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NASSP Accelerating Math Achievement
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Page 1: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

NASSP

Accelerating Math Achievement

Page 2: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

5 Essential Connections

• Instruction

• Note taking

• Homework

• Quizzes/practice tests

• Tests

Page 3: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Rules in Mathematics

Don’t make sense!

Page 4: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Rules

• Can’t divide by zero

• Any # to the zero power, except zero, is one

• Rules for exponents

• Rules for integers

• Dividing fractions

Page 5: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Today’s Agenda

• Philosophy & Beliefs

• Student-teacher Relationships

• Organizing Student Learning - 5 Essentials

• Accountability

Page 6: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Philosophy & Beliefs

Improving student achievement

No simple answer ~

What works is work!

Page 7: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Philosophy & Beliefs

Actions follow beliefs

• Happiness is 99% attitude

Page 8: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Philosophy & Beliefs

It is about you! You cannot and should not depend on

products, programs or services to address the needs of your student population, close

the achievement gap or increase student achievement.

It’s about what happens in your classroom!

Page 9: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Answering the Question:

 What are “you”

doing to help my child learn?

Page 10: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Philosophy & Beliefs

Changing attitudes by

Building success on success!

Page 11: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Philosophy & Beliefs

• Success on Success– Teach students how to learn effectively and

efficiently.• auditory

• visual

• kinesthetic

Concentration times

Page 12: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Philosophy & Beliefs

First test

Over teach – over learn strategy

Teach students content

Teach students their learning style

Teach students how to study

Page 13: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Studying

Reading

Thinking

Reflecting

Organizing

Writing

Analyzing

Visualizing

Reviewing

Remembering

Recalling

Page 14: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Philosophy & Beliefs

Learning

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

Page 15: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Student-Teacher Relationships

My Kid Standard

Page 16: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Student-Teacher Relationships

My Kid Standard

Treat the kids in your school or classroom the same way you want your own kids treated.

Page 17: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Student-Teacher Relationships

Loyalty

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

Page 18: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Student-Teacher Relationships

Law of Reciprocity

People you like, generally like you. People you don’t like, generally don’t like you.

Page 19: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Good News!

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

Page 20: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Build on Strengths

Page 21: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Professional Practices

• Teachers already employ best practices

– Homework– Note taking– Testing

Page 22: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

What’s needed?

• Refinement & Reinforcement

of those practices.

Page 23: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Balance

 

Vocabulary & Notation

Concept Development & Linkage

Memorization of Important Facts & Procedure

Applications

Appropriate Use of Technology

Balance in mathematics has been defined as:

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

Page 24: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Vocabulary & Notation

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

Page 25: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Vocabulary

• Find the degree of

4x2y3z5

Page 26: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Vocabulary

• Best Bet?

– Bet A

• Probability of winning is 3/5

– Bet B

• Odds of winning 3 to 5

Page 27: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Language Acquisition

• Double meanings

areavolumeoperationpowermeanfeetproduct

Page 28: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Organizing Student Learning

• Instruction

Page 29: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Content - Instruction

• What you teach affects student achievement

• How you teach it affects student achievement

Page 30: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

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

Page 31: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Patterns & Strategies

12 – 3 =

13 – 4 =

15 – 6 =

17 – 8 =

12 – 4 =

13 – 5 =

14 – 6 =

15 – 7 =

Page 32: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Use simple straight forward examples that clarify what you

are teaching.

Do not get bogged down in arithmetic.

Page 33: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Multiplication

32 43 62 54

x 11 x11 x11 x11

352 473 682

Page 34: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Simple Straight Forward Examples

7 5

x1 1

7 5

Page 35: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Multiplication

7 5

x1 1

8 2 5

Page 36: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Creating Interest, & Enthusiasm in finding the circumference

Page 37: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Conceptual Development/Linkage

• Not a matter of “if” students are going to forget, it’s a matter of “when” they will forget.

