880 resultados para mathematical content knowledge


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Efforts to improve mathematics and science content knowledge have in many institutions required redefining teacher education through new teaching and learning. See, for example, Peard & Pumadevi (2007) for an account of one such attempt involving the development of a Foundations Unit, Scientific and Quantitative Literacy. This unit is core for all first year pre-service primary teacher education students at Queensland University of Technology (QUT) and two Education Institutes in Malaysia, Institute Perguruan Raja Melewar (IPRM), and Institute Perguruan Teknik (IPT) Kuala Lumpur. Since then, QUT has modified the unit to adopt a thematic approach to the same content. An aim of the unit rewrite was the development of a positive attitude and disposition to the teaching and learning of mathematics and science, with a curiosity and willingness to speculate about and explore the world. Numeracy was specifically identified within the mathematics encountered and appropriately embedded in the science learning area. The importance of the ability to engage in communication of and about mathematics and science was considered crucial to the development of pre-service primary teachers. Cognisance was given to the appropriate selection and use of technology to enhance learning - digital technologies were embedded in the teaching, learning and assessment of the unit to avoid being considered as an optional extra. This was achieved around the theme of “the sustainable school”. This ‘sustainability’ theme was selected due to its prominence in Australia’s futures-oriented National Curriculum which will be implemented in 2011. This paper outlines the approach taken to the implementation of the unit and discusses early indicators of its effectiveness.

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The researcher’s professional role as an Education Officer was the impetus for this study. Designing and implementing professional development activities is a significant component of the researcher’s position description and as a result of reflection and feedback from participants and colleagues, the creation of a more effective model of professional development became the focus for this study. Few studies have examined all three links between the purposes of professional development that is, increasing teacher knowledge, improving teacher practice, and improving student outcomes. This study is significant in that it investigates the nature of the growth of teachers who participated in a model of professional development which was based upon the principles of Lesson Study. The research provides qualitative and empirical data to establish some links between teacher knowledge, teacher practice, and student learning outcomes. Teacher knowledge in this study refers to mathematics content knowledge as well as pedagogical-content knowledge. The outcomes for students include achievement outcomes, attitudinal outcomes, and behavioural outcomes. As the study was conducted at one school-site, existence proof research was the focus of the methodology and data collection. Developing over the 2007 school year, with five teacher-participants and approximately 160 students from Year Levels 6 to 9, the Lesson Study-principled model of professional development provided the teacher-participants with on-site, on-going, and reflective learning based on their classroom environment. The focus area for the professional development was strategising the engagement with and solution of worded mathematics problems. A design experiment was used to develop the professional development as an intervention of prevailing teacher practice for which data were collected prior to and after the period of intervention. A model of teacher change was developed as an underpinning framework for the development of the study, and was useful in making decisions about data collection and analyses. Data sources consisted of questionnaires, pre-tests and post-tests, interviews, and researcher observations and field notes. The data clearly showed that: content knowledge and pedagogical-content knowledge were increased among the teacher-participants; teacher practice changed in a positive manner; and that a majority of students demonstrated improved learning outcomes. The positive changes to teacher practice are described in this study as the demonstrated use of mixed pedagogical practices rather than a polarisation to either traditional pedagogical practices or contemporary pedagogical practices. The improvement in student learning outcomes was most significant as improved achievement outcomes as indicated by the comparison of pre-test and post-test scores. The effectiveness of the Lesson Study-principled model of professional development used in this study was evaluated using Guskey’s (2005) Five Levels of Professional Development Evaluation.

