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County Mathematics Leadership Teams Webinar March 18, 2009.

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County Mathematics Leadership Teams Webinar March 18, 2009
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Page 1: County Mathematics Leadership Teams Webinar March 18, 2009.

County Mathematics Leadership Teams Webinar

County Mathematics Leadership Teams Webinar

March 18, 2009

Page 2: County Mathematics Leadership Teams Webinar March 18, 2009.

Agenda – March 18 Webinar

• Welcome

• Mastering Mathematics Through Relevant Applications – Carla Williamson

• Updates – WVDE Mathematics Initiatives – Lou Maynus

• Counties share updates on Quantiles PD and other PD in mathematics.

• Wiki Assignment (One Question to Answer)

• Preview of April webinar

Page 3: County Mathematics Leadership Teams Webinar March 18, 2009.

Mastering Mathematics Through Relevant Applications

Mastering Mathematics Through Relevant Applications

Carla Williamson

Page 4: County Mathematics Leadership Teams Webinar March 18, 2009.

4

The Rigor/Relevance Framework

AAcquisition

BApplication

CAssimilation

DAdaptation

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

Understanding

Awareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

International Center for Leadership in Education

Page 5: County Mathematics Leadership Teams Webinar March 18, 2009.

Defining Rigor

Level PerformanceLevel 1 - Knowledge Label the x and y axis

Level 2 - Comprehension Graph ordered pairs

Level 3 - Application Graph a scatter diagram from data

Level 4 - Analysis Find the slope of a line

Level 5 - Synthesis Generate an equation for a given set of data

Level 6 - Evaluation Write a scenario for a given graph of a function

Page 6: County Mathematics Leadership Teams Webinar March 18, 2009.

Math Teachers Beware!

Evaluate.

Let x = 2 and y = -3

3xy-12y2

Although the word evaluate is located at a level 6 on the knowledge taxonomy, this question does not require students to think at a high level. This question is a traditional “plug and chug” exercise.

Page 7: County Mathematics Leadership Teams Webinar March 18, 2009.

Another Caution for Math Teachers

Content Knowledge

When teaching concepts and skills to students for the first time, it is important to remember that what is easy for the teacher is challenging to the student

Page 8: County Mathematics Leadership Teams Webinar March 18, 2009.

Math Relevance at Grade 3Level Performance

Level 1 – Knowledge in One Discipline

Recall basic multiplication facts

Level 2 – Application in One Discipline

Model the distributive property in multiplication

Level 3 – Interdisciplinary Application

Observe, measure and record changes in living things – growth and development

Level 4 – Real-world Predictable Situations

Examine the relationships between speed, distance and time.

Level 5 – Real-world Unpredictable Situations

create a formula spreadsheet with recipe ingredients that increase or decrease according to number of people feeding.

Page 9: County Mathematics Leadership Teams Webinar March 18, 2009.

Algebra RelevanceLevel Performance

Level 1 – Knowledge in One Discipline

Solve a one-step equation

Level 2 – Application in One Discipline

Find the slope of a linear equation

Level 3 – Interdisciplinary Application

Derive the formula distance = rate x time

Level 4 – Real-world Predictable Situations

Calculate the reaction time of drivers for different speeds

Level 5 – Real-world Unpredictable Situations

Create formulas to predict changes in stock market values

Page 10: County Mathematics Leadership Teams Webinar March 18, 2009.

The Rigor/Relevance Framework

Quadrant AAcquisition

Quadrant BApplication

Quadrant CAssimilation

Quadrant DAdaptation

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

UnderstandingAwareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

Distinguish rational and irrational numbers.

Page 11: County Mathematics Leadership Teams Webinar March 18, 2009.

The Rigor/Relevance Framework

Quadrant AAcquisition

Quadrant BApplication

Quadrant CAssimilation

Quadrant DAdaptation

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

UnderstandingAwareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

Calculate medical dosages for different weight animals

Page 12: County Mathematics Leadership Teams Webinar March 18, 2009.

