Augmented Reality (AR) technologies allow for holograms to be layered over the real-world, "augmenting" human vision by overlaying illustrations onto 3D space. Here we explore the question: What affordances does AR in a collaborative environment have for the future of mathematics education in uncertain times? We conducted a study where…

Learn how to engage students in geometry concepts through a real-world task that leverages GeoGebra to provide students with generalization and authorship opportunities. This article shares the story of a geometry task that asked students to choose a city that would best work for their new trucking company. Throughout the task, students noticed…

Understanding spatial reasoning is important to success in mathematics. This article shows how the proficiency strands in the "Australian Curriculum: Mathematics" provide the tools needed for effective teaching and learning of spatial thinking.

When the author first started teaching twenty years ago, he thought that as long as he was using dynamic geometry software (DGS) for students to "discover" conjectures instead of them learning the conjectures from a lecture or the textbook, he was maximizing their learning potential because they were using technology. Over the years, he…

The ability to graphically depict objects in two- and three-dimensional space is fundamental to engineering design practice. Historically, engineers have used pencil, paper, and erasers to draft preliminary sketches and to transform initial drafts into precise production drawings. With the proliferation of computer-aided design (CAD) software…

With the adoption of the Common Core State Standards for Mathematics (CCSSM), many teachers are changing their classroom structure from teacher-directed to student-centered. When the author began designing and using problem-based tasks she saw a drastic improvement in student engagement and problem-solving skills. The author describes the Cake…

When examining transformations of the plane in geometry, teachers typically have students experiment with transformations of polygons. Students are usually quick to notice patterns with ordered pairs. The Common Core State Standard, Geometry, Congruence 2 (G-CO.2), requires students to describe transformations as functions that take points in the…

This paper describes the genesis and purpose of our geometry methods course, focusing on a geometry-teaching technology we created using NVIDIA[R] Chameleon demonstration. This article presents examples from a sequence of lessons centered about a 3D computer graphics demonstration of the chameleon and its geometry. In addition, we present data…

This article features the Agam program, developed by Yaacov Agam and education researchers, who worked with him to further develop and test the program that teaches visual literacy. Visual literacy is the study of shapes and how they combine to make everything from alphabetic letters to great art. Although the Agam program is long and involved,…