A simple game for learning base systems illustrates many of the connections between game based learning and other pedagogies. This game can be played in a liberal arts or mathematics for elementary education class. The game is a variant of Bizz Buzz, often played as a drinking game. Students sit in a circle and count off — one, two three, four.
After this four bizzes , the count changes — one, two, three, four, buzz. This is a base 5 counting game, with 10 5 , or 5, represented by bizz, and 5 , or 25, represented by buzz.
The game typically engenders much laughter as students who are not quite paying attention say 5 instead of bizz, or bizz instead of buzz. But the game is not too hard, and soon everyone gets the hang of it. Explicit connections can then be made between the game and the notation for base 5. The connection can also be made to base 5 manipulatives — units, 5-unit rods, and unit squares.
The game can later be played in a different base, to extend the difficulty level and to deepen understanding. This game introduces students to the concept of exponential growth.
It can be played as the spread of a rumor, or the spread of a virus, and works well in an algebra or modeling course, in a quantitative reasoning course, or a liberal arts mathematics class. Students are instructed to stand up and mill around. After enough rounds so that everyone has a yes for a class of 35, this is usually about 6 rounds , students sit down and a chart is made of how many had a yes at each round.
Connections are then made to doubling, and to powers of 2, which then leads to a discussion of exponential growth. Note that the growth modeled here is actually logistic, since there is a limit to the number who will have the rumor or virus, but if the game is played only up to a certain number of rounds, it mimics plain exponential growth nicely — as does the spread of a rumor or virus in a large population.
The game can later be played with different growth factors, such as introducing some amount of immunity a person only gets the virus after being exposed twice, or three times or increased virulence each person shows two or three people their card, on each round.
The Spread of a Rumor can be seen as a simulation, rather than a game, although the distinction between a simulation and a game is often only a matter of semantics. NIU-Torcs is an example of a college-level mathematics game that allows for deeper learning within the game.
They then move to making the car move fast without skidding off the road, by calculating numerical roots, solving systems of linear equations, and doing curve fitting and simple optimization.
The authors report that students are motivated to keep trying far more than when given these types of problems as meaningless homework exercises. Concept maps produced by the students in both the game-based and traditional classes showed that although measures of low-level knowledge were statistically identical, students in the game-based class had much greater levels of deep thinking, which included being able to compare and contrast methods and link concepts together.
In addition, student attitudes about the class had changed — they were more engaged, and more able to recognize the value of the mathematics they were doing.
Put students in groups! But then you have to grade them. The leader asks each person in the group in turn to contribute a word, letter or number until all the blanks are filled in, including the number blanks at the end.
If a person gets stuck on a word, they can use one of the ones on the board. After all the blanks are in, the leader reads the story and the group works out the problems. A number between 80 and 90 a number between 5 and 70 Find the probability that a random person at the parade is wearing sunglasses.
Find the probability that a random person at the parade is not wearing sunglasses. A number between 10 and 20 a number between 30 and 40 Find the probability that a random person at the restaurant got sick. Find the probability that a random person did not get sick. Download here : xPonum, which helps students learn shifts and zeros for equations of all types Algebots, an equation-solving puzzle-game.
Download here. A function relates an input to an output. But from that simple foundation many useful things can be built.
It is the next major step after linear equations where the exponent is 1, like x. We already know about exponents And together they can be very powerful.
What happens when we have two or more linear equations that work together? Looking for free Math Games? Scroll down the page to check out our collection of Free Online Math Games available on the Internet - games that teach, build or strengthen some math skills and concepts while having fun.
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