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Category Archives: Educational Technology
Soccer Challenges: Angling for a Shot on Goal
With the World Cup in our hemisphere, and the US squad having started out with a win over Ghana, my thoughts turned to the mathematics of soccer. My friend Henri Picciotto has a nice page about the shooting angle, the … Continue reading
Sketchpad Explorer Featured in Mathematics Teacher
The May issue of Mathematics Teacher (MT) has a Technology Tips article on HighLeverage iPad Apps for the Mathematics Classroom by Ayanna Perry, Emily Thrasher, and HollyLynne Lee of North Carolina State University. They explain how to transfer files to … Continue reading
Playing with Triangular Decompositions
Guest blogger Juan Camilo Acevedo is part of the University of Chicago’s Center for Elementary Mathematics and Science Education (CEMSE) digital team, where he develops Sketchpadbased activities for Everyday Mathematics. Currently, he teaches undergraduate language classes at the University of … Continue reading
Posted in Educational Technology
Tagged Dynamic Geometry, Math Games, Pedagogy, Problem Solving, Sketchpad
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Understand the Sine Function by Dancing It
In Where Mathematics Comes From, cognitive scientists George Lakoff and Rafael Nuñez assert that our understanding of abstract mathematical concepts relies upon our sensorymotor experiences: “For the most part, human beings conceptualize abstract concepts in concrete terms, using ideas and … Continue reading
Eigenvectors of 2 x 2 Matrices: A Geometric Exploration
Shiva Gol Tabaghi obtained her PhD degree in Mathematics Education from Simon Fraser University in 2012. This guest post is based on her doctoral dissertation research. Presently, she is involved in teaching undergraduate mathematics courses at Simon Fraser University. She enjoys using dynamic … Continue reading
Discovering the Angle Sum and Difference Identities
In my Advanced Methods class at Penn’s Graduate School of Education, my students are working in groups to create shared lesson plans using an inquiry approach. For a number of reasons it can be challenging for these preservice teachers to … Continue reading
Experiments with a Color Calculator
In the 1970s, my childhood friend Tim owned an Activision console and a variety of game cartridges. Tim was the envy of our block, but no matter how much I enjoyed a rousing game of Pong, I knew that my … Continue reading
Factor Patterns at Your Fingertips
Take a look at the interactive model below. Most of the numbers in the array are shaded orange, but several are blue. What is special about these blue values? They are the factors of 32, the largest number in the … Continue reading
What Is All the Fuss About Lines?
Yesterday, I led a webinar that demonstrated how Sketchpad can be a powerful tool for exploring Common Core algebra topics. My examples included solving for unknowns with a pan balance, exploring the slopes of lines, maximizing the area of a fixedperimeter … Continue reading
Discovery by Dragging
A few days ago I led a webinar on the Common Core and Sketchpad for Sketchpad beginners, and I showed four Sketchpad activities aligned with both the Content Standards and the Standards for Mathematical Practice. I mixed it up a … Continue reading