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Bringing the Common Core Math Standards to Life: Exemplary Practices from High Schools 2nd edition [Kietas viršelis]

(University of New Orleans, USA), (University of New Orleans, USA)
  • Formatas: Hardback, 250 pages, aukštis x plotis: 254x178 mm, weight: 589 g, 46 Tables, black and white
  • Išleidimo metai: 28-Nov-2014
  • Leidėjas: Routledge
  • ISBN-10: 0415734746
  • ISBN-13: 9780415734745
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 250 pages, aukštis x plotis: 254x178 mm, weight: 589 g, 46 Tables, black and white
  • Išleidimo metai: 28-Nov-2014
  • Leidėjas: Routledge
  • ISBN-10: 0415734746
  • ISBN-13: 9780415734745
Kitos knygos pagal šią temą:
"As middle school math teachers shift to the Common Core State Standards, the question remains: What do the standards actually look like in the classroom? This book answers that question by taking you inside of real, Common Core classrooms across the country. You'll see how exemplary teachers are meeting the new requirements and engaging students in math. Through these detailed examples of effective instruction, you will uncover how to bring the standards to life in your own classroom! Special Features:A clear explanation of the big shifts happening in the classroom as a result of the Common Core State Standards, Real examples of how exemplary teachers are meeting the CCSS by teaching problem solving for different learning styles, proportional reasoning, the Pythagorean theorem, measurements, and more, A detailed analysis of each example to help you understand why it is effective and how you can try it with your own students, Practical, ready-to-use tools you can take back to your classroom, includingunit plans and classroom handouts"--

As high school math teachers shift to the Common Core State Standards, the question remains: What do the standards actually look like in the classroom? This book answers that question by taking you inside of real Common Core classrooms across the country. You’ll see how exemplary teachers are meeting the new requirements and engaging students in math. Through these detailed examples of effective instruction, you will uncover how to bring the standards to life in your own classroom!

Special Features:

  • A clear explanation of the big shifts happening in the classroom as a result of the Common Core State Standards
  • Real examples of how exemplary teachers are using engaging strategies and tasks to teach algebra, geometry, trigonometry, statistics, mathematics across the curriculum, and more
    A detailed analysis of each example to help you understand why it is effective and how you can try it with your own students
  • Practical, ready-to-use tools you can take back to your classroom, including unit plans and classroom handouts

Recenzijos

"The authors remind us that the Common Core State Standards for Mathematics do not represent brand new ideas, but rather build on more than two decades of work to improve mathematics teaching and learning. This practical resource underscores the importance of mathematical thinking and reasoning within the Common Core and shines a light on classrooms where teachers work to help all students learn mathematical habits of mind. Amidst a sea of confusion, chaos, and misinformation about the Common Core, the authors offer grounded advice about where to look for support and through real stories remind us that teachers are the key players in making the ambitious goals of the Common Core standards a reality for every student."

Cathy Seeley, Senior Fellow Emeritus, Charles A. Dana Center [ at The University of Texas at Austin]; Past President, National Council of Teachers of Mathematics

"Almost ten years of high school mathematics teaching has shown me that there is only one thing we as teachers can depend on: change. This book appropriately combines a detailed analysis of the changes to come with a robust set of real-life examples to support teachers in making the transition. Dr. Germain-McCarthy and Dr. Gill have provided a roadmap that not only explains what teachers can expect in the transition to the Common Core State Standards for Mathematics (CCSSM), but also paints a picture of successful CCSSM implementation through a variety of case-studies, thereby transforming the theoretical content presented in the new standards into techniques and activities that teachers can actually use in the classroom."

Tinashe Blanchet, National Presenter, Bureau of Education and Research and former secondary mathematics teacher

"This book would be ideal for both high school mathematics teachers and administrators. It allows the two groups to gain a better understanding of how to implement and assess lessons that address the goals of reform-oriented documents and the Common Core Standards. The inclusion of discussion points allows teachers and administrators to anticipate stakeholder and student concerns with the tasks and approach to teachinga benefit for all those making this transition. Another benefit is the inclusion of the actual tasks with enough description of content for those who might not be familiar with, for example, sampling distributions. (One task may be too teacher-directed for any real discovery learning.)"

