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Achieve’s American Diploma Project: Cross State Initiatives Impacting

Mathematics Expectations and Policy

Florida Math Standards Conference

September 18, 2006

2AMERICAN DIPLOMA PROJECT NETWORK

Achieve, Inc.

Created in 1996 by governors and concerned CEOs

Bipartisan, independent, non-profit

Work with states to improve the quality of standards, tests and accountability systems

Organized 1999, 2001, and 2005 National Education Summits

3AMERICAN DIPLOMA PROJECT NETWORK

Achieve’s purpose is to:

Prepare all young people for postsecondary education, work and citizenship by raising academic standards and achievement in America's schools.

4AMERICAN DIPLOMA PROJECT NETWORK

Achieve’s work:

help states benchmark their standards, assessments and accountability systems against the best in the country and the world

build partnerships that allow states to work together to improve teaching and learning and raise student achievement

provide sustained public leadership and advocacy for the movement to raise standards and improve student performance

5AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

How well prepared are our students for the world after high school?

What does it take to be prepared for postsecondary education and work?

What do we expect of our high school graduates?

What will it take to close the expectations gap?

6AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

How well prepared are ourstudents?

7AMERICAN DIPLOMA PROJECT NETWORK

U.S. high school graduation rates have dropped over past 20 years

60%

65%

70%

75%

1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000

Source: Mortenson, T., “Chance for College by Age 19 by State in 2000,” Postsecondary Education Opportunity: The Environmental Scanning Research Letter of Opportunity for Postsecondary Education, No. 123, The Mortenson Research Center on Public Policy, September 2002.

Public high school graduation rates, 1981–2000

8AMERICAN DIPLOMA PROJECT NETWORK

High school graduation rate: United States trails most countries

OECD Reporting Country

Graduation Rate (%)

1 Denmark 100 2 Norway 97 3 Germany 93 4 Japan 92 5 Poland 90 5 Switzerland 90 7 Finland 85 7 Greece 85 9 France 82

9 Hungary 82 9 Italy 82

12 Czech Republic 81 13 Belgium 79 13 Iceland 79 15 Ireland 77 16 United States 73 17 Sweden 72 18 Luxembourg 68 18 Spain 68 20 Slovak Republic 61

Source: Organisation for Economic Co-operation and Development, Education at a Glance 2004, 2004.

9AMERICAN DIPLOMA PROJECT NETWORK

Too many U.S. students drop out of the education pipeline

Source: National Center for Public Policy & Higher Education, Policy Alert, April 2004. Data are estimates of pipeline progress rather than actual cohort.

68%

40%

27%18%

0%

25%

50%

75%

100%

Graduatehigh school

Start college Persist 2ndyear

Earn degree

Per

cent

age

of 9

th g

rade

stu

dent

s

10AMERICAN DIPLOMA PROJECT NETWORK

Only about half of African American and Latino students graduate from high school in four years

Source: Manhattan Institute, Public High School Graduation and College-Readiness Rates: 1991–2002, February 2005, http://www.manhattan-institute.org/html/ewp_08.htm.

On-time high school graduation, 2002

52% 56%

78%

0%

25%

50%

75%

100%

Latino AfricanAmerican

White

Per

cent

age

of 9

th g

rade

stu

dent

s

11AMERICAN DIPLOMA PROJECT NETWORK

A high school diploma is not the last educational stop required

Jobs that require at least some postsecondary education will make up more than two-thirds of new jobs.

Share of new jobs, 2000–1010%

22%

36%

31% High schooldropout High schooldiplomaSomepostsecondaryBachelor'sdegree

Source: Carnevale, Anthony P. and Donna M. Desrochers, Standards for What? The Economic Roots of K–16 Reform, Educational Testing Service, 2003.

