Muutke küpsiste eelistusi

Math Pact, Middle School: Achieving Instructional Coherence Within and Across Grades [Pehme köide]

  • Formaat: Paperback / softback, 208 pages, kõrgus x laius: 254x177 mm, kaal: 450 g
  • Sari: Corwin Mathematics Series
  • Ilmumisaeg: 28-Oct-2020
  • Kirjastus: Corwin Press Inc
  • ISBN-10: 1544399553
  • ISBN-13: 9781544399553
Teised raamatud teemal:
  • Formaat: Paperback / softback, 208 pages, kõrgus x laius: 254x177 mm, kaal: 450 g
  • Sari: Corwin Mathematics Series
  • Ilmumisaeg: 28-Oct-2020
  • Kirjastus: Corwin Press Inc
  • ISBN-10: 1544399553
  • ISBN-13: 9781544399553
Teised raamatud teemal:
A schoolwide solution for students mathematics success!

Do you sometimes start to teach a mathematics concept and feel like youre staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! 

Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, youll learn to avoid "rules that expire"tricks that may seem to help students in one grade but hurt in the long run. Features of this book include

·         Abundant grade-specific examples

·         Effective working plans for sustainability

·         Barrier-busting tips, to-dos, and try-it-outs

·         Practical templates and checklists

·         PLC prompts and discussion points

 

When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics! 

Arvustused

"Just for a moment, imagine the positive and impenetrable mathematics energetic force field that could be created in a school if every teacher strategically and collaboratively decided upon agreements around mathematics vocabulary, notations, representations, and the overarching philosophy about how mathematics should be taught? Guess what! You do not have to imagine! No more reteaching, revising previously taught material, and explaining that Well, in my classroom, we do it, say it, notate it this way. Because lets face it, those messages confuse students and families and can frustrate teachers. Grab this book, gather your colleagues, and get started in creating a unified and comprehensive whole school agreement that will positively enrich your students mathematics learning experiences!" -- Beth Kobett "Maya Angelou said, Do the best you can until you know better. Then, when you know better, do better. The Math Pact is a practical guide that supports us in collectively taking responsibility for helping each and every one of our students to become problem solvers, critical thinkers, and capable and confident doers of mathematics. The detailed vignettes and suggestions are vivid guideposts for a journey of self-reflection and collective decision making with colleagues about really critical components of mathematics instruction. It will leave you both "knowing better" and collectively "doing better" for your students. No matter your level of experience, there is something new to learn here! I think it would work beautifully with pre-service teachers, new teachers, and veteran teachers. I even picked up some new things on my read that I hadnt really thought about in my nearly 30 years in the classroom." -- Shawn Towle "Wow! The Math Pact will lead the movement to help educators and students overcome the idea that math is a mysterious set of tricks and shortcuts. The Mathematics Whole School Agreement process provides the steps, language, representations, and knowledge to build, implement, and sustain equitable learning outcomes for all students! The power to make change is in our collective hands and hearts! This book needs to be in the hands of all teachers, district leaders, and stakeholders." -- Cathery Yeh "As a fan of the Rules That Expire and Whole School Agreement articles, I consider this resource a welcome addition to my professional library! In this practical, easy-to-follow book, the authors provide educators with an extremely thorough and useful "go to guide" on establishing a Mathematics Whole School Agreement (MWSA). For those not familiar with the NCTM articles that initiated the movement, this resource defines what an MWSA is and why each school should establish one. More important, educators learn how to create and implement an MWSA, and the role each school and district stakeholder plays in implementation. This user-friendly resource provides teachers, teacher leaders, parents, and administrators with a comprehensive blueprint that includes research-informed practices, vignettes, grade-specific examples, and tools to encourage reflection." -- Latrenda Knighten "The Math Pact provides middle school mathematics educators a solid resource to increase their knowledge base, through thought-provoking

content and practical instructional strategies. In addition, The Math Pact provides guidance to administrators seeking to develop collaborative and cohesive instructional teams focused on providing consistent high-quality mathematics environments and instruction for all students. This is an essential resource for mathematics educators." -- Kristopher J. Childs "These books provide effective steps and strategies toward students being able to make powerful, purposeful connections across grade levels and across a wide variety of mathematical concepts." -- Christine Koerner "This book brilliantly connects research-informed practices to empower stakeholders in engaging students in meaningful mathematics through a vertically articulated Mathematics Whole School Agreement! Building on the impact of the Rules That Expire series, the authors lay out an easy to implement approach to share, connect, and represent mathematical ideas across classrooms to intentionally and explicitly bring about change prior, during, and after instruction." -- Farshid Safi "If you have anything to do with transforming mathematics teaching and learning at your school, then stop everything right now and read

