Mathematics programs All of these programs were built with LiveCode. Portions (c) 2000-2014 RunRev Ltd, All Rights Reserved Worldwide.
Note: All of the Mac software has been updated to run under the latest MacOS (10.9.x - 11.x). When you run a downloaded installer package, the program should appear in Applications. Move zipped files to the desktop and then open them. Probability Simulator - Flip coins, roll dice, spin spinners, and investigate the probabilities of various outcomes. Also examine some challenging and seemingly paradoxical probability problems. (high school and college level)
LinePoints - Represent lines in a plane as single points. The line defined by y = 2x+3, for example, can be represented by the point (2,3). How can you find the intersection of two lines just by looking at their representations as points? Also represent hyperbolic and exponential functions as single points. The hyperbola defined by y = 4/(x-3), for example, can be represented by the point (3,4). Extensive documentation now included. (high school level)
Circle Art - Tracing and Connecting Points on Rotating Circles - Trace points on circles that are revolving around points on revolving circles, trace points on circles rolling around the inside or outside of a larger circle, or connect points on circles acting as gears. UPDATED (12/21/2022) Now also available for the iPad (1/8/2032)
--------------------------------------------------------------------------------------------------------------------------------------------------- Mystery Motion - Try to determine the two-dimensional motion of an object as it travels across a table after observing only its one-dimensional motion as seen from the front or the side.
GeoFit2.0 - Create all sorts of interesting patterns with this digital version of Donna Bretl's wooden Bretl Block puzzles. Go to the blog page to see some sample "solutions." Latest version includes additional color choices. (all grade levels)
--------------------------------------------------------------------------------------------------------------------------------------------------- SquArray - Investigate 3x3 and 4x4 arrays of both numbers and shapes. Make magic squares, create beautiful geometric patterns that change in surprising ways when you manipulate them, or solve the famous 14-15 puzzle. The iOS version is again available. (all grade levels)
Reckonings 2 - a game which challenges you to reach nine target numbers by arithmetically combining a randomly selected group of four given numbers. Use addition, subtraction, multiplication, division, squaring, cubing, and parentheses in your equations.(lower and middle school level)
--------------------------------------------------------------------------------------------------------------------------------------------------- Algernon - a program that challenges you to guide a mouse through a maze by giving it a series of forward, right, and left commands. (lower and middle school level)
Arithmetic Triads - arithmetic practice program emphasizing the relationships between adding, subtracting, multiplying, and dividing. Includes graphical representations of problems, and option to include negative numbers. (lower school level)
FactorMan - a game that tests your knowledge of factors. Play against the computer (FactorMan) or play against another person. (lower and middle school levels) New version 4 (08/22/2023).
ArithmeDarts - a game designed to build number sense and estimation skills. Aim the darts by specifying the coordinates of target balloons or predict whether at dart aimed at a certain coordinate will hit one of the target balloons. Lots of options are available in order to raise or lower the level of difficulty. (lower and middle school level)
Arithmetic Quilts - a program that creates mod arithmetic tables using colors instead of numbers. Beautiful and intricate patterns result. Values in the tables are based on either basic arithmetic operations or on the results of recursive formulas. (all grade levels)
Calc Visualizer - Explore some basic calculus concepts. Eight modules help you visualize what differential and integral calculus are all about. (high school and college level) All versions updated (9/12/2023).
-------------------------------------------------------------------------------------------------------------------------------------------------- MathPats - Create spirolaterals, geometric patterns formed by a repeated sequence of segments and angles. Investigate prime numbers, search for special types of primes, and discover some surprising patterns. Start with any whole number between 0 and 99. If it is an odd number, then multiply it by 3 and add 1; but if it is an even number, divide it by 2. Repeat the process with the resulting number. Do this over and over. What happens in the long run? Does the sequence of numbers get pulled into a "black hole"? Change the rules - multiply by some other number and/or add some other number. Investigate the hidden beauty and complexity of the Mandelbrot Set. Zoom in on a specific region of the complex plane and vary the maximum number of iterations. (all grade levels)
-------------------------------------------------------------------------------------------------------------------------------------------------- Recursivity - Partly a book, partly a set of demonstrations, and partly an exploratory tool, this app is all about recursive functions, chaos, and fractals. Investigate the Mandelbrot Set, Julia sets, Newton's method of finding complex roots, Sierpinski's triangle, Pascal's triangle, and patterns created by cellular automata. Explore mathematical beauty and complexity (high school level and up). NEW (7/31/2020)
-------------------------------------------------------------------------------------------------------------------------------------------------- Triangulator (aka The Triangle Center) - Explore the "centers" of a triangle: centroids, incenters, circumcenters and many more. Also learn about trilinear and barycentric coordinates. Note - look for the downloaded Mac app in your Applications folder. NEW (4/26/2021)
Statistical (aka Statisticality) - Partly a book, partly a set of demonstrations, and partly a tool, this app introduces you to basic statistics. Topics include box & whisker plots, histograms, median-median lines, linear regression lines, probability distributions, the Central Limit Theorem, and the normal curve. You can enter your own data or work with the provided sample data. Samples include information about US presidents, professional basketball players, coin flipping, dice rolling, the minimum wage, and the expansion of the universe! Each page inludes a Read Me button for basic instructions and a Details button for information about the underlying mathematical concepts. NEW (4/28/2022)