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Fluency Doesn't Just Happen with Addition and Subtraction: Strategies and Models for Teaching the Basic Facts [Kõva köide]

(Newton Educational Consulting, USA), ,
  • Formaat: Hardback, 304 pages, kõrgus x laius: 254x178 mm, kaal: 1750 g, 96 Tables, black and white; 339 Line drawings, black and white; 339 Illustrations, black and white
  • Ilmumisaeg: 12-Nov-2019
  • Kirjastus: Routledge
  • ISBN-10: 0367151839
  • ISBN-13: 9780367151836
  • Formaat: Hardback, 304 pages, kõrgus x laius: 254x178 mm, kaal: 1750 g, 96 Tables, black and white; 339 Line drawings, black and white; 339 Illustrations, black and white
  • Ilmumisaeg: 12-Nov-2019
  • Kirjastus: Routledge
  • ISBN-10: 0367151839
  • ISBN-13: 9780367151836

Fluency in math doesn’t just happen! It is a well-planned journey. In this book, you’ll find practical strategies and activities for teaching your elementary students basic addition and subtraction facts. The authors lay out the basic framework for building math fluency using a cycle of engagement (concrete, pictorial, abstract) and provide a multitude of examples illustrating the strategies in action.

You’ll learn how to:

  • help students to model their thinking with a variety of tools;
  • keep students engaged through games, poems, songs, and technology;
  • assess student development to facilitate active and continuous learning;
  • implement distributed practices throughout the year;
  • boost parental involvement so that students remain encouraged even as material becomes more complex.

A final chapter devoted to action plans will help you put these strategies into practice in your classroom right away. Most importantly, you’ll open the door to deep and lasting math fluency.

