WELCOME
to the 2014 Math Summit!
From the Floor Up:
Building Math Transitions K-16
University of Hawai‘i at West O‘ahu
November 8, 2014
Hawai‘i P-20 Partnerships for Education
• Statewide partnership led by
– Executive Office on Early Learning
– Hawai‘i State Department of Education
– University of Hawai‘i System
• Working to strengthen the educational pipeline
FOUR STRATEGIC ROLES
State Policy
Advocate
Key Communicator
and Convener
Best Practices
Program Developer
Interagency Data
Coordinator
Super Objective for Math Transitions
• Decrease the number of students taking
remedial/developmental courses at an IHE, thus
increasing the number of students taking credit bearing,
gateway math courses at an IHE
• Core to College Objective: Improve College Readiness
How Can We Meet the Super Objective?
• By the end of the 6th grade, ensure students are prepared
for the rigor of secondary math courses
• By the end of the 7th grade ensure students are enrolled
AND successful in the proper sequence of math courses
– At a minimum, ready for ALG I by 9th grade
• By the end of 11th grade, identify students who are not
college ready in mathematics; enroll those students in a
transition option for 12th grade
• Provide support during the gateway course at the IHE
Goals for 2014 Data Summit
• Examine the NEED for transitional support by reflecting
on DATA
• Explore policy options that will provide opportunities for
students to be successful in gateway courses
• Examine transitional courses options and how those
options can be used state-wide
• Review the Hawai‘i transitional course option that will be
piloted in fall 2015
Intended Outcomes for 2014 Math Summit
Participants will:
• Have an understanding of the need for transitional options
• Have examples of how placement policies related to test
scores could be implemented in Hawai‘i
• Have examples of how a transition course can be offered
statewide
• Understand the curricular design of the math transition
option that will be piloted during the 2015-2016 academic
year
Agenda
• Presentation #1: Linking math data for Hawai‘i 8th and 10th graders to success in
college
• Presentation #2: An exploration of WA’s state-approved process for moving
students from 11th /12th grade to gateway math courses
• LUNCH
• Presentation #3: A description of a transition option in TN and explanation of how
it was adopted statewide
• Presentation #4: A description of a transition option in HI
• Debriefing
Using Data to Develop Math Transition Supports
2014 Math Summit
November 8, 2014
Jean Osumi, EdD
Anita Huang
Hawaiʻi Data eXchange Partnership
• Statewide cross-agency, longitudinal data system
• Data used for research, evaluation, and audit purposes to
improve the educational and workforce outcomes that
benefit the citizens of Hawai‘i
– “Pipeline” or “cross-sector” data
– Personally identified information only used for validating
matching individuals within and across sectors
• Limited to role-based authorized personnel
Hawaiʻi Data eXchange Partnership
HCAP Head Start,
KCAA Preschools
Hawai‘i Department of
Education
Infancy to
early learning
University of Hawai‘i
System
K-12
Postsecondary
Dept of Health
GED
Hawai‘i private
postsecondaries
Dept of Human
Services
Kamehameha
Schools
Dept of Labor &
Industrial Relations
Workforce
POTENTIAL NEW DATA SOURCES:
(private K-12)
Hawai‘i private
self-insured
entities
UH Gateway Math Placement Options
UH Gateway
Math
COMPASS
Campus
Placement Test
Standardized Test
Score (ACT, SAT)
UHCC Pilot
Placement
(Algebra 2 Grade
& GPA)
UHCC PILOT PLACEMENT PROJECT 2013
Introductory
college-level
mathematics
placement
DOE Class of 2013 seniors admitted for Fall 2013 at:
Kauai Community College
UH Maui College
Algebra 2 grade of C or better & cumulative GPA 2.6 or higher
Met Algebra 2 & GPA requirements and would have placed into
remedial course based on COMPASS
23 students from Kauai
20 students from Maui
29 of 43 (67%) earned a C or better in college-level math
Based on historical data, estimate only 15 of 43 (35%) would have
passed a lower math and continued on to pass a college-level math
UHCC Pilot Placement Project - 2014
Introductory
college-level
mathematics
placement
DOE Class of 2014 seniors admitted for Fall 2014 at:
ENG 100
placement
Introductory college-level mathematics placement:
Kauai Community College
UH Maui College
Windward Community College
Algebra 2 grade of C or better & cumulative GPA 2.6 or higher
OR
Minimum SAT Math 510 or ACT Math 22
ENG 100 placement:
Last ELA grade of B or better & cumulative GPA 3.0 or higher (Kauai CC only)
OR
Minimum SAT Critical Reading 510 or ACT English 22 (18 Windward CC only)
Transitions to College Gateway Math
UH Gateway
Math
COMPASS
Campus
Placement Test
Standardized Test
Score (ACT, SAT)
12th Grade
11th Grade
Hawaii State
Assessment
12th Grade
Math
Transition
Class
Smarter Balanced Assessment
9th Grade
8th Grade
HSA
Smarter
Balanced
Assessment
Dual Credit
ACT
UHCC Pilot
Placement
(Algebra 2 Grade
& GPA)
10th Grade
UHCC
Developmental
Math
ACT Plan
ACT Explore
Math Summit Questions
• What are the high school math courses and HSA scores
of students who transitioned to college-level math at UH?
