Foundation Numeracy In Context
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Foundation Numeracy In Context
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Author : David Tout
language : en
Publisher: Aust Council for Ed Research
Release Date : 2006
Foundation Numeracy In Context written by David Tout and has been published by Aust Council for Ed Research this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.
Foundation Numeracy in Context describes an approach to teaching mathematics based on applied and contextual learning principles. This means that the teaching and learning of mathematics proceeds from a contextual, task-based and investigative point of viewâwhere the mathematics involved is developed from a modelled situation or practical task. Practical investigations and projects are principle vehicles for student learning in such an approach. This text is written for teachers working with students who have become disengaged from learning mathematics during the middle to latter years of secondary schooling, and will likely have had limited success with mathematics. The approach used will be helpful for teachers of students who need a practical rather than formal mathematical background for their everyday life skills and further education, training or career aspirations. The text illustrates how this approach works through some sample contexts such as cars and driving, sport, cooking and catering, and draws together mathematics from the areas of number, measurement, space, data and statistics, and algebra. [Publisher].
Numeracy In Authentic Contexts
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Author : Maura Sellars
language : en
Publisher: Springer
Release Date : 2017-10-25
Numeracy In Authentic Contexts written by Maura Sellars and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-25 with Education categories.
This book is based on the notion that there are many ways in which mathematics learning can be achieved for students and that not all of them are focused on the mathematics classroom. It explores the foundational numeracy principles of the non-mathematical subject areas and aligns these to the Australian numeracy-learning continuum. It demonstrates, in detail, the extent to which numeracy competencies underpin successful learning in all the subject areas of the curricula. It validates a focus of developing numeracy competencies through learning in the arts, science and other discipline areas with which school students to engage with in order develop holistically, but which are not subjected to national assessment practices. It is developed around the notion of ‘praxis’, putting theory into practice in order to respond to the urgent need for students to be supported in their efforts to increase their numeracy capabilities in a world where extensive amounts of new information are often presented in graphical or data based formats. Additionally, it offers perspectives on developing all students’ capacities to become numerate in school contexts and presents inclusive, differentiated lesson examples as an alternative way of exploring numeracy in the context of teaching and learning in real-world classroom contexts.
The Foundations Of Mathematics
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Author : Ian Stewart
language : en
Publisher: OUP Oxford
Release Date : 2015-03-12
The Foundations Of Mathematics written by Ian Stewart and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-12 with Mathematics categories.
The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.
Early Childhood Education
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Author : Moncrieff Cochran
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2007-01-30
Early Childhood Education written by Moncrieff Cochran and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-30 with Education categories.
Early childhood education has reached a level of unprecedented national and international focus. Parents, policy makers, and politicians have opinions as well as new questions about what, how, when, and where young children should learn. Teachers and program administrators now find curriculum discussions linked to dramatic new understandings about children's early learning and brain development. Early childhood education is also a major topic of concern internationally, as social policy analysts point to its role in a nation's future economic outlook. As a groundbreaking contribution to its field, this four-volume handbook discusses key historical and contemporary issues, research, theoretical perspectives, national policies, and practices.
Learning To Teach In The Primary School
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Author : Peter Hudson
language : en
Publisher: Cambridge University Press
Release Date : 2013-05-27
Learning To Teach In The Primary School written by Peter Hudson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Education categories.
Education is in a constant state of change and development. Learning to Teach in the Primary School provides a pathway into Australian education for preservice primary teachers. This practical and engaging text includes strong links to the Australian Curriculum and frames teaching around understanding primary students, how they learn, and their contexts. The book includes numerous valuable teaching resources such as: • applied learning boxes, discussion questions, and research topics • specific information related to the teaching of literacy, mathematics and science • practical guidance across a range of key learning areas, exploring the breadth and depth of teaching and learning opportunities for primary students. Drawing on the wide-ranging expertise of each contributor, this text provides techniques to engage primary students in high-quality education. The concluding chapters of the book focus on professional growth, making this a valuable resource throughout preservice teachers' tertiary coursework and into their professional careers.
Teaching Mathematics 3 5
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Author : Sue Gifford
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2005-08-16
Teaching Mathematics 3 5 written by Sue Gifford and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-16 with Education categories.
