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Lucas Gonzalez
Lucas Gonzalez

What You Need to Know About Elementary and Middle School Mathematics: Teaching Developmentally (8th Edition) (Teaching Student-Centered Mathematics Series)





Elementary And Middle School Mathematics: Teaching Developmentally (8th Edition) (Teaching Student-Centered Mathematics Series)




What is this book about?




If you are a pre-service or practicing teacher who wants to understand mathematics and teach it effectively to children in pre-K through eighth grade, then this book is for you. Elementary And Middle School Mathematics: Teaching Developmentally (8th Edition) is a best-selling book that will guide you through the process of making sense of math by supporting your own mathematical understanding and effective planning and instruction.




Elementary And Middle School Mathematics: Teaching Developmentally (8th Edition) (Teaching Student-C



The authors and their backgrounds




This book was written by leaders in the field of mathematics education who have decades of experience in teaching, research, and professional development. The late John A. Van de Walle was a professor emeritus at Virginia Commonwealth University and a renowned expert on elementary mathematics. Karen S. Karp is a professor at Johns Hopkins University and a former president of the Association of Mathematics Teacher Educators. Jennifer M. Bay-Williams is a professor at the University of Louisville and a former president of the National Council of Teachers of Mathematics.


The main features and benefits of the book




This book has many features that make it a valuable resource for mathematics teachers, such as:



  • It is structured for easy reference, offering 23 chapters reflecting the latest research and best practices in mathematics education.



  • It infuses NCTM and Common Core State Standards with the benefits of problem-based mathematics instruction.



  • It provides numerous examples of classroom activities, tasks, games, and assessments that engage students in mathematical thinking and reasoning.



  • It includes rich illustrations, photos, charts, tables, and graphs that support visual learning.



  • It offers practical tips, strategies, and suggestions for differentiating instruction, addressing diverse learners, integrating technology, and assessing student learning.



  • It incorporates reflective questions, activities, and exercises that help you deepen your understanding of mathematics concepts and pedagogy.



The target audience and how to use the book




This book is designed for pre-service and in-service teachers who teach mathematics to children in pre-K through eighth grade. It can be used as a textbook for mathematics methods courses, as a reference for professional development workshops, or as a self-study guide for individual or collaborative learning. You can use this book in various ways depending on your needs and goals, such as:



  • Reading it cover to cover to gain a comprehensive overview of elementary and middle school mathematics teaching and learning.



  • Selecting specific chapters or sections that match your interests or areas of improvement.



  • Using it as a source of ideas and inspiration for planning lessons, units, or projects.



  • Consulting it as a resource for solving problems, answering questions, or finding examples.



  • Reflecting on your own practice and beliefs about mathematics education and how to enhance them.



How does this book approach mathematics teaching and learning?




This book is based on the premise that mathematics teaching and learning should be developmentally appropriate, meaning that it should match the cognitive, social, and emotional needs and abilities of the learners. To achieve this goal, this book advocates for three key principles: teaching developmentally, teaching with problem-based tasks, and teaching with standards.


The principles of teaching developmentally




Teaching developmentally means that you understand how children learn mathematics and how to support their mathematical growth. This book will help you to:



  • Recognize the stages of mathematical development that children go through from pre-K to eighth grade.



  • Identify the big ideas, strategies, and models that children use to make sense of mathematics.



  • Build on children's prior knowledge, experiences, and interests to connect mathematics to their lives.



  • Facilitate children's conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition.



  • Promote children's communication, collaboration, and reflection skills in mathematics.



The problem-based approach to mathematics instruction




Teaching with problem-based tasks means that you engage children in meaningful and challenging mathematical situations that require them to think critically and creatively. This book will help you to:



  • Select or design tasks that are relevant, authentic, and open-ended.



  • Implement tasks in ways that foster inquiry, exploration, and discovery.



  • Use questioning techniques that elicit children's thinking and reasoning.



  • Create a classroom environment that supports productive struggle, risk-taking, and perseverance.



  • Encourage children to use multiple representations, tools, and strategies to solve problems.



The integration of NCTM and Common Core State Standards




Teaching with standards means that you align your instruction with the expectations and goals of the national and state mathematics curriculum frameworks. This book will help you to:



  • Understand the structure, content, and rationale of the NCTM Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics.



  • Interpret the standards in terms of what children should know and be able to do at each grade level.



  • Plan lessons and units that address the standards in a coherent and comprehensive way.



  • Evaluate your instruction and student learning based on the standards.



  • Advocate for high-quality mathematics education for all children.



What are some of the topics covered in this book?




This book covers a wide range of topics that are essential for elementary and middle school mathematics teaching and learning. Each chapter focuses on a specific domain or strand of mathematics and provides an overview of the concepts, skills, and processes involved. Some of the topics covered in this book are:


Number and operations




This topic deals with the understanding and use of numbers and operations in various contexts. You will learn about:



  • The development of number sense and numeration systems.



  • The properties and models of whole numbers, fractions, decimals, integers, and rational numbers.



  • The algorithms and mental math strategies for addition, subtraction, multiplication, and division.



  • The meanings and applications of ratios, proportions, percentages, exponents, roots, and scientific notation.



  • The connections between number theory concepts such as factors, multiples, primes, composites, divisibility rules, greatest common factor (GCF), least common multiple (LCM), etc.



Algebra and functions




This topic deals with the understanding and use of patterns, relations, functions, and algebraic expressions and equations in various contexts. You will learn about:



  • The development of algebraic thinking and reasoning skills from pre-K to eighth grade.



  • The representation and analysis of patterns and sequences using tables, graphs, words, and symbols.



  • The exploration and interpretation of functions and their properties using input-output tables, graphs, equations, and verbal descriptions.



  • The construction and evaluation of algebraic expressions and equations using variables, constants, coefficients, terms, and operations.



The solution and application of linear equations and inequalities using various methods such as guess-and-check, tables, graphs, algebra tiles,


  • Using it as a source of ideas and inspiration for designing and implementing classroom activities, tasks, games, and assessments.



  • Consulting it as a resource for solving problems, answering questions, or finding examples.



  • Reflecting on your own practice and beliefs about mathematics education and how to enhance them.



  • Q: How can I use this book in my self-study or collaborative learning?



  • A: You can use this book in your self-study or collaborative learning in various ways, such as:



  • Reading it individually or with a partner or a team to deepen your understanding of mathematics concepts and pedagogy.



  • Selecting specific chapters or sections that interest you or challenge you.



  • Using it as a source of ideas and inspiration for trying out new strategies, tools, or approaches in your classroom.



  • Consulting it as a resource for solving problems, answering questions, or finding examples.



  • Reflecting on your own practice and beliefs about mathematics education and how to enhance them.



  • Q: How can I access the online resources and tools that come with this book?



  • A: You can access the online resources and tools that come with this book by following these steps:



  • Go to www.pearson.com/en-us/subject-catalog/p/Van-de-Walle-Elementary-and-Middle-School-Mathematics-Teaching-Developmentally-plus-My-Lab-Education-with-Enhanced-Pearson-e-Text-Access-Card-Package-10th-Edition/P200000001984/9780136941101



  • Click on the "Register" button and follow the instructions to create an account.



  • Enter the access code that came with your book or purchase one online.



  • Log in to your account and enjoy the online resources and tools.



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