• What is the relationship between ACT math scores and:
– 10th grade HSA
– 11th grade math course
– 8th and 10th grade HSA
– 8th grade HSA and 9th grade math course
General Math Course Pathways
8th Grade
TRADITIONAL
SEQUENCE
ADVANCED
SEQUENCE
Math Grade 8
Algebra I
9th Grade
Algebra I
Geometry
10th Grade
Geometry
Algebra II
11th Grade
12th Grade
Algebra II
Alg3/Trig
Prob/Stats
Precalculus
Alg3/Trig
Precalculus
(AP) Calculus
AP Statistics
Dual Credit
~35% no math
High School to UH Math Course Levels
Percent distribution of UH math course enrollments in first fall after high school graduation, by highest DOE math course taken
Highest DOE Math Course
Graduates
2010-2013
UH Math Course Level (Fall 2010-Fall 2013)
College-level
Developmental
Remedial
17,283
23.6%
20.0%
14.8%
Calculus/AP Calculus/AP Statistics
1,801 (10%)
56.3%
5.6%
2.7%
Precalculus/Analytic Geometry
3,130 (18%)
41.3%
16.3%
2.9%
Algebra 3/Trigonometry
1,914 (11%)
34.6%
15.5%
7.1%
Probability/Statistics
1,272 (7%)
11.2%
26.1%
22.3%
Algebra 2
Algebra 2
5,978 (35%)
13.5%
27.7%
17.4%
Lower
than
Algebra 2
Geometry
2,023 (12%)
1.9%
17.9%
33.9%
Algebra 1 or Lower
690 (4%)
2.3%
16.1%
32.8%
Math Data Not Available
475 (3%)
20.4%
17.7%
10.3%
Statewide
Higher
than
Algebra 2
Χ2(28, N=17283)=3823, p<.001; Cramer’s V = .243 (moderate relationship)
UH Math Course Level and 10th Grade HSA
Percent distribution of UH math course enrollments in first fall after high school graduation, by 10 th grade HSA proficiency level
Graduates
2010-2013
10th GRADE HSA MATH PROFICIENCY LEVEL
w/10th Gr HSA
4 Exceeds
Proficiency
3 Meets
Proficiency
2 Approaches
Proficiency
1 Well Below
Proficiency
16,189
16.0%
32.8%
28.4%
22.9%
College-level
3,841 (24%)
36.9%
44.7%
15.1%
3.3%
Developmental
3,244 (20%)
5.1%
37.5%
40.0%
17.3%
Remedial
2,391 (15%)
0.4%
9.1%
35.2%
55.3%
840 (5%)
12.4%
34.9%
30.7%
22.0%
5,873 (36%)
15.2%
31.6%
27.4%
25.7%
UH MATH COURSE LEVEL
Fall 2010 - Fall 2013
Statewide
Other or Technical
No Enrollment
Χ2(12, N=16189)=4509, p<.001; Cramer’s V = .305 (strong relationship)
ACT Math Score Distribution
ACT Math Score Distribution
SY2012-13 11th graders (Class of 2014)
2000
1750
Ready for college math*
22 and above: 1,976 (20.1%)
1500
1250
Valid N: 9,832
Mean: 18.16
Standard Deviation: 4.07
Range: 6-36
1000
750
500
250
0
1
2
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
*50% chance of earning a B or higher grade or 75% chance of earning a C or higher grade in
College Algebra course
ACT Math Score Distribution
by 10th Grade HSA Math Proficiency Level
800
Average
ACT
% College
Ready (22+)
24.5
76%
700
4 Exceeds Proficiency
600
500
400
300
200
100
0
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
