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MATHEMATICS

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by

Sally Warburton

on 8 May 2015

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Transcript of MATHEMATICS

MATHEMATICS
HOW CAN YOU DEVEOP A STUDENT'S MATH FOUNDATION?
Effective Instruction!!
Teach students to be math literate.
Provided sufficient guided and independent practice with math concepts.
Similar acquisition
Explicit instruction
Practice with a group and individually
Guidance
Foundation or basic knowledge is necessary for comprehension and growth
STUDENTS WITH MILD DISABILITIES
Holes in mathematical literacy and understanding
Limited mastery of skills and no support in developing basic concepts


What areas of math can lack support and understanding?
DIFFERENCE.....
The type of difficulty a student experiences when learning mathematics differs from reading and writing difficulties.
HOW IS MATH SIMILAR TO READING AND WRITING?
TEN AREAS OF MATHEMATICS STANDARDS
PROCESS
CONTENT
Numbers and operation
Algebra
Geometry
Measurement
Data Analysis
Problem Solving
Reason and proof
Communication
Connections
Representation
FOUNDATIONAL CONCEPTS AND SKILLS
Number sense
One-to-one correspondence
Relational concepts
Place value
Classification
Counting
BASIC COMPUTATION CONCEPTS AND SKILLS
VOCABULARY FOR COMPUTATION
:

Addition Sum
Subtraction Difference
Multiplication Product
Division Quotient
EFFECTIVE INSTRUCTION
Concrete...Semi-concrete....Abstract
Link concepts and skills
Task Analysis
Conceptual foundations of mathematics
ADDITION AND SUBTRACTION
Commutative Property

Promote automatic recall
MULTIPLICATION
Counting by
Patterns
Derived facts
"Split-adds"
DIVISION
Division facts
Distributive property
Inverse operation to multiplication

MEMORIZING CALCULATION FACTS
Can reduce errors and improve comprehension

Automaticity


Students with mild disabilities can benefit from drills and practice to improve recall.

USING A CALCULATOR
Can help a students with mild disabilities.

Issues with retaining information in memory
Attention difficulties.

OTHER BASIC SKILLS
Estimation
Rounding to compatible numbers
Front end-estimation
BIG IDEAS!!!
Place value
Associative property
Rate of composition or decomposition
Expanded notation
Distributive property
Commutative property
Equivalence
PROBLEM SOLVING
Students with mild disabilities have been denied participation...
Calculations are embedded

Students with mild disabilities can have difficulty with....
Motivation
Mathematical literacy and embedded literacy tasks
Confound story problems
Complex math tasks
APPROACHES TO MATH INSTRUCTION
PALS

Direct instruction

Explicit instruction
SKILLS THAT BUILD ON NUMERACY AND CALCULATION
Fractions
Learning parts of a whole.
Can develop an understanding of proportions, ratio, and probability.

Students with mild disabilities have difficulty because factions are abstract.

Decimals
Can be easier than factions
Students must be knowledgeable about place value.
HELPFUL TIPS FOR PROBLEM SOLVING
Teach cue words
Make sure students have the appropriate levels of reading literacy
Avoid confound story problems
Be mindful of complex math tasks
MATH CURRICULA
Methodical instruction for teaching specific skills
Order and sequencing in instruction of concepts
Initiate and review prior knowledge and skills
Go beyond the text book
CRITICAL ELEMENTS OF EFFECTIVE CURRICULA
Reteaching

"Big ideas"

Combination of timed drills and learning strategies

Seven Principles of Intensive Instruction

FOR STUDENTS WITH MILD DISABILITIES OR A MATH RELATED DISABILITY
1. Ongoing progress monitoring
2. Drill and practice
3. Instructional explicitness
4. Instructional design to minimize learning challenges
5. Cumulative review
6. Systematic motivation to promote self-regulation and encourage students to work hard
7. conceptual foundation
ABOVE ALL....
MAKE IT MEANINGFUL!!!!!!!!!
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