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1. CAHSEE Lessons for SuccessCMC ConferenceAsilomar ??12/6/08 Ivan Cheng CSU Northridge
Wendy Schroeder Nobel Middle School, LAUSD
2. CAHSEE Lessons for SuccessWelcome & Introductions Please share your name and subjects that you teach
3. CAHSEE failure rate is high for some
In March, 2007 19,158 12th graders took the CAHSEE after failing in 10th & 11th
They were also among the 14,104 who did not pass... and missed their graduation
Grant funded project to address problem
Los Angeles Valley College
Los Angeles Unified School District
California State University Northridge
4. Students are unsuccessful in CAHSEE
Despite taking up to 4 years of high school math classes
Despite taking district review courses on Saturdays
Despite completing HS graduation requirements
Students lack confidence
Students are mystified
5. At your groups, identify some roadblocks that prevent your students from succeeding in math
With the whole group, identify the top 3 or 4 roadblocks that are barriers to success
6. Lack of basic facts
Impatient students (want to do everything in head)
Discouraged by history of failure
Large classes (students cannot get enough support)
Lack of parent support
Test anxiety (freeze up on tests)
Lack of reading skills
Special education students’ & EL students’ needs
Inability to focus and pay attention
No connections
Lack of relevance
District/state limitations (API implications)
Lack of study skills
Lack of support for teacher professional development
Lack of time
Delayed results
7. More review of basic skills
More practice with CAHSEE prep books
More materials, more Saturdays, more formulas to memorize, more, more, more
8. “Students who do not have a deep understanding of mathematics suspect that it is just a jumble of unrelated procedures and incomprehensible formulas.”
Mathematics Framework
for California Public Schools (2005), p. 5
9. Locate numbers consecutively and circle them
Let’s try that again
What’s different this time?
How did it feel this time? Ivan presents.Ivan presents.
10. Focus on thinking instead of topics
Lessons organized by themes
“You Can Do It” (confidence building, demystifying CAHSEE)
“Language of Math” (representing data)
“What Does It Mean?” (interpreting data)
“Meaningful Relationships” (patterns, rates, ratios)
“Things are Shaping Up” (geometric relationships, ratios)
“Playing by the Rules” (operations, rules, polynomials)
“Say It Again” (multiple representations)
“Take a Chance” (working with probability)
“What’s the Problem?” (reasoning, problem solving)
“Practice Makes Perfect” (error analysis, demystifying CAHSEE)
Skills developed in context, not in isolation
11. Organization of lessons
Two or three focus lessons using a variety of activities
Conceptual understanding and computational fluency
Key thinking processes linked across topics
Skills threaded rather than isolated
Frequent successful experiences to build confidence
Multiple representations to show meaningful connections
Using patterns and explorations to promote critical thinking
“Repackaging” concepts creatively to build retention
12. Successful experiences to build confidence
Multiple representations to show meaningful connections
Patterns & explorations to develop critical thinking
“Repackaged” concepts to promote retention
13. Example: Lattice Fractions
(from Brad Fulton, 2006) Wendy Presents.
Acknowledge the work of others which have provided inspiration and ideas for these materials.Wendy Presents.
Acknowledge the work of others which have provided inspiration and ideas for these materials.
14. Example: Equivalent Fractions
Ivan Presents.Ivan Presents.
15. Example: Equivalent Fractions
Ivan Presents.Ivan Presents.
16. Example: My Favorite Flavor
Ivan Presents.Ivan Presents.
17. Example: Using proportional reasoning
Growing Pains Wendy presents.Wendy presents.
18. Example: Using proportional reasoning
Growing Pains Wendy presents.Wendy presents.
19. Example: Using proportional reasoning
Growing Pains
On the Road Wendy presents.Wendy presents.
20. Example: Using proportional reasoning
Growing Pains
On the Road
On the Job Wendy presents.Wendy presents.
21. Example: Using proportional reasoning
Growing Pains
On the Road
On the Job
Multiplication Magic Wendy presents.Wendy presents.
22. Example: Using proportional reasoning
Growing Pains
On the Road
On the Job
Multiplication Magic
Four Squares Wendy presents.Wendy presents.
23. Example: Using proportional reasoning
Growing Pains
On the Road
On the Job
Multiplication Magic
Four Squares
Boxed Numbers Wendy presents.Wendy presents.
24. Example: Using proportional reasoning
Growing Pains
On the Road
On the Job
Multiplication Magic
Four Squares
Boxed Numbers
Percents Practice Wendy presents.Wendy presents.
25. Example: Using proportional reasoning
Growing Pains
On the Road
On the Job
Multiplication Magic
Four Squares
Boxed Numbers
Percents Practice
Percent of a Day Wendy presents.Wendy presents.
26. Example: Using proportional reasoning
Growing Pains
On the Road
On the Job
Multiplication Magic
Four Squares
Boxed Numbers
Percents Practice
Percent of a Day
Percents in Life Wendy presents.Wendy presents.
27. Example: Convertibles
Ivan presents.Ivan presents.
28. Example: Boxed Binomial
Ivan presents.Ivan presents.
29. Example: Skateboard Problem
Ivan presents.Ivan presents.
30. Example: Skateboard Problem
Ivan presents.Ivan presents.
31. Thank You for AttendingCMC ConferenceAsilomar ??12/6/08 Ivan Cheng icheng@csun.edu
Wendy Schroeder wls5126@lausd.net
32. Materials PostedAlgebra Learning Networkhttp://edutech.csun.edu/aln/ Ivan Cheng icheng@csun.edu
Wendy Schroeder wls5126@lausd.net