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Author Archives: Daniel Scher
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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Simultaneous Equations in Elementary School? You Bet!
Algebra classes devote considerable time to equations in a single variable before solving multiple equations in two or more unknowns. But just because elementaryage students are not familiar with algebraic symbolism doesn’t mean they can’t solve simultaneous equations, too! The … 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
Arranging Addends Puzzles
Below is an interactive puzzle called Arranging Addends. The goal of the puzzle is to arrange the circles and the six numbers (1, 2, 4, 8, 16, and 32) so that three conditions are met simultaneously: The sum of the numbers … 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
A Hidden Polygons Puzzle
Take a look at the two groups of shapes below. Both groups contain an equilateral triangle and a square. Now imagine that you showed students each group and asked them to identify the shapes. Do you think students would do … Continue reading
Wait for a Date
Last year, I wrote a blog post about the following probability question: Two friends arrange for a lunch date between 12:00 and 1:00. A week later, however, neither of them remembers the exact meeting time. As a result, each person … Continue reading
Posted in Math Software, Uncategorized
Tagged Dynamic Geometry, Modeling, Problem Solving, Sketchpad
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A Pythagorean Tree Grows in Your Web Browser
A little over a year ago, the Museum of Mathematics opened in the heart of New York City. I blogged about the museum last January, and have since returned with friends and a class of community college students. One of … 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