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本研究探討設計導向的知識翻新學習對師培生的學習有何影響，包括探討其學習結果與學習歷程，同時本研究也分析各學習分組間的差異。研究對象為修習教學媒體與操作課程之44位師培生，以小組為單位進行課程，每組4至5人，共分為10組，採個案研究法。 資料來源包括：(1)師培生三次教案設計；(2)師培生三次教案設計之組內討論；(3)師培生三次教案設計後同儕回饋。資料分析方式說明如下：其一、將三次教案設計根據改編的教案評量表進行教案品質評分，透過相依樣本無母數檢定，比較其成果是否有所改變。其二、根據Mishra和Koehler（2006）所提出之七項教學知識架構，將三次基於教案設計的小組討論及同儕回饋進行編碼，以了解各組想法及回饋中所包含的教學知識有何改變；並以想法類別編碼分析各組師培生討論之想法有何差異。其三、利用集群分析各學習小組，比較不同集群之間學習成果與學習歷程之異同，並藉由質性分析探討各小組如何討論及設計教案，並剖析差異原因。 主要研究結果如下：(1)師培生整體教案設計品質提升，其中又在教學創新及創意表現向度（Z= 2.87，p < .01）與教學架構向度（Z=2.55，p < .05）上有顯著成長。(2)在各組教案設計討論過程中，發現包含一項教學知識的想法數量有顯著減少趨勢（Z=-2.81，P<.01）；在各組收到的回饋中也發現，回饋包含兩項教學知識者於期末則有明顯成長趨勢（Z= 2.19，p < .05）。(3)利用集群分析將各組師培生教案設計所討論的想法進行分類，結果得到兩大集群，其一在認知及後設認知類型想法中產出較多，命名為想法高產出組；另一群則相反，命名為想法低產出組。此外研究還發現，想法高產出組在教案設計之創新及創意面向（t=2.33，p<.05）、教學媒體及科技面向（t=2.80，p<.05）顯著高於低想法產出組，也較低產出組能產出更多認知及後設認知類型討論想法。 綜上述而言，本研究發現設計導向的知識翻新學習歷程有助於師培生教學媒體教案設計之翻新，並提升師培生在討論及回饋中融合運用教學知識之能力。此外亦發現，能提出較多高階類型想法組別，其教案設計之創新程度、科技使用品質及給予他組回饋的表現上，相較之下也較佳。本研究建議教師在教學上應同時兼顧師培生討論數量及品質，鼓勵學生不斷提升討論的想法層次，並適時介入低產出組學生討論之中，協助學生不斷改進其教案設計的想法，以提升其教案設計所需的相關教學知識。 / The purpose of this research was to investigate the effects of design-based knowledge building on pre-service teachers’ teaching knowledge. This research adopted a case study design. Participants were 44 undergraduate pre-service teachers who engaged in a course pertaining to the design of instructional media. They were divided into 10 learning groups. Data sources included: (1) pre-service teachers’ design of three lesson plans; (2) pre-service teachers’ discussion within groups; and (3) peer feedback after presentation of each group’s lesson plan. The process of data analysis is as follows: First, lesson plans were assessed by an evaluation form, and then analyzed by using nonparametric tests to see if there was any change in the design of lesson plans. Second, the three discussion and peer-feedback activities within each group were analyzed by open coding using two different coding schemes: “Technological Pedagogical Content Knowledge—TPACK” (Mishra & Koehler, 2006), and quality of ideas. Third, using cluster analysis to divide 10 groups into different clusters, this study further compared students’ learning processes and outcomes between groups. The findings were as follows: (1) It was found that the design quality of lesson plans were enhanced, especially in terms of the innovative and creative teaching performance dimension (Z = 2.87, p <.01) and the design framework dimension (Z = 2.55, p <.05); (2) In the course of group discussion, teaching ideas that contained only one type of teaching knowledge (e.g., content knowledge) had decreased significantly (Z=-2.81，P<.01). Teaching feedback (received from other groups) regarding two types of teaching knowledge (e.g., pedagogical content knowledge) increased significantly (Z= 2.19，p < .05). (3) Using cluster analysis, this study classified 10 groups into 2 clusters based on groups’ discussion about teaching ideas. One cluster outperformed in both cognitive and meta-cognitive types of teaching ideas was named high-productive cluster; the other cluster was named less-productive cluster. High-productive cluster was superior to low-productive cluster in terms of the “Innovative and Creative Teaching” and “Instructional Media and Technology Use” dimensions for lesson plans, and in terms of the quality of feedback they provided to their peer groups. The main findings were as follows: (1) Design-based knowledge building helps pre-service teachers’ to design more innovatively their lesson plans and to enhance their teaching knowledge; (2) It was found that the groups who could work more creatively with ideas could also produce more innovative lesson plans, and were also more likely to give away quality feedback to other peer groups. Based on the findings, it is suggested that teachers should not just pay attention to the quantity of discussion posts, but also the quality of idea discussed. It is also important to encourage student to work innovatively and collaboratively with ideas during discussion. Teachers should also try to intervene and help provide necessary scaffolds to the low-productive groups so as to encourage them to continuously improve their teaching ideas.

The widespread use of Dynamic Geometry Software (DGS) is raising many interesting questions and discussions as to the necessity, usefulness and meaning of proof in school mathematics. With these questions in mind, a didactical sequence on the topic “Conics” was developed in a teacher education course tailored for pre-service secondary math methods course. The idea of the didactical sequence is to introduce “Conics” using a concrete manipulative approach (paper folding) then an explorative DGS-based construction activity embedding the need for a proof. For that purpose, the DGS software serves as an intermediary tool, used to bridge the gap between the physical model and the formal symbolic system of proof. The paper will present an analysis of participants’ geometric thinking strategies, featuring proof as an embedded process in geometric construction situations.

