159 resultados para Mathematical knowledge for teaching


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Principals duties have expanded beyond instructional leadership. Roles now include being curriculum leader, supervisor, manager, head of finance, administration, compliance, and legal matters, and so on. These additional responsibilities impact their decision-making in relation to teaching, learning and school improvement in general. How, and on what basis, they make these decisions is crucial both to their development as instructional leaders and to educational reform processes. To contribute to knowledge on principals’ decision making skills, we have created a strategic knowledge mobilization initiative called 'Canadian Principals Learning Network (CPLN)'. Through a variety of face-to-face and online activities, it collaboratively links together an international group of practicing principals and university-based researchers with related expertise. This paper describes the initiative and outcomes.

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This paper uses cultural historical activity theory to examine the interactions between the choices primary teachers make in the use of practical activities in their teaching of science and the purposes they attribute to these; their emotions, background and beliefs; and the construction of their identities as teachers of science. It draws on four case studies of science lessons taught over a term by four exemplary teachers of primary science. The data collected includes video recordings of science lessons, interviews with each teacher and some of their students, student work, teachers’ planning documents and observation notes. In this paper, we examine the reflexive relationship between emotion and identity, and the teachers’ objectives for their students’ learning; the purposes (scientific and social) the teachers attributed to practical activities; and the ways in which the teachers incorporated practical activities into their lessons. The findings suggest that it is not enough to address content knowledge, pedagogy and pedagogical content knowledge in teacher education, but that efforts also need to be made to influence prospective primary teachers’ identities as scientific thinkers and their emotional commitment to their students’ learning of science.

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In an effort to engage children in mathematics learning, many primary teachers use mathematical games and activities. Games have been employed for drill and practice, warm-up activities and rewards. The effectiveness of games as a pedagogical tool requires further examination if games are to be employed for the teaching of mathematical concepts. This paper reports research that compared the effectiveness of non-digital games with non-game but engaging activities as pedagogical tools for promoting mathematical learning. In the classrooms that played games, the effects of adding teacher-led whole class discussion was explored. The research was conducted with 10–12-year-old children in eight classrooms in three Australian primary schools, using differing instructional approaches to teach multiplication and division of decimals. A quasi-experimental design with pre-test, post-test and delayed post-test was employed, and the effects of the interventions were measured by the children’s written test performance. Test results indicated lesser gains in learning in game playing situations versus non-game activities and that teacher-led discussions during and following the game playing did not improve children’s learning. The finding that these games did not help children demonstrate a mathematical understanding of concepts under test conditions suggests that educators should carefully consider the application and appropriateness of games before employing them as a vehicle for introducing mathematical concepts.

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 A conference on teaching and learning in tertiary education

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A collaborative constructivist model of e-learning enabled second year undergraduate students and art educators to establish a community of learners within an augmented immersive learning environment. Artistic practice and work based learning was enhanced through the creation of digital artifacts to support shared knowledge building using authentic learning tasks and social networking.

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Previous research has indicated that undergraduate student learning can be enhanced through active involvement in research. Furthermore, creating an academic environment where teaching and research are intimately linked can facilitate the induction of students into a community of learners where new knowledge is created, explored and critiqued. Scaffolding and supporting student learning via engagement in authentic research experiences can work to ensure graduating students have the capacity to generate and investigate important questions that contributes to the development of new knowledge. This paper presents a case study that outlines curriculum design and pedagogical strategies aimed at integrating teaching and research within the first year of an undergraduate course. First year Food and Nutrition students were asked to partake in a research project where they were asked to complete a series of diet and food related questionnaires, analyse, interpret and critique the resulting data. Students were supported through this learning activity via small group tutorial support and question and answer sessions within the learning management system. Anonymous evaluation of the teaching and learning experience was conducted at the end of the teaching period and the results indicate that the students welcomed the opportunity to engage in an authentic, research based learning activity. Students’ found the assessment tasks were clearly explained to them (88% agreeing), and felt well supported in approaching this research based assessment task. Furthermore, the qualitative comments indicated that the students’ found the learning environment to be meaningful and relevant. This case study indicates that it is possible to effectively incorporate authentic research experiences within the curriculum of a first year course. The experiential, inquiry based learning approach used supported the students’ participation in a systematic, rigorous data collection process required in a structured research environment and blended these requirements with authentic learning of discipline specific skills and knowledge.

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 In the Australian National Curriculum, the science understanding of overarching ideas of matter and energy covers science topics in the conceptual area of chemistry, such as the properties, forms and uses of different materials, the states of matter (solid, liquid and gas), and energy, such as forces, movement and electricity. This chapter focusses on explaining the abstract science ideas related to matter and energy through the use of appropriate vocabulary, examining ways of organising knowledge and linking scientific models and theories to observations and experiences. The particle model of matter is used to explain common observations, demonstrating the value of scientific inquiry and the role of models and representations in scientific thinking. A directed inquiry teaching approach in which there is a focus on the use of representations is recommended for these abstract topics. Representations are a vital component of communicating the abstract ideas of matter and energy. The use of the pedagogical approach in which students construct and evaluate representations of scientific ideas is used in the negotiation and development of their understandings.

