Ratio and proportion have many daily life applications and hence form an important part of the Mathematical Literacy (ML) curriculum in South African schools. The purpose of this study was to explore ML teachers' application of ratio in an assessment task with multiple measure spaces set within the real-life context of the need to establish the…

The purpose of this study was to investigate the relationship between both 9th-grade and 1st-year undergraduate students' use of "look back" strategies and problem solving performance in multiple solution methods, the difference in their use of look back strategies and problem solving performance in multiple solution methods, and the…

With rigor outlined in state and Common Core standards and the addition of constructed-response test items to most state tests, math constructed-response questions have become increasingly popular in today's classroom. Although constructed-response problems can present a challenge for students, they do offer a glimpse of students' learning through…

In many classrooms, students solve problems posed by others--teachers, textbooks, and test materials. These problems typically describe a contrived situation followed by a question about an unknown that students are expected to resolve. Unsurprisingly, many students avoid reading these problems for meaning and instead engage in a suspension of…

Previous work has found that guiding problem-solvers' movements can have an immediate effect on their ability to solve a problem. Here we explore these processes in a learning paradigm. We ask whether guiding a learner's movements can have a delayed effect on learning, setting the stage for change that comes about only after instruction. Children…

This study aims to investigate the ability of pre-service class teacher at University of Petrain solving mathematical problems using Polya's Techniques, their level of problem solving skills in daily-life issues. The study also investigates the correlation between their ability to solve mathematical problems and their level of problem solving…

In the Australian mathematics curriculum, Year 12 students (aged 16-17) are asked to solve conditional probability problems that involve the representation of the problem situation with two-way tables or three-dimensional diagrams and consider sampling procedures that result in different correct answers. In a small exploratory study, we…

By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…

Employers of marketing graduates view good writing as a core marketing skill, but many marketing students are weak writers. The improvement of student writing should therefore be an important objective in a well-designed marketing curriculum. One-page papers combine the effective teaching of marketing concepts with writing instruction while…

Positive results of science teaching studies supported with the means provided by technology require the enrichment of the content of blended learning environments to provide more benefits. Within this context, it is thought that preparing a web-assisted model-based teaching, which is frequently used in science teaching, based on the "Matter…

This study investigates university students' graph interpretation strategies and difficulties in mathematics, physics (kinematics), and contexts other than physics. Eight sets of parallel (isomorphic) mathematics, physics, and other context questions about graphs, which were developed by us, were administered to 385 first-year students at the…

Oliver Herring, the creator of TASK, defines it as: "[a]n improvisational event with a simple structure and very few rules... TASK's open-ended, participatory structure creates almost unlimited opportunities for a group of people to interact with one another and their environment. TASK's flow and momentum depend on the tasks written and…

Project-Based Learning (PBL) is a widely adopted pedagogy that ignites students' interest of a subject through the investigation of an authentic problem and cultivates their abilities of innovation and self-learning. Traditional PBL often involves a project of complexity and significant scale, which, under the time constraint of a course, is often…

We start with the stance that it is important for educators to understand students' language repertoires in relation to characteristically mathematical conceptualizations and processes. The data in our study of grade 3 to 11 students' language repertoires for conjecture led our attention to competing discourses in the classroom and the…

As part of a project exploring the use of challenging mathematical tasks, data from New Zealand teachers and their students were analysed to explore teachers' actions that encouraged students to persist. Rather than rescuing the students when they needed help, the teachers' actions included arranging for and encouraging students to work…