12AMERICAN DIPLOMA PROJECT NETWORK

Change in the Distribution of Education in Jobs, 1973 v. 2001

32%40%

12% 16%9%

31% 28% 32%

0%

20%

40%

60%

High SchoolDropouts

High SchoolGraduates

Some College /Assoc. Degree

Bachelor's Degree& Higher

Employment Share, 1973 Employment Share, 2001

-23%

-9%

+16%+16%

Source: Carnevale, Anthony P. and Donna M. Desrochers, Standards for What? The Economic Roots of K–16 Reform, ETS, 2003.

13AMERICAN DIPLOMA PROJECT NETWORK

College bound does not necessarily mean college ready

Nearly three in 10 first-year students are placed immediately into a remedial college course.

Percentage of U.S. first-year students in two-year and four-year institutions requiring remediation

28%

22%

14%

11%

0% 20% 40% 60%

Reading, writingor math

Math

Writing

Reading

Source: National Center for Education Statistics, Remedial Education at Degree-Granting Postsecondary Institutions in Fall 2000, 2003.

14AMERICAN DIPLOMA PROJECT NETWORK

Very few high school graduates are “college ready”

27%34%

45%

0%

25%

50%

75%

100%

Lowest: Alaska United States Highest: New Jersey

Perc

enta

ge o

f 9th

gra

de s

tude

nts

grad

uatin

g on

tim

e co

llege

read

y

Source: Manhattan Institute, Public High School Graduation and College-Readiness Rates: 1991–2002, February 2005, http://www.manhattan-institute.org/html/ewp_08.htm.

15AMERICAN DIPLOMA PROJECT NETWORK

Too few minority students in U.S. graduate from high school “college ready”

20% 23%

40%

0%

25%

50%

75%

100%

Latino African American White

Perc

enta

ge o

f 9t

h gr

ade

stud

ents

gr

adua

ting

on ti

me

colle

ge r

eady

Source: Manhattan Institute, Public High School Graduation and College-Readiness Rates: 1991–2002, February 2005, http://www.manhattan-institute.org/html/ewp_08.htm.

16AMERICAN DIPLOMA PROJECT NETWORK

Source: National Center for Education Statistics, The Condition of Education, 2004.

Most U.S. college students who take remedial courses fail to earn degrees

Many college students who need remediation, especially in reading and math, do not earn either an associate’s or a bachelor’s degree.

Percentage not earning degree by type of remedial coursework

76%

63%

0%

25%

50%

75%

100%

Remedial reading Remedial math

Per

cent

age

of c

olle

ge s

tude

nts

17AMERICAN DIPLOMA PROJECT NETWORK

Clearly, we’ve got a problem

Students are following all the rules;

Meeting all of the requirements for a HS diploma; and still--

Falling through the cracks between high school and the expectations of postsecondary institutions.

18AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

What does it take to beprepared for postsecondary education and work?

19AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

Partnership of Achieve, Inc.; The Education Trust; and the Thomas B. Fordham Foundation.

Partnered with Indiana, Kentucky, Massachusetts, Nevada and Texas.

Involved wide variety of K–12, higher education and business representatives.

Key finding: Unprecedented convergence of skills required for success in college and work.

Created end-of-high-school benchmarks to convey the knowledge and skills graduates will need to be successful in college and the workplace.

20AMERICAN DIPLOMA PROJECT NETWORK

Expectations are the same for both college & “good jobs”

The knowledge & skills that high school graduates will need in order to be successful in college are the same as those they will need in order to be successful in a “good job” that pays enough to support a family well above the

poverty level, provides benefits, & offers clear pathways for career advancement

through further education & training.

21AMERICAN DIPLOMA PROJECT NETWORK

College Ready = Career Ready

ADP research found a common core of knowledge & skills in math and English that are necessary for success in postsecondary education and in “good jobs”.

ACT Study Ready for College Ready for Work: Same or Different?: whether planning to enter college or workforce training

programs after graduation, high school students need to be educated to a comparable level of readiness in reading and mathematics.

