The Teaching Of Arithmetic In Primary Schools
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Teaching And Learning About Whole Numbers In Primary School
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Author : Terezinha Nunes
language : en
Publisher: Springer
Release Date : 2016-08-29
Teaching And Learning About Whole Numbers In Primary School written by Terezinha Nunes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-29 with Education categories.
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.
Teaching Arithmetic In Primary Schools
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Author : Richard English
language : en
Publisher: Learning Matters
Release Date : 2012-11-16
Teaching Arithmetic In Primary Schools written by Richard English and has been published by Learning Matters this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-16 with Education categories.
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.
The Teaching Of Arithmetic In Primary Schools
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Author :
language : en
Publisher:
Release Date : 1960
The Teaching Of Arithmetic In Primary Schools written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
Arithmetic In Primary Schools
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Author : Association of Teachers in Colleges and Departments of Education (Great Britain). Mathematics Section
language : en
Publisher:
Release Date : 1947
Arithmetic In Primary Schools written by Association of Teachers in Colleges and Departments of Education (Great Britain). Mathematics Section and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Arithmetic categories.
Arithmetic In Primary Schools
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Author : Association of Teachers in Colleges and Departments of Education. Metropolitan branch. Mathematics section
language : en
Publisher:
Release Date : 1947
Arithmetic In Primary Schools written by Association of Teachers in Colleges and Departments of Education. Metropolitan branch. Mathematics section and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Arithmetic categories.
Teaching And Learning About Whole Numbers In Primary School
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Author : Pi-Jen Lin
language : en
Publisher:
Release Date : 2020-10-08
Teaching And Learning About Whole Numbers In Primary School written by Pi-Jen Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 with Education categories.
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. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
The Teaching Of Arithmetic In Primary Schools
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Author : J. A. MILES (of the Education Department, Perth, Western Australia.)
language : en
Publisher:
Release Date : 1927
The Teaching Of Arithmetic In Primary Schools written by J. A. MILES (of the Education Department, Perth, Western Australia.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with categories.
Some Aspects Of The Teaching Of Arithmetic In Primary Schools
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Author : Morris Marshall
language : en
Publisher:
Release Date : 1956
Some Aspects Of The Teaching Of Arithmetic In Primary Schools written by Morris Marshall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Arithmetic categories.
Memorandum On The Teaching Of Arithmetic In Primary Schools
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Author : Great Britain. Scottish Education Department
language : en
Publisher:
Release Date : 1907
Memorandum On The Teaching Of Arithmetic In Primary Schools written by Great Britain. Scottish Education Department and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1907 with Arithmetic categories.
Methods Of Teaching Arithmetic In Primary Schools
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Author : Larkin Dunton
language : en
Publisher:
Release Date : 1891
Methods Of Teaching Arithmetic In Primary Schools written by Larkin Dunton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with Arithmetic categories.