Using Balacheff's (2013) model of conceptions, we inferred potential conceptions in three examples presented in the spanning sets section of an interactive linear algebra textbook. An analysis of student responses to two similar reading questions revealed additional strategies that students used to decide whether a vector was in the spanning set…

Probability theory has extensive applications across various domains, such as statistics, computer science, and finance. In probability education, students are introduced to fundamental principles which may include mathematical topics such as combinatorics and symmetric sample spaces. Students pursuing degrees in computer science possess a robust…

In this paper the potentiality of meaning generation in a constructionist environment through an interplay between problem solving and problem posing is examined. The meaning-making process is examined by following how a Grade-10 student is engaged in an iterative cycle of reformulating and solving the initial problem within a Logo-based…

This study investigates the relationship between mathematical literacy and cognitive flexibility in solving complex problems among Indonesian elementary school students aged 9-10 n = 78. Utilizing a mixed-methods approach, the research combined quantitative testing and qualitative interviews to provide a comprehensive understanding of this…

This article presents a task providing college students opportunities to build on their high school knowledge of trigonometry to explore parametric equations and inverse trigonometric relationships within a contextual learning ladder problem.

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…

Every educator knows the sinking feeling of a lesson gone wrong. As teachers look around the room and realize that many of their students are just not getting it, they often feel like failures. However, the struggle students experience as they persevere through high-quality challenging tasks is not a sign of failure, but rather a key aspect of…

Most students practice abductive reasoning in solving mathematical problems that encourage creativity. This study analyses the process of making conjectures based on abductive reasoning. This study used a qualitative design and involved 106 undergraduate mathematics students enrolled in the mathematics course Introduction to Ring. We analyzed the…

Adopting a pretest-posttest experimental design with repeated measures, this study examined the effects of three types of game-based learning supports in the form of modeling on knowledge development that contributed to successful math problem solving and students' perceived game flow. Forty-one sixth-grade students participated in the study and…

Background/purpose: Although mathematical representation ability is a significant ability and an interesting topic to study, quite a few researchers have studied this ability, and even fewer have examined it through the implementation of epistemic learning patterns based on problem-solving. In fact, this learning pattern is epistemic and makes…

Mathematics skills are crucial in the current job market; however, many students with disabilities are graduating high school with limited mathematics knowledge and skills. Mathematics skills are fundamental for navigating the complexities of everyday life after high school, extending their importance beyond the workplace to community engagement.…

Fractions and the understanding of fraction concepts affect later conceptualization of advanced mathematics and affect how people live their everyday lives. Research shows that many deaf or hard of hearing (DHH) students have not mastered fraction skills even by the time they enter college. In the present article, the author looks at literature…

This paper investigates profiles of high school students' mathematical problem-solving beliefs following the introduction of a new mathematics curriculum. In this quantitative study, 490 high school students responded to a mathematical problem-solving beliefs questionnaire to provide data about their beliefs related to mathematical problem…

Money skills are important for students with autism spectrum disorder (ASD) to successfully live independently. A crucial first step is teaching them money identification. The purpose of this study was to examine the efficacy of using TouchMath money (TMM) to teach middle school students with ASD to count money. A multiple probe design across…

The Programme for International Student Assessment (PISA) is an international comparative study that assesses how well 15-year-olds, who have nearly completed compulsory schooling in most participating educational systems, can use their knowledge and skills to meet real-world opportunities and challenges. In each cycle of PISA, students are…