The purpose of this study was to examine the effects of a number line intervention with supported self-explanation on student understanding of fraction magnitude and quality of explanation. Participants were three U.S. middle school students with significant behavior problems. Participants were given eight lessons containing explicit instruction…

The learning of mathematics generally undergoes a less effective and less appealing learning process, resulting in students' perceived lack of mastery of the material. Consequently, students' insufficient understanding of the concepts leads to a lack of folding back. In the process of understanding, it influences individual characteristics, where…

The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…

Recognising the importance of developing creativity in education, the Programme for International Student Assessment (PISA) included an assessment of creative thinking for the first time in its 2022 cycle -- with the results summarised in the PISA 2022 Results (Volume III) report. While that report focused on comparing countries' performance on…

This study explores the ontological perspective in analyzing students' problem-solving related to mechanical energy conservation. The research involves 18 high school students whose explanations were qualitatively analyzed using an extended ontological framework. Initially, students predominantly employed matter-based predicates and…

The purpose of this action research study was to explore the impact of problem-based learning on science instruction in my eighth-grade college preparatory classroom. Constructivism was the framework for this study. Problem-based learning is based on constructivist principles, and it served as the instructional model for this study. PBL can foster…

This article uses the concurrent mixed methods design to explore the errors made by 171 Grade Seven learners in algebraic problem-solving within the Assin Central Municipality in Ghana. The participants were categorized into low-achieving and high-achieving groups based on their performance in a pretest, to help provide a detailed examination of…

Problem solving has been the focus of the Common Core State Standards for Mathematical Practice. Helping students acquire critical-thinking and problem-solving skills has become the primary goal of mathematics education across all grade levels. However, research has found that many students struggle with word problems because of poor text…

Quadratic modeling problems are commonplace in high school mathematics courses; they typically situate quadratic patterns of change and their corresponding parabolic graph within real-world contexts. Traditional approaches to this type of problem lend themselves to making connections across different representations (e.g., Garofalo and Trinter…

The article describes a study carried out on pupils aged 12-13 with no prior programming experience. The study examined how they learn to use loops with a fixed number of repetitions. Pupils were given a set of programming tasks to solve, without any preparatory or accompanying instruction or explanation, in a block-based visual programming…

In this paper, a self-created analogy is presented based on comparing the process of osmosis with a situation recreated in a train carriage. It was implemented with upper-secondary education students at a secondary school in Chiclana de la Frontera (Cádiz, Spain). To assess the progression of the students' models on osmosis, their activities…

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 study aimed to analyze the content validation of the STEM-integrated on thermal and transport concept inventory instrument used to measure the problem-solving abilities of high school students. The instrument questions developed amounted to nine description questions. This type of study is development research. The steps in this research are…

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…

Redox reaction is a core chemical concept. However, its abstract nature makes it very difficult for students. Students' conceptual structure reflects their mastery of concepts, which helps teachers implement targeted educational strategies. This study aimed to explore the conceptual structures of redox reaction held by students (grades 10 to 12)…