1. County Mathematics Leadership Teams Webinar March 18, 2009

2. 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

3. Mastering Mathematics Through Relevant Applications Carla Williamson

4. 4 The Rigor/Relevance Framework A Acquisition B Application C Assimilation D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real- world unpredictable situations International Center for Leadership in Education

5. Defining Rigor LevelPerformance Level 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

6. Math Teachers Beware! Evaluate. Let x = 2 and y = -3 3xy-12y 2 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.

7. 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

8. Math Relevance at Grade 3 LevelPerformance 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.

9. Algebra Relevance LevelPerformance 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

10. The Rigor/Relevance Framework Quadrant A Acquisition Quadrant B Application Quadrant C Assimilation Quadrant D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Distinguish rational and irrational numbers.

11. The Rigor/Relevance Framework Quadrant A Acquisition Quadrant B Application Quadrant C Assimilation Quadrant D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Calculate medical dosages for different weight animals

12. The Rigor/Relevance Framework Quadrant A Acquisition Quadrant B Application Quadrant C Assimilation Quadrant D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Solve quadratic equations and linear inequalities

13. The Rigor/Relevance Framework Quadrant A Acquisition Quadrant B Application Quadrant C Assimilation Quadrant D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Create formulas to predict changes in stock market values

14. The Rigor/Relevance Framework KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable 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

15. 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.

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

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

18. The Rigor/Relevance Framework KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable 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.

19. The Rigor/Relevance Framework KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations C A D B state 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. 20 The Rigor/Relevance Framework A Acquisition B Application C Assimilation D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY 654321654321 Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL 1 2 3 4 5 KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real- world unpredictable situations International Center for Leadership in Education

21. County Updates – Your turn Quantile Professional Development Other Mathematics PD taking place in your county Questions and Comments

22. Wiki Assignment Go to http://wiki.k12.wv.us/cmlt/doku.php?id=count ymlt 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.

23. 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

24. A Picture of Dedication to the Teaching and Learning of Mathematics