algebra preparedness for higher achievement project alpha summer institute july 1, 2010 el rancho...

Algebra Preparedness for Higher Achievement

Project ALPHA Summer Institute

July 1, 2010El Rancho High School

WELCOME!


Project Goals• Goals for students:

– Understanding and enjoyment of math– Improve achievement

• CST in grades 3-Algebra I, CAHSEE

– More rigorous coursework

• Goals for teachers:– Knowledge of math & how students learn– Changes in instruction


California MSP Grant, Phase II

• Professional Development– Minimum 60 “intensive” hours in summer– 80 hours offered– 24 follow up hours

• Research Study– Intervention and comparison groups– Data on teacher & student learning,

classroom practices


Phase II Plan2008-09 2009-10 2010-11

ContentWhole Number

Problem-Solving

Rational Numbers

Probability

Algebraic Thinking

Geometry

Instruction Backward Mapping

Lesson StudyLesson

Planning

AssessmentCST

Student WorkFormative

Assessment

Benchmarks

Written Response

Collaboration CoachingPeers

Parents Principals

Leadership


Benefits of Participation• Kids understand and enjoy math!• Classroom coaching• Summer training:

– 80 hours at extra-duty/extra-pay rate

• School-year stipend:– 2008-09: $800– 2009-10: $1000– 2010-11: $1200


Logistics• Pay schedule: October 1 paycheck

• Sign-in sheets: Sign in by 8 AM

• Homework: Due at sign-in

• CSU Fullerton Extension Credit

• Emergency contact information:– Tor @ (626) 353-6729– ERHS Front Office @ 562-801-5355

(B104)


Logistics, Continued• Breakfast sign-ups

• Gate code (9603)

• Copier, computer access in H-1 (5694)

• Wireless: “linksys”, 198.188.205.2

• Restrooms: front office & faculty center

• Water bottles

• Lunch: Noon to 1 P.M., finish at 3:30


A Note About Grouping• Home groups: Mixed grade levels

– Opportunity for articulation– Diverse backgrounds & learning styles

• Collaboration: Grade level or course

• Lesson Planning groups: Your choice

• Independent work: Your choice


Scavenger Hunt• Extend the pattern• Explain how you think it works:

– At least three explanations– Include geometric connection

• Take a picture illustrating the pattern:– Illustrate at least the first three numbers– Each picture at a different location– Each picture shows a different material


Norms


2010 Institute Goals• Understand algebraic thinking, geometry• Develop lessons:

– Algebraic thinking– Group work & technology

• Prepare for collaboration and leadership with colleagues, administrators and parents– Instructional strategies– Curriculum planning for new textbook– Assessment and data analysis


Calendar• Three algebra themes• Lesson planning• Grade-level collaboration, site planning• Independent work day: July 9

– Related to project’s themes– Curriculum planning, preparing manipulatives,

technology follow-up

• MCC and principals on July 13• Homework


Is ALPHA working?• Goals for Teachers:

– Measurable gains in knowledge of math and how students think about it

– Will measure differences in instruction(November 2010)

• Goals for Students:– CST trends– Course-taking changes


Gains in Content Knowledge - Year Two

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

ES MS HS

Ga

in (

Sta

nd

ard

De

via

tio

ns

)

Intervention

Comparison


CST Trends2004-2009 CST Mathematics: Trends Over Time

0

10

20

30

40

50

60

70

3 4 5 6 7 GM

(8-9)

Alg I

(7-11)Gr ade

2004 CST 2005 CST 2006 CST 2007 CST 2008 CST 2009 CST


CST ComparisonAverage Percent Proficient and Advanced

0%

10%

20%

30%

40%

50%

60%

70%

80%

3 - ALPHA 3 - Compare 6 - ALPHA 6 - Compare

Grade Level and Group

Pe

rce

nt

of

Stu

de

nts

in

Cla

ss

2008 CST

2009 CST


Course-Taking Trends

2003-2004 2009-2010

Grade 9 – Alg I or Higher 74% 100%

Grade 10 – Geo or Higher 41% 58%

Grade 11 – Alg II or Higher 39% 48%


Course-Taking Trends II

2003-2004 2009-2010

Grade 12 – Taking math 76% 45%

Grade 12 – Still finishing Alg I 34% 9%

Grade 12 – Pre-calc or higher 24% 52%


ERUSD Developments 2010-2011

• Elementary & Middle School:– New textbook, pacing guides and exams– Grade level reassignments– Common modified day meetings– RTI and instructional coaches for K-5– Math Field Day & intervention programs– Advanced math program (Gr. 7 Algebra I)


ERUSD Developments 2010-2011

• High School:– Backwards-mapping model– Algebra & geometry support classes

• ALPHA Goals:– Sustainability and teacher leadership– MCC and ALPHA participants as core

group of teacher leaders in math


Questions?


“Algebra”

• What is algebra?

• Why is it important?

• What aspects of algebra can be taught in grades K-7?


Historical Notes

• Al-Khwarizmi (c. 800) (“al-jabr”) Compendious Book on Calculation by Completing and Balancing

• Development of modern notation:– Equal sign: Robert Recorde, 1557– Variables: a, b, c vs. x, y, z

Descartes, 1650’s– Functions: f(x) Euler, 1750’s


Summer Institute’s Math Content Themes: “Algebraic Thinking”

• Algebra as ….– Generalization and justification– Finding unknowns– Reasoning about quantitative relationships

(functions)

• Geometry connections


Outcomes• Portfolio:

– Conjecture and generalization– Functions problem– Notation/vocabulary research– Site and personal action plans– Overall reflection

• Lesson Plan• Collaboration Notebook


Uncommon Commonalities• Rectangle in middle• Connect to 4 corners, number 1-4• When it’s your turn:

– Suggest something your group might have in common

– Record in the space corresponding to the number of people with that characteristic

• Create a group name


Get It Together

• Each person responsible for his or her own clue

• Share your information with the whole group

• Find a solution that matches all of the clues

algebra preparedness for higher achievement project alpha summer institute july 1, 2010 el rancho...

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