The concept of flipping the classroom and flipped learning is becoming increasingly more popular in secondary schools. Although more prevalent in tertiary teaching, flipped learning has a number of affordances that may address the challenging demands of teaching secondary mathematics. While enactments of the approach vary, flipped learning…

Visualisation is an important part of the cognitive process in mathematics. Pedagogical-psychological theoretical frameworks concerning cognitive processes consider perception and visualisation as basic conditions for the creation of correct mental imagery. This study examined visualisation as a key factor in the development of geometric concepts…

Various curriculum resources have emerged over the last decades, but the textbook still remains the most used teaching and learning resource in mathematics classrooms. In this paper, we use a case study to analyse the teaching practice of one mathematics teacher. The aim of the study is to examine how the mathematics teacher interacts with the…

Gestures have been shown to play a key role in mathematical reasoning and to be an indicator that mathematical understanding is "embodied" -- inherently linked to action, perception, and the physical body. As learners collaborate and engage in mathematical discussions, they use discourse practices like explaining, refuting, and building…

Collaborative gestures in the mathematics classroom occur when multiple learners coordinate their bodies in concert to accomplish mathematical goals. Collaborative gestures show how cognition becomes distributed across a system of dynamic agents, allowing for members of groups of students to act and gesture as one. We explore ways high school…

The focus of this research was to explore teacher perceptions of technology integration into the secondary mathematics curriculum. A purposive sample included (n=10) secondary math teachers located in the southwest region of the United States providing results regarding their experiences integrating technology into the mathematics curriculum…

Response to intervention (RtI) is increasingly being used in elementary and secondary schools both to provide early intervention and support to struggling students and to identify students who may benefit from special education. Although research exists to guide and support the implementation of RtI in elementary schools, much less information…

It seems that calculators continue to be misunderstood as devices solely for calculation, although the likely contributions to learning mathematics with modern calculators arise from other characteristics. A four-part model to understand the educational significance of calculators underpins this paper. Each of the four components (representation,…

Graphing functions is an important topic in algebra and precalculus high school courses. The functions that are usually discussed include polynomials, rational, exponential, and trigonometric functions along with their inverses. These functions can be used to teach different aspects of function theory: domain, range, monotonicity, inverse…

For decades, all honors students at North Shore High School in New York were required to write a mathematics paper. In 1991, these papers were eliminated, and a new elective, "Investigations in Math Research," was added to the course catalog. Research is not an innate skill, and now, students of all ability levels who wanted the research…

This paper presents a part of a larger study, in which we asked "How are learning and teaching of mathematics at high level linked to students' general giftedness?" We consider asking questions, especially student-generated questions, as indicators of quality of instructional interactions. In the part of the study presented in this…

As part of a larger study of student understanding of concepts in linear algebra, we interviewed 10 university linear algebra students as to their conceptions of functions from high school algebra and linear transformation from their study of linear algebra. An overarching goal of this study was to examine how linear algebra students see linear…

This intervention report presents findings from a systematic review of "Accelerated Math®" conducted using the WWC Procedures and Standards Handbook (version 3.0) and the Secondary Mathematics review protocol (version 3.1). No studies of "Accelerated Math®" that fall within the scope of the Secondary Mathematics review protocol…

Equity in mathematics teaching has gained increased attention in the last few decades. A growing field of research has provided various definitions of equity, outlined standards, and identified practices that lead to equitable learning opportunities for all students, particularly for students from non-dominant backgrounds. However, few studies…

This is a study of secondary mathematics teachers' use of a digitally enhanced educational technology called Interactive Diagrams (IDs). This study is concerned with the ways in which mathematics teachers use IDs as they plan and enact classroom activities involving this technology, as well as the factors that affect their ID use. Qualitative…