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Author: Randall E. Groth Publisher: SAGE Publications ISBN: 1483307093 Category : Education Languages : en Pages : 513
Book Description
A journey into the vibrant and intriguing world of mathematics education Teaching Mathematics in Grades 6 - 12 explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows secondary mathematics teachers the value of being a researcher in the classroom by constantly experimenting with methods for developing students′ mathematical thinking and then connecting this research to practices that enhance students′ understanding of the material. The chapters in Part I introduce secondary teachers to the field of mathematics education with cross-cutting issues that apply to teaching and learning in all mathematics content areas. The chapters in Part II are devoted to specific mathematics content strands and describe how students think about mathematical concepts. The goal of the text is to have secondary math teachers gain a deeper understanding of the types of mathematical knowledge their students bring to grade 6 – 12 classrooms, and how students′ thinking may develop in response to different teaching strategies.
Author: Randall E. Groth Publisher: SAGE Publications ISBN: 1483307093 Category : Education Languages : en Pages : 513
Book Description
A journey into the vibrant and intriguing world of mathematics education Teaching Mathematics in Grades 6 - 12 explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows secondary mathematics teachers the value of being a researcher in the classroom by constantly experimenting with methods for developing students′ mathematical thinking and then connecting this research to practices that enhance students′ understanding of the material. The chapters in Part I introduce secondary teachers to the field of mathematics education with cross-cutting issues that apply to teaching and learning in all mathematics content areas. The chapters in Part II are devoted to specific mathematics content strands and describe how students think about mathematical concepts. The goal of the text is to have secondary math teachers gain a deeper understanding of the types of mathematical knowledge their students bring to grade 6 – 12 classrooms, and how students′ thinking may develop in response to different teaching strategies.
Author: Marian Small Publisher: ISBN: Category : Education Languages : en Pages : 60
Book Description
Contains instructions, blackline masters, and solutions for five investigations in the content strands identified in the series: number and operations, algebra, geometry, measurement, and data analysis and probability. The CD-ROM contains blackline masters, readings for teachers, and applets for student use.
Author: Denisse Rubilee Thompson Publisher: ISBN: Category : Education Languages : en Pages : 132
Book Description
Presents hands-on investigations that nuture reasoning and problem-solving strategies. Students have opportunities to reason about parts of a whole, analyze patterns of growth, discover area formulas for familiar shapes, explore scale factors and similar figures, and analyze a set of date to solve a real-world problem.
Author: Eric W. Hart Publisher: National Council of Teachers of English ISBN: Category : Mathematics Languages : en Pages : 228
Book Description
Offers ways of presenting and developing three topics emphasised in Principles and Standards for School Mathematics: counting, vertex-edge graphs and iterative and recursive processes.
Author: Denisse Rubilee Thompson Publisher: Math Process Standards ISBN: 9780325017334 Category : Education Languages : en Pages : 0
Book Description
NCTM's Process Standards support teaching that helps students develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every middle grades math teacher the opportunity to explore each standard in depth. The series offers friendly, reassuring advice and ready-to-use examples to any teacher ready to embrace the Process Standards. In Introduction to Reasoning and Proof, Denisse Thompson and Karren Schultz-Ferrell familiarize you with ways to help students explore their reasoning and support their mathematical thinking. They offer an array of entry points for understanding, planning, and teaching, including strategies for encouraging middle grades students to describe their reasoning about mathematical activities. Thompson and Schultz-Ferrell also provide methods for questioning students about their conclusions and their thought processes in ways that help support classroom-wide learning. The book and accompanying CD-ROM are filled with activities that are modifiable for immediate use with students of all levels customizable to match your specific lessons. In addition, a correlation guide helps you match the math content you teach with the mathematical processes it utilizes. If your students could benefit from more opportunities to develop their reasoning about math concepts, or if you're simply looking for new ways to work the reasoning and proof standards into your curriculum, read, dog-ear, and teach with Introduction to Reasoning and Proof. And if you'd like to learn about any of NCTM's process standards, or if you're looking for new, classroom-tested ways to address them in your math teaching, look no further than Heinemann's Math Process Standards Series. You'll find them explained in the most understandable and practical way: from one teacher to another.
Author: Michael T. Battista Publisher: ISBN: 9780873537049 Category : Mathematics Languages : en Pages : 0
Book Description
Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8, based on extensive research conducted by the authors, is designed to help classroom teachers understand, monitor, and guide the development of students' reasoning and sense making about core ideas in middle school mathematics. It describes and illustrates the nature of these skills using classroom vignettes and actual student work in conjunction with instructional tasks and learning progressions to show how instruction can support students in their development of these competencies. Students who can make sense of mathematical ideas can apply those ideas in problem solving, even in unfamiliar situations, and can use them as a foundation for future learning. Without this base of conceptual understanding, students are reduced to rote learning, often experiencing frustration and failure. But what do reasoning and sense making look like in learning and teaching? Each chapter of Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8 explores a different topic that children encounter in mathematics, demonstrating with actual student work and classroom dialogue how their mathematical knowledge and reasoning ability move through "levels of sophistication," or learning progressions: After opening with a discussion of the nature of reasoning and sense making and their critical importance in developing mathematical thinking, chapter 1 examines how students attempt to make sense of the concepts of fractions and geometric properties of shapes. Chapter 2 discusses how reasoning about ratios and proportional relationships involves deep understanding of the multiplicative relationships embedded in the comparisons of two quantities. Chapter 3 focuses on what it means to call algebra a "style of mathematical thinking" and illustrates how students can view it as a reasoning and sense-making activity rather than as an isolated set of concepts to be memorized without understanding and quickly forgotten. Reasoning and sense making are inextricably linked in statistics and probability. Discussion and examples are used in chapter 4 to illustrate pedagogical practices that recognize and address students' development of statistical understanding, including some of the misunderstandings that students display along the way. Chapter 5 examines how students make sense of and reason about decomposing shapes, and discusses the mental processes underlying this reasoning in the context of area, surface area, and volume. Not just a theoretical treatise, the book provides specific suggestions for related instructional activities for each topic. Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8 will be a valuable and practical addition to your professional library.
Author: Rita C. Janes Publisher: Corwin Press ISBN: 1483330958 Category : Education Languages : en Pages : 224
Book Description
Count on children’s books to build number sense! Math and reading go hand in hand, especially among young children who are new to both. If you’re looking for a surefire way to build number sense and reading skills at the very same time, rely on this indispensable K-2 resource. Using children’s books as a springboard for standards-based learning, it provides 22 detailed lessons, all ready for immediate implementation. The authors--one an internationally respected math professional development consultant, the other a language arts specialist--weave together the Common Core Math and ELA standards and practices, supporting you as you combine children’s literature with meaningful mathematical learning experiences. Their book provides 22 interactive, research-based investigations with detailed instructional suggestions and problem-solving tasks High-quality children’s book selections Reflection and discussion questions and prompts for both teachers and students Children’s work pages and formative assessment tools An online facilitator’s guide Read this book, try out its investigations, and see the results for yourself. By pairing the books kids love with the math skills they’re building, you’ll give them a rock-solid foundation for future learning.
Author: Randall E. Groth
Author: Randall E. Groth
Author: Marian Small
Author: 
Author: Denisse Rubilee Thompson
Author: 
Author: Eric W. Hart
Author: Denisse Rubilee Thompson
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Author: Michael T. Battista
Author: Rita C. Janes