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A Kaleidoscope works as a combination of reflections. Mirrors are typically arranged in an equilateral triangle producing multiple reﬂections as a symmetric pattern which changes as the triangle rotates.
The apps in this collection explain how it's done, and then, of course, turn the kaleidoscope into a clock!
Exploring Archimedes Trammel, an ancient tool for drawing ellipses.
This collection contains apps that will help teachers implement the Common Core Statistics Standard S-ID 6a, b, c for High School Mathematics.
Some apps illustrating Philip Todd's Presentation Using Force to Crack Some Geometry Chestnuts
by Mark Levi
A selection of illustrations from a few propositions in Books 1, 2 and 6 of Euclids Elements
A couple of apps to let you explore a simple box solar cooker
A collection of whimsical timepieces
Student generated Calculus Apps
Apps to accompany my talk \"Solve First - ask questions later\"
These apps accompany the presentation Finding the Fermat Point by Physics and by Transformation
in the More Favorite Geometry Proofs
session at MathFest 2014
Like your hands, an abacus lets you count in fives and tens. The first pair of columns are for hours, the second pair for minutes and the third pair for seconds. The bead at the top of each column counts for 5 single beads. The beads in the main compartment of the left column each count for 10 single beads. The bead in the top compartment, left column, counts as 50.
This collection contains apps that will help teachers implement Common Core Algebra Standard A-SSE 3a for High School Mathematics.
This collection contains apps that will help teachers implement Common Core Functions Standard F-BF 3 for High School Mathematics.
Theorems involving circles
This collection contains the examples apps that were created for "Creating HTML5 Apps with Mechanical Expressions."
The first diagram is from Archimedes' Liber Assumptorum (book of Lemmas).
The later diagrams are generalizations to conics.
This collection features several apps that were created for the electronic book for the iPad that adds interactive diagrams to Euclid’s Elements, a mathematical classic (Available from the iTunes store).
Our binary digital clock has 3 sections, red beads for hours, purple for minutes and cyan for seconds. Beads in the up position represent the binary digit 1, beads in the down position represent 0. In addition to the Binary Clock, we've provided a Binary Test app to practice your binary numbers.
A collection of examples which explore the properties and uses of reflections and combinations of reflections.
This collection contains apps that will help teachers implement Common Core Standard 7.EE.1 for 7th grade mathematics.
Archimedes Trammel is a device for drawing ellipses.
5 clever geometry puzzlers. Can you solve them all?
This collection contains apps that will help teachers implement Common Core Standard 8.G.6 for 8th grade mathematics.
A collection of puzzlers that involve points that are located proportionally by functions or constants on curves.
A sequence of apps exploring some interesting characteristics of odd-sided regular polygons.
Apps for presentation entitled "Creating electronic handouts and assessments as browser, tablet or smartphone apps"
This collection contains apps that will help teachers implement Common Core Function Standard F-TF 2, 3, 5 for High School Mathematics. Apps with an * indicate that they address the modeling standard.
This collection contains the examples apps that were created for "Creating HTML5 Apps with Geometry Expressions."
Some apps illustrating ideas in The Mathematical Mechanic
by Mark Levi
Some Examples from Discovering Geometry
Apps accompany Phil Todd's presentation: "Symbolic mechanics: from optimal trebuchets to simple chaotic machines"
These apps are taken from Book I of Euclid\\\'s Elements. Proposition 1 shows how to construct an equilateral triangle. Proposition 2 demonstrates how to create a straight line equal to a given straight line. Finally, proposition 3 teaches how to cut off a straight line that is equal to a given line from a larger line.
Some apps involving ellipses , hyperbolas and parabolas
This collection contains apps that will help teachers implement Common Core Geometry Standard G-GPE 1, 3 for High School Mathematics.
This collection contains apps that will help teachers implement Common Core Standard 6.G.1 for 6th grade mathematics.
Machines which find extremal triangles related to a given curve
These apps will test how good you are at function composition.
Given a triangle, to find the inscribed triangle with minimum perimeter
Two apps exploring rotating, tangent ellipses.
Collection of Java Applets
Several of these exist already, but these are my favorite apps from the original book.
We begin this collection of weird and wonderful mathematical clocks with the Morphing Clock that changes shape as time passes. The Geometry Expressions file is included so you can see how it was made and make new versions for yourself!