This paper analyses learners' common errors in simplifying algebraic problems. 102 Grade 10 learners from three rural schools in South Africa participated in the study. Following a quantitative approach, content analysis of learners' responses to algebraic tests revealed that while learners commit several errors in algebraic problems, encoding and…

Problem posing is a promising teaching method for enhancing motivation and performance in mathematics and more specifically in mathematical modelling. Hence, the goals of our study were twofold: (1) to examine the effects of problem posing on modelling performance, self-efficacy, and task values in solving modelling problems, and (2) to analyze…

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…

Problem framing is an essential yet under-explored aspect of problem-based historical inquiry. This study investigated how tenth-grade students in one AP US History class framed an ill-structured historical causal reasoning problem. Data included students' written brainstorms, students' responses to open-ended interview questions, and…

The current research implemented the Predict Observe and Explain (POE) instructional approach in mathematics and examined its efficacy in enhancing students' understanding of functions in terms of their ability to connect algebraic and graphical representations in optimization problems. Two grade 11 classes (40 students in total) and two grade 10…

Environmental pollution is a critical issue that requires students to develop strong reasoning and problem-solving skills to understand and address its complexities. However, traditional learning models are not optimal in fostering high-level thinking skills. This study aimed to determine the effect of the PBL-STEM model on deductive, inductive,…

The purpose of this study was to investigate the types of errors grade 10 students make in solving selected trigonometry problems. Another aim was to understand the origins of these errors that Students make when solving trigonometry problems. Another central purpose of the study was to provide instructional recommendations for addressing the…

Incorporating open-ended real-world tasks enhances students' access to mathematical and real-life knowledge and maximizes learning experiences. This article examines how a secondary mathematics teacher used an open-ended problem on distributing pay raises to teach mathematical concepts and fairness to students. The teacher's actions exemplify…

The purpose of this study was to explore the effect of visually assisted guided discovery learning strategy on grade 10 students' problem solving skills of learning plane geometry in Woldia City, North Wollo, and Ethiopia. A nonequivalent quasi-experimental pretest-posttest-control group design and a case study design were used. The population of…

Despite the recognized efficacy of project-based learning (PBL) in fostering students' conceptual understanding, there is a notable gap in comprehensive research on its cross-disciplinary aspects, especially within the Lebanese context. This study seeks to investigate the impact of the Cross-Disciplinary Project-Based Learning Approach (CDPBLA) on…

Background/purpose. Innovative thinking and meta-skills are needed to solve difficult problems in the 21st century, but standard training techniques often fail. The fact that only 6% of pupils are innovative thinkers highlights a major educational gap. The GENICS learning approach (Grouping, Exploring, Discussion, Individual Activity, Combining,…

In this paper, we raise questions about the role of student empathy and compassion when engaging with social and environmental justice issues -- significant in a world where challenges associated with such disruptions are faced daily. We draw on data from a larger, nationally funded study on enabling students' critical mathematical thinking. These…

This quantitative study examined Lebanese secondary school students' attitudes toward socio-scientific issues (SSIs), focusing on climate change as a representative topic due to its social, economic, and political complexities. A sample of 130 students from grades 10 to 12 in Lebanese private schools completed the Attitudes Toward Socio-scientific…

This research aims to explore both the individual and combined relationships between the use of GeoGebra and productive disposition with students' strategic competence. The use of GeoGebra involves teacher-led activities designed to assist students in managing and engaging with learning, serving as a tool to enhance mathematics learning outcomes.…

Background/purpose: This study aims to evaluate the effectiveness of using E-Module-based Problem-Based Learning (PBL-EM) in improving the mathematical communication skills of Senior High School students based on their cognitive style on mathematical logic material. Materials/methods: This study used a mixed design with an embedded design approach…