Learning to respond to a computer program that is not working as intended is often characterized as finding a singular bug causing a singular problem. This framing underemphasizes the wide range of ways that students and teachers could notice discrepancies from their intention, propose causes of those discrepancies, and implement interventions.…

To improve understanding of identities and inverses, and to provide a stronger foundation for future mathematics, Sandra Miles designed a two-part lesson that makes the relationship between identities and inverses explicit. This article illustrates Miles' teaching of the first part of the lesson, focused on addition and subtraction, and then gives…

In a small rural village in the Cambodian province of Kampong Cham, a group of 7th-grade students huddle around Android tablets, engrossed in an English language lesson. Guided by their teacher, they swipe from one interactive learning module to the next. They are not only building English literacy, but also developing digital skills. As they do…

Using a fictitious learning environment, the author demonstrates a variety of technological tools that teachers can infuse into their classrooms. Come away with some innovative, practical methods to help students show what they know about the topic at hand.

With the rise of personal desktop 3D printing, a wide spectrum of educational opportunities has become available for educators to leverage this technology in their classrooms. Until recently, the ability to create physical 3D models was well beyond the scope, skill, and budget of many schools. However, since desktop 3D printers have become readily…

Students are growing up in a digital world where technology is constantly changing and evolving. However, their use of these technologies is often more social rather than academically as a way to advance their understanding of key concepts or skills as it relates to instructional content. Teachers know how to teach, and our students are definitely…

Geometer Sketchpad is far from a new innovation, but its potential in the classroom is probably still understated. The application described here can be replicated in any classroom, and the impact on learning is likely to be significant. The experiences documented are "real", and show how a software package can enhance an area of the mathematics…

Educational teams often are faced with the task of developing and implementing Behavioral Intervention Plans (BIPs) for students who present challenging and/or disruptive behaviors. This article describes the steps used to develop and implement a self-monitoring BIP that incorporated an innovative software system, iKidTools™. An authentic case…

Studying geometry is an integral component of learning mathematics because it allows students to analyse and interpret the world they live in as well as equip them with tools they can apply in other areas of mathematics. Therefore, students need to develop an understanding of geometric concepts as well as gaining adequate geometry related skills.…

The ability of interlocking polygonal tiles, like those in the "Polydron Frameworks kit," to flex can give rise to polyhedra whose faces don't quite fit. In this article, the author discusses what happens with polyhedra whose faces don't quite fit. (Contains 2 notes.)

When the author started his visualization session at Brampton by showing a still from Kate Mackrell's "Kaleidoscope," he was immediately struck by one student's description of a symmetry and reflection line that was quite at odds with what he was holding. Since he had seen the whole thing moving on a number of occasions, the author was hanging on…

Algebra is one of those hard-to-teach topics where pupils seem to struggle to see it as more than a set of rules to learn, but this author recently used the software "Grid Algebra" from ATM, which engaged her Year 7 pupils in exploring algebraic concepts for themselves. "Grid Algebra" allows pupils to experience number,…

The dilemma of promoting young adult literacy gripped the authors' seventh-grade class last year as never before. In an attempt to obliterate the students' reluctance to reading, the authors looked to technology to help motivate the students and break down their resistance to reading. This article describes the authors' successful integration of…

This article discusses the advantages of using interactive whiteboards in the classroom. Developed by Smart Technologies, the Smart Board is one of several interactive whiteboards on the market today. Through Smart Board, starters can write, erase, and perform mouse functions with their finger, a pen, or anything with a maneuverable, firm surface.…

This book is about learning and teaching with personal computers. It is aimed at teachers, student teachers, those responsible for pre-service and in-service teacher training, school administrators, and parents. The book is arranged in four sections. Part I includes two chapters providing a theoretical framework for learning and teaching with…