Project TIME Transitions in Math Education TMP Summer Institute August 8, 2008 Christie Gilliland- Dean, GRCC Joyce Hammer- Co-Director, GRCC Kris Kissel- Instructor, GRCC Paul Muckerheide- Instructor, Hazen HS Laura Moore-Mueller-Director, GRCC Pam Reising- Instructor, GRCC Stacey Snyder- Instructor, Renton HS Robin Washam- Co-Director, PSESD
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Project TIME Transitions in Math Education TMP Summer Institute August 8, 2008 Christie Gilliland- Dean, GRCC Joyce Hammer- Co-Director, GRCC Kris Kissel-
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Auburn School District Enumclaw School DistrictFederal Way School District Kent School District Puyallup School DistrictRenton School District Sumner School District Tahoma School DistrictGreen River Community CollegeSeattle UniversityUniversity of Washington
OVERVIEW FOR TODAY
• A portal to the senior math course
• Development and content
• Instructor reactions
• Lessons learned
• Advisory-Night-in-a-Box
A PORTAL
• Game Theory is one of the senior course modules. Our intention is to give you a flavor of the course and is not intended to teach Game Theory.
Kris’ Brief Summary
Battle of New Guinea
(Printed from COMAP)
Literacy
Vocabulary
MinimaxMaximinSaddle pointNash EquilibriumGame matrixPayoffand much more!
Literacy Strategies
Cornell Notes
Concept Map
Frayer Model (four square)
CORNELL
NOTES
Literacy: Concept Map
Literacy: Frayer Model
AB Game: Mixed Strategy
AB Game: Mixed Strategy
• Calculate the percentage each played A.
• Calculate the expected value of the game.
Mathematical Analysis
• Finding the optimal strategy
• Mathematics used:ProbabilityLinear graphsIntersection point (systems)
• Use of technology
IT
Robin will assist with calculators.
Student Work
• Group work
• Mathematical conversations
• Classroom discussion
IT
Paul will mention he will share his student work.
Non-Zero Sum Games(Conflict Resolution)
• NUMB3RS: Dirty Bomb
‘’Prisoner’s Dilemma’
Non-Zero Sum Games(Conflict Resolution)
• Footloose
A game of chicken
Non-Zero Sum Games(Conflict Resolution)
• A Beautiful Mind
• NUMB3RS episode: The Art of ReckoningTo C or Not to C
• Forgiveness Math
Implementation
• Videos• Group work• Active learning• Literacy strategies• Textbook / course materials• CRMS content• Direct instruction• Technology: Calculators and Spreadsheets• Current events
Senior Course Development
• Created by faculty from GRCC and partner school districts.
• Provides rigorous alternative to calculus track for high-school seniors.
Senior Course Development
• Investigate deep and interesting topics in mathematics while preserving and improving algebra competency.
• Rekindle the excitement and beauty of mathematics.
Pre-Development Issues
• 1 semester or 2 semester course
• Module based or stand alone
course
• H.S minimum math
requirements
• Competing AP math courses
Pre-Development Issues• Available high school math teachers
• Time to meet
• What’s in a name?
Discrete Math
BAT Math
Advanced Quantitative Reasoning
College-Prep Math
Applications in Mathematical
Reasoning
Course Content Semester I
• Graph Theory • Scheduling • Linear Programming • Voting • Statistics and Probability • Fair Division
Course ContentSemester II
• Finance
• Geometry
• Modeling continuous functions:
linear, quadratic, exponential,
logarithmic, and logistic
• Game Theory
Course Assessment• Assess students at beginning
and end of year with WAMAP.
http://www.wamap.org/
• Administer student and teacher perception surveys
• Observe students’ progress post-senior year
Instructor Support Professional development: “just-in-
time”Course materials and suppliesTextbooksCalculators and sensor/motion probesSubstitute cost assistance
Consequences
Engage in hands-on learningEstablish a learning community
Lessons Learned in Creating a New Course
• Always expect material will require more time than intended for writing and editing
• The magnitude of the project was a surprise
• Administrative/counselor support• Excitement for new material• Democratic approach takes time
but leads to a richer course• Needed one decision maker
eventually
Teacher Reflections
• Collaboration across and within sectors
• Interest and awareness by administrators and instructors in other disciplines
• Mathematical engagement of students
Lessons Learned Implementing this Course
• Always expect that teaching the material requires more time than intended
• Class preparation is critical• Additional information for the instructor
resource manual• Teacher prep time and money• Administrative support• Need resource/content individual for
help• Pilot test materials need enough polish
to engage and support instructors, but will need significant revision
• Assessment requires piloting: content and delivery
Communication across sectors:
Summer Symposiums
COMING SOON! Summer Symposium - August 25, 2008
Revised Math Standards
Facilitated by Dr. Susan Hudson-Hull, UT Dana Center