The purpose of this study is to examine prospective mathematics teachers' knowledge development and beliefs changes for teaching fraction division through the undergraduate mathematics method course to the field practice. Further, it reveals the correlation between the knowledge development and beliefs changes. Therefore, this study uses a qualitative methodology. I analyze the data from two time periods using three steps. In the method course period, interviews concerning knowledge and beliefs are triangulated with the tests, surveys, concept mapping and the writing assignment. There are two steps in this time period. First, I focus on a total of 27 prospective teachers' subject matter knowledge (SMK), including common content knowledge (CCK) and special content knowledge (SCK), and its development. Further, I examine their beliefs changes towards fraction division and mathematics teaching and learning during the method course. Next, I choose six participants from the total 27, based on different mathematics achievement. I do this to identify 1) whether CCK differences impact SCK development and 2) whether SCK development influence beliefs changes in the method course. In the field practice period, classroom observation of fraction division is triangulated with the interviews. I follow up one prospective teacher in his field practice and focus on the way his beliefs influence his teaching behavior and the development of the pedagogical content knowledge (PCK), through the teaching. The results indicate that the prospective teachers developed both CCK and SCK in their method course. Their beliefs towards to teaching and learning fraction division progress from procedural-oriented to conceptual-oriented. The knowledge development and beliefs changes derived from the different learning experiences from their past school experiences and method course. Moreover, prospective teachers who had high CCK developed his/her SCK significantly. Thus, his/her beliefs changes became more significant. Further, the prospective teacher's beliefs changes in the method course influenced the way of teaching behavior in the field practice and SCK impacts PCK in teaching. On the other hand, field practice changed prospective teacher's beliefs and the development of PCK. Therefore, further attention is called for in the prospective teachers' knowledge transition and beliefs changes from a student to a future teacher.

The purpose of this study was to investigate prospective teachers' conceptions of science instruction prior to the commencement of their early childhood education methods courses. A sample of 100 prospective teachers' drawings and narratives were analyzed using the STLP3 instrument and inductive analysis respectively. Merging findings from the aforementioned analyses resulted in 10 distinct conceptions and these included: (a) science instruction (1) as a demonstration, (2) as engagement, (3) as doing experiments, (4) as inquiry, and (5) as observation all underscored by active learning and social, implementation and cognitive dimensions; (b) science instruction (6) as implementing safety, and (7) as an interaction both underscored by active learning and a social dimension; and (c) science instruction (8) as a demonstration, and (9) as engagement both underscored by passive learning and an affective dimension; and (d) science instruction (10) as enjoyment underscored by social and affective dimensions. These findings reflected the complexity and multidimensionality of the prospective teachers' conceptions of science instruction. Implications include the need for teacher educators to situate their prospective teachers' prior and new knowledge of early childhood science instruction within theoretical frames rather than simply relying on prospective teachers' knowledge of science instruction from K-12 experiences. Implications for future research include the need to study prospective teachers' conceptions prior to and at the end of early childhood methods courses.

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Many prospective teachers make assumptions about their students before they actually begin teaching. Many of these assumptions can be rooted specifically in students’ races, cultures, classes, religions, genders, and sexual orientations. In order for prospective mathematics teachers to challenge these biases, some mathematics teacher educators have provided tasks to support these prospective teachers in becoming aware of their own biases. I chose to analyze a group of five prospective mathematics teachers discussing topics of teaching for social justice to examine more closely the kinds of biases they carry, and more specifically, how those biases came about in their conversations. My analysis also involved looking specifically at whether or not these prospective mathematics teachers were challenging their own as well as others’ biases that came out during the discussions. The results of this study display the ways in which these biases were illuminated during the group discussions as well as the lack of prospective teachers challenging the biases that came out.

A classroom teaching experiment was conducted to document prospective teachers' development of whole number concepts and operations. The purpose of this mixed-methods study was to examine the collective understanding of prospective teachers in an elementary mathematics content course. Design research methodology, specifically a classroom teaching experiment was the methodology selected for this study since it allows learning to be documented in a classroom environment and is iterative in nature. A revised hypothetical learning trajectory and instructional tasks from a previous classroom teaching experiment were used in this study (Andreasen, 2006). Research about children's development of whole number concepts and operations was used in developing instructional learning goals. In addition, research regarding prospective teachers' development supported the instructional modification that all tasks would be presented and expected to be reasoned about in base-8. Both qualitative data and quantitative data were collected. Qualitative data included whole class dialogue that was videotaped and transcribed, as well as student work samples. Quantitative data included items from the Content Knowledge for Teaching Mathematics database that were administered prior to and subsequent to the instructional sequence in base-8 (Hill, Schilling, & Ball, 2005). It should be noted that the items selected from the database were in base-10. The emergent perspective served as the interpretive framework of the collected qualitative data. This perspective reflexively coordinates the social or group perspective simultaneously with psychological or individual perspective. As stated, this study sought to describe the communal mathematics understanding of prospective teachers in an elementary mathematics content course. Toulmin's (1969) model of argumentation and Rasmussen and Stephan's three-phase methodology served to document normative ways of group reasoning called classroom mathematical practices. The following classroom mathematical practices were identified as taken-as-shared by prospective teachers: (a) developing small number relationships using Double 10-Frames, (b) developing two-digit thinking strategies using the open number line, (c) flexibly representing equivalent quantities using pictures or Inventory Forms, and (d) developing addition and subtraction strategies using pictures or an Inventory Form. Quantitative results indicated that prospective teachers were able to apply mathematical understandings grounded in base-8 to whole number concepts in base-10. In the end, counting and calculating in base-8 provides a meaningful context for prospective teachers to reconstruct their knowledge of whole number concepts and operations.

