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Mathematical Games Dan Finkel & Katherine Cook Math for Love November 16, 2016 92Ω λ76n 0 x ψ z ∞ [) %∫ y 8 {(∑ π}θ =5ϕ+ 7 t!<3 1 math 4 love Why use games in math class? 1. 2. 3. 4. 5. Skills practice Motivation Enjoyment Deeper questions of strategy Play is the engine of learning How should you use games? 1. Warmup/Closing Games — teacher led, short in scope Examples Guess My Number, Target Number, Broken Calculator 2. Games for students to play against each other, either at a station or with the whole class. Examples Nim, Dot 10 Memory, Pig, Blockout, Horseshoes What Qualities Make a Great Math Game? 1. Has a choice for the student to make. (Top It may be ok with very young kids, but it’s better if there’s more to the game than “roll the dice, then add up your points.”) 2. Math is the engine of the game. Games like Math Jeopardy, while popular, don’t meet this bar. 3. It’s simple to learn and quick to play. 4. If a game connects visual representations to symbols, like Blockout, then that’s a big win. Games that use manipulatives are more likely to do this. Penny - Nickel - Dime I’ll roll the die 7 times. For every roll, you get to take that many pennies, nickels, or dimes. Whoever gets closest to $1 without going over wins. Damult Dice Players take turns rolling three dice. After you roll, add two of your rolls together, and multiply by the third. That is your score for the turn. by Dan Finkel & Katherine Cook 3rd & 4th Grade Math Curriculum Summer Staircase Play to 150. Tips for Launching Games 1. Take student volunteers and demonstrate the game 2. Get playing as quickly as possible 3. Have differentiation ideas ready (i.e., add quarters, use larger dice) 4. Don’t play so long that the games become tiresome Good topics to reinforce with games K. Writing numbers, counting, comparing, making tens 1. Making tens, adding, subtracting within 20 2. Adding tens and ones, skip counting by 2s, 5s, 10s 3. Place value, multiplication 4. Place value, mixing operations (+, -, x, ÷) 5. Mixing operations, fractions Where to find games mathforlove.com http://zenomath.org/toolbox/ mathpickle.com Gamifying Lessons Questions to ask yourself 1. Would this lesson be more fun/interesting/relevant as a game? 2. What’s required? (It’s always easy to generate numbers randomly using dice or cards) 3. Where’s the strategy or choice? 4. What would make the game fun? The game doesn’t have to be wildly original. Varying existing games is a great way to create new ones. Gamifying Lessons Tips 1. Avoid time pressure as a game mechanism. 2. Make your game as simple as possible. 3. Let students make your rules better. 4. Play the game before you use it. Ask yourself if it’s actually fun for you to play. (Be honest) Taking it Deeper Good questions to pursue with students: 1. Is there a strategy that helps you win this game? 2. What have you noticed about this game? 3. How could this game be made more challenging/better?