Strategies for Teaching Whole Number Computation

Strategies for Teaching Whole Number Computation

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  • Author: David B. Spangler
  • Publisher: Corwin Press
  • ISBN: 1452296340
  • Category : Education
  • Languages : en
  • Pages : 224

Through error analysis and targeted instruction, you can uncover students' misconceptions in addition, subtraction, multiplication, and division and help students understand and correct their own mistakes!


Strategies for Teaching Whole Number Computation

Strategies for Teaching Whole Number Computation

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  • Author: David B. Spangler
  • Publisher: Corwin Press
  • ISBN: 1412981069
  • Category : Education
  • Languages : en
  • Pages : 225

"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 --


Number Talks

Number Talks

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  • Author: Sherry Parrish
  • Publisher: Math Solutions
  • ISBN: 1935099116
  • Category : Education
  • Languages : en
  • Pages : 434

"A multimedia professional learning resource"--Cover.


Figuring Out Fluency - Addition and Subtraction With Whole Numbers

Figuring Out Fluency - Addition and Subtraction With Whole Numbers

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  • Author: John J. SanGiovanni
  • Publisher: Corwin Press
  • ISBN: 1071825100
  • Category : Education
  • Languages : en
  • Pages : 192

Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Whole Numbers. With this book, teachers can: • Dive deeper into the Significant Strategies for fluency explained in the anchor book • Learn how these strategies grow from and relate to the basic fact strategies children learn • Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers • Find activities for assessing all components of addition and subtraction fluency plus support for engaging families • Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation. Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.


Strategies for Teaching Fractions

Strategies for Teaching Fractions

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  • Author: David B. Spangler
  • Publisher: Corwin Press
  • ISBN: 1412993989
  • Category : Education
  • Languages : en
  • Pages : 249

David B. Spangler outlines powerful diagnostic and NCTM- and Common Core State Standards-aligned RTI strategies for analyzing student errors and provides specific interventions for each error pattern.


Teaching and Learning About Whole Numbers in Primary School

Teaching and Learning About Whole Numbers in Primary School

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  • Author: Terezinha Nunes
  • Publisher: Springer
  • ISBN: 3319451138
  • Category : Education
  • Languages : en
  • Pages : 50

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.


Helping Children Learn Mathematics

Helping Children Learn Mathematics

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  • Author: National Research Council
  • Publisher: National Academies Press
  • ISBN: 0309131987
  • Category : Education
  • Languages : en
  • Pages : 52

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.


How Students Learn

How Students Learn

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  • Author: National Research Council
  • Publisher: National Academies Press
  • ISBN: 0309089506
  • Category : Education
  • Languages : en
  • Pages : 265

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.


Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

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  • Author: Jennifer M. Bay-Williams
  • Publisher: Corwin
  • ISBN: 1071818430
  • Category : Education
  • Languages : en
  • Pages : 265

Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.


Building the Foundation: Whole Numbers in the Primary Grades

Building the Foundation: Whole Numbers in the Primary Grades

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  • Author: Maria G. Bartolini Bussi
  • Publisher: Springer
  • ISBN: 3319635557
  • Category : Education
  • Languages : en
  • Pages : 536

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.