Mathematics is crucial to the educational and vocational success of students. The concrete-representational-abstract (CRA) approach is a method to teach students mathematical concepts. The CRA involves instruction with manipulatives, representations, and numbers only in different lessons (i.e., concrete lessons include manipulatives but not…

The study aims at examining middle school mathematics teachers' conceptions of openended questions. A questionnaire consisting of open-ended items was applied to 40 mathematics teachers. The teachers were asked to define the open-ended question in general and the mathematical open-ended question in particular and provide examples to exemplify…

Gifted students are individuals who show extraordinary development in at least one area compared to their peers. The common feature of gifted students is their creativity. The gifted students need training to improve their skills. If they do not receive such training, their abilities will fade out over time. Problem posing is one of the activities…

During the past 20 years, numerous studies examining the use of problem posing in mathematics instruction have documented positive outcomes in terms of students' problem-solving skills, creativity, and attitudes and beliefs regarding the study of mathematics. However, despite these promising results, problem posing in mathematics instruction has…

This research explores the use of guided notes in a post-secondary calculus course and the extent to which use enhanced students' success in a first year calculus course. Guided notes have been previously shown to be perceived as helpful to learning by students, and one study showed that the use of guided notes improved pass rates in a first year…

Students in Manitoba have demonstrated a lower-than-average understanding of mathematics concepts. Two areas that contribute to this level of understanding are quality of instruction and math anxiety in students and teachers. Quality of instruction can be addressed through the intentional design of lessons around quality, deeper thinking tasks.…

Recent research suggests there is a lacking presence of assessment and its role in informing intentional teaching in the practice of play-based pedagogy. Formative assessment can be effectively embedded in pedagogy when practitioners are geared with practical tools that can be implemented within naturalistic settings. In recent times, there has…

Designing tasks to foster students' learning is challenging for teachers. In this article, we aim to understand how designing, enacting, and reflecting on tasks promotes the development of in-service and prospective teachers' didactical knowledge during lesson study. Data was collected through participant observation with audio recordings and…

Algebraic thinking is an important part of mathematical thinking, and researchers agree that it is beneficial to develop algebraic thinking from an early age. However, there are few examples of what can be taken as indicators of young students' algebraic thinking. The results contribute to filling that gap by analyzing and exemplifying young…

Supporting teacher learning for normative change in classroom learning environments creates significant demands on principal leadership. We offer an analytic framework that aims to understand principal practice for instructional transformation. The framework examines how the principal's conception of teacher learning shapes practice in relation to…

Mathematically gifted students are mostly getting their education in mixed classrooms. Teachers should be able to recognize mathematically gifted students to be responsive to those students' needs along with other students in their classrooms. The current study aims to reveal prospective primary mathematics teachers' views about mathematical…

In this study, the mathematics of carpet will be introduced by presenting the lifestyle of two expert carpet-weavers from Kerman, Iran, who work for many years in carpet-weaving activities through an explanation of carpet weavers' culture. This explanation reveals that carpet weavers can do mathematics and solve related real-world problems without…

To leverage pedagogies of approximation to improve teacher education, educational researchers must first tackle the methodological question, "How can we determine the potential of pedagogies of approximation for supporting the growth of prospective teachers' knowledge and practices for teaching?" In this paper, we offer a model called…

The enrollment in lower-level mathematics courses has been on the increase in the last decade. It has been estimated that the DFW rate may rise to the level of 50% in courses that can be classified as college algebra. Numerous interventions have been utilized for college algebra and other mathematics classes to help students, including…

This mini-ethnographic study investigated the role of the student-teaching experience on removing student teachers' math anxiety. Data were collected from four elementary student teachers using semi-structured individual and group interviews during the second phase of their student-teaching period. Thematic content analysis was used to analyze…