In this study, we used an instructional package consisting of a constant time delay procedure with multiple exemplars to teach five elementary students with moderate intellectual disability to identify geometric shapes listed in their state's core content standards and included on their state's alternate assessment. In addition, we included four…

Middle school students are faced with a number of mathematical concepts that require new forms of reasoning. Although the shifts toward proportional and algebraic reasoning are often emphasized in middle school curricula, changes in the nature of geometric reasoning are not always given the same weight. As highlighted in "Catalyzing Change in…

Many university statistics instructors are interested in teaching with active-learning approaches in their classrooms. In this article, we attend to active learning in three ways. First, we review how the statistics education community has addressed issues surrounding active learning implementation to date. Second, we describe how our project used…

Challenging mathematics problems were posed as a substantial part of homework in an elective combinatorics course. The intent was to encourage undergraduate students' exploration as well as develop their technical writing skills. The bulk of students' grades on these problems rested on a three-page reflective write-up using a rubric on…

We employ Sfard's ("Thinking as communicating," 2008) "ritual towards exploration" idea to theorize the learning trajectory of two middle school teachers attending a professional development (PD) program designed around the "5 Practices for Orchestrating Productive Discussions" and Accountable Talk. Data included four…

Many students share a certain amount of discomfort when encountering proofs in geometry class for the first time. The logic and reasoning process behind proof writing, however, is a vital foundation for mathematical understanding that should not be overlooked. A clearly developed argument helps students organize their thoughts and make…

Children's intuitive understanding of numbers begins early in life, and their numbers-related knowledge influences instructors' teaching practices. The number zero is more difficult to teach and learn than other numbers. The purpose of this study was to investigate how preschool teachers perceive the number zero and design their teaching practices…

The objective of this study is to explore the role of the application of ICT tools in Mathematics teaching. Learning and conversation technologies (ICT) are an integral part of daily life, including the teaching-learning process. Mathematics is considered the queen of all sciences. For a long time, the role of mathematics was reduced to the purely…

A small percent of high school students are performing above satisfactory on end-of-course assessments, especially in Algebra 1 and Geometry. This is indicative that mathematics instruction may need to improve. One innovation in mathematics instruction is the incorporation of storying as an instructional strategy, as there is considerable research…

Reform mathematical teaching calls for instructional practices that develop students' conceptual understanding of mathematical content. Such changes in instructional practices require supporting and equipping teachers through professional development. Literature in the field of professional development typically focuses on student learning…

Literature on learning trajectories is reviewed, and challenges in developing designs to support responsive instruction are highlighted. A distinctive form of design called a "multi-dimensional instructional framework" is introduced. These frameworks span key dimensions of mathematisation, such as notating and distancing the setting,…

This paper reports on an investigation of the student interaction and group development of a four-student group during collaborative mathematics problem solving. Video and written transcript of the group interaction were analysed. The group problem solving has been described by the flow of negotiative events in terms of topics discussed within the…

Although research and policy documents provide recommendations to inform secondary mathematics teacher preparation, no single study has addressed the "big ideas" of courses in multiple programs and how those big ideas may be interpreted through the lens of recent research and policy documents. To answer this need, we focused on big ideas…

Opportunities for practice play a critical role in learning complex behaviors. In the context of explicit mathematics instruction, practice facilitates systematic opportunities for students with mathematics difficulties (MD) to learn new mathematics content and apply such knowledge and skills to novel mathematics problems. This study explored…

This article investigates perceived existing classroom practices in mathematics pedagogy and the impact on Nepalese mathematics teachers' understanding and uses of questioning. For this study, a narrative inquiry approach has been used to focus on the experiences of six mathematics teachers working in schools in Kathmandu Valley, Nepal. A…