22AMERICAN DIPLOMA PROJECT NETWORK

Work Ready is not the same as Career Ready

Career Ready – The knowledge and skills needed to gain further education and training in order to succeed and advance in chosen career

Work Ready – The knowledge and skills needed to gain an entry level job

23AMERICAN DIPLOMA PROJECT NETWORK

Blue-collar jobs require high-level skills

Requirements for draftsmen: Recommended high school courses include Geometry and

Trigonometry. Draftsmen may wish to seek additional study in

mathematics and computer-aided design to keep up with technological progress within the industry.

Requirements for electricians: Recommended high school courses include Algebra,

Geometry, Trigonometry and Physics.

Sources: American Diploma Project, 2002; The Associated General Contractors of America (AGC) http://www.agc.org/page.ww?section=About+AGC&name=About+AGC.

24AMERICAN DIPLOMA PROJECT NETWORK

Blue-collar jobs require high-level skills

Requirements for iron workers: Recommended high school courses include Algebra,

Geometry and Physics.

Requirements for sheet metal workers: Four or five years of apprenticeship Algebra, Geometry, Trigonometry and technical reading

Requirements for tool and die makers Four or five years of apprenticeship and/or postsecondary

training Algebra, geometry, trigonometry and statistics

Sources: American Diploma Project, 2002; The Associated General Contractors of America (AGC) http://www.agc.org/page.ww?section=About+AGC&name=About+AGC.

25AMERICAN DIPLOMA PROJECT NETWORK

Recommended Math Courses for 16 CTE Career Clusters

Algebra I, Geometry, &

Algebra II

Trigonometry, Pre-Calculus, or Statistics Trigonometry, Pre-Calculus, or

CalculusArts, A/V Technology & Communications

Architecture & Construction

Business, Management, & Administration

Finance

Government & Public Administration

Hospitality and Tourism

Human Services

Information Technology

Manufacturing

Marketing, Sales and Service

Transportation, Distribution & Logistics

Agriculture, Food & Natural Resources

Education & Training

Health Science

Law, Public Safety, Corrections& Security

Science, Technology, Engineering and Mathematics

26AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

What does all this mean?

A high school diploma is necessary but not sufficient -- good jobs that pay well and lead to careers require high skills and further education or training beyond high school.

There is a common core of English and math skills necessary for success in college and in the education and training that leads to careers.

The job of high schools is to help every 9th grader graduate with at least these core skills -- so that each student has choices and options after high school.

27AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project Methodology

Coming from the workplace perspective:

Defining workplace expectations

Securing input from employers on preliminary workplace expectations

28AMERICAN DIPLOMA PROJECT NETWORK

What does it take to succeed in “good” jobs?

ADP research found that:

84 percent of highly paid professionals took Algebra II or higher in high school.

Employees in vast majority of good jobs took four years of grade-level English.

Employers emphasize importance of workers being able to think creatively and logically and to identify and solve problems.

Fastest growing occupations require some education beyond high school (e.g., certificate, bachelor’s degree, associate degree, on-the-job training).

29AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project Methodology

Coming from the postsecondary perspective:

Defining postsecondary expectations for credit-bearing work Test content analyses

Meetings with higher education faculty

30AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project Methodology

Meetings with 2-year and 4-year college faculty:

Define math content and skills needed for success in

credit-bearing courses

Articulate and prioritize these competencies

Determine degree to which state standards contain these

competencies

Identify gaps

31AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

Convergence of workplace and postsecondary findings:

Similar intellectual demands

Some variation in relative emphasis

Importance of reasoning and problem-solving skills

32AMERICAN DIPLOMA PROJECT NETWORK

ADP Post-secondary Institution Study: Key findings

In math, graduates need knowledge and skills typically taught in Algebra I, Algebra II and Geometry, as well as some Data Analysis and Statistics.

In English, graduates need strong reading, writing and oral communication skills equal to four years of grade-level coursework, as well as research and logical reasoning skills often associated with honors courses.

