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Numeracy for All Learners: Teaching Mathematics to Students with Special Needs [Kõva köide]

  • Formaat: Hardback, 224 pages, kõrgus x laius: 232x186 mm, kaal: 590 g
  • Sari: Math Recovery
  • Ilmumisaeg: 02-Nov-2020
  • Kirjastus: Corwin UK
  • ISBN-10: 1526491966
  • ISBN-13: 9781526491961
  • Formaat: Hardback, 224 pages, kõrgus x laius: 232x186 mm, kaal: 590 g
  • Sari: Math Recovery
  • Ilmumisaeg: 02-Nov-2020
  • Kirjastus: Corwin UK
  • ISBN-10: 1526491966
  • ISBN-13: 9781526491961
Numeracy for All Learners is a wide-ranging overview of how Math Recovery (R) theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs.

Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs.

Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs.

It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs form Pre-K through secondary school.

Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework.

About the Authors xiii
Acknowledgements xv
Foreword xvii
Robert J. Wright
Introduction xix
1 The Learning Framework in Number for the Classroom
1(4)
Conceptual Understandings and Conventions of Mathematics
2(2)
Conclusion
4(1)
2 Professional Principles and Practices
5(14)
CEC Code of Ethics
6(1)
CEC Standards for Professional Practice
7(2)
Adding It Up: Helping Children Learn Mathematics
9(3)
Standards for Mathematical Practice
12(3)
Principles to Actions: Ensuring Mathematical Success for All
15(3)
Conclusion
18(1)
3 Good Instruction for All Students
19(16)
Guiding Principles for Classroom Teaching
19(4)
Key Elements of Intensive One-to-One Instruction
23(7)
Dimensions of Mathematization
30(2)
Characteristics of Children's Problem Solving
32(2)
Conclusion
34(1)
4 Numeracy and Functional Mathematics
35(16)
What Is Functional Mathematics?
35(1)
Academic Standards and Functional Goals
36(1)
Money
37(8)
Telling Time
45(2)
Domestic Skills
47(1)
Recreation
48(2)
Conclusion
50(1)
5 Assessing Students with Disabilities
51(24)
Universal Screening
51(1)
Administering Assessments
52(2)
Number Words and Numerals
54(4)
Counting, Addition, and Subtraction Strategies
58(3)
Structuring: Non-count-by-one Strategies
61(3)
Conceptual place value, addition, and subtraction to 100
64(3)
Multiplication and Division
67(2)
Fractions
69(4)
Conclusion
73(2)
6 Using the Learning Framework in Number to Write Individualized Education Programs
75(8)
Individualized Education Programs, the Learning Framework in Number, and the Teaching and Learning Cycle
75(2)
Sample Benchmarks or Objectives
77(5)
Conclusion
82(1)
7 Brain Research: Implications for Teaching and Learning Mathematics
83(14)
Introduction
84(1)
The Neural Anatomy of the Neocortex
85(1)
The Sensorimotor Cortex
85(1)
The Frontal Lobe and Working Memory
86(1)
The Parietal Lobe and Spatial-Numerical Reasoning
87(1)
Frontal-to-Parietal Shift
88(1)
Supporting Mathematical Development
88(4)
Maintaining Cognitive Demand
92(1)
Increasing Cognitive Demand
93(1)
Accommodations for Students with Limited Working Memory
93(1)
Developing New Structures and Addressing Dyscalculia
94(2)
Dimensions of Mathematizing
96(1)
Conclusion
96(1)
8 Dyscalculia
97(10)
Definitions and Theories
97(3)
Subitizing
100(1)
Subitizing and Comparing Quantities
100(1)
Counting and Comparing Quantities
101(2)
Labeling a Quantity with a Number Word or Numeral
103(1)
Development of a Mental Number Line
103(3)
Conclusion
106(1)
9 Differentiating Instruction
107(16)
Why Differentiate?
108(1)
Differentiating for Students' Diverse Ways of Thinking
109(2)
Five Teaching Practices to Differentiate Instruction
111(2)
More about Practice 2: Providing Purposeful Choices and Different Pathways
113(7)
Recommendations about Differentiating Instruction
120(2)
Conclusion
122(1)
10 Teaching Students with Disabilities
123(22)
Considerations for Assessment Accommodations and Modifications
126(1)
Considerations for Instructional Accommodations and Modifications
127(1)
Number Words and Numerals
127(1)
Counting, Addition, and Subtraction Strategies
128(2)
Structuring: Non-count-by-one Strategies
130(1)
Conceptual Place Value, Addition, and Subtraction to 100
131(7)
Multiplication and Division
138(1)
Fractions
139(4)
Conclusion
143(2)
11 The Constructivist as Teacher
145(10)
Constructivism
147(1)
Constructivism in Education
147(2)
Constructivist Teaching for Students with Disabilities
149(4)
Conclusion
153(2)
12 Supporting Students with Other Special Needs
155(14)
Students from Historically Marginalized and Systemically Underserved Groups
156(1)
Students Living in Poverty
157(1)
Homeless Students and Those in Temporary Housing Situations
158(1)
English Language Learners/English Learners
158(4)
Culturally Responsive Teaching
162(1)
Gifted Students
163(1)
Mathematics Anxiety
164(1)
Developing a Mathematical Mindset
165(1)
Math Recovery as a Vehicle for Improved Equity of Access to Quality Educational Opportunities
166(2)
Conclusion
168(1)
Note
168(1)
Glossary 169(12)
References 181(16)
Index 197
 Dr. Pamela D. Tabor holds a Bachelor of Science degree in elementary education and Bible from Kentucky Christian University, a Master of Arts degree in elementary education from East Tennessee State University, and a Doctor of Philosophy in mathematics education from Southern Cross University. Her supervisor was Robert J. Wright, the developer of Mathematics Recovery. She has recently worked as Research and Evaluation Specialist for the US Math Recovery Council in which she has had the pleasure of working with instructional leaders from districts around the US and internationally to think deeply about the impact of Math Recovery in their school contexts. Previously, she spent nearly two decades as a school-based math specialist, interventionist and instructional coach. In that capacity she worked with administrators, teachers of mathematics, teachers of special education, students, and parents to improve the quality of mathematics instruction in a public elementary school in Maryland. She is also a coauthor of the Math Recovery series book Developing Number Knowledge, a contributor of Teaching Number in the Classroom with 48 year Olds, one of the original developers of USMRCs Add+VantageMR Professional Development Courses, and one of the developers of USMRCs Student Numeracy Assessment Progressions (SNAP).

