As a mathematics education consultant, he regularly works with K-8 teachers and in elementary school classrooms and has taught mathematics to children at all levels, K-8. Bay-Williams is a professor of mathematics education at the University of Louisville Kentucky. The information is useful for elementary teachers or college students training to become an elem techer. Discussion on engaging families in meaningful ways to help students learn mathematics appears in Ch 4. Van de Walle is Professor Emeritus, Virginia Commonwealth University. This process helps them apply their learning, while also honing their classroom observation and teaching skills.
Weaves the Focal Points throughout the chapters as well as links them with the Big Ideas feature—Focal Points have also been added to the Appendix. She continues to work in classrooms with elementary and middle school students and with teachers at all levels who work with students with disabilities. Jennifer taught elementary, middle, and high school in Missouri and in Peru, and continues to work in classrooms at all levels with students and with teachers. Instructors, contact your Pearson rep for more information. He visited and taught in many classrooms and worked with teachers to implement student-centered mathematics lessons.
Although he could not have foreseen the changes in mathematics teaching over the last three decades, he was at the forefront of the movement towards a constructivist view of teaching, or teaching developmentally. Additional samples of real student work are included to illustrate student thinking and responses to problem-based assignments. Many of the Activities in the book include a technological component. Strategies for English language learners and students with disabilities are interwoven in the text in Section I highlighted in Chapter 6. Coverage, illustrated with vignettes, now includes how to conduct productive discussion sessions and developing effective questioning Table of Contents Section 1: Teaching Mathematics: Foundations and Perspectives Chapter 1 Teaching Mathematics in the 21 st Century Chapter 2 Exploring What it Means to Know and Do Mathematics Chapter 3 Teaching through Problem Solving Chapter 4 Planning in the Problem-Based Classroom Chapter 5 Building Assessment into Instruction Chapter 6 Teaching Mathematics Equitably to All Children Chapter 7 Using Technological Tools to Teach Mathematics Section 2: Development of Mathematical Concepts and Procedures Chapter 8 Developing Early Number Concepts and Number Sense Chapter 9 Developing Meanings for the Operations Chapter 10 Helping Students Master the Basic Facts Chapter 11 Developing Whole-Number Place-Value Concepts Chapter 12 Developing Strategies for Addition and Subtraction Computation Chapter 13 Developing Strategies for Multiplication and Division Computation Chapter 14 Algebraic Thinking: Generalizations, Patterns, and Functions Chapter 15 Developing Fraction Concepts Chapter 16 Developing Strategies for Fraction Computation Chapter 17 Developing Concepts of Decimals and Percents Chapter 18 Proportional Reasoning Chapter 19 Developing Measurement Concepts Chapter 20 Geometric Thinking and Geometric Concepts Chapter 21 Developing Concepts of Data Analysis Chapter 22 Exploring Concepts of Probability Chapter 23 Developing Concepts of Exponents, Integers, and Real Numbers Van de Walle was a professor emeritus at Virginia Commonwealth University. Karp is a professor at Johns Hopkins University Maryland. As you engage with the activities, you'll boost your own knowledge of the math and learn concrete, developmentally appropriate ways to incorporate problem-based tasks in your classroom.
Learning then becomes an outcome of the problem solving process. Additionally, samples of Pearson's reformed-based curricula, Connnected Math Project 5-8 as well as Investigations K-4 , are featured in the text and on the myeducationlab site. This item shows minimal signs of use see notes below Notes We will not be able to change this after checkout has been completed. Karen is the volume editor of Annual Perspectives in Mathematics Education: Using Research to Improve Instruction and is the co-author of Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in PreK—Grade 2, Discovering Lessons for the Common Core State Standards in Grades K—5, and Putting Essential Understanding of Addition and Subtraction into Practice PreK—Grade 2. As teacher candidates engage with the activities, they boost their own knowledge of the math and learn concrete, developmentally appropriate ways to incorporate problem-based tasks in their classrooms.
Learning how best to help children believe that mathematics makes sense and that they themselves can make sense of mathematics is an exciting endeavor and a lifelong process. Each research-based table includes a student challenge, a sample of student work or a statement illustrating the challenge, and brief ideas of what an educator might do to help. · New samples of authentic student work illustrate student thinking. Elementary and Middle School Mathematics: Teaching Developmentally is a book for doing math today—for both students who want to become teachers, and the students they will eventually teach. This book was recommended during a summer inservice presentation by a University Math Methods professor, and I looked through her copy before I bought this one. It requires the knowledge gained from research, the wisdom shared by professional colleagues, and the insightful ideas that come from your own daily experiences with students. They are not blank slates waiting to absorb whatever the teacher tells them.
Effective problems will take into account where students are, the problematic or engaging aspect of the problem must be due to the mathematics that the students are to learn and not be diluted by non-mathematical activities such as cutting or pasting, and the problem must require justifications and explanations for answers and methods. Some student work also demonstrates naïve understandings. Elementary and Middle School Mathematics provides an unparalleled depth of ideas and discussion to help students develop a real understanding of the mathematics they will teach. Jennifer is a professor at the University of Louisville Kentucky and previously taught elementary, middle, and high school in Missouri and in Peru. Description For Elementary Mathematics Methods or Middle School Mathematics Methods Covers preK-8 Written by leaders in the field, this best-selling book will guide teachers as they help all PreK-8 learners make sense of math by supporting their own mathematical understanding and cultivating effective planning and instruction. Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help teachers develop a real understanding of the mathematics they will teach and the most effective methods of teaching the various mathematics topics. Karp is a professor of mathematics education at the University of Louisville in Kentucky.
Examples of real student work and new common challenges and misconception tables help you visualize good mathematics instruction and assessment that supports and challenges all learners. Examples of real student work and new common challenges and misconception tables allow readers to visualize good mathematics instruction and assessment that supports and challenges all learners. · Chapters 12 and 13 have been reorganized and now focus on developing strategies for addition and subtraction and multiplication and division computation, respectively. The Eighth Edition has been revised to better prepare teachers to teach mathematics to all learners. Buy vs Rent: We recommend you Buy This tool helps you determine if you should buy or rent your textbooks, based on the total cost of ownership including current sell back value. I do not regret my purchase, I recommend you get a good used copy - you don't need a new one. Effectively integrate technological tools to support teaching and learning with comprehensive coverage of new technologies and teaching strategies.
A, B , and research-based strategies are included to give pre-service teachers a thorough reference for all of the math content suggested for grades PreK-8. Teachers must understand both mathematics itself and how students learn mathematics in order to teach it effectively. More activities infusing technology and samples of authentic student work are introduced. Emphasis is placed on teaching math conceptually, in a problem-based, developmentally appropriate manner that supports the learning needs of all students. Chapter 5 on Building Assessment into Instruction has also been heavily revised to focus on increased testing pressure, creating more explicit links between objectives and assessment, and including assessments for students with special needs. Expanded Lessons now include tips and strategies for English language learners and students with disabilities o New! · Plan for all learners: o New! She continues to learn and work in K-8 classrooms in rural and urban settings.