Mathematics Instruction And Tasks In A Plc At Work

Provides specific information on how to transform schools into results-oriented professional learning communities, describing the best practices that have been used by schools nationwide.

Build collective teacher efficacy and students' mathematical thinking using the Mathematics in a PLC at Work(TM) lesson-design process. This second edition of the popular Mathematics Instruction and Tasks book guides preK-12 teacher teams in ensuring improved mathematics achievement. Gain new and enhanced understanding of research-affirmed instructional routines, and learn how to efficiently elicit high levels of student engagement and self-efficacy. Implement instructional strategies and methods of teaching mathematics in a professional learning community. This book will help preK-12 mathematics teachers and teacher teams: Identify essential mathematics content standards students learn during a unit Understand the importance of communicating the why of the essential mathematics learning standards to students Plan for the use of balanced rigor and mathematical routines to teach each content standard during instruction Use a balance of appropriate mathematics activities and tasks needed to develop conceptual understanding, procedural fluency, and application of mathematical concepts and skills Implement instructional math routines that ensure the formative learning of all students during lessons Contents: Preface Introduction: The Mathematics at Work(TM) Lesson Design Framework Chapter 1: Essential Learning Standards--The Why of the Lesson Chapter 2: Prior-Knowledge Routines Chapter 3: Mathematics Language Routines Chapter 4: A Balance of Mathematical Tasks Chapter 5: Mathematical Discourse Routines Chapter 6: Lesson Closure Routines Chapter 7: High-Quality Tier 1 Mathematics Intervention Chapter 8: Analyzing the Effectiveness of Mathematics Instruction Epilogue Appendix A Appendix B: Cognitive-Demand-Level Task Analysis Guide Appendix C: Mathematics Instruction and Tasks in a PLC at Work Protocols and Tools

What exactly do your students need to know by the end of each unit of mathematics study throughout the school year? This practical resource empowers teacher teams to collectively plan for and deliver highly effective units of study in grades 6-8. The authors clearly outline how to generate essential learning standards, create a team unit calendar, identify prior knowledge, and complete many other essential collaborative tasks. Use this resource to provide intermediate grade-level students with a more equitable mathematics learning experience Understand how to collaboratively plan mathematics units in grades 6-8 as a professional learning community (PLC). Study the seven unit-planning elements and learn how to incorporate each in essential unit design. Review the role of the PLC at Work® process in enhancing student learning and teacher collaboration. Observe three model units, one for each grade, for ratios and proportional reasoning. Receive tools and templates for effective unit planning. Contents: Acknowledgments Table of Contents About the Authors Introduction Part One: Mathematics Unit Planning and Design Elements Chapter 1: Planning for Student Learning of Mathematics in Grades 6-8 Chapter 2: Unit Planning as a Collaborative Mathematics Team Part Two: Ratios and Proportional Reasoning Examples, Grades 6-8 Chapter 3: Grade 6 Unit--Ratios and Rates Chapter 4: Grade 7 Unit--Proportional Reasoning Chapter 5: Grade 8 Unit--Linear Functions Epilogue Appendix A: Create a Proficiency Map Appendix B: Team Checklist and Questions for Mathematics Unit Planning References and Resources Index

