The purpose of this study was to investigate the relationship between the nature of small group discussion tasks and learners' talk during Physical Science lessons. The study was conducted during Physical Science lessons with three self-selected groups of Grade 11 learners from one school. A total of three lessons were followed. During the…

This study aimed to evaluate the effectiveness of a remedial teaching intervention in improving learners' understanding of trigonometric equations. Using a mixed methods exploratory case study design, a purposive sample of 24 Grade 11 learners from a rural school in the Eastern Cape province participated in the intervention. The research involved…

Critical thinking (CT) is a type of convergent thinking explored when students learn mathematics. This study aims to obtain a comprehensive representation of students' mathematical Critical Thinking (CT) abilities, based on the mathematical ability level. Data were obtained from 35 students using CT skills tests and semi-structured in-depth…

If using different instruments obtained a different analogical reasoning component. With use people-piece analogies, verbal analogies, and geometric analogies, have analogical reasoning component consists of encoding, inferring, mapping, and application. Meanwhile, with use analogical problems (algebra, source problem and target problem is equal),…

The purpose of this study was to examine how learners' problem-solving approaches and success changed from high school to graduate school. This case study included 15 participants who were purposefully selected regarding their grade levels. To examine the development, we asked three algorithmic questions and three problems, which were different…

This qualitative case study explored how exposure to Process-Oriented Guided Inquiry Learning (POGIL) improves 11th grade physical sciences learners' competency in solving stoichiometry problems. Two township schools of low socioeconomic status in Pretoria, South Africa, were conveniently and purposively sampled. Two classes (N = 48) composed of…

This study targets to 1) describe students' mathematical reasoning skills in terms of guardian personality type; 2) knowing the causes of student mistakes in answering questions. This type of study is descriptive qualitative. The subjects in this study were students of class XI MIPA four Wanasaba 1 Senior High School in East Lombok in the…

In this paper, we explored the type of mathematical connections Grade 11 learners make when solving two-dimensional (2D) trigonometric problems in an Activity-Based Learning (ABL) environment. We followed a qualitative case study design within an interpretive paradigm. Convenience sampling was used to select a whole class of 45 Grade 11 learners…

The current paper aims to identify the mathematical connections activated by 10 Mexican high school students while solving mathematical tasks that involve the exponential and logarithmic function. We used the Expanded Mathematical Connections Model (EMCM) and the OntoSemiotic Approach of Cognition and Mathematical Instruction (OSA) as theoretical…

The acquisition of procedural and conceptual knowledge is imperative for the development of problem solving skills in mathematics. However, while there are mixed research findings on the relationship between the two domains of knowledge in some branches of mathematics, the relationship between learners' procedural and conceptual knowledge of…

The mathematical reasoning ability is one of the essential hard skills of a student, especially in solving everyday problems. In supporting the achievement of this mathematical reasoning ability, meaningful teaching materials are an essential part of keeping exciting and not dull a learning process. This study aimed to design and develop an…

In the secondary and high school science program implemented in Turkey in 2018, the importance of engineering and design skills is underlined under domain-specific skills. The purpose of this study, in which case study method, one of the qualitative research methods, is used to examine the engineering design skills of high school students within…

Over a sixteen-week term, the study dove into how chess could enhance math skills for eleventh graders at three public schools in Cartagena, Colombia. It assumed that chess would sharpen their minds and problem-solving prowess. Seventy-one pupils took part, trying out a chess-centric way of learning. Researchers used multiple statistical…

Creativity and creative problem-solving are seen as the most important components of education today. This situation reveals the need to identify students' creative problem-solving characteristics. This study, it was aimed to examine the creative problem-solving characteristics of gifted and non-gifted students in terms of giftedness diagnosis,…

Boaler (2016) asserted that problem posing is the "essence of real mathematics", yet many students do not have opportunities to pose and then solve their own mathematical questions. Rather, students spend their time solving tasks someone else posed--often their teacher or textbook. To promote problem posing, the author designed,…