行動學習環境下的數學步道及互動解題討論系統之建置與應用

Abstract

本研究乃融合數學步道與行動學習的精神，使學習數學不再只是抽象的思考更能加入生活化的連結，行動學習支援數學步道各學習區的活動進行並使即時的互動解題辯證順利進行，讓學生當下獲得學習的成就感。研究方向定位在設計並實作一個以學校為本位，數學步道為情境、無線網路、平板電腦為工具，以行動學習來輔助數學學習的一套系統並評鑑國中一年級學生透過此系統學習所獲得的學習成效。 為達研究目的，本研究採用文獻分析、系統開發方法與準實驗研究法，首先探討相關文獻以建構「結合數學步道與互動解題討論的行動學習系統」，再發展數學步道教學活動與教材。教學實驗以北縣某國中一年級學生三班103人為研究對象。一班為實驗組，進行「結合數學步道與互動解題討論的行動學習」；另兩班則為對照組，分別進行戶外紙本數學步道教學與室內紙本數學步道教學。實驗結束後，利用統計方法針對不同組別學生以及各組高、中、低分群學生的數學學習成就、數學學習態度、數學連結能力表現進行資料分析，得到以下結論： ㄧ、「結合數學步道與互動解題討論的行動學習系統」對提升高、中、低分群學生的數學學習成就有明顯助益。 二、「結合數學步道與互動解題討論的行動學習系統」對提升學生的數學學習態度有明顯助益。使用「結合數學步道與互動解題討論行動學習系統」的學生數學態度顯著優於實施「戶外紙本數學步道活動」與「室內紙本數學步道活動」學生。 三、「結合數學步道與互動解題討論的行動學習系統」對提升高、低分群學生的數學連結能力有明顯助益。 四、「結合數學步道與互動解題討論的行動學習系統」對提升學生察覺、轉換、解題、評析等數學連結能力表現上有明顯助益。

This study aims to combine the benefits of math path and mobile learning. We try to make learners understand abstract mathematical concepts via math path learning. By using interactive problem solving discussion system in mobile learning environment, learners would be able to solve math problems in a group. Each student would use a tablet PC to take the advantage of mobile learning. They would build up meaningful foundation knowledge using situated, on-line interactivity and scaffolding aided learning environments. Through real time learning and discussion, learners clarify and refresh their thought by teaching each other. The purpose of this study is to build up the mobile math path system and evaluate the effects of students’ mathematics achievement by using the system.

In order to achieve the objective of this study, the research adopts relevant literatures, consults with systematic development approaches, and the quasi-experiment research results. First, relevant research papers on the topic of math path are reviewed in conjunction with the development in mobile learning, and then developments in the mathematics path teaching activities and teaching materials are considered and experimented. After the experiment, statistical methods are used for further analysis, which draws the following conclusions:

1. “The mobile math path problem solving discussion system” clearly improves the learning achievement for students of all levels of proficienciesin mathematics.

2. “Mobile math path problem solving discussion system” obviously improves students’ attitudes towards learning mathematics. Students use “Mobile math path problem solving discussion system” have more positive attitudes and dedicated engagements towards mathematical subjects than students taught by the outdoor and indoor math path courses. 3. “Mobile math path problem solving discussion system” deeply improves the top and the bottom thirds of students’ math link-ability to solve problems.

4. “Mobile math path problem solving discussion system” consistently demonstrates visible benefits to the students in improving their conceptual developments about math, the techniques of math transformation, the ability of problem solving, and the skills to evaluate and analyze mathematical ideas.