Part of the Every Student Can Learn Mathematics series Improve your students' comprehension and perseverance in mathematical practices. This user-friendly book is divided into two parts, each covering a key team action for mathematics instruction in a PLC at Work(tm). First you'll examine high-quality research-affirmed math lesson design elements. Then you'll learn how to implement them within your math lesson routines and activities. The book features team discussion tools, sample math lesson designs, strategies for improving student discourse of mathematical concepts, online resources for instructional support, and more. Implement instructional strategies for math, in a professional learning community: Plan for the use of balanced rigorous mathematical practices and routines to teach each content standard during core mathematics instruction. Identify mathematics content standards students must learn in a unit and the appropriate math activities and tasks needed to develop understanding, application, and fluency progressions of mathematical concepts. Understand the importance of communicating the why of mathematical skills and essential learning standards to students. Implement instructional strategies for math that ensure the formative learning of all students during lessons. Contents: Introduction Part I: Team Action 1: Develop High-Quality, Essential, and Balanced Lesson-Design Elements Chapter 1: Essential Learning Standards: The Why of the Lesson Chapter 2: Prior-Knowledge Warm-Up Activities Chapter 3: Academic Language Vocabulary as Part of Instruction Chapter 4: Lower- and Higher-Level Cognitive Demand Mathematical Task Balance Chapter 5: Whole-Group and Small-Group Discourse Balance Chapter 6: Lesson Closure for Evidence of Learning Chapter 7: Mathematics Lesson-Design Tool Part II: Use Lesson Design Elements to Provide Formative Feedback and Foster Student Perseverance Chapter 8: Essential Learning Standards and Prior Knowledge Warm-Up Activities Chapter 9: Using Vocabulary as Part of Instruction Chapter 10: Implementing Mathematical Task and Discourse Balance Chapter 11: Using Lesson Closure for Evidence of Learning Chapter 12: Responding to Lesson Progress With High-Quality Tier 1 Mathematics Intervention Epilogue Appendix A References and Resources Index Books in the Every Student Can Learn Mathematics series: Mathematics Assessment and Intervention in a PLC at Work(tm) Mathematics Instruction and Tasks in a PLC at Work(tm) Mathematics Homework and Grading in a PLC at Work(tm) Mathematics Coaching and Collaboration in a PLC at Work(tm)

Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

This teacher guide illustrates how to sustain successful implementation of the Common Core State Standards for mathematics, grades 3–5. Discover what students should learn and how they should learn it at each grade level. Comprehensive research-affirmed analysis tools and strategies will help you and your collaborative team develop and assess student demonstrations of deep conceptual understanding and procedural fluency.

Part of the Every Student Can Learn Mathematics series Build a mathematics teaching community that promotes learning for K-12 educators and students. This user-friendly resource is divided into two parts, each covering actionable team strategies in teaching mathematics in a PLC at Work(TM). First you'll discover how to coach highly effective mathematics teams within your professional learning community. Then you'll learn how to utilize collaboration and lesson-design elements within your math curriculum for teacher team reflection, assessment data analysis, and action. Learn to lead math teacher teams and foster effective collaborative teaching strategies: Build a collaborative math learning culture that engages and promotes learning for students and staff members. Optimize coaching and foster equity and belonging, to encourage collaboration on instruction and math assessment. Engage in mathematics lesson study, to help teams learn from one another and reflect on effective strategies in teaching mathematics. Develop norms, SMART goals for teachers, agendas, and a plan for working effectively as a collaborative team in a PLC at Work(TM). Address all parts of your math curriculum, from math instruction to math interventions. Contents: Preface Introduction Part 1: Develop PLC Structures for Effective Teacher Team Engagement, Transparency, and Action Chapter 1: Five Inspirational PLC Leadership Practices Chapter 2: Five Leadership Strategies for Effective Collaboration in Mathematics Part 2: Use Common Assessments and Lesson-Design Elements for Teacher Team Reflection, Data Analysis, and Subsequent Action Chapter 3: How to Create and Nurture a Culture of Change, Growth, Reflection, and Improvement in Your Mathematics Program Chapter 4: How to Lead a Culture of Transparency and Learning with Mathematics Assessments Chapter 5: How to Lead in a Culture of Transparency and Learning with Mathematics Instruction Chapter 6: How to Lead a Culture of Collective Responsibility Epilogue Appendix A References and Resources Books in the Every Student Can Learn Mathematics series: Mathematics Assessment and Intervention in a PLC at Work(TM) Mathematics Instruction and Tasks in a PLC at Work(TM) Mathematics Homework and Grading in a PLC at Work(TM) Mathematics Coaching and Collaboration in a PLC at Work(TM)

Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.