Literature is well-stocked with studies confirming that an instructional approach, self-efficacy, and mathematical reasoning skills are critical for enhancing students' conceptual understanding and achievement in mathematics. However, there has been little emphasis on establishing whether being able to reason mathematically depends only on the…

The goal of the present study is to investigate the impact of procedural and conceptual teaching on students' mathematical performance over time. For this purpose, implicit differentiation and integration by parts were taught in two different ways to first-year university students of two different calculus courses: one course with Conceptual…

A large number of students with and without disabilities--including students at-risk--are currently learning online through synchronous and/or asynchronous instruction. As such, it is important for educators to be equipped with evidence-based practices--or at the minimum research-based practices--that can be adapted or modified to teach students…

In grade 3, students are expected to be able to represent a fraction on a number line by first identifying the interval from 0 to 1 as the unit and by partitioning the unit as needed on the basis of the denominator. This task extends these grade 3 fraction goals stated in the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010)…

In this article, we report the findings of a study conducted with 6 Grade 8 students in the United States. The students posed stories for open number sentences involving addition and subtraction of integers. We analysed the stories posed by the students to build models that describe the conceptual structures behind these posed stories -- the…

The research for teachers' conceptions of the outside educational materials, that they discover and use, is very limited. In addition, there is also particularly limited research comparing teachers' conceptions of the use of educational materials on the basis of the subject they teach. The present paper aims at investigating and comparing primary…

Using mathematics as a tool to interrogate (in)justice and take action toward a more socially just world in PreK-12 mathematics shows promise for disrupting marginalization of Black and Brown students. Teachers, however, work within broader systems, structures, and discourses that shape their decisions and actions. Consequently, they likely feel…

Mathematics learning has always been a problem in the world of education in Indonesia especially in the Province of Maluku, which is a thousand island area. The geographical position of Maluku, which is an area of the archipelago, is quite extensive, affecting the quality of students in mathematics. One approach that is recommended to overcome…

Mathematics education highlights the importance of helping students understand mathematical content and the ability to think critically about mathematics. Mathematical practice standards outline expectations for engaging students in meaningful mathematics activities to encourage a deep understanding of mathematical concepts and content. For some…

In this study, we report on the design and use of an apparently unbounded spatial diagram to explore shearing, an area-preserving transformation. Apparently unbounded spatial diagrams are realizations of geometric objects, such as lines, that appear to extend indefinitely. They can be rendered in virtual reality displays where users who are…

Three iterative, 18-episode design experiments were conducted after school with groups of 6-9 middle school students to understand how to differentiate mathematics instruction. Prior research on differentiating instruction (DI) and hypothetical learning trajectories guided the instruction. As the experiments proceeded, this definition of DI…

Instructional coaches may assist teachers in their continued learning by providing embedded professional development in areas of need. In this study, most sub-groups in the school district realized increases in proficiency levels in math and reading after the implementation of instructional coaches. Some sub-groups evidenced significant rates of…

There is a growing need for teacher preparation courses that support teacher candidates (TCs) in meeting requirements to obtain a supplemental teaching credential. In particular, given the demands for secondary mathematics teachers, developing effective cross-disciplinary coursework within preparation programs is timely and important work. Our…

The aim of this research study is to determine how students define their anxiety about learning mathematics, to determine the symptoms of anxiety and to define how anxiety occurs. The phenomenology research design was used in the study. A semi-structured interview form was used as a data collection tool in the research. The data were analyzed…

In this contribution, we seek to problematise not just mathematics and (global) citizenship but also the process of researching with a critical intent. We argue for a disorderly approach and use researching our participation in a European funded project -- the Project in Citizenship and Mathematics ("PiCaM") -- as an illustration of the…