Possessing mathematical competence is a pre requisite for independently comprehending, understanding and applying all features of mathematical modelling in a particular setting. This research study thus explores the mathematical modelling competencies that Grade 10 learners exhibit while solving contextual problems in a mathematics learning and…

Problem-solving, collaboration, and adaptability to in-person and virtual environments are critical for success today. Therefore, brick-and-mortar and online instructional models have shifted to ensure that K-12 students are prepared with these skills for 21st-century challenges. Grounded in systems theory, the study examined the inputs,…

In this article, we examine how 10th graders make use of different intertwined representations when solving algebraic word problems. It is structured in a quantitative phase, with 61 students and a subsequent follow-up case study with nine pairs of students. We found that drawings and tables, used as auxiliary representations within variants of…

This study aims to test the effectiveness of using environment-oriented e-books based on Problem-Based Learning (PBL) to empower problem-solving skills. The research design used is a Nonrandomized Control Group, Pretest-Posttest Design. The study used a quasi-experimental method with a 2 x 2 factorial design. The research sample was 70, grade X…

This study aims at describing students' difficulties in solving mathematical literacy problem level 3, level 4 and level 5. Qualitative research was used in this study. Participants of the research were 10 tenth-grade students randomly selected from a senior high school. The research was conducted at Senior High School 1 North Bengkulu. Data…

As problem posing has been shown to foster students' problem-solving abilities, problem posing might serve as an innovative teaching approach for improving students' modelling performance. However, there is little research on problem posing regarding real-world situations. The present paper addresses this research gap by using a modelling…

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…

Various features have been found hidden in the Pascal triangle. In this paper, some very well-known properties of the Pascal triangle will be presented, as well as the properties related to different extensions of the triangle, namely the Pascal pyramid. Given that in the textbooks of the tenth grade, respectively in the school, where we realised…

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…

This study explored the use of an innovative instructional approach called Productive Failure (PF) to design an educational game and its support. The study then examined the effects of two different types of instruction--PF vs. Direct Instruction (DI)--on learning genetics and relevant mathematical knowledge in a Game-Based Learning (GBL)…

This article delves into moments of affect, puncturing the exchanges between an early career 2SLGBTQ+ researcher and a group of Canadian adolescents, mostly composed of girls, who developed a ClayMation video to take the pulse of emerging vibrancies in maker literacies. Among these dynamisms came the matter of gender in the research project.…

The aim of this paper is to explore high school students' critical consciousness development in the context of youth participatory action research (YPAR) focused on food security at an alternative school in Alabama. The YPAR project took place in an elective agriscience class with 10 students (Seven Black, two white, one Latino) who were in the…