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研究生: 江釧池
Chiang, Chuan-Chih
論文名稱: 應用 Unity 設計國中數學教學活動
Utilizing Unity to Design Mathematical Teaching Activity in the Junior High School
指導教授: 許志農
Hsu, Chih-Nung
口試委員: 黃森山
Huang, Sen-Shan
郭君逸
Guo, Jun-Yi
許志農
Hsu, Chih-Nung
口試日期: 2022/07/21
學位類別: 碩士
Master
系所名稱: 數學系
Department of Mathematics
論文出版年: 2022
畢業學年度: 110
語文別: 中文
論文頁數: 216
中文關鍵詞: 行動學習Unity數學教學活動數學遊戲
英文關鍵詞: m-Learning, Unity, mathematics teaching activity, math games
研究方法: 半結構式訪談法設計本位研究
DOI URL: http://doi.org/10.6345/NTNU202200901
論文種類: 學術論文
相關次數: 點閱:114下載:20
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  • 本研究使用Unity遊戲編輯引擎製作數學遊戲軟體,並進一步設計以數學為主軸,學生為主體一系列數學教學活動,以符應新課綱中各個學習重點,提供學生由教學活動中學習數學相關知識,從中鑑賞數學之美。產出作品分為單人拼圖遊戲、雙人組合遊戲,「馬克思·登角型鑲嵌」—以單人遊戲的模式讓學生思考幾何圖形的奧妙;「響尾蛇連線」—由Nash棋衍生的連線遊戲,發展學生遊戲及對戰策略;「佔三角形房子遊戲」—雙方思考如何占據最多地盤,過程中驗證自己的猜想與遊戲策略;「細胞遷徙遊戲」—以正六邊構造形成的遊戲,每次只能往其中一個方向前進,直到玩家不能前進為止;「橫衝直撞遊戲」—細胞遷徙遊戲的變化版,遊戲棋盤改為正方形構造的遊戲;「線型砌磚遊戲」—線型點選磚塊的遊戲。此數學軟體適用於Windows電腦、Android平板或手機裝置,提供教學相關用途,同時設計各教學工作單以揭示教學活動實施流程。研究方法採用設計式研究,教學工作單、教學軟體經數次專家小組改良數學軟體、教學工作單,期待能在教學現場中發揮作用。研究結果為六款遊戲軟體及其教學工作單,未來能提供教師於課程中使用,適合作為彈性課程材料。

    This research utilizes Unity as the main construction platform to design mathematics game software, and further designs a series of mathematics teaching activities with mathematics worksheets. The curriculums match the Curriculum Guidelines of the 12-Year Basic Education. With the aim of appreciating the beauty of mathematics. The results are 6 session activities including six softwares and their teaching worksheets. Single-player jigsaw puzzles and two-player combination games. "MaxPuzzle" — a single-player mode to let students think about the mystery of geometric figures. "SnakeLine" — a connection game derived from Nash chess , develops student games and battle strategies. "TriangleHouse" — players think about how to occupy the most territory, and verify their conjectures and game strategies in the process. "CellMigration" — a game formed by a regular hexagonal structure, each time only migrate in one of these directions until the player can't go any further. "Burnout" — a modified version of the CellMigration , the game board is changed to a game with a square structure. "LinearBricks" — a game of laying bricks in a line. This math software is designed for teaching-related purposes and is suitable for Windows computers, Android tablets, and mobile devices. At the same time, all the teaching worksheets are designed to reveal the implementation process of teaching activities. The research method adopts design research, and the teaching worksheet and teaching software have been improved by several expert groups, and the mathematics software and teaching worksheets are expected to play a role in the teaching field. They are suitable as flexible course materials, which can be used by teachers in the course in the future.

    第一章 緒論 1 第一節 研究動機與目的 1 第二節 研究問題 3 第三節 重要名詞釋義 4 第四節 研究範圍與限制 5 第五節 研究後續 6 第二章 文獻探討 7 第一節 Unity遊戲引擎 7 第二節 數學遊戲 15 第三節 行動學習理論 18 第四節 數學教學活動 22 第三章 研究方法 25 第一節 研究流程 25 第二節 研究架構 26 第三節 研究設計 27 第四節 研究工具 28 第四章 研究結果 37 第一節 教學遊戲工作單 37 第二節 數學遊戲回饋 98 第五章 結論與討論 101 第一節 結論 101 第二節 建議 102 第三節 遊戲開發建議 102 第四節 遊戲與工作單電子檔 107 參考文獻 108 附錄一 馬克思登角型鑲嵌工作單(教師版) 112 附錄二 響尾蛇連線工作單(教師版) 120 附錄三 佔三角形房子遊戲工作單(教師版) 132 附錄四 細胞遷徙遊戲工作單(教師版) 144 附錄五 橫衝直撞遊戲工作單(教師版) 156 附錄六 線型砌磚遊戲工作單(教師版) 169 附錄七 馬克思登角型鑲嵌程式碼 179 附錄八 響尾蛇連線程式碼 185 附錄九 佔三角形房子遊戲程式碼 194 附錄十 細胞遷徙遊戲程式碼 199 附錄十一 橫衝直撞遊戲程式碼 205 附錄十二 線型砌磚遊戲程式碼 211

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