Upload
evan-watkins
View
216
Download
0
Tags:
Embed Size (px)
Citation preview
Supporting Students With Learning Disabilities
for Mathematical Success
Lake Michigan AcademyAmy Barto, Executive Director
Katie Thompson, Teacher
LMA Student Population
• Students with learning disabilities– 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
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 2007http://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
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
Representational
Abstract
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
• Problem Solving & Application– Touch Math– VanDeWalle– Solve It!– Factor Blocks
Fluency = Comfort
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
Visual Arts• Spatial Relations• Measurement• Estimation• Geometry• Visual Perception
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 MaterialsETA Cuiseniarehttp://www.etacuisenaire.com/ Exceptional InnovationsSolve It!: A Practical Approach to Teaching Mathematical
Problem Solving Skillshttp://www.exinn.net/solve-it.html Pearson AGS Globehttp://www.pearsonschool.com/index.cfm?locator=PSZ1Ai Key Curriculum Presshttp://www.keypress.com/
Other ResourcesLDA of Americahttp://www.ldaamerica.us/ National Library of Virtual Manipulativeshttp://nlvm.usu.edu/ The Algebra Projectwww.algebra.org Funbrainhttp://www.funbrain.com/math/index.html National Council for Teachers of Mathematicshttp://illuminations.nctm.org Wikispaceshttp://www.wikispaces.com