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The critical problem of student disengagement and underachievement in the middle years of schooling (Years 4 . 9) has focussed attention on the quality of educational programs in schools, in Australia and elsewhere. The loss of enthusiasm for science in the middle years is particularly problematic given the growing demand for science professionals. Reshaping middle years programs has included an emphasis on integrating Information and Communication Technologies (ICTs) and improving assessment practices to engage students in higher cognitive processes and enhance academic rigour. Understanding the nature of academic rigour and how to embed it in students. science assessment tasks that incorporate the use of ICTs could enable teachers to optimise the quality of the learning environment. However, academic rigour is not clearly described or defined in the literature and there is little empirical evidence upon which researchers and teachers could draw to enhance understandings. This study used a collective case study design to explore teachers' understandings of academic rigour within science assessment tasks. The research design is based on a conceptual framework that is underpinned by socio-cultural theory. Three methods were used to collect data from six middle years teachers and their students. These methods were a survey, focus group discussion with teachers and a group of students and individual semi-structured interviews with teachers. Findings of the case study revealed six criteria of academic rigour, namely, higher order thinking, alignment, building on prior knowledge, scaffolding, knowledge construction and creativity. Results showed that the middle years teachers held rich understandings of academic rigour that led to effective utilisation of ICTs in science assessment tasks. Findings also indicated that teachers could further enhance their understandings of academic rigour in some aspects of each of the criteria. In particular, this study found that academic rigour could have been further optimised by: promoting more thoughtful discourse and interaction to foster higher order thinking; increasing alignment between curriculum, pedagogy, and assessment, and students. prior knowledge; placing greater emphasis on identifying, activating and building on prior knowledge; better differentiating the level of scaffolding provided and applying it more judiciously; fostering creativity throughout tasks; enhancing teachers‟ content knowledge and pedagogical content knowledge, and providing more in-depth coverage of fewer topics to support knowledge construction. Key contributions of this study are a definition and a model which clarify the nature of academic rigour.

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This paper presents the findings of a small pilot study conducted with a group of final year pre-service teachers studying a secondary social science curriculum method unit in an Australian university. One of the study’s research objectives aimed at identifying how students responded to efforts to embed intercultural understanding through Studies of Asia in their final curriculum method unit. The unit was designed and taught by the researcher on the assumption that beginning social science teachers need to be empowered with pedagogical skills and new dispositions to deal with value laden emerging regional and global concerns in their Australian secondary school classrooms. This pilot study’s research methodology was located within the qualitative framework of a participatory action research model whereby the lecturer who designed, coordinated and taught the unit was also the researcher. Its scope was limited to one semester with volunteer students. The pilot study sought to investigate responses to several issues, and this paper reports on pre-service teacher reflections on the content, pedagogy and learning they experienced in their weekly sessions with specific reference to cultural understanding, Studies of Asia and the development of Asia literacy. It also reports on pre-service teacher reflections about their own evolving capacity as beginning teachers. The findings indicate that pre-service teachers valued the opportunity to engage with learning experiences which enhanced their conceptual understandings about culture whilst also extending their pedagogical and content knowledge.

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Malaysia’s Vision 2020 for enhancing its education system includes the development of scientific literacy commencing at the primary school level. This Vision focuses on using English as the Medium of Instruction (EMI) for teaching primary science, as Malaysia has English as a Foreign Language (EFL) in its curriculum. What changes need to occur in preservice teacher education programs for learning about primary science using EMI? This paper investigates the education of Malaysian preservice teachers for learning how to teach one strand in science education (i.e., space, primary astronomy) in an English-language context. Ninety-six second-year preservice teachers from two Malaysian institutes were involved in a 16-week “Earth and Space” course, half the course involved education about primary astronomy. Seventy-five of these preservice teachers provided written responses about the course and their development as potential teachers of primary astronomy using EMI. Preservice teacher assessments and multimedia presentations provided further evidence on learning how to teach primary astronomy. Many of these preservice teachers claimed that learning to teach primary astronomy needs to focus on teaching strategies, content knowledge with easy-to-understand concepts, computer simulations (e.g., Earth Centered Universe, Stellarium, Celestia), other ICT media, and field experiences that use naked-eye observations and telescopes to investigate celestial bodies. Although generally proficient in using ICT, they claimed there were EFL barriers for learning some new terminology. Nevertheless, powerpoints, animations, videos, and simulations were identified as effective ICT tools for providing clear visual representations of abstract concepts and ways to enhance the learning process.

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Reviews into teacher education emphasise the need for preservice teachers to have more school-based experiences. In this study, a school-based experience was organised within a nine-week science curriculum university unit that allowed preservice teachers’ repeated experiences in teaching primary science. This research uses a survey, questionnaire with extended written responses, and researcher observations to investigate preservice teachers’ (n=38) learning experiences in two school settings. Survey results indicated that the majority of these preservice teachers either agreed or strongly agreed that school-based experiences developed their: personal-professional skill development (100%); system requirements (range: 81-100%); teaching practices (81-100%); student behaviour management (range: 94-100%); providing student feedback (89-94%); and reflection on practice (92-100%). Qualitative data provided insights into their development particularly for science content knowledge and receiving positive reinforcement on effective teaching behaviours. According to these preservice teachers, the school-based experiences facilitated “teachable moments – having the knowledge or skills to run with students’ questions or ideas” and allowed preservice teachers to “critically reflect between groups to make the task flow better”. Embedding school-based experiences needs to be part of each and every preservice teacher education unit so preservice teachers can develop confidence, knowledge and skills within authentic school contexts.