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No description available.

Previous studies on nonnative English speaker teachers (NNESTs) (Reyes & Medgyes, 1994; Samimy & Brutt-Griffler, 1999; Llurda, 2008; Rajagopalan, 2005) and publications in World Englishes (WEs), English as a Lingua Franca (ELF) and English as an international language (EIL), have analyzed and documented how prevailing ideologies rooted in "the myth of the native speaker" (Pennycook, 1994; Canagarajah, 1999; Kramsch, 2000), "the native speaker fallacy" (Phillipson, 1992) and associated ideologies generate discrimination and affect students and teachers' sense of self-worth. By making use of telecollaboration to determine how L1 Spanish speaking Colombian EFL pre-service teachers' interactions with U.S. heritage Spanish speakers (HSSs) influence the Colombian future teachers' self-perceptions as (non) native speakers and future teachers, this study responds to scholars' concerns to diversify the scope of explorations on NNESTs (Samimy & Kurihara, 2008; Llurda, 2008). Examining the ideological side of the native vs. non-native speaker dichotomy in telecollaboration, this research seeks to reverse the tendency to study interactants' exchanges mainly as a language feedback process through which "native speakers" support those who are not native speakers. Under an overarching qualitative phenomenological case study research design, the first article's pre-assessment of participants' self-perceptions of (non) nativeness found that the myth of the native speaker, the native speaker fallacy and associated ideologies permeated participants' self-images as language speakers and prospective teachers. Nevertheless, their ongoing education and the perceived benefits of becoming skillful language users contrasted with the harmful effects of these ideologies. Based on findings in the first article, the second study determined that in adopting meaning making abilities as their center of interest in telecollaboration, most participants focused less on the achievement of idealized native speaker abilities. Their interaction with U.S. peers generated confidence in their use of English, self-criticism of their skills in Spanish and a tendency to embrace the idea that they could succeed as English teachers. The intercultural and sociocultural nature of telecollaboration as a potential resource to leverage Colombian prospective teachers' self-perceptions constitutes the core of the last manuscript. Cooperative relationships with U.S. peers provided participants affective and knowledge-based resources to build more favorable views of themselves, attitudes to confront the detrimental effects of nativespeakership ideologies, and informed judgments to dismantle them. The pedagogical implications section discusses the need to revise the current EFL perspective providing the framework for English language teaching and learning in Colombia, avenues for strengthening students' ideological literacy through telecollaborative tasks and the potential integration of telecollaboration in the language teacher education curriculum as a means to increase participants' linguistic, intercultural and pedagogical abilities, and to cultivate more favorable self-images.