33AMERICAN DIPLOMA PROJECT NETWORK

To be college and work ready, students need to complete a rigorous sequence of courses

In math: Four years Content equivalent to

Algebra I and II, Geometry, and a fourth course such as Statistics or Precalculus

In English: Four years Content equivalent to

four years of grade-level English or higher (i.e., honors or AP English)

To be college and work ready, high school graduates need:

34AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

The final steps:

Synthesizing preliminary workplace and

postsecondary expectations for review

Convening content area expert/employer panels

Gathering tasks and assignments from employers

and postsecondary faculty

35AMERICAN DIPLOMA PROJECT NETWORK

ADP Math Expectations

ADP Math benchmarks cover: Number sense and

numerical operations Algebra Geometry Data interpretations,

statistics and probability Math reasoning skills

Typically taught in four courses with content equivalent to:

Algebra I Geometry Algebra II Additional advanced

course such as Statistics or Precalc

36AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project Mathematics Benchmarks

Benchmarks, supported by examples

Asterisks used to identify content recommended for all

but required for students planning to take calculus

Technology as an important tool in problem solving but

not as a replacement for fluency and accuracy in

computation

37AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project Mathematics Benchmarks

How are they being used?

Benchmarking state high school standards

Comparative analyses in states embarking upon the development of

college-readiness standards

Basis of comparison in analysis of tests

Backmapping to create a secondary progression and sequences of

high school courses

38AMERICAN DIPLOMA PROJECT NETWORK

K-12 progression and high school course descriptions

ADP benchmarks are for all students.

They are cumulative— “end-of-high school” (but not through calculus)

In mathematics, we are currently “backmapping” from end of high school to create a K-12 progression (building on pre-existing K-8)

Developing course descriptions as well

39AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project Mathematics Benchmarks

So how are we “unpacking” the ADP benchmarks?

Identifying prerequisite knowledge and skills

Defining a “universe” of content and skills that “bleeds into”

middle school

Creating a progression of knowledge and skills

“Evening out” the grain size

40AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project Backmapping Progression

Where are we now?

Draft strands of the universe of content

Working to parse expectations into course sequences -

traditional and integrated

41AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

What do we expect of ourhigh school graduates?

StandardsCourse-taking requirementsAssessments

42AMERICAN DIPLOMA PROJECT NETWORK

State high school standards not always anchored in real-world expectations

In most states, standards reflect a consensus among discipline-based experts about what would be important for young people to learn – not a reflection of what would be essential to know to succeed at the next level.

Few states’ postsecondary faculty and employers have verified that state high school standards reflect their expectations.

43AMERICAN DIPLOMA PROJECT NETWORK

Do state graduation requirements reflect “college- and work-ready” content?

To answer this question, Achieve:

Reviewed minimum high school course requirements in all 50 states.

Compared each state’s requirements to what students need to be successful in college and the workplace.

