Supporting students' problem-solving skills, solution planning and sequencing of different stages that are involved in successfully developing a meaningful solution to a problem has been a challenge for teachers. This case study was informed by reflective investigation methodology which explored how procedural flowcharts can support student…

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…

There is a dearth of empirical data to support the positive effects of problem solving (PS) combined with digital technology in the classroom, despite claims that these activities improve students' algebraic thinking abilities. Therefore, the purpose of this study was to evaluate how the teaching method known as Polya's problem solving with…

The present study seeks to explore the mathematical connections that 13-14-year-old secondary school students establish when solving area tasks. Emphasis is placed on different mathematical objects, and the connections between them, that allow students to successfully solve the tasks. The study follows a mixed methodology using qualitative and…

Background: Empirical studies have revealed students' development of computational thinking (CT) and mathematical thinking (MT) during programming-based mathematical problem-solving, highlighting specific CT concepts or practices that serve as learning goals or outcomes. However, implementing programming-based mathematics instruction requires…

In mathematics classrooms, it is common practice to work through a series of comparable tasks provided in a textbook. A central question in mathematics education is if tasks should be accompanied with solution methods, or if students should construct the solutions themselves. To explore the impact of these two task designs on student behavior…

In this article, the author will demonstrate how gestures--often used in combination with offloading information on scratch paper--can be used to help students with difficulties in mathematics succeed with secondary level algebra. The authors will provide key examples from three studies of the algebra learning of students with mathematics…

The researchers found that sixth-grade students at Traimit Pattana Suksa School had limited problem-solving and mathematical reasoning skills, which was attributed to the way their learning activities were organized by their teachers. The traditional approach did not allow students the freedom to think and practice solving a variety of problems in…

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.…

Facilitating Computer Science Unplugged (CS-unplugged) activities with reflective thinking activities lead students to in-depth reviews of their decisions and think of ways to solve the CS-unplugged problems. This study aims to evaluate the instruction enriched with reflective thinking activities to develop computational thinking skills. The study…

Society is currently experiencing a wave of misinformation and disinformation spread through social media and other means. Widespread false information threatens our social relationships and our democracy. A shift toward inquiry learning in PreK-12 education can both improve student learning in general and teach students to assess the validity of…

In recent decades, research has stressed the prominence of mathematics classroom discussions in productive instructional practices in mathematics instruction. In this context, problem-solving activities have been a common focus of research. Research shows that teachers need to deal with prerequisites and challenges such as norms, design of tasks,…

The purpose of this intervention study was to develop and evaluate a support model for teachers, designed to assist them in diagnosing students' (age 16-19 years) difficulties and providing feedback to support students' mathematical problem solving. Reporting on an iteration in a design research project, the results showed that the support helped…

Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…

Background: Students take many tests and exams during their school career, but they usually receive feedback about their test performance based only on an analysis of the item responses. With the increase in digital assessment, other data have become available for analysis as well, such as log data of student actions in online assessment…