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Design and Application of a Visual Experience Game in Game Mathematics

게임수학 시각체험 게임 설계 및 적용

  • Choi, Youngmee (Div. of Media Software, Engineering School, Sungkyul University)
  • Received : 2018.10.04
  • Accepted : 2018.12.10
  • Published : 2018.12.31

Abstract

The purpose of this study is to design and apply a simple game that can visually experience basic concepts of game mathematics in order to teach game mathematics effectively. To do this, simple games linked with game mathematical theory are to be developed by utilizing the functions provided by Unity so that students could actively learn game mathematics. To demonstrate the plausibility of this approach, "Bouncing Ball Game" was developed to understand the concept of periodicity of trigonometric functions. As a result, students were able to effectively learn how mathematical concepts related to ball movements applied to the game.

Keywords

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Fig. 1. Definition of Unit Circle.

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Fig. 2. Trigonometric Function Over 90 Degrees.

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Fig. 3. Periodicity of Unit Circle. (a) Dot P with θ, (b) Added 360o To θ.

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Fig. 4. Period of Sine Wave.

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Fig. 5. Absolute Value of Sine Wave.

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Fig. 6. One Page Planning Document of 'Bouncing Ball' Game. (a) Sketch, (b) Completed.

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Fig. 7. Play of 'Bouncing Ball' Game. (a) Ball reached the peak height, (b) Ball bounced after colliding with the ground.

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Fig. 8. Play of 'Bouncing Ball' Game. (a) Original, (b) Remade.

Table 2. Script that setting height of a ball

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Table 3. Remake points of 'Bouncing Ball' based on Fun Elements of game.

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Table 1. Free Fall and Perfect Elastic Collision of An Object

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