The Rigor/Relevance Framework

Quadrant AAcquisition

Quadrant BApplication

Quadrant CAssimilation

Quadrant DAdaptation

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

Understanding

Awareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

Solve quadratic equations and linear inequalities

Page 13: County Mathematics Leadership Teams Webinar March 18, 2009.

The Rigor/Relevance Framework

Quadrant AAcquisition

Quadrant BApplication

Quadrant CAssimilation

Quadrant DAdaptation

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

UnderstandingAwareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

Create formulas to predict changes in stock market values

Page 14: County Mathematics Leadership Teams Webinar March 18, 2009.

The Rigor/Relevance Framework

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

UnderstandingAwareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

•Solve linear equations•Factor numbers using rules of divisibility

C

A

D

B•Collect data from the speedometer of your automobile and calculate your average speed•Determine the exit pocket of a pool ball when hit

•Solve quadratic equations•Factor polynomials

•Determine how much harder you need to hit an uphill putt•Design a set of golf clubs customized for launch and ball flight options

Page 15: County Mathematics Leadership Teams Webinar March 18, 2009.

In a recent report from the Raytheon Company it was reported that 84% of middle school students would rather clean their rooms, take out the garbage, or go to the dentist than do their math homework.

Page 16: County Mathematics Leadership Teams Webinar March 18, 2009.

Traditional, lecture-based classrooms are no longer adequate to prepare students for a highly technological society.

Page 17: County Mathematics Leadership Teams Webinar March 18, 2009.

Learners in the 21st century need to be captured through interactive experiences.

Page 18: County Mathematics Leadership Teams Webinar March 18, 2009.

The Rigor/Relevance Framework

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

UnderstandingAwareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

recall basic multiplication facts and corresponding division facts

C

A

D

B

solve multiplication and division problems using multiple strategies and justify the procedures selected

triple your recipe for 12-15 cookies and distribute evenly among your classmates.

create a formula spreadsheet with recipe ingredients that increase or decrease according to number of people feeding.

Page 19: County Mathematics Leadership Teams Webinar March 18, 2009.

The Rigor/Relevance Framework

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

UnderstandingAwareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

C

A

D

Bstate the Pythagorean Theorem and plug in the values for the variables given a triangle.

derive the special right triangle relationships (i.e. 30-60-90, 45-45-90)

determine the length of ladder needed to reach an upstairs window 25 ft above ground safely.

build a scale model of a tree design for the Urban Art project and prove how you ensure it will remain stable in the outdoors

Page 20: County Mathematics Leadership Teams Webinar March 18, 2009.

20

The Rigor/Relevance Framework

AAcquisition

BApplication

CAssimilation

DAdaptation

KNOWLEDGE

TAXONOMY

6

5

4

3

2

1

Evaluation

Synthesis

Analysis

Application

Understanding

Awareness

APPLICATION MODEL

1 2 3 4 5Knowledge Apply in

discipline

Apply acrossdisciplines

Apply toreal worldpredictable situations

Apply to real-worldunpredictable situations

International Center for Leadership in Education

Page 21: County Mathematics Leadership Teams Webinar March 18, 2009.

County Updates – Your turn

• Quantile Professional Development

• Other Mathematics PD taking place in your county

• Questions and Comments

Page 22: County Mathematics Leadership Teams Webinar March 18, 2009.

Wiki Assignment

Go to http://wiki.k12.wv.us/cmlt/doku.php?id=countymlt

Answer the following:List mathematics professional development or technical

assistance that your leadership team has provided to your county during the 2008-2009 school year. If you are not providing leadership in mathematics to your county, what obstacles do you have (time, money…)?

We will be mailing the book “Mind Set” with a book study guide for your use. Please record one address on the wiki site for us to send the books to your county.

Page 23: County Mathematics Leadership Teams Webinar March 18, 2009.

Preview of April 15th Webinar

• Getting Ready for the Mathematics Textbook Adoption

• Quality Standards-based Mathematics Instruction

• Informal Math Assessment• RTI in Mathematics• Algebra Support Course – What does it look

like?• Next steps for County Math Leadership Teams

Page 24: County Mathematics Leadership Teams Webinar March 18, 2009.

A Picture of Dedication to the Teaching and Learning of Mathematics


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