| Summary: | 數學能力向來被視為解決問題能力的重要基礎。隨著知識經濟時代的來臨，數學愈加受到重視，數學教師的教學效能亦面臨新的挑戰。為了協助師培生發展更具創意與多元的教學方式，本研究在中學數學科教材教法之課堂中，提供學生以知識翻新（knowledge-building）(Scardamalia, 2002) 教育理念為核心的課程設計，並使用知識論壇(Knowledge Forum™)數位學習平台作為本課程的線上輔助學習環境。研究主要目的在利用教室中與論壇上的知識翻新活動以提昇師培生對數學相關信念之反思與瞭解。研究對象為9位師培生。本研究透過混合研究設計以蒐集資料，資料來源包括：（1）整學期師培生在「知識論壇」平台上之討論與貼文；（2）期初與期末的數學信念開放式問卷；與（3）師培生的試教。資料分析方式如下：(1)平台上的貼文主要使用知識論壇分析工具(Analytic Toolkit for Forum)探討師培生在平台上的互動與知識翻新歷程；（2）數學信念開放式問卷主要以兩種觀點進行內容分析並交叉檢證；與（3）試教過程(錄影檔)以開放式問卷所產生之編碼進行影片內容的分析。
研究結果發現：（1）以知識翻新理論為原則之課程設計有助於師培生發展更建構取向之數學信念；（2）使用知識論壇平台有助於師培生分享知識與自我反思；（3）數學信念與教學實踐呈現相互影響的關係；以及（4）透過知識翻新的課程設計，師培生逐漸理解多元與彈性的教學對學生學習的重要性。本研究根據研究結果提出以下幾點建議以供未來師培教育之參考：（1）數學師資培育必須將專業學術知識的學習與成熟信念的養成作更密切的銜接；（2）師培機構進行課程設計時，應提供更多元開放的教學方式來幫助師培生學習；（3）師培教育應鼓勵師培生發展更能適應未來學生學習之教學方法。
=== The purpose of this study was to investigate the impact of knowledge building pedagogy and technology on preservice teachers’ views on the nature of, and teaching practices in, mathematics. Participants were nine preservice teachers who took a university course titled “High-School Mathematics Teaching.” A software program called Knowledge Forum was employed to enable an online knowledge building environment for preservice teachers to explore, reflect, and discuss about the nature of, and teaching practices in, mathematics.
Data mainly came from three sources: (1) preservice teachers’ online posting and discussion recorded in a KF database, (2) a survey about mathematical beliefs with eight open-ended questions, and (3) preservice teachers’ teaching practice videos. To analyze, (1) online discussion records automatically recorded in Knowledge Forum were analyzed using descriptive statistics; (2) open-ended survey questions were content-analyzed following an open-coding procedure; and (3) two cases of preservice teachers’ teaching practice were further explored by employing video analysis techniques. The main findings were as follows: (1) engaging in knowledge building was found to help preservice teachers develop more constructivist-oriented mathematics beliefs; (2) use of Knowledge Forum was helpful for preservice teachers in sharing their knowledge and reflecting on their teaching; (3) mathematics beliefs and teaching practice could mutually influence each other; (4) after engaging in knowledge building for a whole semester, preservice teachers were able to realize the importance of capitalizing on more diversified ways of teaching to enhance student learning.
Building on the results, this study made the following three suggestions: (1) teacher education program should pay more attention to integrating the learning of pedagogical content knowledge into the development of more mature mathematical beliefs among preservice teachers; (2) teacher education program should encourage more diversified and flexible ways of teaching practice when designing its courses; and (3) teacher education program should encourage preservice teachers to develop more adaptive teaching practices to help students learn in the future.
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