應用 Unity 設計國中數學教學活動

Abstract

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 teachingsoftware 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.