44AMERICAN DIPLOMA PROJECT NETWORK

I D

AZ

UT

MT

W Y

N M

CO

AL

FL

S C

TN

K Y

I NOH

N C

S D

K S

N E

MN

W I

I A

I L

MO

AR

MS

OK

N D

OR

CA N V

W A

TX

AK

PA

ME

VA

N Y

CT

W V

MDN J

VTN HMA

DE

RI

H I

LA

MI

GA

44 states require students to take certain courses to graduate from high school

45AMERICAN DIPLOMA PROJECT NETWORK

I D

AZ

UT

MT

W Y

N M

CO

AL

FL

S C

TN

K Y

I NOH

N C

S D

K S

N E

MN

W I

I A

I L

MO

AR

MS

OK

N D

OR

CA N V

W A

TX

AK

PA

ME

VA

N Y

W V

MD

VTN HMA

LA

MI

GA

23 states require Algebra I

46AMERICAN DIPLOMA PROJECT NETWORK

I D

AZ

UT

MT

W Y

N M

CO

AL

FL

S C

TN

K Y

I NOH

N C

S D

K S

N E

MN

W I

I A

I L

MO

AR

MS

OK

N D

OR

CA N V

W A

TX

AK

PA

ME

VA

N Y

W V

MD

VTN HMA

LA

MI

GA

16 states require Geometry

47AMERICAN DIPLOMA PROJECT NETWORK

I D

AZ

UT

MT

W Y

N M

CO

AL

FL

S C

TN

K Y

I NOH

N C

S D

K S

N E

MN

W I

I A

I L

MO

AR

MS

OK

N D

OR

CA N V

W A

TX

AK

PA

ME

VA

N Y

W V

MD

VTN HMA

LA

MI

GA

Only 8 states require Algebra II

48AMERICAN DIPLOMA PROJECT NETWORK

Algebra II critical for college and work

26%

46%60%

68%

0%

25%

50%

75%

100%

College students Students who did not go tocollege

Completed less than Algebra II

Completed Algebra II/more

Source: Peter D. Hart Research Associates/Public Opinion Strategies, Rising to the Challenge: Are High School Graduates Prepared for College and Work? prepared for Achieve, Inc., 2005.

High school graduates extremely or very well prepared for expectations of college/work

49AMERICAN DIPLOMA PROJECT NETWORK

A strong high school curriculum* improves college completion and narrows gaps

*Completing at least Algebra II plus other courses.Source: Adapted from Adelman, Clifford, U.S. Department of Education, Answers in the Toolbox, 1999.

61%

75%86%

73%

45%

79%

0%

100%

All college entrants Entrants who had strong highschool curriculum

African American Latino White

30%

13%

50AMERICAN DIPLOMA PROJECT NETWORK

Only four in 10 high school students complete a college- and work-ready math curriculum

41%

71%

20%

0%

25%

50%

75%

100%

Lowest: Nevada United States Highest: West Virginia

*Trigonometry or Precalculus.Source: Council of Chief State School Officers, State Indicators of Science and Mathematics Education 2002, 2003, p. 27.

Taking a math course beyond Algebra II* by graduation (2002)

51AMERICAN DIPLOMA PROJECT NETWORK

Do assessments measure “college-ready” skills?

Half the states require students to pass one or more exams to earn a high school diploma.

What does it take to pass these tests?

52AMERICAN DIPLOMA PROJECT NETWORK

The tests Achieve analyzed

StateGrade Given Reading Writing Math

First Graduating Class Facing Requirement

Florida 10th • • 2003

Maryland End of course • • • 2009

Massachusetts 10th • • • 2003

New Jersey 11th • • • 2003

Ohio 10th • • 2007

Texas 11th • • • 2004

Source: Achieve, Inc., Do Graduation Tests Measure Up? A Closer Look at State High School Exit Exams, 2004.

53AMERICAN DIPLOMA PROJECT NETWORK

Good news: States are measuring algebra and geometry

12%

31%

38%

19%

0%

10%

20%

30%

40%

50%

60%

Number Algebra Geometry &measurement

Data

Per

cent

age

of to

tal p

oint

s

Source: Achieve, Inc., Do Graduation Tests Measure Up? A Closer Look at State High School Exit Exams, 2004.

54AMERICAN DIPLOMA PROJECT NETWORK

Bad news: States tend to measure lower-level content

56%

30%

15%

0%

10%

20%

30%

40%

50%

60%

Prealgebra Basic algebra Advanced algebra

Per

cent

age

of to

tal p

oint

s

Source: Achieve, Inc., Do Graduation Tests Measure Up? A Closer Look at State High School Exit Exams, 2004.