"With freshness, humour and originality, Sue Gifford demonstrates the interactive strategies that are required to teach mathematics to young children. The text is both refreshingly free from conventional wisdom and solidly grounded in recent research on learning and teaching early mathematics.At the same time, it is unfailing in its accuracy in uncovering children's own humour and instinct for subverting 'teacherly' overtures. Given the demonstrated lack of spontaneous mathematics in early childhood setting, this assembled collage of children's own observations, activities and comments is in itself a work of art." Professor Carol Aubrey, Institute of Education, University of Warwick, UK. What are the most important aspects of mathematics for young children to learn? How do children learn mathematics? How can adults best ‘teach’ mathematics to children so young? The book informs practitioners, students and parents about how three– to five-year-olds learn mathematics, and shows them how best to develop enjoyable mathematical learning in early years settings. The book includes a summary of relevant research and considers issues relating to current practice. This book: Establishes principles for teaching mathematics to young children Takes into account the way children learn, including social, emotional, physical and cognitive aspects Helps practitioners find the middle ground between not initiating enough mathematical activity and being too directive Suggests principles and frameworks for planning and assessment. The book places particular emphasis on adult-initiated, number-focused activities and playful, challenging and sensitive teaching strategies to engage younger children. The strategies are based on research and work with practitioners, and are illustrated by children’s own responses, such as making number jokes. It covers key areas of mathematics, including number, shape and space, measures and problem solving, with appropriate expectations and common difficulties as well as suggested activities. Essential reading for those teaching or preparing to teach mathematics to young children, as well as parents interested in the mathematical education of their children.
Functional Equations
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Author : David Leigh-Lancaster
language : en
Publisher: Aust Council for Ed Research
Release Date : 2006
Functional Equations written by David Leigh-Lancaster and has been published by Aust Council for Ed Research this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.
Functional equations provides mathematics teachers with an introduction to elementary aspects of functional equations. These equations are linked to function in various topics of the senior secondary mathematics curriculum including transformations, identities difference equations and mathematical modelling.
Foundations For The Future In Mathematics Education
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Author : Richard A. Lesh
language : en
Publisher: Routledge
Release Date : 2020-10-07
Foundations For The Future In Mathematics Education written by Richard A. Lesh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-07 with Education categories.
The central question addressed in Foundations for the Future in Mathematics Education is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abilities that are emphasized in mathematics classrooms and tests, and those that are needed for success beyond school in the 21st century? This is an urgent question. In fields ranging from aeronautical engineering to agriculture, and from biotechnologies to business administration, outside advisors to future-oriented university programs increasingly emphasize the fact that, beyond school, the nature of problem-solving activities has changed dramatically during the past twenty years, as powerful tools for computation, conceptualization, and communication have led to fundamental changes in the levels and types of mathematical understandings and abilities that are needed for success in such fields. For K-12 students and teachers, questions about the changing nature of mathematics (and mathematical thinking beyond school) might be rephrased to ask: If the goal is to create a mathematics curriculum that will be adequate to prepare students for informed citizenship—as well as preparing them for career opportunities in learning organizations, in knowledge economies, in an age of increasing globalization—how should traditional conceptions of the 3Rs be extended or reconceived? Overall, this book suggests that it is not enough to simply make incremental changes in the existing curriculum whose traditions developed out of the needs of industrial societies. The authors, beyond simply stating conclusions from their research, use results from it to describe promising directions for a research agenda related to this question. The volume is organized in three sections: *Part I focuses on naturalistic observations aimed at clarifying what kind of “mathematical thinking” people really do when they are engaged in “real life” problem solving or decision making situations beyond school. *Part II shifts attention toward changes that have occurred in kinds of elementary-but-powerful mathematical concepts, topics, and tools that have evolved recently—and that could replace past notions of “basics” by providing new foundations for the future. This section also initiates discussions about what it means to “understand” the preceding ideas and abilities. *Part III extends these discussions about meaning and understanding—and emphasizes teaching experiments aimed at investigating how instructional activities can be designed to facilitate the development of the preceding ideas and abilities. Foundations for the Future in Mathematics Education is an essential reference for researchers, curriculum developers, assessment experts, and teacher educators across the fields of mathematics and science education.
Numeracy In Focus
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Author :
language : en
Publisher:
Release Date : 1995
Numeracy In Focus written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Adult education categories.
Mathematics And Transition To School
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Author : Bob Perry
language : en
Publisher: Springer
Release Date : 2015-01-09
Mathematics And Transition To School written by Bob Perry and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-09 with Education categories.
This edited book brings together for the first time an international collection of work focused on two important aspects of any young child’s life – learning mathematics and starting primary or elementary school. The chapters take a variety of perspectives, and integrate these two components in sometimes explicit and sometimes more subtle ways. The key issues and themes explored in this book are: the mathematical and other strengths that all participants in the transition to school bring to this period of a child’s life; the opportunities provided by transition to school for young children’s mathematics learning; the importance of partnerships among adults, and among adults and children, for effective school transitions and mathematics learning and teaching; the critical impact of expectations on their mathematics learning as children start school; the importance of providing children with meaningful, challenging and relevant mathematical experiences throughout transition to school; the entitlement of children and educators to experience assessment and instructional pedagogies that match the strengths of the learners and the teachers; the importance for the aspirations of children, families, communities, educators and educational organisations to be recognised as legitimate and key determinants of actions, experiences and successes in both transition to school and mathematics learning; and the belief that young children are powerful mathematics learners who can demonstrate this power as they start school. In each chapter, authors reflect on their work in the area of mathematics and transition to school, place that work within the overall context of research in these fields, predict the trajectory of this work in the future, and consider the implications of the work both theoretically and practically.