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Author : Terezinha Nunes
Publisher :
ISBN 13 : 9783319451145
Total Pages : pages
Book Rating : 4.46/5 ( download)
Download or read book Teaching and Learning About Whole Numbers in Primary School written by Terezinha Nunes and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Terezinha Nunes
Publisher : Springer
ISBN 13 : 3319451138
Total Pages : 50 pages
Book Rating : 4.38/5 ( download)
Download or read book Teaching and Learning About Whole Numbers in Primary School written by Terezinha Nunes and published by Springer. This book was released on 2016-08-29 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Maria G. Bartolini Bussi
Publisher : Springer
ISBN 13 : 3319635557
Total Pages : 536 pages
Book Rating : 4.52/5 ( download)
Download or read book Building the Foundation: Whole Numbers in the Primary Grades written by Maria G. Bartolini Bussi and published by Springer. This book was released on 2018-03-29 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.
Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309089506
Total Pages : 265 pages
Book Rating : 4.00/5 ( download)
Download or read book How Students Learn written by National Research Council and published by National Academies Press. This book was released on 2005-01-28 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: How Students Learn: Science in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in science at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. This book discusses how to build straightforward science experiments into true understanding of scientific principles. It also features illustrated suggestions for classroom activities.
Author : David B. Spangler
Publisher : Corwin Press
ISBN 13 : 1412981069
Total Pages : 225 pages
Book Rating : 4.64/5 ( download)
Download or read book Strategies for Teaching Whole Number Computation written by David B. Spangler and published by Corwin Press. This book was released on 2010-06-02 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The nuts-and-bolts approach to assessment and error analysis make this book a real tool for everyday use."---Judith A. Filkins, K-8 Math Curriculum Coordinator Lebanon School District, NH --
Author : Pi-Jen Lin
Publisher :
ISBN 13 : 9781013267611
Total Pages : 56 pages
Book Rating : 4.13/5 ( download)
Download or read book Teaching and Learning About Whole Numbers in Primary School written by Pi-Jen Lin and published by . This book was released on 2020-10-08 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 52 pages
Book Rating : 4.88/5 ( download)
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we’re teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre--kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Author :
Publisher : BRILL
ISBN 13 : 9087903952
Total Pages : 255 pages
Book Rating : 4.54/5 ( download)
Download or read book Children Learn Mathematics written by and published by BRILL. This book was released on 2008-01-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improving the quality of education is an important endeavor of educational policy and TAL aims to contribute to this. TAL is a project initiated by the Dutch Ministry of Education, Culture and Sciences, and carried out by the Freudenthal Institute (FI) of Utrecht University and the Dutch National Institute for Curriculum Development (SLO), in collaboration with the Rotterdam Center for Educational Services (CED). The quality of education can be improved in many ways. TAL proposes to do this by providing insights into the broad outline of the learning-teaching process and its internal coherence. It aims to be a support for teachers alongside mathematics textbook series. Furthermore, TAL can provide extra support for teachers if it is incorporated into a circle of implementation.
Author : Len Frobisher
Publisher : Nelson Thornes
ISBN 13 : 9780748735150
Total Pages : 348 pages
Book Rating : 4.51/5 ( download)
Download or read book Learning to Teach Number written by Len Frobisher and published by Nelson Thornes. This book was released on 1999 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Organised into 21 independent modules covering number concepts and systems, the four number operations and pre-algebra, the book provides models for pupils' learning as well as seeking to develop the reader's own understanding of the subject"--Back cover.
Author : Jessica Shumway
Publisher : Taylor & Francis
ISBN 13 : 1003839789
Total Pages : 193 pages
Book Rating : 4.81/5 ( download)
Download or read book Number Sense Routines written by Jessica Shumway and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking and highly practical book,Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, author Jessica Shumway proposes that all children have innate number sense which can be developed through daily exercise. Shumway createda series of math routines designed to help young students strengthen and build their facility with numbers. These quick 5, 10, or 15 minute exercises are easy to implement as an add-on to any elementary math curriculum. Understanding Number Sense: Students with strong number sense understand numbers, how to subitize, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies, and use visual models to solve problems. Number Sense Routines supports the early learner by instilling the importance of daily warm-ups and explains how they benefit developing math minds for long-term learning. Real Classroom Examples: Shumway compiled her classroom observations from around the country. She includes conversations among students who practice number sense routines to illustrate them in action, how children's number sense develops with daily use, and math strategies students learn as they develop their numerical literacy through self-paced practice. Assessment Strategies: Number Sense Routines demonstrates the importance of listening to your students and knowing what to look for. Teachers will gain a deeper understanding of the underlying math skills and strategies students learn as they develop numerical literacy. Shumway writes, As you read, you will step into various classrooms and listen in on students' conversations, which I hope will give you insight into the power of number sense routines and the impact they have on students' number sense development. My hope is that going into the classroom, into students' conversations, and into their thought processes, you will come away with new ideas and tools to use in your own classroom.