Dawn Dibley, a special educator with thirty years of experience as a music therapist, classroom teacher, and mathematics coach, is currently an instructional coach for the US Math Recovery Council. From the time of her initial training as a Math Recovery Intervention Specialist in 2007, Dawn began exploring the use of the LFIN in teaching numeracy to students with disabilities. She spent several years facilitating the USMRCs Add+VantageMR Professional Development Courses to specifically address the concerns of teachers of students with special needs. She holds a Bachelors degree in Music Therapy and Masters degrees in Music Therapy and Developmental Cognitive Disabilities from the University of Minnesota.

Dr. Amy J. Hackenberg taught mathematics to middle and high school students for 9 years in L.A. and Chicago, prior to earning a Ph.D. in mathematics education from the University of Georgia. Amy is currently an associate professor of mathematics education at Indiana University-Bloomington. She conducts research on how middle school students construct fractions knowledge and algebraic reasoning and on how teachers can learn to develop productive student-teacher relationships. In her current project she is investigating how to differentiate instruction for diverse middle school students (see https://idream.sitehost.iu.edu/), studying her own teaching as well as working with practicing teachers. She is the proud co-author of the Math Recovery series book, Developing Fractions Knowledge.

Dr. Anderson Norton is a professor in the Department of Mathematics at Virginia Tech. His research focuses on building models of students mathematical development. This work has generated interdisciplinary collaborations with psychologists and neuroscientists. Prior to this volume, Norton served as chair of the steering committee for the North American Chapter of the International Group for the Psychology of Mathematics Education, co-editor on a pair of publications bridging psychology and mathematics education, and co-author of the Math Recovery series book, Developing Fractions Knowledge.