Accelerating Math Achievement

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• Accelerating Math Achievement

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Standards Assessment Conference

• Las Vegas, NV
• April 2007

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The 5 Essentials

• Increasing student achievement
• in
• mathematics

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Rules in Mathematics

• Dont make sense!

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Rules

• Cant divide by zero
• Any to the zero power, except zero, is one
• Rules for exponents
• Rules for integers
• Dividing fractions

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Todays Agenda

• Philosophy Beliefs
• Student-teacher Relationships
• 5 Essentials

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Philosophy Beliefs

• Improving student achievement
• No simple answer
• What works is work!

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Philosophy Beliefs

• Success on Success
• Teach students how to learn effectively and
  efficiently.
• auditory
• visual
• kinesthetic
• Concentration times

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Philosophy Beliefs

• First test
• Over teach over learn strategy
• Teach students content
• Teach students their learning style
• Teach students how to study

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Studying

• Reading
• Thinking
• Reflecting
• Organizing
• Writing

• Analyzing
• Visualizing
• Reviewing
• Remembering
• Recalling

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Philosophy Beliefs

• Learning
• Students learn best when they are given feedback
  on their performance and praised for doing things
  well.

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Student-Teacher Relationships

• My Kid Standard

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Student-Teacher Relationships

• My Kid Standard
• Treat the kids in your school or classroom the
  same way you want your own kids treated.

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Student-Teacher Relationships

• Loyalty
• Many students will work for a teacher for no
  other reason than loyalty

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Student-Teacher Relationships

• Law of Reciprocity
• People you like, generally like you. People you
  dont like, generally dont like you.

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Good News!

• Teachers are already employing many of the
  best practices needed to increase student
  achievement.

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• Build on Strengths

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Professional Practices

• Teachers already employ best practices
• Homework
• Note taking
• Testing

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Whats needed?

• Refinement Reinforcement
• of those practices.

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Balance
Balance in mathematics has been defined as

•  
• Vocabulary Notation
• Concept Development Linkage
• Memorization of Important Facts Procedure
• Applications
• Appropriate Use of Technology

 Balance should be reflected in assessments and
in the delivery of instruction.
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Vocabulary Notation

• There is no more single important factor that
  effects student achievement than vocabulary and
  notation.

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Vocabulary

• Find the degree of
• 4x2y3z5

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Vocabulary

• Best Bet?
• Bet A
• Probability of winning is 3/5
• Bet B
• Odds of winning 3 to 5

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Language Acquisition

• Double meanings
• area
• volume
• operation
• power
• mean
• feet
• product

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Reading

• Assign reading
• Explicitly introduce vocabulary notation
• Preview reading
• Connect reading
• Check understanding of reading
• Correct their understanding
• Use paper pencil

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Writing

• Definitions
• Procedures
• Linkages
• Applications
• Compare contrast
• Describe what they understand
• Describe difficulty experienced
• Summarize
• Explain

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Classroom Oral Recitation

• Procedure Adding/Subtracting Fractions
• 1. Find a common denominator
• 2. Make equivalent fractions
• 3. Add/Subtract numerators
• 4. Bring down denominator
• 5. Reduce

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5 Essentials

• Organizing Student Learning by connecting
• Instruction
• Note taking
• Homework
• Quizzes/practice tests
• Tests

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1. Instruction

• What you teach affects student achievement
• How you teach it affects student achievement

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Subtraction
5 1 15 6 8 8 14 6
13 5 9 2 15 9 7 1
14 5 16 9 4 4 10 4
6 2 12 4 10 3 6 3

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Patterns Strategies

• 12 3
• 13 4
• 15 6
• 17 8

• 12 4
• 13 5
• 14 6
• 15 7

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Use simple straight forward examples that clarify
what you are teaching. Do not get bogged down
in arithmetic.
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Multiplication

• 32 43 62 54
• x 11 x11 x11 x11
• 352 473 682

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Simple Straight Forward Examples

• 7 5
• x1 1
• 7 5

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Multiplication

• 7 5
• x1 1
• 8 2 5

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Relevance
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Creating Interest, Enthusiasm in finding the
circumference
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Conceptual Development/Linkage

• Not a matter of if students are going to
  forget, its a matter of when they will forget.
• Student understanding comfort level
• Ability to reconstruct knowledge

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I cant teach __________because my kids dont
know__________
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Linking

• Introduce new concepts skills using familiar
  language
• Review and reinforce
• Compare and contrast
• Teach in a different context

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Linking
Add / Subtract Rational Expressions
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15
30
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1
19
3


5
4
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C

A
C
AD BC
A


D
BD
B
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Relations Functions
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Functions
Special relation in which no 2 ordered pairs
have the same 1st element.
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Cold Drinks
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C n x .50 .50n or y x
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2. Note taking
1 Memory Aid - Writing it Down Helps
students Complete homework assignments Prepare
for unit tests Prepare for high-stakes tests
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Note taking

• Be accommodating
• Be prescriptive directive
• Tell them what to write and where to write it.

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Rules and examples
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Title Date Objective Vocabulary
Notation Pattern Development Rule Examples Var
iation
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3. Homework

• Homework should reflect what you say you value.
• Vocabulary Notation
• Reading Writing
• Conceptual understanding Linkage
• Basic Facts Procedures
• Applications

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Homework

• Typical homework assignment
• P 270 1 32 odd

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Homework

• Read Sec 9.2 Expressions involving Logarithms
• Define logarithm
• Write a procedure for converting logarithms to
  exponentials
• Explain why when you multiply logs with the same
  base, you add the logs
• log (AB) log A log B
• P 270 1 33, multiples of 3

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4. Quizzes/Practice tests
Assess what you say you value Build
confidence Monitor student learning Preparation
Instruction Assessment Balance Cumulative
Questions Setting a Date
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5. Tests

• Balance
• Format
• Confidence trust

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Connecting

• Instruction to
• Note taking to
• Homework to
• Practice Tests/Quizzes to
• Tests

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Organizing Student Learning

• Tying instruction, note taking, homework,
  practice tests/quizzes, and tests together helps
  students study more effectively and efficiently
  resulting in increased student achievement