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Accelerating Math Achievement

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Title: Accelerating Math Achievement


1
  • Accelerating Math Achievement

2
Standards Assessment Conference
  • Las Vegas, NV
  • April 2007

3
The 5 Essentials
  • Increasing student achievement
  • in
  • mathematics

4
Rules in Mathematics
  • Dont make sense!

5
Rules
  • Cant divide by zero
  • Any to the zero power, except zero, is one
  • Rules for exponents
  • Rules for integers
  • Dividing fractions

6
Todays Agenda
  • Philosophy Beliefs
  • Student-teacher Relationships
  • 5 Essentials

7
Philosophy Beliefs
  • Improving student achievement
  • No simple answer
  • What works is work!

8
Philosophy Beliefs
  • Success on Success
  • Teach students how to learn effectively and
    efficiently.
  • auditory
  • visual
  • kinesthetic
  • Concentration times

9
Philosophy Beliefs
  • First test
  • Over teach over learn strategy
  • Teach students content
  • Teach students their learning style
  • Teach students how to study

10
Studying
  • Reading
  • Thinking
  • Reflecting
  • Organizing
  • Writing
  • Analyzing
  • Visualizing
  • Reviewing
  • Remembering
  • Recalling

11
Philosophy Beliefs
  • Learning
  • Students learn best when they are given feedback
    on their performance and praised for doing things
    well.

12
Student-Teacher Relationships
  • My Kid Standard

13
Student-Teacher Relationships
  • My Kid Standard
  • Treat the kids in your school or classroom the
    same way you want your own kids treated.

14
Student-Teacher Relationships
  • Loyalty
  • Many students will work for a teacher for no
    other reason than loyalty

15
Student-Teacher Relationships
  • Law of Reciprocity
  • People you like, generally like you. People you
    dont like, generally dont like you.

16
Good News!
  • Teachers are already employing many of the
    best practices needed to increase student
    achievement.

17
  • Build on Strengths

18
Professional Practices
  • Teachers already employ best practices
  • Homework
  • Note taking
  • Testing

19
Whats needed?
  • Refinement Reinforcement
  • of those practices.

20
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.
21
Vocabulary Notation
  • There is no more single important factor that
    effects student achievement than vocabulary and
    notation.

22
Vocabulary
  • Find the degree of
  • 4x2y3z5

23
Vocabulary
  • Best Bet?
  • Bet A
  • Probability of winning is 3/5
  • Bet B
  • Odds of winning 3 to 5

24
Language Acquisition
  • Double meanings
  • area
  • volume
  • operation
  • power
  • mean
  • feet
  • product

25
Reading
  • Assign reading
  • Explicitly introduce vocabulary notation
  • Preview reading
  • Connect reading
  • Check understanding of reading
  • Correct their understanding
  • Use paper pencil

26
Writing
  • Definitions
  • Procedures
  • Linkages
  • Applications
  • Compare contrast
  • Describe what they understand
  • Describe difficulty experienced
  • Summarize
  • Explain

27
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

28
5 Essentials
  • Organizing Student Learning by connecting
  • Instruction
  • Note taking
  • Homework
  • Quizzes/practice tests
  • Tests

29
1. Instruction
  • What you teach affects student achievement
  • How you teach it affects student achievement

30
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

31
Patterns Strategies
  • 12 3
  • 13 4
  • 15 6
  • 17 8
  • 12 4
  • 13 5
  • 14 6
  • 15 7

32
Use simple straight forward examples that clarify
what you are teaching. Do not get bogged down
in arithmetic.
33
Multiplication
  • 32 43 62 54
  • x 11 x11 x11 x11
  • 352 473 682

34
Simple Straight Forward Examples
  • 7 5
  • x1 1
  • 7 5

35
Multiplication
  • 7 5
  • x1 1
  • 8 2 5

36
Relevance
37
Creating Interest, Enthusiasm in finding the
circumference
38
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

39
I cant teach __________because my kids dont
know__________
40
Linking
  • Introduce new concepts skills using familiar
    language
  • Review and reinforce
  • Compare and contrast
  • Teach in a different context

41

Linking
Add / Subtract Rational Expressions
42
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43
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44
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45
15
30
46
1
19
3


5
4
47
C

A
C
AD BC
A


D
BD
B
48
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49
(No Transcript)
50
Relations Functions
51
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52
Functions
Special relation in which no 2 ordered pairs
have the same 1st element.
53
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54
Cold Drinks
55
C n x .50 .50n or y x
56
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57
2. Note taking
1 Memory Aid - Writing it Down Helps
students Complete homework assignments Prepare
for unit tests Prepare for high-stakes tests
58
Note taking
  • Be accommodating
  • Be prescriptive directive
  • Tell them what to write and where to write it.

59
Rules and examples
60
Title Date Objective Vocabulary
Notation Pattern Development Rule Examples Var
iation
61
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62
3. Homework
  • Homework should reflect what you say you value.
  • Vocabulary Notation
  • Reading Writing
  • Conceptual understanding Linkage
  • Basic Facts Procedures
  • Applications

63
Homework
  • Typical homework assignment
  • P 270 1 32 odd

64
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

65
4. Quizzes/Practice tests
Assess what you say you value Build
confidence Monitor student learning Preparation
Instruction Assessment Balance Cumulative
Questions Setting a Date
66
5. Tests
  • Balance
  • Format
  • Confidence trust

67
Connecting
  • Instruction to
  • Note taking to
  • Homework to
  • Practice Tests/Quizzes to
  • Tests

68
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
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