Analysis Of Arithmetic For Mathematics Teaching
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Author | : Gaea Leinhardt |
Publisher | : Routledge |
Total Pages | : 472 |
Release | : 2020-11-25 |
Genre | : Education |
ISBN | : 1135440654 |
Download Analysis of Arithmetic for Mathematics Teaching Book in PDF, Epub and Kindle
This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.
Author | : Gaea Leinhardt |
Publisher | : Routledge |
Total Pages | : 469 |
Release | : 2020-11-25 |
Genre | : Education |
ISBN | : 1135440581 |
Download Analysis of Arithmetic for Mathematics Teaching Book in PDF, Epub and Kindle
This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.
Author | : National Society for the Study of Education. Committee on the Teaching of Arithmetic |
Publisher | : KirtasBooks |
Total Pages | : 216 |
Release | : 1951 |
Genre | : Arithmetic |
ISBN | : |
Download The Teaching of Arithmetic Book in PDF, Epub and Kindle
Author | : Margie Pearse |
Publisher | : Corwin Press |
Total Pages | : 241 |
Release | : 2011-03-23 |
Genre | : Education |
ISBN | : 1452224404 |
Download Teaching Numeracy Book in PDF, Epub and Kindle
Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.
Author | : David B. Spangler |
Publisher | : Corwin Press |
Total Pages | : 225 |
Release | : 2010-06-02 |
Genre | : Education |
ISBN | : 1412981069 |
Download Strategies for Teaching Whole Number Computation Book in PDF, Epub and Kindle
"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 | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 233 |
Release | : 2001-02-25 |
Genre | : Education |
ISBN | : 0309072522 |
Download Knowing and Learning Mathematics for Teaching Book in PDF, Epub and Kindle
There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.
Author | : Liping Ma |
Publisher | : Routledge |
Total Pages | : 290 |
Release | : 2010-03-26 |
Genre | : Education |
ISBN | : 1135149496 |
Download Knowing and Teaching Elementary Mathematics Book in PDF, Epub and Kindle
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
Author | : Terezinha Nunes |
Publisher | : Springer |
Total Pages | : 50 |
Release | : 2016-08-29 |
Genre | : Education |
ISBN | : 3319451138 |
Download Teaching and Learning About Whole Numbers in Primary School Book in PDF, Epub and Kindle
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 | : Benchara Branford |
Publisher | : |
Total Pages | : 430 |
Release | : 1908 |
Genre | : Arithmetic |
ISBN | : |
Download A Study of Mathematical Education Including the Teaching of Arithmetic Book in PDF, Epub and Kindle
Author | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 52 |
Release | : 2002-07-31 |
Genre | : Education |
ISBN | : 0309131987 |
Download Helping Children Learn Mathematics Book in PDF, Epub and Kindle
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.