this book. Bush, Karp, and Doughertys The Math Pact strategically navigates the complex topic of creating and cultivating cohesive mathematics instruction by introducing readers to their Mathematics Whole School Agreement and specific elements that ensure schoolwide success. Building on their renowned Rules That Expire work, this book takes readers through the essential components of best practices of mathematics teaching. This should be a required read for any mathematics leadership program." -- Hilary Kreisberg "This is a long-awaited publication that will help preservice teachers, educators, and administrators of all levels and curriculum coordinators abolish the use of tricks and magic in mathematics instruction. For years we have inadvertently led students down a dead-end street in their math instruction by teaching them expiring rules, tricks, and cutesy sayings that may help them perform short-term on a test but leave them conceptually damaged in the long run." -- Julie Duford "This is the perfect balance of inspiration and practical guidance! The inspiration motivates me to work harder at collaboration with peers,

building common commitment. The practical guidance helps me put the ideas into action around what specific changes will improve mathematics teaching and learning." -- Lynn Selking "What is one way that you and your colleagues can support all learners? By engaging in thoughtful conversations in which priorities and plans can lead to sustained change. At the outset, exploring and committing to a Mathematics Whole School Agreement with your colleagues creates the opportunity for consistency in a grade level, a school, as well as in a district. The Math Pact, Middle School: Achieving Instructional Coherence Within and Across Grades not only challenges stakeholders including teachers, parents, community members, paraprofessionals, coaches, learning specialists, and school leadership to explore these foundational agreements but importantly provides a clear pathway to achieve them, and as a result, creates a collective responsibility for the mathematical learning of all students." -- George J. Roy