Meet the Authors xiii
Preface xv
Acknowledgments xix
Part I Introduction
1(32)
1 Introduction
3(16)
Introduction
3(1)
Dolch Words of Math
4(1)
Strategy Talk
5(1)
Cycle of Engagement: Concrete, Representational, Abstract
6(2)
Making the Connection between Addition and Subtraction
8(1)
21st Century Components
9(1)
Purposeful Practice
10(1)
Accountability
11(1)
Engaging Approaches
12(1)
Math Literature
13(1)
Research Connection
13(1)
Gamification
14(2)
Key Points
16(1)
Summary
16(1)
Reflection Questions
16(1)
References
16(3)
2 Modeling Math Facts
19(14)
Research Connection: Consistently Use Tools
20(1)
Research Connection: A Hands-On Approach
21(1)
Strategies and Models
22(2)
Classroom as a Tool Kit
24(1)
Individual Student Tool Kits
25(3)
Teacher's Tool Kit
28(1)
Digital Tool Kit
29(1)
Anchor Charts
30(1)
Key Points
31(1)
Summary
31(1)
Reflection Questions
31(1)
References
31(2)
Part II Introduction to Exploring and Learning
Addition Strategies
33(2)
3 Exploring and Learning Addition Facts within 10
35(52)
Introduction
35(1)
Commutative Property of Addition
36(1)
Exploring and Learning to Add 1
37(8)
Exploring and Learning How to Add 0
45(8)
Exploring and Learning to Add 2 and 3
53(9)
Exploring and Learning Adding within 5 and Making 5
62(7)
Exploring and Learning to Add within 10
69(9)
Exploring and Learning Making 10
78(8)
Key Points
86(1)
Summary
86(1)
Reflection Questions
86(1)
References
86(1)
4 Exploring and Learning Facts above 10
87(48)
Exploring and Learning Doubles
88(10)
Teaching and Learning Doubles Plus 1 Facts
98(8)
Exploring and Learning Doubles Plus 2
106(10)
Exploring and Learning Add 10
116(8)
Exploring and Learning Bridging 10 with 7, 8, or 9
124(10)
Key Points
134(1)
Summary
134(1)
Reflection Questions
134(1)
References
134(1)
Part III Introduction to Exploring and
Learning Subtraction Strategies
135(2)
5 Exploring and Learning Subtraction within 10
137(56)
Exploring and Learning How to Subtract 0
139(7)
Exploring and Learning How to Subtract 1
146(8)
Exploring and Learning Subtract a Number from Itself
154(7)
Exploring and Learning Subtract within 5
161(8)
Exploring and Learning Subtract from 5
169(7)
Exploring and Learning Subtract within 10
176(9)
Exploring and Learning Subtract from 10
185(7)
Key Points
192(1)
Summary
192(1)
Reflection Questions
192(1)
References
192(1)
6 Exploring and Learning Subtraction within 20
193(38)
Exploring Subtract 10 from a Teen Number and 1 from a Teen Number
194(8)
Exploring and Learning to Subtract Half Facts
202(6)
Exploring and Learning How to Subtract by Bridging 10 with Higher Facts
208(9)
Subtracting Higher Facts: Fact Families
217(5)
Exploring and Learning to Subtract from 20
222(8)
Key Points
230(1)
Summary
230(1)
Reflection Questions
230(1)
References
230(1)
Part IV Other Crucial Elements
231
7 Assessing Basic Fact Fluency
233(21)
Assessing Conceptual Understanding
234(1)
Research Connection
234(2)
Assessing Procedural Fluency
236(2)
Assessing Adaptive Reasoning
238(3)
Strategic Competence
241(1)
Productive Disposition
242(1)
Research Connection: Productive Struggle
243(8)
Key Points
251(1)
Summary
251(1)
Reflection Questions
251(1)
References
252(2)
8 Doing Daily Fluency Routines
254(13)
Number Flex 1 Subitizing
255(1)
Number Flex 2 What Doesn't Belong?
256(1)
Number Flex 3 I Was Walking Down the Street
257(1)
Number Flex 4 Number Talks
258(1)
Number Flex 5 True or Fake?
259(1)
Number Flex 6 I Love Math
260(1)
Number Flex 7 Virtual Dice
261(1)
Number Flex 8 Splat!
262(1)
Number Flex 9 The Power of Color
263(1)
Number Flex 10 Circle Map Facts
264(1)
Key Points
265(1)
Summary
265(1)
Reflection Questions
265(1)
References
266(1)
9 Parental Involvement
267(9)
Making the Most of the Home-School Connection
267(1)
Getting Parents on Board
268(1)
Sharing the Strategies
269(3)
Addressing Parental Concerns
272(1)
Parents as Partners
273(1)
Key Points
274(1)
Summary
274(1)
Reflection Questions
274(1)
References
274(2)
10 Action Plan
276
Mission Statement
277(1)
Fluency Vision Statements
278(1)
Fluency Plans and Template
279(5)
Key Points
284(1)
Summary
284(1)
Reflection Questions
284
Dr. Nicki Newton has been an educator for 30 years, working both nationally and internationally with students of all ages. She has worked on developing Math Workshops and Guided Math Institutes around the country; visit her website at www.drnickinewton.com. She is also an avid blogger (www.guidedmath.wordpress.com), tweeter (@drnickimath), and Pinterest pinner (www.pinterest.com/drnicki7).

Ann Elise Record has been an educator for over 18 years as a classroom teacher, math coach and specialist, adjunct faculty member of Plymouth State University, and, currently, as a national speaker and independent math consultant. She can be found on Facebook (www.facebook.com/groups/2022849141262766/) facilitating the Math Running Records group as well as on Twitter (@AnnEliseRecord).

Dr. Alison J. Mello has been in education for over 25 years as a classroom teacher, math specialist, director of curriculum, and, currently, as the Assistant Superintendent of Foxborough Public Schools, MA. In addition to her work in the district, Alison is a national speaker, math consultant, and graduate instructor of in-service teachers. She can be found on Twitter (@alisonmellomath).