A Strategic Approach to Helping All Students Succeed in Mathematics

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A Strategic Approach to Helping All Students
Succeed in Mathematics Cissi Kale Dimension 2000
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Workshop Objectives
Share and model instructional strategies
that can help all students successfully
learn mathematics
Distribute High Achievement Math
Program materials and share ideas for their
effective use
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Discussion Topics
Work in groups. (Based on the past) Identify
three top issues impacting math achievement in
the elementary school.
(Looking at the future) Identify three
positive consequences GPS will bring to the
classroom.
Our charge Learn from the past and plan for
success in the future.
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The Five Stages ofLearning and
TeachingMathematics
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Five Stages
Knowledge
What is the rule for rounding a whole number?
Five or above give it a shove, Four or below
just dont go.
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Five Stages
Understanding
Explain how and why the rounding rule works.
The rounding algorithm determines whether a whole
number is left or right of the center of a range
of counting numbers determined by the designated
place value.
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Five Stages
Proficiency
Round each number to the place value given.
1) 4578 to the nearest ten2) 200405 to the
nearest hundred3) 6400001 to the nearest
million 4) 50033 to the nearest ten thousand
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Five Stages
Application
The costs of an oil change, transmission service,
and brake repair are 47.95, 63.99, and 129.00
respectively. Round each cost to the nearest ten
dollars and find the total of those values to
generate an approximate cost of service.
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Five Stages
Inclusion
Be sure to include the rounding process in the
math we teach all year.
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Five Stages of Learning
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Understanding Variable
Algebra War Games
Player A
x
y
Player B
Winning game rule
x y
x y
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Expressions and Words
Algebra War Games
Player A
x
y
Player B
xy 1
xy 1
2x y
Winning game rule
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Digit Products and Sums
The digit sum of 24 is 6 because 2 4 6
The digit productof 24 is 8 because 2 4 8
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Digit Products and Sums
Timed games and challenges
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Mental Math Strings

• Start with the number of angles in a hexagon
• Add the number of quarts in one gallon
• Square your result
• Subtract the number of degrees in a right angle
• Subtract the number of eggs in a half-dozen
• Square your answer.
• What is the answer?

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Developing Proficiency with Fractions
Games, timed games, and challenges
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The Nine StepApproach to TeachingGPS Math and
Ensuring Students Success
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Nine Components of Math Instruction
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Nine Components of Math Instruction
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Dimension 2000s High AchievementMath
Program Addresses All Nine Components
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1. My Math Dictionary
My Math Dictionary
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My Math Dictionary
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My Math Dictionary
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2. Mental Math Development
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Mental Math Strings
Start with the number of quarts in one gallon.
Add the number of sides in a hexagon.
Square your result.
Subtract the number of degrees in a right angle.
Multiply by the number of eggs in one-half dozen.
Divide by the number of degrees in one angle of
an equilateral triangle.
What is your answer?
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Mental Math Strings
Like your favorite vitamin, take one a day!
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3. Computation Proficiency and 4. Conceptual
Understanding
Dr. Thomass Daily Warm Ups and ComputationChall
enges
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Dr. Thomass Math Challenge 1
Find the sum of the whole number factors of 32.
A) 13 B) 31 C) 63 D) 72
1. 25 12 2. 76 19 3. 23 11
Numbers and Operations
Sixth Grade Warm-ups
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(No Transcript)
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(No Transcript)
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6. Problem Solving7. Connections between Content
Strands8. Real World Connections of Interest9.
Retention of Math Learned
Dr. Thomass  Daily Warm Ups Search and Solve
 P3CR Activities Math Breakdown
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Problem Solving
Search and Solve
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Problem Solving
Dr.
Thomass
P3CR
Paired-Learner math Activities
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Problem Solving
Math Breakdown
My Problem
Key words, concepts, skills
Problem
The product of 2 numbers is 60. Their difference
is 11. Find the 2 numbers.
Peers Solution
Solution
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High Achievement Math ProgramGrades 3 - 8
  My Math Dictionary
  Mental Math Strings
  Daily Warm ups (problem solving)
Daily Gray Band Computation Practice
  Computation Challenges and Progress Charts
(weekly)
Search and Solve Activities
P3CR Activities (weekly)
Math Breakdown (weekly)