• Student understanding & comfort level

• Ability to reconstruct knowledge

Page 38: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

I can’t teach __________because my kids don’t know__________

Page 39: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Linking

• Introduce new concepts & skills using familiar language

• Review and reinforce

• Compare and contrast

• Teach in a different context

Page 40: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Add / Subtract

Rational Expressions

Linking

Page 41: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

1

+

3

12

26

56

36

+

Page 42: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

1+

312

=56

1+

415

=920

1+

314

=712

Page 43: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

1+

315

=815

Page 44: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

2+

315

=1315

3+

1023

=2930

Page 45: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

3+

415

=

20+

4135

=19

Page 46: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

A+

BCD

=AD + BC

BD

A C +

B D=

BD

Page 47: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

2+

X3Y

=

XY

2+

X3Y

=2Y + 3X

XY

Page 48: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

3+

x-12

x+3=

(x-1)(x+3)

3+

x-12

x+3=

(x-1)(x+3)

3(x+3) + 2(x-1)

Page 49: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Instruction

• Build success on success

• Boost student confidence

• Demonstrate they can learn!

Page 50: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Relations & Functions

Page 51: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Functions

Special relation in which no

2 ordered pairs have the

same 1st element.

Page 52: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Menu

Hamburger ……….4

Hotdog ……………3

Sandwich …………5

00

00

00

Page 53: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

400(H, ) (Hd, ) (S, )300 500

H, Hd, S,400 300 500

400H, Hd,( S), 300 500

Page 54: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

.501,

2,

3,

100

150

.50(1, )

(2, )

(3, )

(10, ? )

100

150

Cold Drinks

Page 55: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

.501,

2,

3,

100

150

.50(1, )

(2, )

(3, )

(10, ? )

100

150

C = n x .50 = .50n or

y = x12

Page 56: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

50(1, )

(4, )200

100(2, ) 150(3, )

175(4, )

Page 57: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

2nd Essential

Note taking

Page 58: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

#1 Memory Aid - Writing it Down

Helps students

Complete homework assignments

Prepare for unit tests

Prepare for high-stakes tests

Note Taking

Page 59: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Note taking

• Be accommodating

• Be prescriptive & directive

Tell them what to write and where to write it.

Page 60: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Rules and examples

Page 61: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

TitleDate ObjectiveVocabulary & NotationPattern DevelopmentRuleExamplesVariation

Page 62: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.
Page 63: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Homework

• Homework should reflect what you say you value.

– Vocabulary & Notation– Reading & Writing– Conceptual understanding & Linkage– Basic Facts & Procedures– Applications

Page 64: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

3rd Essential

Homework

Page 65: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Homework

P 270 1 – 32 odd

Page 66: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

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

Page 67: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Reading

• Assign reading

• Explicitly introduce vocabulary & notation

• Preview reading

• Connect reading

• Check understanding of reading

• Correct their understanding

• Use paper & pencil

Page 68: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Writing

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

Page 69: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

4th Essential

Quizzes/practice tests

Page 70: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

5th Essential

Tests

Page 71: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Testing

Test what you say you value

Instruction – Assessment

Balance

Cumulative Questions

Setting a Date

Page 72: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Testing

• Comparing Test A and Test B

– Increase confidence level of testing - fairness

Page 73: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Connecting

Instruction to

Note taking to

Homework to

Practice Tests/Quizzes to

Tests

Page 74: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

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

Page 75: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Closing Summary

Page 76: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Accountability

Don’t expect what you are unwilling to inspect!

Page 77: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

If it is to be, it is up to me.

10 Simple Two Letter Words

Page 78: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Accountability

• When visiting classrooms, ask students if they are understanding, if they are learning.

• Read the students

Page 79: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Accountability

• Pick up student notebooks to determine they can study effectively and efficiently.

– Will notes help student complete homework– Will notes help students study for tests– Will notes help review for high stakes tests

Page 80: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Accountability

• Are homework assignments reflective of instruction and notes.

Page 81: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Accountability

• Are quizzes and practice tests supporting student learning?

Page 82: NASSP Accelerating Math Achievement. 5 Essential Connections Instruction Note taking Homework Quizzes/practice tests Tests.

Accountability

• Student success rates, are the tests reflective of quizzes, practice tests, homework, notes and instruction?


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