Area should be experienced, not simply calculated. This task invites students to physically experience areas and the spatial relationships between them, as well as their own community.

Area models are an important strategy for representing and solving multiplication problems under the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010). The hands-on task presented in this article, featuring differentiation and open-ended learning, sets up students to discover area models for themselves. Organized around…

As statisticians, we engage in a variety of activities, some of which are regularly integrated into our undergraduate courses. However, the individual courses that comprise a mathematics or statistics degree program might not provide students with experiences in the broader range of activities that define the practice of statistics. To remedy this…

We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the…

This article describes a hands-on activity that has been used with students aged 12-18 years to promote the study of Statistics. We believe there is evidence to suggest an increase in student enthusiasm for Statistics at school, within the Mathematics curriculum, but also within other subjects such as Geography. We also believe that the use of…

Dennis Pearl is Professor of Statistics at Pennsylvania State University and Director of the Consortium for the Advancement of Undergraduate Statistics Education (CAUSE). He is a Fellow of the American Statistical Association. This interview took place via email on November 18-29, 2016, and provides Dennis Pearl's background story, which describes…

The query "When are we ever going to use this?" is easily answered when discussing the slope of a line. The pitch of a roof, the grade of a road, and stair stringers are three applications of slope that are used extensively. The concept of slope, which is introduced fairly early in the mathematics curriculum has hands-on applications…

In this article, we share design guidelines for the development and use of online, video-based "teaching playgrounds," which provide opportunities for prospective teachers to engage in professional noticing of teaching practices. Through teaching playgrounds, we provide an instantiation of the Presence+Experience framework, which…

In this article, the authors first present the Hands Together! task. The mathematics in this problem concerns the relationship of hour and minute durations as reflected in the oft-overlooked proportional movements of the two hands of an analog clock. The authors go on to discuss the importance of problem solving in general. They then consider…

Nature trails can be used as a tool for young children to learn about inquiry-based science and math in an open and natural environment. A nature trail provides the opportunity for children to develop their gross motor skills by walking, hiking or playing on the trail and enhance social skills by doing outdoor activities with their friends. The…

Statistics is enjoying some well-deserved limelight across mathematics curricula of late. Some statistical concepts, however, are not especially intuitive, and students struggle to comprehend and apply them. As an AP Statistics teacher, the author appreciates the central limit theorem as a foundational concept that plays a crucial role in…

The use of inclusive teaching materials that motivate and encourage the development of executive functions has been neglected by the mathematic teaching, in which intelligence is valued, but no efforts are made to stimulate it. There are numerous reasons for that, among which are teachers' and students' unawareness that mathematics involves higher…

The number of increases a particular stock makes over a fixed period follows a Poisson distribution. This article discusses using this easily-found data as an opportunity to let students become involved in the data collection and analysis process.

A recent trend in school mathematics has been to launch student inquiry with real-world contexts that capture student interest and intrigue (Meyer 2011, 2012; Kane 2015). Often these starting points harness the immediacy and power of the Internet to provide strong visuals and timely relevance. The goal of the resulting student inquiry is to foster…

This article outlines a class activity where students prepare croissants to get an intuitive feeling for the nature of a strange attractor. In particular during the preparation of the pastry dough, students investigate the effects of stretching and folding. These physical processes force trajectories (in this case the pastry dough) to remain…