Leading the Way to Accelerating Math Achievement

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Leading the Way to Accelerating Math
Achievement

• Bill Hanlon

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Answering the Question
 What are you doing to help my child learn?
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Organizing Student Learning5 Essentials

• Instruction
• Note taking
• Homework
• Test Preparation
• Assessment
• Bill Hanlon bill_at_hanlonmath.com
• 800.218.5482

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Rules in Mathematics

• Dont make sense!

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Best practices

• Note taking
• Homework
• Tests

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Note Taking
Researchers - 1 Memory Aid - Writing it
Down Complete homework assignment Prepare for
unit test Prepare for high-stakes tests
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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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Homework

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

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Whats needed?

• Refinement Reinforcement
• of those practices.

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Homework

• Page 270, 132 odd

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Homework

• Read Sec. 9.4 - Expressions involving
  logarithms
• Define logarithm
• Write a procedure for converting logarithms to
  exponentials
• Explain why when multiplying log with the same
  base, you add the logs
  
• log (AB) logA logB
• Page 270 1 33 multiples of 3

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Homework

• Read Sec 9.4 - Adding Fractions
• Define Fraction
• Draw a model for adding fractions
• Write a procedure for adding fractions
• Explain the link between adding fractions and
  decimals
• Page 270, 1 33 multiples of 3

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Increasing Student Achievement

• No simple answer-
• what works is work

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Actions follow beliefs

• 10 simple 2-letter words

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• If it is to be, it is up to me

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Success on Success

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

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Studying

• Reading
• Thinking
• Reflecting
• Organizing
• Writing

• Analyzing
• Visualizing
• Reviewing
• Remembering
• Recalling

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Balance
Balance in mathematics has been defined as

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• 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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Study skills

• Good students adjust studying according to
  several factors
• the demand of the material
• the time available for studying
• what they already know about the topic
• the purpose importance of assignment
• the standards they must meet

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Vocabulary

• Find the degree of
• 4x2y3x5

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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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1st Essential - Instruction
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Time on Task
Stake and local school districts usually
determine the classroom time available to
teachers and students. However, regardless of
the quantity of time allocated to classroom
instruction, it is the classroom teacher and
school administrator who determine the
effectiveness of the time allotted.   According
to a survey conducted by the American Association
of School Administrators, teachers identify
student discipline as the single greatest factor
that decreases time on task in the classroom.
Generally, teachers with well-managed classrooms,
have fewer disciplinary problems. These
classrooms typically have teachers who have
established rules and procedures are in the
classroom when the students arrive, and begin
class promptly. They reduce the wear and tear
on themselves and students by establishing
procedures for make-up work, they arrange their
room to accommodate their teaching philosophy and
style, and they develop routines that increase
overall efficiency. The benefits of establishing
these classroom procedures and routines become
apparent as the total time on task approaches the
allocated time.   When teachers begin class
immediately, students view them as better
prepared, more organized and systematic in
instruction, and better able to explain the
material. Students also see these teachers as
better classroom managers, friendlier, less
punitive, more consistent and predictable, and as
one who values student learning.   Routines like
beginning class immediately, reviewing recently
taught material, orally reciting new material,
having students take notes, and ending the class
by reviewing important definitions, formulas,
algorithms, and the daily objective keep students
engaged and on task. Quality time on task is not
a silver bullet that can cure all the problems
facing education. However, it can play an
important role in increasing student achievement.
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Content - 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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When will I ever use this?

• Pythagorean Theorem
• Parabola
• Circumference

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Knowledge, Interest, Enthusiasm
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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

• by 11
• by 25

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I cant teach __________ because my kids dont
know _____________
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Show them how - Linkage

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

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6(100) 7(10) 2(1)
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5 3 2

3 4 1
(5 3)(100)
(2 1)(1)
(3 4)(10)
(8)(100)
(3)(1)
(7)(10)
(800)
(3)
(70)
8 7 3
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Addition - Left to Right
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(4 32)(100)
(223)(1)
(161)(10)
(9)(100)
(900)
9 8 7
123
(1 52)(100)
(321)(1)
(207)(10)
(8)(100)
(800)
8 9 6
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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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Multiplication
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3 2
3x 6
6 7 2
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(2x 3) (3x 5)
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10x 15
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(2x 3) (3x 5)
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F O I L
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Slope
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Equations of Lines
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y - y1 m (x - x1)
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Find the equation of a line passing through the
point (2,3), with m 4
y - y1 m (x - x1)
y - 3 4 (x - 2)
point - slope
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Solve for y
y 3 4 (x - 2)
y 3 4x - 8
y 4x - 5
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y 4x - 5
slope - intercept
y mx b
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4x y 5
general form
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Using linkage, if you know slope, you can
reconstruct the other equations.
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Using linkage, if you know slope, you can
reconstruct the other equations.
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LINKING

• Introduce using familiar language
• Review Reinforce
• Compare Contrast
• Teach in different context

Increased Student Achievement
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Linking

• Fractions
• Decimals
• Percents

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Linking

• Pythagorean Theorem
• Distance Formula
• Equation of a Circle
• Trig Identity

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Linking

• Special products in algebra
• Special products in arithmetic

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Linking

• Quadratic Formula
• Completing the Square

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Linking

• Solving Linear Equations
• Order of Operations

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Why Linking?

• Its not a matter of if students are going to
  forget information, its a matter of when.
  Linking concepts will allow students to
  reconstruct concepts and skills