Children S Mathematics

Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Size: 28.34 MB
Format: PDF, Docs
View: 4354
With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.

Extending Children S Mathematics

Author: Susan B. Empson
Publisher: Heinemann Educational Books
ISBN: 9780325030531
Size: 11.41 MB
Format: PDF, ePub, Docs
View: 913
"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.

Conducting Productive Meetings

Author: Teruni Lamberg
Publisher: Rowman & Littlefield
ISBN: 1475841329
Size: 29.89 MB
Format: PDF, Docs
View: 6499
Successful leaders have excellent communication with their team and stakeholders. Learn strategies used by highly effective leaders who have led teams to innovate. Eight innovative leaders whose work has made an impact nationally and internationally and seven K-12 leaders who have amazing track records share how they communicate with their team and stakeholders. The author also shares her insights on leading a statewide professional development project in Nevada. A leader must structure activities such as meetings and informal interactions to create optimal conditions to generate and refine ideas. Readers will gain specific strategies to use in meetings to move ideas from the brainstorming stage to more refined ideas that result in innovative theories, products or services. Considering the needs of the customer and engaging them in the design process is an important part of innovating. Readers will also learn how to structure meetings and activities to generate and refine ideas. The author also presents a framework that is backed up by research in business and creativity.

International Handbook Of Mathematics Teacher Education Volume 1

Publisher: BRILL
ISBN: 9004418873
Size: 56.10 MB
Format: PDF, Kindle
View: 1090
Knowledge, Beliefs, and Identity in Mathematics Teaching and Teaching Development examines teacher knowledge, beliefs, identity, practice and relationships among them. These important aspects of mathematics teacher education continue to be the focus of extensive research and policy debate globally.

Mathematical Discourse Let The Kids Talk

Author: Barbara Blanke
Publisher: Shell Education
ISBN: 0743922336
Size: 51.55 MB
Format: PDF, Docs
View: 2533
This invaluable resource provides teachers with the tools they need to facilitate mathematical discourse and create opportunities for students to think constructively, communicate effectively, and increase mathematics proficiency. This book will help teachers develop a new set of pedagogical skills and strategies to assess, plan, and organize their classrooms in a manner that is conducive to mathematical discourse. With helpful tips and strategies that are easy to implement, this standards-based book supports an equitable learning environment by encouraging active listening, clear communication, justification of perspective, and acknowledgement of students' experiences. Each chapter includes Culturally and Linguistically Responsive Teaching and Learning strategies to address cultural norms for diverse populations, and support the needs of English language learners. With tips for implementing Math Talks and Number Talks, this resource will get students thinking like mathematicians in no time.

Teaching Students With Learning And Behavior Problems

Author: Donald D. Hammill
Publisher: Pro Ed
Size: 13.98 MB
Format: PDF, ePub, Mobi
View: 6330
Discusses the duties of teachers in the management of students with school-related problems, reviews assessment and instructional methods, and suggests materials and sources for teaching.

Math Exchanges

Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Size: 62.28 MB
Format: PDF, ePub, Mobi
View: 6123
Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in Kassia's math workshop are becoming self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? and How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?