Foreword xvi
Robert Q. Berry
Matt Larson
Preface xviii
Acknowledgments xxi
About the Authors xxiii
1 Jumping on Board: What Is the Mathematics Whole School Agreement?
1(17)
What Is the Mathematics Whole School Agreement?
2(2)
Why Students Need a Cohesive Approach to Instruction
4(1)
How Does an MWSA Provide a Solution?
4(7)
An MWSA Is an Agreement Among All Stakeholders
5(1)
An MWSA Helps Students Make Sense of the Content
5(1)
An MWSA Helps Teachers Align Their Teaching With Standards and Assessments
6(5)
Committing to Equitable and High-Quality Mathematics Instruction
11(2)
Equitable Instruction
11(1)
High-Quality Mathematics Instruction
12(1)
Prioritizing the Development of Deep Mathematical Understanding
13(1)
The MWSA Process
14(3)
Putting It All Together!
17(1)
Next Steps
17(1)
2 Watching What We Say! Using Correct and Consistent Language
18(20)
Introduction to Mathematical Language
19(2)
Commonly Used Words That Expire in Middle School
21(13)
Introducing Vocabulary
28(6)
Avoiding Messy, Misaligned, and Sometimes Meaningless Mnemonics
30(4)
Communicating These Changes in Mathematical Language to Others
34(3)
Putting It All Together!
37(1)
Next Steps
37(1)
3 Symbol Sense Is Foundational: Noting the Importance of Precise Notation
38(8)
Why the Use of Precise Notation Can Be Challenging
39(1)
Critical Notation to Be Learned in the Middle Grades
39(3)
Equal Sign
40(2)
Greater Than and Less Than Signs
42(1)
Commonly Used Notation in Middle School That Needs Attention
42(3)
Putting It All Together!
45(1)
Next Steps
45(1)
4 Mental Images That Last: Cohesive and Consistent Representations
46(23)
What Are Representations?
47(1)
Representations: Concrete, Semiconcrete, and Abstract
48(2)
Selecting Aligned and Consistent Representations
50(8)
Concrete Representations
50(3)
Semiconcrete and Abstract Representations
53(5)
Commonly Used Representations in Middle School
58(8)
Sharing With Stakeholders
66(2)
Putting It All Together!
68(1)
Next Steps
68(1)
5 Why Was I Taught That? Evaluating Rules That Expire
69(24)
What Are RTEs?
70(7)
Examples of RTEs
71(4)
Negative Impacts of Teaching RTEs
75(2)
Commonly Used RTEs in the Middle Grades
77(15)
Putting It All Together!
92(1)
Next Steps
92(1)
6 Building Generalizations: Developing Instructional Strategies the MWSA Way
93(18)
Generalizations Versus Rules
94(4)
Generalizations to Last a Lifetime
96(2)
Common Overgeneralizations Made by Middle School Students
98(3)
Instructional Strategies for Supporting Students in Developing Generalizations
101(8)
Tasks to Promote Generalizations
101(8)
Putting It All Together!
109(1)
Next Steps
110(1)
7 Embodying the MWSA in Every Lesson: No Teaching by Telling!
111(24)
Getting Ready to Implement an MWSA in Instruction
112(6)
Making Teacher Lesson- and Unit-Planning Time Nonnegotiable
113(1)
Using Appropriate and Vetted Resources
114(4)
Embodying Your Team's MWSA in Instructional Lessons and Units
118(14)
Language and Notation
120(2)
Representations
122(4)
Rules That Expire
126(4)
Generalizations
130(2)
Putting It All Together!
132(2)
Next Steps
134(1)
8 Getting to the Heart of the Matter: Building and Enacting the MWSA
135(16)
Enacting Change
136(6)
Collaborative Teamwork
136(1)
Planning for Change as a Team
136(6)
Moving MWSA Beyond Your School
142(7)
Establishing a Horizontally Articulated MWSA
143(3)
Establishing a Vertically Articulated MWSA
146(3)
Ensuring That All Stakeholders Are Involved
149(1)
Putting It All Together!
150(1)
Next Steps
150(1)
9 Sharing Successes From the Field: MWSA Heroes Tell Their Stories
151(11)
Examples of MWSAs in Action
152(9)
A Mathematics Coach Takes the Lead: Helping Change Direction
152(4)
One Educator Spearheads an MWSA in His School
156(3)
A Department Chair Coordinates a Process: Supporting Student Learning
159(2)
Next Steps: You're Ready for Action--Consider Change Often
161(1)
References 162(9)
Index 171
Dr. Sarah B. Bush, a former middle school mathematics teacher, is a Professor of K12 STEM Education and the Lockheed Martin Eminent Scholar Chair at the University of Central Florida. At the University of Central Florida, she is the Director of the Lockheed Martin/UCF Mathematics and Science Academy and is a program co-coordinator of the Mathematics Education PhD track. She teaches primarily graduate courses in mathematics education. She is a prolific writer who has authored 13 books and more than 100 journal articles and book chapters. Dr. Bush recently completed a term (20192022) as a member of the National Council of Teachers of Mathematics Board of Directors. She served as the lead writer and task force chair for NCTMs Catalyzing Change in Middle School Mathematics: Initiating Critical Conversations. Dr. Bush was the recipient of the 2021 School Science and Mathematics Association (SSMA) Award for Excellence in Integrating Science and Mathematics and 2018 recipient of the Association of Mathematics Teacher Educators (AMTE) Early Career Award. Dr. Bush seamlessly integrates her practical experience as a middle school mathematics teacher in public schools with her innovative scholarship to serve as an instructional leader in the field of mathematics education and STE(A)M education. Dr. Bush co-wrote the Simplifying STEM: Four Equitable Practices to Inspire Meaningful Learning: PreK-5 and 6-12 books published by Corwin in early 2024.



Karen S. Karp is a mathematics educator who focuses on the intersection of mathematics education and special education.  She is a former professor at Johns Hopkins University and at the University of Louisville where she is professor emerita. Early in her career she received a Development Award from the Joseph P. Kennedy, Jr. Foundation to support more seamless integration between general education and special education. She is the author or co-author of numerous publications including Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades and Elementary and Middle School Mathematics. Karen was on the writing team of the NCTM/CEC Joint position statement on Teaching Mathematics to Students with Learning Disabilities. In 2024, she chaired the Topic Study Group on Teaching Mathematics to Students with Special Needs at the International Congress on Mathematical Education in Australia. She holds teaching/administrative certifications in elementary education, secondary mathematics, K-12 special education, and K-12 educational administration. 



Barbara J. Dougherty is the past director of the Curriculum Research & Development Group and a professor in the College of Education at the University of Hawaii at Mãnoa. She is a former member of the board of directors of the National Council of Teachers of Mathematics and is the co-chair of the Mathematics/Special Education Workgroup, a partnership between the NCTM and the Council for Exceptional Children. She served on the author panel for the What Works Clearinghouse Practice Guide on assisting elementary school students who have difficulty learning mathematics for the U.S. Department of Education Institute of Education Sciences. She is the author or coauthor of approximately 22 book chapters, 29 articles, and 36 books, including MPower: A Pathway to Understanding Algebra. Her research, funded by more than $11.5 million in grants, emphasizes supporting students who struggle in middle and high school, with a focus on algebra. She holds teaching certifications in middle and high school mathematics and K12 special education.