NIU-Torcs is an example of a college-level mathematics game that allows for deeper learning within the game. Brianno Coller and colleagues developed the game through an NSF grant to help their mechanical engineering students learn numerical methods (Coller & Scott 2009). Students begin the game by learning how to code acceleration and steering using the programming language C++. 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.
Three fascinating games from Steven T. Dougherty and Jennifer Franko Vasquez at The University of Scranton appear as “Ladder Games” in MAA Focus, June-July 2011. Mathematicians will enjoy the group theory and combinatorics used to explain the way the games work, while their students will have fun with these games as an intuitive introduction to the concepts.
The authors write that the three games, “…can be played by anyone regardless of their level of mathematical sophistication. When you are done playing these highly addictive games you will have a deeper understanding of permutations and group actions and you will learn a very interesting connection to coding theory. We have found that the games are very enjoyable to play and that players end up understanding complex mathematical ideas without realizing they have done so.”
This game could work in any definition-heavy math or science class lecture. In statistics class, hypothesis testing is traditionally one of the most difficult units, filled with new vocabulary and difficult concepts. To alleviate tension introducing this topic, I used bingo cards, with the vocabulary words randomized on it.
Educators coming together to explore how the principles of games promote learning
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