The Math Education Blog
What do you get when you cross geometry with the classic murder mystery game Clue? Why, the Mysteries of Polygon Flats, of course! In my prior post, I offered examples of how Web Sketchpad can help students classify special quadrilaterals like squares, rectangles, kites, parallelograms, trapezoids, and rhombuses by providing “dynamic” models of each shape...
Ah geometry, how you suffer from a lack of attention in the elementary grades! Rare is the curriculum that doesn’t stuff geometry into its final chapter, waiting patiently in line behind number and operation. But the one geometry topic that does command attention is classifying two-dimensional shapes into categories based on their properties. To quote...
This past semester, I taught a geometry course for teachers at City College here in New York. As you might expect, Sketchpad figured heavily in the course contents. But unlike other semesters when desktop Sketchpad was my tool of choice, this time, I took the plunge and limited myself to Web Sketchpad. Web Sketchpad kept...
This post, inspired by the work of Al Cuoco, uses Web Sketchpad to explore a transformations approach to complex numbers.
Given two segments and their midpoints, what quadrilaterals can you build using the segments as the diagonals of the quadrilateral?
This post examines the connections between origami and geometry in the context of a new book written by Daniel Scher and Marc Kirschenbaum.
This post examines the role of social media in promoting the discovery of an aperiodic monotile.
This post presents virtual dances based on geometric transformations. As a penguin travels around a polygon, you, as a frog, must match its movements, but with the added challenge of dancing as a reflection, rotation, or dilation of the penguin’s path.
This post presents an abundance of games that find their inspiration in three geometric transformations: reflection, rotation, and dilation.
In geometry, we learn that if we erect squares on the legs of a right triangle, the sum of their areas is equal to the area of the square on the triangle’s hypotenuse. This is visual way to conceptualize the Pythagorean Theorem. But now consider the image below that shows a bust of Pythagoras, scaled...