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In a world of constant and rapid change there are greater demands placed on learners to not only gain content knowledge, but also to develop learning skills and to adopt new strategies that will enable them to produce better and faster learning outcomes. Especially in internationally advancing nations like Kuwait this will be a major challenge of the future. This literature review examines theoretical frameworks that enhance Kuwaiti teachers’ knowledge and skill to adopt culturally relevant reform practices across a number of disciplines and provide guidance in an exploration and use of newer pedagogical tools like graphic organisers. It analyses the effects of graphic organisers on higher order learning and evaluates how they can effect professional development and pedagogical change in Kuwait.

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Across the professions, there is strong interest in the transition between graduation and early stages of professional practice. Our initial literature search revealed that this period of transition is significant to professions that include nursing, vets, midwives, financial planners, lawyers, occupational therapists, doctors as well as our particular area of interest - teachers. This importance is easy to understand for in these applied fields new graduates need to be competent in applying and synthesizing their theoretical content knowledge on a daily basis, often with limited supervision and mentoring (Goetz, Tombs & Hampton, 2005). As such, this transition period is of critical importance to the individual and their feelings of competence and early profession learning. An added layer for graduates in these professions during this transition/probation period is that they are also expected to have well-developed 'soft skills' such as communication, problem solving, and teamwork (Oblinger & Verville, 1998; Rao & Sylvester, 2000) in order to be effective in their roles.

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Adolescents are both aware of and have the impetuous to exploit aspects of Science, Technology, Engineering and Mathematics (STEM) within their personal lives. Whether they are surfing, cycling, skateboarding or shopping, STEM concepts impact their lives. However science, mathematics, engineering and technology are still treated in the classroom as separate fragmented entities in the educational environment where most classroom talk is seemingly incomprehensible to the adolescent senses. The aim of this study was to examine the experiences of young adolescents with the aim of transforming school learning at least of science into meaningful experiences that connected with their lives using a self-study approach. Over a 12-month period, the researcher, an experienced secondary-science teacher, designed, implemented and documented a range of pedagogical practices with his Year-7 secondary science class. Data for this case study included video recordings, journals, interviews and surveys of students. By setting an environment empathetic to adolescent needs and understandings, students were able to actively explore phenomena collaboratively through developmentally appropriate experiences. Providing a more contextually relevant environment fostered meta-cognitive practices, encouraged new learning through open dialogue, multi-modal representations and assessments that contributed to building upon, re-affirming, or challenging both the students' prior learning and the teacher’s pedagogical content knowledge. A significant outcome of this study was the transformative experiences of an insider, the teacher as researcher, whose reflections provided an authentic model for reforming pedagogy in STEM classes.

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17.1 Up until the 1990s the methods used to teach the law had evolved little since the first law schools were established in Australia. As Keyes and Johnstone observed: In the traditional model, most teachers uncritically replicate the learning experiences that they had when students, which usually means that the dominant mode of instruction is reading lecture notes to large classes in which students are largely passive. Traditional legal education has been described in the following terms: Traditionally law is taught through a series of lectures, with little or no student involvement, and a tutorial programme. Sometimes tutorials are referred to as seminars but the terminology used is often insignificant: both terms refer to probably the only form of student participation that takes place throughout these students‘ academic legal education. The tutorial consists of analysing the answers, prepared in advanced (sic), to artificial Janet and John Doe problems or esoteric essay questions. The primary focus of traditional legal education is the transmission of content knowledge, more particularly the teaching of legal rules, especially those drawn from case law. This approach has a long pedigree. Writing in 1883, Dicey proposed that nothing can be taught to students of greater value, either intellectually or for the purposes of legal practice, than the habit of looking on the law as a series of rules‘.

