NASSP

Accelerating Math Achievement

5 Essential Connections

• Instruction

• Note taking

• Homework

• Quizzes/practice tests

• Tests

Rules in Mathematics

Don’t make sense!

Rules

• Can’t divide by zero

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

• Rules for exponents

• Rules for integers

• Dividing fractions

Today’s Agenda

• Philosophy & Beliefs

• Student-teacher Relationships

• Organizing Student Learning - 5 Essentials

• Accountability

Philosophy & Beliefs

Improving student achievement

No simple answer ~

What works is work!

Philosophy & Beliefs

Actions follow beliefs

• Happiness is 99% attitude

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!

Answering the Question:

 What are “you”

doing to help my child learn?

Philosophy & Beliefs

Changing attitudes by

Building success on success!

Philosophy & Beliefs

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

efficiently.• auditory

• visual

• kinesthetic

Concentration times

Philosophy & Beliefs

First test

Over teach – over learn strategy

Teach students content

Teach students their learning style

Teach students how to study

Studying

Reading

Thinking

Reflecting

Organizing

Writing

Analyzing

Visualizing

Reviewing

Remembering

Recalling

Philosophy & Beliefs

Learning

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

Student-Teacher Relationships

My Kid Standard

Student-Teacher Relationships

My Kid Standard

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

Student-Teacher Relationships

Loyalty

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

Student-Teacher Relationships

Law of Reciprocity

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

Good News!

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

Build on Strengths

Professional Practices

• Teachers already employ best practices

– Homework– Note taking– Testing

What’s needed?

• Refinement & Reinforcement

of those practices.

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.

Vocabulary & Notation

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

Vocabulary

• Find the degree of

4x2y3z5

Vocabulary

• Best Bet?

– Bet A

• Probability of winning is 3/5

– Bet B

• Odds of winning 3 to 5

Language Acquisition

• Double meanings

areavolumeoperationpowermeanfeetproduct

Organizing Student Learning

• Instruction

Content - Instruction

• What you teach affects student achievement

• How you teach it affects student achievement

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

Patterns & Strategies

12 – 3 =

13 – 4 =

15 – 6 =

17 – 8 =

12 – 4 =

13 – 5 =

14 – 6 =

15 – 7 =

Use simple straight forward examples that clarify what you

are teaching.

Do not get bogged down in arithmetic.

Multiplication

32 43 62 54

x 11 x11 x11 x11

352 473 682

Simple Straight Forward Examples

7 5

x1 1

7 5

Multiplication

7 5

x1 1

8 2 5

Creating Interest, & Enthusiasm in finding the circumference

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

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

Linking

• Introduce new concepts & skills using familiar language

• Review and reinforce

• Compare and contrast

• Teach in a different context

Add / Subtract

Rational Expressions

Linking

1

+

3

12

26

56

36

+

1+

312

=56

1+

415

=920

1+

314

=712

1+

315

=815

2+

315

=1315

3+

1023

=2930

3+

415

=

20+

4135

=19

A+

BCD

=AD + BC

BD

A C +

B D=

BD

2+

X3Y

=

XY

2+

X3Y

=2Y + 3X

XY

3+

x-12

x+3=

(x-1)(x+3)

3+

x-12

x+3=

(x-1)(x+3)

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

Instruction

• Build success on success

• Boost student confidence

• Demonstrate they can learn!

Relations & Functions

Functions

Special relation in which no

2 ordered pairs have the

same 1st element.

Menu

Hamburger ……….4

Hotdog ……………3

Sandwich …………5

00

00

00

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

H, Hd, S,400 300 500

400H, Hd,( S), 300 500

.501,

2,

3,

100

150

.50(1, )

(2, )

(3, )

(10, ? )

100

150

Cold Drinks

.501,

2,

3,

100

150

.50(1, )

(2, )

(3, )

(10, ? )

100

150

C = n x .50 = .50n or

y = x12

50(1, )

(4, )200

100(2, ) 150(3, )

175(4, )

2nd Essential

Note taking

#1 Memory Aid - Writing it Down

Helps students

Complete homework assignments

Prepare for unit tests

Prepare for high-stakes tests

Note Taking

Note taking

• Be accommodating

• Be prescriptive & directive

Tell them what to write and where to write it.

Rules and examples

TitleDate ObjectiveVocabulary & NotationPattern DevelopmentRuleExamplesVariation

Homework

• Homework should reflect what you say you value.

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

3rd Essential

Homework

Homework

P 270 1 – 32 odd

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

Reading

• Assign reading

• Explicitly introduce vocabulary & notation

• Preview reading

• Connect reading

• Check understanding of reading

• Correct their understanding

• Use paper & pencil

Writing

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

4th Essential

Quizzes/practice tests

5th Essential

Tests

Testing

Test what you say you value

Instruction – Assessment

Balance

Cumulative Questions

Setting a Date

Testing

• Comparing Test A and Test B

– Increase confidence level of testing - fairness

Connecting

Instruction to

Note taking to

Homework to

Practice Tests/Quizzes to

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

Closing Summary

Accountability

Don’t expect what you are unwilling to inspect!

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

10 Simple Two Letter Words

Accountability

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

• Read the students

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

Accountability

• Are homework assignments reflective of instruction and notes.

Accountability

• Are quizzes and practice tests supporting student learning?

Accountability

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