Natasha E. Gerstenschlager, Middle Tennessee State University, Murfreesboro, TN

Acknowledgments ix
Foreword x
About the Authors xi
Preface xiii
1 Trends and Issues Leading to the Common Core State Standards 1(23)
Curriculum and Evaluation Standards
2(1)
Professional Standards for Teaching Mathematics
2(1)
The Assessment Standards
3(7)
The Third International Mathematics and Science Study
4(1)
Trends in International Mathematics and Science Study
5(1)
Program for International Student Assessment
5(3)
Constructivism
8(1)
Skills for Citizens of the Twenty-first Century
9(1)
Productive Struggle
9(1)
Principles and Standards for School Mathematics
10(1)
NCTM's Quest for a Coherent Curriculum
11(1)
Curriculum Focal Points
11(1)
Focus in High School Mathematics
11(1)
The Common Core State Standards
11(8)
The Common Core State Standards for Mathematics (CCSSM)
12(7)
Principles to Actions: Ensuring Mathematical Success for All
19(5)
2 Exemplary Practice: What Does It Look Like? 24(15)
Envisioning a Reform-based Classroom Environment
26(6)
Example One: Reformed-based Instruction?
26(5)
Example Two: Traditional Instruction?
31(1)
Exemplary Practices
32(7)
3 Michael Lehman: Group Performance Assessments 39(25)
Discussion between Colleagues
45(5)
Commentary
50(12)
Unit Overview
62(1)
Resources
63(1)
4 Mark Lonergan: The Mathematics of the Theater 64(29)
Background on the Project
65(1)
Preparing for the Launch
65(5)
The Launch
70(14)
Discussion between Colleagues
84(5)
Commentary
89(2)
Unit Overview
91(1)
Resources
92(1)
5 Henry Kranendonk: Raisin Geometry—Exploring the Balance Point and Its Applications 93(11)
Discussion between Colleagues
98(2)
Commentary
100(2)
Unit Overview
102(1)
Resources
103(1)
6 Virginia Highstone: Equations That Model Growth and Decay 104(13)
Discussion between Colleagues
109(4)
Commentary
113(2)
Unit Overview
115(1)
Resources
116(1)
7 Craig Jensen: A Dice Game for Engaging Teachers in Discourse 117(16)
Background
117(11)
Warm-up
118(2)
Launch
120(1)
Explore—Part A: Patterns in Products of Polynomials
121(1)
Explore—Part B: Patterns in Factors of Polynomials
122(1)
Explore—Part C: Back to Dice
123(4)
Summarize Content
127(1)
Summarize—Pedagogy
127(1)
Discussion between Colleagues
128(1)
Commentary
129(2)
Unit Overview
131(1)
Resources
132(1)
8 Ben Preddy: Integrating Mathematics with Literacy 133(11)
Discussion between Colleagues
139(1)
Commentary
140(2)
Unit Overview
142(1)
Resources
143(1)
9 Murray Siegel: Discovering the Central Limit Theorem 144(10)
Discussion between Colleagues
149(2)
Commentary
151(1)
Unit Overview
152(1)
Resources
153(1)
10 Susan Morere, Mary Ann Bates, Nezha Whitecotton, and Angela Guthrie: A Lesson Study on Real-World Applications of the Trigonometric Ratios 154(39)
Background
154(1)
Lesson Study
155(1)
University of New Orleans' Lesson Study Process
156(26)
Lesson Study across Content Areas and Schools
156(2)
The Lesson Study Open House
158(6)
Launching the Lesson
164(1)
Exploration
165(4)
Summary
169(4)
Lesson Study Colloquium
173(9)
Appendix 10.1: Lesson Study Open House
182(9)
Appendix 10.2: Reflection on Lesson Study Implementation at Patrick Taylor
191(1)
Resources
191(2)
11 Claudia Carter: How a Rumor Spreads—An Introduction to Logistic Curves 193(10)
Discussion between Colleagues
198(1)
Commentary
199(2)
Unit Overview
201(1)
Resources
202(1)
12 Teachers Adapting Tasks to Closely Align to CCSSM 203(28)
Carol Lavery: Constructing an Equilateral Triangle, Fairfax High School, Virginia
206(8)
Summary
211(1)
Anecdotal Findings
211(1)
Note to Readers
212(2)
Rick Barlow: Composition of Functions, Fremont High School, Sunnyvale, California
214(3)
NCTM Process Standard: Problem Solving
214(2)
The Overall Outcome
216(1)
What I Would Change for Next Time
216(1)
Cheryl Tokarski: Exploring Absolute Value, Chase Collegiate School, Waterbury, Connecticut
217(2)
Holly Erwin-Harding: Calculating Areas of Irregular Figures, Blacksburg New School, Blacksburg, Virginia
219(3)
Summary
221(1)
Andrew Winstead and Uriel Rodriguez: Quadratic Models for Real-Life Data from Hurricane Katrina, New Orleans Math and Science Charter School
222(6)
Original Task
222(1)
Adapted Task
223(3)
Procedures
226(1)
Summary
227(1)
Caroline Delaney: What Would Struggling Students Like to Know about Linear Equations? Warren Easton Charter High School
228(2)
Original Task
228(1)
Multiple-Choice Assessment with Challenging Tasks
229(1)
Resources
230(1)
13 Don Crossfield: Marching from Algebra to Trigonometry and Beyond 231(12)
Discussion between Colleagues
235(4)
Commentary
239(2)
Unit Overview
241(1)
Resources
242(1)
14 The CCSSM: Making It Happen 243(2)
CCSSM: New Way for Teaching Math?
243(1)
Guidelines and Recommendations for Implementing CCSSM
244(1)
References 245
Yvelyne Germain-McCarthy is Professor Emerita of mathematics education at the University of New Orleans. She is a frequent speaker at conferences and a consultant to school districts.

Ivan P. Gill is Assistant Professor and Science Education Coordinator at the University of New Orleans, where he has taught elementary and secondary science methods courses.