th-grade students' problem-posing and mathematical modeling skills within the learning domain of numbers and algebra. Additionally, it evaluates students'…

Being able to learn from failure is a fundamental skill for a scientist, as scientists often learn from failure in practical work by trialling and refining experimental designs, improving calibration techniques, and hypothesising and testing expected outcomes. This qualitative, practice-based study describes how junior secondary science teachers…

It is considered important to clarify the role of technology and engineering education for evolving STEM/STEAM education in each country. However, in Japan, unlike in other countries, the focus on STEAM education began after 2018, so the relevance of STEAM education to technology and engineering education has not yet been fully discussed.…