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Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.
Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. Author Mary Kay Stein and her colleagues at the QUASAR Project at the University of Pittsburgh present prevalent cases of mathematics instruction drawn from their research of nearly 500 classroom lessons. The Mathematical Tasks Framework, developed by the authors and explained thoroughly in the book, offers teachers and teacher educators the means to evaluate instructional decisions, the choice of materials, and learning outcomes, and the case studies afford readers the opportunity to ground these ideas in actual classroom practice. Readers will gain insight about how to foster a challenging, cognitively rich, and exciting classroom climate that propels students toward a richer understanding of mathematics. “If every teacher and teacher educator took the opportunity to study and discuss these cases, students everywhere would know and value mathematics as the national standards have envisioned.” —Susan Loucks-Horsley, Director of Professional Development for the National Institute for Science Education “The power of case discussions can be fully realized using this book as a tool. Equally important, teachers will be highly motivated because they see their own practice mirrored in the cases.” —Carne Barnett, WestEd, San Francisco, CA
Anyone responsible for the curriculum review and selection process within a district will find this book essential reading.
Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Standards in the American education system are traditionally handled on a state-by-state basis, which can differ significantly from one region of the country to the next. Recently, initiatives proposed at the federal level have attempted to bridge this gap. Common Core Mathematics Standards and Implementing Digital Technologies provides a critical discussion of educational standards in mathematics and how communication technologies can support the implementation of common practices across state lines. Leaders in the fields of mathematics education and educational technology will find an examination of the Common Core State Standards in Mathematics through concrete examples, current research, and best practices for teaching all students regardless of grade level or regional location. This book is part of the Advances in Educational Technologies and Instructional Design series collection.
This book provides support and guidance to teachers in their professional development. A constructivist approach was used while exploring the implementation of standards into the mathematics and science curriculum. Contents include: (1) "Engagement: Thinking about Standards and Instruction"; (2) "Exploration: Discovering National Standards Resources"; (3) "Explanation I: Researching National Standards to Clarify Learning Goals"; (4) "Explanation II: Assessment in a Standards-Based System"; (5) "Extension I: Developing Standards-Based Curriculum Materials"; (6) "Extension II: Analyzing and Evaluating Curriculum Materials"; (7) "Extension III: Curriculum Mapping"; (8) "Evaluation: Discoveries about Standards-Based Teaching and Learning"; and (9) "Endurance: Sustaining Change". (YDS).
Balancing Mathematics Instruction is a guide providing an effective strategy for schools or districts to change math instruction in preparation for the Common Core State Standards. These practices emphasize a student-centered classroom environment that promotes four instructional areas to “balance” out textbook- and standards-driven teaching: computational strength, number sense, problem solving, and conceptual understanding. The accompanying DVD is an integral visual resource illustrating the practices in action in actual classrooms.
Virtually every national standards document, every state framework, and every local set of standards calls for fundamental changes in what and how teachers teach. The challenge for teachers is to implement the vision for mathematics and science classrooms called for in the standards. This issue describes that vision and suggests ways to use the standards mandated in your school to improve your practice--to help you teach in your standards-based classroom.
"Mathematics Instruction and Tasks in a PLC at Work®, Second Edition by Mona Toncheff, Timothy D. Kanold, Sarah Schuhl, Bill Barnes, Jennifer Deinhart, Jessica Kanold-McIntyre, and Matthew R. Larson provides guidance for K-12 teachers to reflect on current lesson-design practices, compare those practices against high-quality standards of mathematics lesson design, and develop and use effective lessons that engage students within the mathematics classroom. Part of the Every Student Can Learn Mathematics series, it offers a comprehensive professional learning community (PLC) approach to sustaining deep change in mathematics achievement. The PLC at Work process is one of the best models that schools or districts can use to build a more equitable learning experience for students. Using the four critical questions of a PLC, teams will provide every mathematics student with common learning experiences, opportunities for sustained perseverance, and robust formative feedback. In this second edition, teachers will access new and updated tools to maximize their lesson-planning strategies in mathematics within the PLC framework"--
