思考层次影响之研究.pdfVIP

網路式專題導向學習對國小高年級 學童van Hiele 幾何 思考層次影響之研究 摘要 荷蘭數學教育家 van Hiele 夫婦在1957 年提出學生幾何思考的發展模式，分別 為視覺化、分析、非型式歸納、型式歸納和嚴密性等五個層次，層次的發展與教 師的 教學因素有關，不受學生年齡是否成熟影響，學習者經由適當的教導及學習 經驗能夠從最基本的視覺化階段，最後達最高的嚴密性的層次。因此 ，課程的設 計與教師教學的方式對學生是否可以達到較高的思考層次及良好的學習經驗具關 鍵的影響因素。專題導向學習有助於提升學生的學習動機、高階層次的問題解決 與思考能力，是一種系統化的教學方法，透過複雜真實問題與精心設計的任務探 索過程，將學生融入知識與技能學習的活動當中，隨著科技的發展，專題式導向 的學習也漸漸地網路化。 具此，本研究將以網路式專題導向學習進行數學科幾何 圖形的教學，探討國小高年級學童的學習成效及幾何概念發展層次分布情形。研 究結果顯示，透過網路式專題導向學習有助於國小高年級學生在 van Hiele 幾何思 考層次一和層次二的表現。 關鍵字：專題導向學習 、幾何思考發展模式、幾何概念 The Impact of Web Project-Based Learning on Elementary School Students’ Development of Van Hiele’s Geometric Thought Abstract The Dutch mathematics educators Van Hiele couple in 1957 proposed a model of theory described how children develop geometric theorems, which consisted of five levels of understanding: visualization, analysis, informal deduction, formal deduction and rigor. The development of the levels is more dependent on the instruction received than on children’ age of maturity. Learners advanced from basic level (visualization) to the highest level (rigor) through instruction and learning experience. Therefore, whether students can achieve high level of understandings, curriculum design and teaching methodology are the significant factors. Project-based learning enhances students’ learning motivation, high-end level of problem-solving and thinking skills, which is one of the systematic teaching methods. Students involve in activities that integrated knowledge and learning skills through the process of exploring complex authentic- questions and carefully designed tasks. With the development of technology, project-based learning gradually tends to be web-based. The study adopted Web project-based learning to fifth to sixth grade students in elementary school to explore their learning effectiveness and development level in Van Hiele’s geometric theory. The resu