本研究旨在探討實習課對職前華語文教師教學信念與教學行為之影響，以某國立大學華語文教學碩士學程二年級的七位台籍學生為研究對象。首先，教學信念之探討係透過質性訪談、試教後的反思札記、及修改前後之教案等相關資料進行分析；其次，教學行為的探討則以剖析職前華語文教師試教錄影檔案中的行為表現為主；最後，再進行交叉比對，以探究教學信念與教學行為之間的關係。主要研究問題為：第一，實習課如何影響職前華語文教師教學信念(共分為教學方式、師生角色、課程與教材、教學任務四個面向進行探討)？第二，藉著實習課錄影檔案，探究職前華語文教師的具體教學表現行為為何？第三，教學信念及教學行為之間的關係為何？分析方式則是藉由Nvivo 統計分析軟體編碼以質化方式分析教學信念，其次以量化方式分析教學行為，然後再以紮根理論方式探討教學信念與教學行為間的關係。 研究結果顯示：(一)本個案中的教學實習課對職前華語文教師所形塑之教學信念較趨向效能取向; (二)本個案中的教學實習課對職前華語文教師教學行為之影響主要為提高其以學生中心方式教學的比例; (三)本個案中的職前華語文教師之教學信念與教學行為間的關係並非完全一致，而是呈現出些微相異處；(四)整體而言，教學實習課有助於職前華語文教師增進教學專業能力，亦其助其瞭解學習者特性知識與教育現場所需的脈絡知識。最後，根據研究結果，本研究提出相關建議供未來華語文師資教育之參考。 / This case study aims to understand how teaching practicum might impact pre-service teachers’ teaching beliefs and teaching practices. Participants were seven Taiwanese Chinese language pre-service teachers who were in their 2nd year of graduate study and they were from the Department of Teaching Chinese as Second Language at a national university in Taiwan. To implement, firstly, this study analyzed pre-service teachers’ teaching beliefs using qualitative interviews, reflective teaching journals, and their teaching plans and other relevant information. These data were coded by using Nvivo statistical software. Secondly, this study analyzed pre-service teachers’ teaching practice using their videotaped records. Lastly, this study made use of all above collected data in a more integrated manner to analyze the relationship between pre-service teachers’ teaching beliefs and their teaching practices based on grounded theory. The main findings of this study include the following: (1) After teaching practicum, the teaching beliefs of the participating pre-service teachers became more efficiency-oriented; (2) After teaching practicum, the teaching practices of the participating pre-service teachers became more likely to perform more student-centered teaching; (3) It was found that the relationship between pre-service teachers’ teaching beliefs and teaching practices was not fully consistent; (4) Overall, it was found that teaching practicum employed in this course not only enhanced pre-service teachers’ professional teaching ability but also equipped them with more knowledge of learners, as well as learners’ characteristics, and more knowledge of educational contexts. Based on the findings, three suggestions for cultivating more effective Chinese language pre-service teachers were made.

The goal of this essay is to share the project proposal about the use of the action research approach in the degree completion award process for students in thePre-school and Primary Education specialization in a private higher education institution of Lima. This is done within the framework of the implementationprocess for the new curriculum plan initiated in 2013. In that sense, we highlightthe characteristics of this type of research that have been embodied in practice, theprocess followed for its application, as well as achievements, difficulties and theaspects that we still need to work out. Lastly, some thoughts are proposed to consolidate this type of research in the academic and organizational structure of thisinstitution, which could prove useful for higher education institutions interestedin the implementation of this research approach. / El presente ensayo busca socializar la propuesta de trabajo en torno al desarrollode la investigación-acción en el proceso de titulación de las carreras de EducaciónInicial y Primaria de una institución de educación superior privada de Lima, en elmarco del proceso de implementación del nuevo plan curricular iniciado el 2013.En ese sentido, se resaltan las características de este tipo de investigación que sehan encarnado en la práctica, el proceso que se ha asumido para su aplicación, asícomo los logros, las dificultades y los aspectos sobre los cuales se requiere continuar trabajando. Finalmente se proponen algunas reflexiones para la consolidación de este tipo de investigación en la estructura académica y organizativa de dicha institución, que pueden resultar útiles para aquellas instituciones de educación superior interesadas en aplicar este enfoque de investigación. / O presente ensaio tem como objetivo socializar a proposta de trabalho ao redor do desenvolvimento da Investigação- Ação no processo de concessão de licenciatura em docência dos educação infantil e anos iniciais do ensino fundamental da instituição de ensino superior privado em Lima, dentro do contexto do processo de implementação do novo plano curricular iniciado em 2013. Nesse sentido se ressaltam as características deste tipo de investigação que foram adotadas na prática, o processo que se assumiu para sua aplicação, assim como os resultados, as dificuldades e os aspectos sobre os quais se requer continuar trabalhando. Finalmente, se propõe algumas reflexões para a consolidação deste tipo de investigação na estrutura acadêmica e de organização da instituição, que podem resultar úteis para aquelas instituições de educação superior interessadas em aplicar este enfoque de investigação.

The widespread use of Dynamic Geometry Software (DGS) is raising many interesting questions and discussions as to the necessity, usefulness and meaning of proof in school mathematics. With these questions in mind, a didactical sequence on the topic “Conics” was developed in a teacher education course tailored for pre-service secondary math methods course. The idea of the didactical sequence is to introduce “Conics” using a concrete manipulative approach (paper folding) then an explorative DGS-based construction activity embedding the need for a proof. For that purpose, the DGS software serves as an intermediary tool, used to bridge the gap between the physical model and the formal symbolic system of proof. The paper will present an analysis of participants’ geometric thinking strategies, featuring proof as an embedded process in geometric construction situations.

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