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A recent international study of pre-service teachers identified that proportional reasoning was problematic for pre-service teachers. Proportional reasoning is an important topic in the middle years of schooling and therefore it is critical that teachers understand this topic and can rely on their Mathematical Content Knowledge (MCK) when teaching. The focus of this paper is second-year Australian primary pre-service teachers’ MCK of real number items related to ratio, rate, proportion and proportional reasoning. This paper reports on strengths and weakness of pre-service teachers’ MCK when responding to test items; including a method suitable for analysing responses to five items and ranked by three levels of difficulty. The results revealed insights into their correct methods of solutions and common incorrect responses, identifying difficulty, where multiplication and division were required. The method of coding test items by difficulty ranking may assist with developing an appropriate learning trajectory, which will assist pre-service teachers develop their MCK of this and other difficult topics.

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Until recently, the limited use of modelling activities in Singapore mathematics classrooms despite the incorporation of mathematical modelling in the curriculum since 2003 could be due to a lack of concerted efforts in teacher preparation. Explicit guidelines have recently been developed by the Ministry of Education (CPDD, 2012) with a view to harness the potentials of modelling activities for fostering 21st Century Competences in students. This paper illustrates how a multi-tiered teaching experiment using design research methodology was conducted to build teachers' capacity in facilitating and designing modelling tasks using a case study involving an experienced teacher in a primary 5 (aged 10-11) mathematics classroom. Implications on the identification of teacher competencies to be focused upon during teacher development in incorporating mathematical modelling in Singapore classrooms will be drawn.

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Sustainability education is becoming an integral part of education for all students.The paper revisits startling results from large scale international studies that show the dissonance between young people’s sustainability knowledge and the resistance of young people to put into practice. The reluctance to enact sustainability knowledge necessitates a review of current teaching practices as these raise important issues about current models of education and how sustainability is captured within education. Education about sustainability seeks to future proof our society through the teaching and learning of actions that ensure our collective long term future. For this reason teaching about sustainability incorporates a focus on social responsibility as well as individual responsibility. 


This paper examines the notion of agency as a critical component in the understanding of how behavior and actions are organized and integrated by students. Agency theory is highly sensitized towards these learner demands as it provides educators with ways to appraise and make judgment upon content as well as guiding learner’s actions. By developing a more refined understanding of agency, and incorporating this into educational practice around sustainability, it may be possible to develop more resonant sustainable actions through education.

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Background:
Cross-cultural care and antidiscrimination are vital to ethical effective health systems. Nurses require quality educational preparation in cross-cultural care and antidiscrimination. Limited evidence-based research is available to guide teachers.

Objectives:
To develop, implement and evaluate an evidence-based teaching and learning approach in cross-cultural care and antidiscrimination for undergraduate nursing students.

Design:
A quantitative design using pre- and post-survey measures was used to evaluate the teaching and learning approach.

Settings:
The Bachelor of Nursing program in an Australian university.

Participants:
Academics and second year undergraduate nursing students.

Methods:
A literature review and consultation with academics informed the development of the teaching and learning approach. Thirty-three students completed a survey at pre-measures and following participation in the teaching and learning approach at post-measures about their confidence to practice cross-cultural nursing (Transcultural Self-efficacy Tool) and about their discriminatory attitudes (Quick Discrimination Index).

Results:
The literature review found that educational approaches that solely focus on culture might not be sufficient in addressing discrimination and racism. During consultation, academics emphasised the importance of situating cross-cultural nursing and antidiscrimination as social determinants of health. Therefore, cross-cultural nursing was contextualised within primary health care and emphasised care for culturally diverse communities. Survey findings supported the effectiveness of this strategy in promoting students' confidence regarding knowledge about cross-cultural nursing. There was no reported change in discriminatory attitudes. The teaching and learning approach was modified to include stronger experiential learning and role playing.

Conclusions:
Nursing education should emphasise cross-cultural nursing and antidiscrimination. The study describes an evaluated teaching and learning approach and demonstrates how evaluation research can be used to develop cross-cultural nursing education interventions.

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This paper reports on the preliminary investigations of an emerging program of research in which the authors are engaged. The program aims to generate new understandings for effective teacher education drawing on data from non-Indigenous pre-service teachers who undertook a teaching placement in remote Indigenous schools in Australia. The overall goals of this research gather around the notion of ‘building belonging’. The initial stage of this project sought to enable pre-service teachers to increase their awareness of the places and institutional practices operating within and between remote Indigenous communities and themselves. The twelve participants were interviewed while on three-week placements around Katherine and in Maningrida in the Northern Territory, Australia, during 2012. The paper elaborates various ways in which the remote placement experience began to challenge, positively disrupt, question and even (re) shape their professional learning and identities. Existing literature reporting on the experiences of largely white, middle class pre-service teachers in unfamiliar cultural contexts draws attention to themes of disruption, and the potential for meaningful and transformative professional learning experiences in such contexts (eg Gannon, 2010; Marble, 2012; Phillips, 2011; Ryan & Healy, 2009). Drawing on some of these insights from the literature, our preliminary reading of the data reveal the variety of ways and differing extents to which participants experienced disruptive, or potentially transformative professional learning moments during the placement. We conclude the paper by pointing towards some key areas for further investigation, in order to progress our research program around building belonging between pre-service teachers and remote Indigenous communities.