Classroom observation is a critical tool for evaluating instructional strategies and their impact on student learning outcomes. This study investigates how implementing systematic problem-solving strategies affects teaching practices, classroom dynamics, and student engagement in Rwandan secondary school physics classrooms. A quasi-experimental…

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…

The research reported in this article sought to develop a taxonomy of grade 11 students' levels of understanding in algebraic problem-solving tasks. The student sample was from high schools in the province of Ontario in Canada. Problems from four areas in algebra namely, variables, expressions, equations and word problems were chosen to be…

In this article, we explored Grade 11 learners' algebraic and geometric connections when solving Euclidean geometry riders. A qualitative interpretive case study design was followed. Thirty Grade 11 learners from a non-fee-paying secondary school in the Capricorn North district of South Africa were conveniently sampled to participate in this…

This dissertation examines the development of combinatorial reasoning in high school students through an in-depth analysis of a problem-solving session involving the Pizza Problem. The study, part of the long-term Rutgers-Kenilworth longitudinal research project, focuses on four 11th-grade students as they explore and connect concepts related to…

This qualitative case study, grounded within the interpretive paradigm, analyzed the errors and misconceptions made by 11th-grade learners when tackling the tangent-chord theorem task in Euclidean geometry. Studying Euclidean geometry helps learners develop critical thinking skills, such as constructing arguments and applying logical reasoning.…

Background/purpose: This research aimed to 1) Compare mathematical problem-solving skills and academic achievement before and after learning the topic of Basic Counting Principles of Grade 11 students who were taught by traditional learning methods and open learning approach. 2) to compare mathematical problem-solving skills and academic…

The "proving process" was considered as the stages that should be exist in a proof and in this study, it was aimed to investigate the mathematical proving processes and opinions about proof of gifted students. Case study, one of the qualitative research methods, was used in the study. The research was carried out with the students…

In order to effectively learn physics, students need to be actively involved in problem solving. The purpose of this study was to evaluate the relationship between students' metacognitive awareness and their problem solving strategies in physics. Conceptual framework was based on Polya's problem solving strategies and Shraw and Dennison's…

This study examined how students utilized metacognition while solving physics problems. A case study design was implemented, involving 30 11th-grade students. Data were collected by using open-ended physics problems, with a think-aloud strategy applied during the process. Both quantitative and qualitative analyses were conducted using the…

Error analysis is an instructional strategy that can assist teachers to identify learners' areas of weakness in mathematics and that can point to remediation of those errors. This article explores the errors learners exhibit when solving quadratic equations by completing the square using Newman's Error Analysis Model. A research study explored the…

Programming languages have been used and developed in the field of education. Python programming was employed in this study. The goal of this study is to see whether there is an effect of using Pydroid in mathematics learning on students' problem-solving abilities and to see if this software satisfies or does not match the criteria for mathematics…

This study aimed to provide a deeper understanding of high school students' errors while solving genetics problems. Four students were asked to solve two genetics problems and participate in a modified think-aloud interview. Data from the interview, video clips of the problem-solving process, and test sheets were used to analyse participants'…

The study explored the effect of the activity-based approach (ABA) on grade 11 learners' performance in solving two-dimensional (2D) trigonometric problems. A sequential explanatory design was used, starting with the quantitative, followed by the qualitative method. The experimental group (EG) and the control group (CG) were facilitated using ABA,…

In this paper, we continue describing the project and the experimentation of "Ricerca Operativa Applicazioni Reali" (ROAR; in English, Real Applications of Operations Research), a three-year project for higher secondary schools, introduced. ROAR is composed of three teaching units, addressed to Grades 10, 11, and 12, respectively, having…