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Author: Douglas Paling
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 330
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Book Description
Author: Douglas Paling
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 330
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Book Description
Author: Terezinha Nunes
Publisher: Springer
ISBN: 3319451138
Category : Education
Languages : en
Pages : 58
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Book Description
This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished – the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible to compare different approaches to making numbers meaningful in the classroom and contrast the outcomes of these diverse aspects of teaching. The book identifies themes and trends in empirical research on the teaching and learning of whole numbers since the launch of the major journals in mathematics education research in the 1970s. It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation. The analysis of studies on quantitative reasoning reveals classifications of problem types that are related to different cognitive demands and rates of success in both additive and multiplicative reasoning. Three different approaches to quantitative reasoning education illustrate current thinking on teaching problem solving: teaching reasoning before arithmetic, schema-based instruction, and the use of pre-designed diagrams. The book also includes a summary of contemporary approaches to the description of the knowledge of numbers and arithmetic that teachers need to be effective teachers of these aspects of mathematics in primary school. The concluding section includes a brief summary of the major themes addressed and the challenges for the future. The new theoretical framework presented offers researchers in mathematics education novel insights into the differences between empirical studies in this domain. At the same time the description of the two meanings of numbers helps teachers distinguish between the different aims of teaching about numbers supported by diverse methods used in primary school. The framework is a valuable tool for comparing the different methods and identifying the various assumptions about teaching and learning.
Author: Gill Bottle
Publisher: A&C Black
ISBN: 0826472583
Category : Education
Languages : en
Pages : 220
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Book Description
Numerous examples from early years and primary classrooms are included as well as checklists and helpful advice. There are also suggestions for further reading to assist trainee and newly qualified teachers in meeting the Standards for Initial Teacher Training and Induction.
Author: Richard English
Publisher: Learning Matters
ISBN: 0857257277
Category : Education
Languages : en
Pages : 162
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Book Description
There is a new and increasing emphasis on the importance of teaching arithmetical skills in primary schools. This text outlines what is meant by arithmetic and enables trainee teachers to build their own confidence in teaching arithmetic. It covers all aspects of arithmetic including recall of number facts and traditional pen and paper methods. Each arithmetical approach is illustrated with detailed examples and readers can access their own learning in each area. Guidance on when and where to use different approaches to enhance children′s learning is included and interactive activities highlight essential links between theory and practice. Abouth the Transforming Primary QTS series This series reflects the new creative way schools are begining to teach, taking a fresh approach to supporting trainees as they work towards primary QTS. Titles provide fully up to date resources focused on teaching a more integrated and inclusive curriculum, and texts to draw out meaningful and explicit cross curricular links.
Author: Larkin Dunton
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 176
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Book Description
Author: Robert J. Sovchik
Publisher: HarperCollins Publishers
ISBN:
Category : Education
Languages : en
Pages : 586
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Book Description
A textbook to help pre-service and in-service teachers. Each chapter lists objectives and main themes and ends with discussion questions. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Valsa Koshy
Publisher: Routledge
ISBN: 1134635915
Category : Education
Languages : en
Pages : 287
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Book Description
This book combines accessible explanations of mathematical concepts with practical advice on effective ways of teaching the subject. Section A provides a framework of good practice. Section B aims to support and enhance teachers subject knowledge in mathematical topics beyond what is taught to primary children. Each chapter also highlights teaching issues and gives examples of tasks relevant to the classroom. Section C is a collection of papers from tutors from four universities centred around the theme of effective teaching and quality of learning during this crucial time for mathematics education.
Author: Douglas H. Clements
Publisher: Routledge
ISBN: 1134080786
Category : Education
Languages : en
Pages : 741
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Book Description
In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child’s level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.
Author: Thompson, Ian
Publisher: McGraw-Hill Education (UK)
ISBN: 0335241530
Category : Education
Languages : en
Pages : 270
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Book Description
The new edition of this bestselling book provides an accessible guide to a wide range of research evidence about teaching and learning mathematics. --
Author: David Eugene Smith
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 126
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Book Description
This work has been prepared with a view to the needs of those who are giving instruction or supervising the work in arithmetic in the elementary schools. If this volume serves to make arithmetic more interesting to teacher and pupil, to make it touch more clearly the vital questions of daily live, to point out a line of work that is free from eccentricities, and to present a broad view of the subject, then the ambitions of the author will have been realized.