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This is a study of the academic numeracy of nursing students. This study develops a theoretical model for the design and delivery of university courses in academic numeracy. The following objectives are addressed: 1. To investigate nursing students' current knowledge of academic numeracy; 2. To investigate how nursing students’ knowledge and skills in academic numeracy can be enhanced using a developmental psychology framework; and 3. To utilise data derived from meeting objectives 1 and 2 to develop a theoretical model to embed academic numeracy in university programs. This study draws from Valsiner’s Human Development Theory (Valsiner, 1997, 2007). It is a quasi-experimental intervention case study (Faltis, 1997) and takes a multimethod approach using pre- and post-tests; observation notes; and semi-structured teaching sessions to document a series of microgenetic studies of student numeracy. Each microgenetic study is centered on the lived experience of students becoming more numerate. The method for this section is based on Vygotsky’s double stimulation (Valsiner, 2000a; 2007). Data collection includes interviews on students’ past experience with mathematics; their present feelings and experiences and how these present feelings and experiences are transformed. The findings from this study have provided evidence that the course developed for nursing students, underpinned by an appropriate framework, does improve academic numeracy. More specifically, students improved their content knowledge of and confidence in mathematics in areas that were directly related to their degree. The study used Valsiner’s microgenetic approach to development to trace the course as it was being taught and two students’ personal academic numeracy journeys. It highlighted particularly troublesome concepts, then outlined scaffolding and pathways used to develop understanding. This approach to academic numeracy development was summarised into a four-faceted model at the university, program, course and individual level. This model can be applied successfully to similar contexts. Thus the thesis advances both theory and practice in this under-researched and under-theorised area.

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Women are underrepresented in science, technology, engineering and mathematics (STEM) university coursework, reflecting long-standing gender issues that have existed in core middle-school STEM subject areas. Using data from a survey and written responses, we report on findings following the introduction of engineering education in middle school classes across three schools (grade level 7, n=122). The engineering experiences fused science, technology and mathematics concepts. The survey revealed higher percentages for girls than boys in 13 of the 24 items; however there were six items with a 20% difference in their perceptions about learning in STEM. For instance, despite girls recording that they have been provided equal or more opportunities than boys in STEM, they believed they do not do as well as boys (80% boys, 48% girls) or want to seek a career in STEM (39% boys, 17% girls). The written responses revealed gender differences across a number of themes in the students’ responses, including resources, group work, the nature and type of learning experiences, content knowledge, and teachers’ instructional style. Exposing students to STEM education facilitates an awareness of their learning and may assist girls to consider studying STEM subjects or STEM careers.

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The release of the Australian Curriculum English (ACE) by the Australian Curriculum, Assessment and Reporting Authority (ACARA) has revived debates about the role of grammar as English content knowledge. We consider some of the discussion circulating in the mainstream media vis-à-vis the intent of the ACE. We conclude that this curriculum draws upon the complementary tenets of traditional Latin-based grammar and systemic functional linguistics across the three strands of Language, Literature and Literacy in innovative ways. We argue that such an approach is necessary for working with contemporary multimodal and cross-cultural texts. To demonstrate the utility of this new approach, we draw out a set of learning outcomes from Year 6 and then map out a framework for relating the outcomes to the form and function of multimodal language. As a case in point, our analysis is of two online Coca-Cola advertising texts, one each from South Korea and Australia.

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There is international concern about falling enrollments in higher education, particularly the sciences, by gifted students. In this mixed method study, the top performing 200 students (approximately 1%) within a particular education jurisdiction at the beginning of their first year at university were surveyed and 20 interviewed about their school experiences using a biographical interpretive design. This study focussed on identifying those characteristics of teachers which supported students’ interests. Participants identified seven characteristics of teachers that students identified as supportive of their potential career pathways. These included connecting pedagogical practices with student interests, being passionate about their subject matter, having good content knowledge, making learning experiences relevant, setting high expectations of students, being a good explainer of complex ideas, and being a good classroom manager. This study extends our knowledge of how teachers influence gifted students and has implications for both pre-service and in-service teacher education and career counselling.

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Since the 1980s, higher education in Australia has undergone significant change which has led to the belief that universities should cultivate students’ generic skills and attributes. For example, Achieving Quality states that generic skills ‘should represent the central achievements of higher education as a process’ (Higher Education Council, 1992, p 20). The CALD Standards for Australian Law Schools also recognise that tertiary curricula should ‘seek to develop knowledge, understanding, skills, and values’ (Council of Australian Law Deans, 2009, [2.3]. See also AQF Council, 2010, pp 32-5, 40-2; AQF Council, 2011, p 45-50). This more instrumentalist view of education is similarly exhibited by students (Saulwick and Muller, 2006, pp 7, 34). No longer does the modern graduate expect their university degree to equip them solely with the content knowledge of their discipline, but also with the skills and attributes relevant to their career and prospective employment.