## Sunday, November 29, 2015

### 214: In Search Of The Ultimate Math Game

With the holiday season upon us, many of you out there are probably giving or getting new tech gadgets as gifts.    Once you unwrap your fancy new iPad, iPhone, or Android tablet, you’re probably asking yourself, “Now what do I do with this?”    While you will probably be downloading lots of fun games and apps, you will somehow need to justify all the hours you spend in front of the screen to your family.    One of the best ways to do this is to install a few math-related games, and provide some educational value for your children.   But there is a bewildering array of supposedly educational games available for these systems.   How do you know which ones to get?     Today I will share some suggestions based on my experiences.

The first thing I should point out is that there are hundreds of games out there that are basically glamorized flashcards, presenting math problems directly and giving some kind of in-game reward for correct solutions.    For example, they will put up a math problem, like “What is 5 x 5?”, and if the answer is correct, the player gets a few points.   These points can then be traded in for virtual stickers, virtual ammunition against alien robots, or similar rewards.   While there is nothing wrong with this type of game, and they have the advantage of being able to easily draw on large libraries of problems for different skill levels, I don’t find them very exciting.    My daughter will play them if I tell her she needs to practice her math, but doesn’t usually come to me asking to play them.   What I really want are original games that both teach math and can stand on their own as fun games.   Fortunately, I have found two games that fit these requirements.

The first game I want to highlight is called “DragonBox Elements”.    This game is designed to teach the basics of geometric proofs, a seemingly advanced topic, but they present it in a very accessible and intuitive way.    Each basic shape, triangles and quadrilaterals, can summon a basic type of monster related to that shape.    So if you can identify a quadrilateral among the shapes on the screen, you trace it out and summon a quadrilateral-monster.   Line segments and angles are also marked with colors, such that any two objects with the same color have equal length, and you can upgrade the monsters to “special” ones using these.   So, for example, if you notice a triangle-monster has two equal sides, you can click on them to upgrade to the slightly more powerful isoceles-monster.   The monsters also have powers, which essentially invert this process:  so if you have been given an isosceles-monster and its two equal sides are not yet colored, you can click on the monster and the two sides to mark them as equal.   They also introduce other powers related to ideas like opposite angles, radii of circles, and parallel lines.   So the basic Euclidean concepts of definitions, axioms, and theorems have been transformed into monsters and powers.    I’m not totally sure how this will translate to actual proof skills when my daughter reaches that level of math class, but laying the foundations at such a young age can’t hurt.   And more importantly, she loves this game, even asking to replay all the levels at “hard” difficulty after beating it once.