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transcript
County Mathematics Leadership Teams Webinar
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
Mastering Mathematics Through Relevant Applications
Mastering Mathematics Through Relevant Applications
Carla Williamson
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
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
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.
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
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.
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
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.
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
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
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
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
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.
Traditional, lecture-based classrooms are no longer adequate to prepare students for a highly technological society.
Learners in the 21st century need to be captured through interactive experiences.
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.
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
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
County Updates – Your turn
• Quantile Professional Development
• Other Mathematics PD taking place in your county
• Questions and Comments
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.
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
A Picture of Dedication to the Teaching and Learning of Mathematics