55AMERICAN DIPLOMA PROJECT NETWORK

Students can pass state math tests knowing content typically taught in 7th and 8th grade internationally

7.1

8.68.1

7.4

8.2 8.3

5

6

7

8

9

10

11

12

Inte

rnat

iona

l Gra

de P

lace

men

t

FL MD MA NJ OH TX

Source: Achieve, Inc., Do Graduation Tests Measure Up? A Closer Look at State High School Exit Exams, 2004.

Grade when most international students cover content required to pass state math tests

56AMERICAN DIPLOMA PROJECT NETWORK

American Diploma Project

What will it take to close the expectations gap?

57AMERICAN DIPLOMA PROJECT NETWORK

Closing the Expectations Gap: ADP Policy Agenda

Align high school standards with college and work expectations.

Require all students to take curriculum aligned with standards.

Include “college-ready” test, aligned with state standards, in high school assessment system.

Hold high schools accountable for graduating students college- and work-ready, and hold postsecondary institutions accountable for student success. 

58AMERICAN DIPLOMA PROJECT NETWORK

ADP Network: 25 states committed to improving student preparation

59AMERICAN DIPLOMA PROJECT NETWORK

ADP Math Tools and Support: Standards

K-12 Math Benchmarks

High School Course Descriptions Traditional math sequence Integrated math sequence Capstone Courses Applied Sequence

Alignment Institute and other technical support

60AMERICAN DIPLOMA PROJECT NETWORK

Achieve provides alignment support to 18 states

ID

A Z

U T

M T

W Y

N M

C O

A L

F L

S C

T N

K Y

INO H

N C

S D

K S

N E

M N

W I

IA

IL

M O

A R

M S

O K

N D

O R

C A N V

W A

T X

A K

P A

ME

V A

N Y

C T

W VM D

N J

V TN H M A

D E

R I

H I

LA

MI

G A

LE G E N DA D P A lignm ent Ins titutesA c hieve A lignm ent S up p o rt

61AMERICAN DIPLOMA PROJECT NETWORK

ADP Math Tools and Support: College-Ready Assessment

Common Algebra II Test

Do Graduation Tests Measure Up?: A Closer Look at High School Exit Exams

Study of what commonly used college admissions and placement tests measure

62AMERICAN DIPLOMA PROJECT NETWORK

ADP Algebra II End-of-Course Exam

Nine states will issue RFP for development of Algebra II test in the Fall of 2006.

Test content aligned with ADP math benchmarks

Purposes of the test: To ensure consistent content and rigor in Algebra II

courses within and among states To provide for comparisons in performance among the

states To be used for postsecondary placement purposes

Test will be administered no later than Spring 2008

Additional states will be able to use this exam

63AMERICAN DIPLOMA PROJECT NETWORK

States working together to develop a common Algebra II EOC test

I D

AZ

UT

MT

W Y

N M

CO

AL

FL

S C

TN

K Y

I NOH

N C

S D

K S

N E

MN

W I

I A

I L

MO

AR

MS

OK

N D

OR

CA N V

W A

TX

AK

PA

ME

VA

N Y

W V MD

MA

LA

MI

GA

RI

N J

64AMERICAN DIPLOMA PROJECT NETWORK

Math Tools and Support: Improving Instruction

Urban Math Leadership Network in partnership with Charles A. Dana Center/UT Austin Focus on developing tools and strategies to help urban

districts increase success in Algebra I

Aligned Instructional Systems Formative assessments Model Curriculum Sample Lessons and Assignments Professional Development Supports for Students

65AMERICAN DIPLOMA PROJECT NETWORK

Math Tools and Support: Advocacy

Making the case for Algebra II

Research that supports necessity of advanced math skills for 21st Century work as well as for college

Examples of successful state, district and school initiatives

66AMERICAN DIPLOMA PROJECT NETWORK

For more information,please visit Achieve, Inc., on the Web at

http://www.achieve.org

Achieve’s American Diploma Project: Cross State Initiatives Impacting

Mathematics Expectations and Policy

Florida Math Standards Conference

September 18, 2006

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