Transcript Supporting Students for Mathematical Success

Supporting Students With
Learning Disabilities
for Mathematical Success
Lake Michigan Academy
Amy Barto, Executive Director
Katie Thompson, Teacher
LMA Student Population
• Students with learning
disabilities
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Basic Reading
Reading Fluency
Reading comprehension
Written expression
Math Calculation
Math Problem Solving
Oral Expression
Listening Comprehension
• Students with ADHD
– Processing Speed Index of
less than 85
– Significant academic
weakness in reading
comprehension, writing or
mathematics
Hierarchy of Learning
Abstract
Representational
Concrete
Michigan Curriculum Framework
Vision Statement
Mathematics is the science of patterns and
relationships. It is the language and logic of our
technological world.
Mathematical power is the ability to explore, to
conjecture, to reason logically and to use a
variety of mathematical methods effectively to
solve problems.
The ultimate goal of mathematics education is for
all students to develop mathematical power to
participate fully as a citizen and worker in our
contemporary world.
To Prepare Students for Algebra:
• Mathematics curriculum must simultaneously
develop:
– conceptual understanding
– computational fluency
– AND problem-solving skills.
• The development of these concepts and skills is
intertwined, each supporting the other and
reinforcing learning.
- National Math Panel, January 2007
http://dww.ed.gov/topic/?T_ID=20
Teachers Role:
• providing students with sufficient practice
distributed over time
• including a conceptually rich and varied mix of
problems to support their learning
• encourage and support students in their efforts
to master difficult mathematics content
• Students who believe that effort, not just
inherent talent, counts in learning mathematics
can improve their performance.
Algebra
»Symbols and Expressions,
»Linear Equations,
»Quadratic Equations,
»Functions,
»Algebra of Polynomials, and
»Combinatorics and Finite Probability
Best Practices for Math Learning
Concrete
Abstract
Representational
Implementation of Best Practices
Requires access to concrete supports at ALL
age levels to reinforce learning.
Mathematics is the science of
patterns and relationships.
It is the language and logic of
our technological world.
Scaffolding Comprehension for the
Science and Language of Math
• Graphic Organizers in Math
– “Cheat Sheets”
– Categorization
– Abbreviations & Symbols
– Spatial Awareness
– Scripts/Routines for Solving Problems
• Need support in identifying the variance in types of
math problems
Mathematical power is the
ability to explore, to
conjecture, to reason
logically and to use a variety
of mathematical methods
effectively to solve problems.
Scaffolding Exploration and
Effective Application
– Solve It!
– Algeblocks
– Algebra Tiles
Concrete
Abstract
Representational
The ultimate goal of mathematics
education is for all students to
develop mathematical power to
participate fully as a citizen and
worker in our contemporary world.
Participation Expectations
Should Vary
• Elementary
– Everything is unknown.
– Numbers define the world around us.
– Development of effective strategies and fluency.
• Junior High
– Application in multiple settings.
– Exploring Symbolic Representation.
• High School
– Application to the world around us.
– Symbolic Representation.
– Working to Independence.
Elementary & Junior High
• Calculation
– Touch Math
– Tens Blocks
– Factor Blocks
Fluency = Comfort
• Problem Solving &
Application
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Touch Math
VanDeWalle
Solve It!
Factor Blocks
Junior High - Algebras
• Problem Solving
– Algeblocks
– Algebra Tiles
– Linking Concepts
to Vocabulary
• Instructional
Resources
– AGS Publishing
– Key Math
Curriculum Press
One Application of MCF Vision:
Core Classes
• Developmentally
Focused
• Student Centered
• Big Ideas
• Problem Solving
• Preparation for Higher
Math
• Graded Assessments
Math Labs
• Skill development
• Problem Solving
• Ratio & Proportion
• Statistics
• Probability
Additional Areas for Supporting
Math Skills Development
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Visual Arts
Spatial Relations
Measurement
Estimation
Geometry
Visual Perception
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Performing Arts
Patterning
Sequencing
Motor Planning
Non-verbal
Interpretation
Spatial Awareness
Sources
• Brown, C. A Roadmap for Math
Achievement for All Students. Center for
Comprehensive School Reform and Instruction.
• National Math Panel Reports, Jan. 2007.
• VanDerHeyden, A. RTI and Math
Instruction. RTI Action Network.
Resources
• Sousa, David. How the Brain Learns
Mathematics. 2007.
• The Van de Walle Professional
Mathematics Series
Some Sources for Materials
ETA Cuiseniare
http://www.etacuisenaire.com/
Exceptional Innovations
Solve It!: A Practical Approach to Teaching Mathematical
Problem Solving Skills
http://www.exinn.net/solve-it.html
Pearson AGS Globe
http://www.pearsonschool.com/index.cfm?locator=PSZ1Ai
Key Curriculum Press
http://www.keypress.com/
Other Resources
LDA of America
http://www.ldaamerica.us/
National Library of Virtual Manipulatives
http://nlvm.usu.edu/
The Algebra Project
www.algebra.org
Funbrain
http://www.funbrain.com/math/index.html
National Council for Teachers of Mathematics
http://illuminations.nctm.org
Wikispaces
http://www.wikispaces.com