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Routines for Reasoning: Fostering the Mathematical Practices in All Students [Pehme köide]

  • Formaat: Paperback / softback, 208 pages, kõrgus x laius x paksus: 231x185x15 mm, kaal: 431 g
  • Ilmumisaeg: 27-Sep-2016
  • Kirjastus: Heinemann Educational Books,U.S.
  • ISBN-10: 0325078157
  • ISBN-13: 9780325078151
Teised raamatud teemal:
  • Formaat: Paperback / softback, 208 pages, kõrgus x laius x paksus: 231x185x15 mm, kaal: 431 g
  • Ilmumisaeg: 27-Sep-2016
  • Kirjastus: Heinemann Educational Books,U.S.
  • ISBN-10: 0325078157
  • ISBN-13: 9780325078151
Teised raamatud teemal:
Routines can keep your classroom running smoothly. Now imagine a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Original. Rather than being a barrier to those who cant, the practices actually provide opportunity for all students to engage successfully with mathematics. -Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools, including: Capturing Quantities: encouraging abstract and quantitative reasoning Connecting Representations: noticing and using mathematical structure Recognizing Repetition: developing repeated reasoning skills Three Reads: starting and sustaining thinking in problem solving situations Each routine provides a familiar, accessible structure that supports repeated use until the steps to follow, thinking skills to employ, and questions to ask become automatic-enabling all students to engage more fully in learning opportunities while building crucial mathematical thinking habits. Teaching students to think and reason is perhaps the greatest challenge we face as math educators, the authors remind us, and these routines provide clear pathways to do so. Far beyond simply a collection of strategies, Routines for Reasoning provides significant support for getting started with these routines, incorporating them into the rhythm of your classroom, and ultimately building toward student independence.
Foreword ix
Magdalene Lampert
Acknowledgments xiii
Preface xv
1 Using the Math Practices as a Means to Provide Access to Rich Mathematical Reasoning
1(17)
Why Should I Pay Attention to the Math Practices?
1(1)
Not All Math Practices Are Created Equal
2(8)
Using the Math Practices as Opportunities, Not Hurdles
10(3)
Five Guiding Principles of Instruction That Promote the Math Practices
13(4)
Addressing the Challenge Through the Use of Instructional Routines
17(1)
2 Instructional Routines: A Vehicle for Developing Mathematical Practices in All Students
18(23)
Why Use Instructional Routines to Develop the Math Practices?
19(2)
Core Elements of the Instructional Routines
21(7)
Four Essential Instructional Strategies in the Routines
28(10)
Familiarizing Yourself with the Routines
38(3)
3 Capturing Quantities: An Instructional Routine to Support Students Reasoning Abstractly and Quantitatively
41(32)
What Does It Mean to "Reason Abstractly and Quantitatively"?
42(6)
An Overview of the Capturing Quantities Routine
48(9)
Capturing Quantities in Action
57(14)
Important Takeaways
71(2)
4 Connecting Representations: An Instructional Routine to Support BL Students Thinking About and with Mathematical Structure
73(26)
What Does It Mean to "Think Structurally"?
75(3)
An Overview of the Connecting Representations Routine
78(9)
Connecting Representations in Action
87(11)
Important Takeaways
98(1)
5 Recognizing Repetition: An Instructional Routine to Support Students' Repeated Reasoning
99(29)
What Is "Repeated Reasoning"?
101(3)
An Overview of the Recognizing Repetition Routine
104(8)
Recognizing Repetition in Action
112(14)
Important Takeaways
126(2)
6 Three Reads: An Instructional Routine to Support Students Entering and Sustaining Thinking in a Problem
128(22)
Entering a Problem and Sustaining the Thinking: Two Key Ideas of Math Practice 1
129(3)
An Overview of the Three Reads Routine
132(7)
Three Reads in Action
139(9)
Deciding When and How to Have Students Reflect
148(1)
The Important Takeaway
149(1)
7 Making It Routine: Implementing Instructional Routines
150(29)
Before You Start
150(1)
Getting Started
151(7)
Planning in Depth
158(14)
Moving Beyond the Routine
172(4)
Our Parting Words of Encouragement
176(3)
Appendices
179(8)
A Avenues of Thinking: A Framework for Making Sense of Several CCSS Standards for Mathematical Practice
179(1)
B Sample Presentation Slides
180(2)
C Sample Tasks for the Capturing Quantities Routine
182(1)
D Sample Tasks for the Connecting Representations Routine
183(2)
E Sample Tasks for the Recognizing Repetition Routine
185(2)
References 187