Compared to other subjects, Learning Area Technology teaching is a relatively new knowledge area world-wide, especially in the South African school curriculum, and it consequently presents new challenges. One of these challenges is the fact that no previous tertiary training programmes exist for the Learning Area Technology; thus new ones have to be developed. Since limited research has been done regarding Learning Area Technology teaching, teachers of Technology are forced to base their professional teaching and learning practices on approaches from other fields of knowledge and adapt these. This is not necessarily ideal for Learning Area Technology teaching in the South African context. The following question can thus be posed: To which extent do existing pre-service training programmes develop the essential competences and skills required for the effective teaching of the Learning Area Technology? Against the background of this overarching aim of the study, this research attempted to find answers to the following research questions: • What are the competences a qualified Learning Area Technology teacher should possess? • What is the nature of Learning Area Technology teacher training in South Africa? • What is lacking in training programmes for pre-service Learning Area Technology teachers in South Africa? To provide answers to these questions, a literature study as well as an empirical study was conducted. To achieve the aim of the empirical study a phenomenological approach was applied in executing an exploratory qualitative study. A random sample was drawn from available tertiary institutions training pre-service Technology teachers in the Learning Area Technology. Individual, semi-structured interviews were conducted with lecturers to enable the researcher to comprehend and interpret experiences and realities in terms of the research question. Findings from the literature study on the competences a qualified technology Teacher should possess indicate that a Technology teacher, upon completion of studies, should posses the following competences to present the Learning Area Technology as a subject specialist: indepth subject knowledge of the various knowledge areas for the Learning Area Technology; suitable pedagogical content knowledge to be able to transform technological knowledge to teachable matter; technological skills in technological processes and techniques; and positive values and attitudes which can be integrated successfully during various learning opportunities. It is also imperative that pre-service Learning Area Technology teachers possess knowledge of appropriate teaching strategies to accomplish critical, creative and problem-solving skills among learners. The empirical research was aimed at establishing the nature of pre-service training programmes in South Africa, as well as identifying shortcomings in the training of pre-service Technology teachers. Data analyses regarding the nature of pre-service training of Learning Area Technology teachers-.enabled the researcher to identify particular shortcomings in preservice training programmes in South Africa. The following shortcomings were identified: insufficient subject knowledge and technological subject skills; limited subject specific pedagogical knowledge; lack of real life situations in learning opportunities; and a lack of modelling of teaching strategies during facilitation of the Learning Area Technology. Based on the findings of the research which was also related to the literature, specific recommendations were made in order to improve the quality of pre-service training for the Learning Area Technology. Recommendations on the identified shortcomings include the following: the training of Learning Area Technology teachers as subject specialists by establishing standards appropriate for tertiary training in order to enhance the development of subject knowledge; the development of subject specific pedagogical content knowledge by implementing micro lessons; revision of time planning and facilities for the practising of technological skills; and sufficient opportunities to practise, analyse and reflect on teaching processes to develop proper and appropriate teaching strategies. / Thesis (M.Ed.)--North-West University, Potchefstroom Campus, 2010

Compared to other subjects, Learning Area Technology teaching is a relatively new knowledge area world-wide, especially in the South African school curriculum, and it consequently presents new challenges. One of these challenges is the fact that no previous tertiary training programmes exist for the Learning Area Technology; thus new ones have to be developed. Since limited research has been done regarding Learning Area Technology teaching, teachers of Technology are forced to base their professional teaching and learning practices on approaches from other fields of knowledge and adapt these. This is not necessarily ideal for Learning Area Technology teaching in the South African context. The following question can thus be posed: To which extent do existing pre-service training programmes develop the essential competences and skills required for the effective teaching of the Learning Area Technology? Against the background of this overarching aim of the study, this research attempted to find answers to the following research questions: • What are the competences a qualified Learning Area Technology teacher should possess? • What is the nature of Learning Area Technology teacher training in South Africa? • What is lacking in training programmes for pre-service Learning Area Technology teachers in South Africa? To provide answers to these questions, a literature study as well as an empirical study was conducted. To achieve the aim of the empirical study a phenomenological approach was applied in executing an exploratory qualitative study. A random sample was drawn from available tertiary institutions training pre-service Technology teachers in the Learning Area Technology. Individual, semi-structured interviews were conducted with lecturers to enable the researcher to comprehend and interpret experiences and realities in terms of the research question. Findings from the literature study on the competences a qualified technology Teacher should possess indicate that a Technology teacher, upon completion of studies, should posses the following competences to present the Learning Area Technology as a subject specialist: indepth subject knowledge of the various knowledge areas for the Learning Area Technology; suitable pedagogical content knowledge to be able to transform technological knowledge to teachable matter; technological skills in technological processes and techniques; and positive values and attitudes which can be integrated successfully during various learning opportunities. It is also imperative that pre-service Learning Area Technology teachers possess knowledge of appropriate teaching strategies to accomplish critical, creative and problem-solving skills among learners. The empirical research was aimed at establishing the nature of pre-service training programmes in South Africa, as well as identifying shortcomings in the training of pre-service Technology teachers. Data analyses regarding the nature of pre-service training of Learning Area Technology teachers-.enabled the researcher to identify particular shortcomings in preservice training programmes in South Africa. The following shortcomings were identified: insufficient subject knowledge and technological subject skills; limited subject specific pedagogical knowledge; lack of real life situations in learning opportunities; and a lack of modelling of teaching strategies during facilitation of the Learning Area Technology. Based on the findings of the research which was also related to the literature, specific recommendations were made in order to improve the quality of pre-service training for the Learning Area Technology. Recommendations on the identified shortcomings include the following: the training of Learning Area Technology teachers as subject specialists by establishing standards appropriate for tertiary training in order to enhance the development of subject knowledge; the development of subject specific pedagogical content knowledge by implementing micro lessons; revision of time planning and facilities for the practising of technological skills; and sufficient opportunities to practise, analyse and reflect on teaching processes to develop proper and appropriate teaching strategies. / Thesis (M.Ed.)--North-West University, Potchefstroom Campus, 2010