ACT Math Score Distribution
by 10th Grade HSA Math Proficiency Level
800
Average
ACT
% College
Ready (22+)
4 Exceeds Proficiency
24.5
76%
3 Meets Proficiency
19.2
25%
700
600
500
400
300
200
100
0
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
ACT Math Score Distribution
by 10th Grade HSA Math Proficiency Level
800
Average
ACT
% College
Ready (22+)
4 Exceeds Proficiency
24.5
76%
3 Meets Proficiency
19.2
25%
2 Approaches Proficiency
16.2
2%
700
600
500
400
300
200
100
0
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
ACT Math Score Distribution
by 10th Grade HSA Math Proficiency Level
800
Average
ACT
% College
Ready (22+)
4 Exceeds Proficiency
24.5
76%
3 Meets Proficiency
19.2
25%
2 Approaches Proficiency
16.2
2%
1 Well Below Proficiency
14.8
0.4%
700
600
500
400
300
200
100
0
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
ACT Math by 10th Grade HSA Math
10th Grade HSA Math PL
ACT Percentile Rank
Score
National Rank
% of Total*
Average ACT Math
4 Exceeds Proficiency
11%
24.5
25
24
79%
73%
3 Meets Proficiency
39%
19.2
20
19
52%
47%
2 Approaches Proficiency
24%
16.2
17
16
36%
27%
1 Well Below Proficiency
17%
14.8
15
14
15%
6%
*9.6% of students with ACT math scores did not have a 10th grade HSA math score
Relationship between 10th Grade HSA Math Scale Score & ACT Math Score
• Pearson r = .749, p<.001
• 56% of variance in ACT Math explained by 10th Grade HSA Math
10th Grade HSA Meets Proficiency & ACT Math
Percent distribution of ACT Math scores, by 10th grade HSA Math scale scores
10th Grade HSA Math
Scale Score for
3 Meets Proficiency
SY2012-13
11TH Graders
ACT MATH SCORE RANGE
(Class of 2014)
≤13
14-17
18-21
22+
3,812
0.5%
40.7%
33.4%
25.5%
330-335
305 (8%)
-
18.0%
26.9%
55.1%
325-329
304 (8%)
-
21.7%
30.3%
48.0%
320-324
383 (10%)
-
24.8%
39.2%
36.0%
315-319
522 (14%)
<1%
33.7%
36.0%
30.1%
310-314
587 (15%)
<1%
42.8%
35.8%
20.8%
305-309
761 (20%)
1.4%
49.1%
31.5%
17.9%
300-304
950 (25%)
<1%
56.2%
32.6%
10.9%
3 Meets Proficiency Total
Relationship between 10th Grade HSA Math Scale Score & ACT Math Score
• Pearson r = .380, p<.001
11th Grade Math Course and ACT Math
Percent distribution of ACT Math scores, by 10th grade HSA proficiency level
11th
GRADE MATH
COURSE
SY2012-13
11TH Graders
ACT MATH SCORE RANGE
(Class of 2014)
≤13
14-17
18-21
22+
9,832
4.0%
55.9%
20.0%
20.1%
1,700 (17%)
0.1%
18.1%
23.4%
58.4%
Algebra 3/Trigonometry
406 (4%)
0.5%
21.9%
31.0%
46.6%
Probability/Statistics
198 (2%)
7.6%
68.7%
13.6%
10.1%
Algebra 2
4,342 (44%)
2.4%
58.9%
24.6%
14.1%
Geometry
2,082 (21%)
7.3%
77.8%
11.3%
3.6%
Algebra 1 or Lower
722 (7%)
13.0%
80.6%
5.4%
1.0%
No 11th Grade Math Course
382 (4%)
5.0%
54.7%
19.4%
20.9%
Statewide
Precalculus or higher
rs = .519, p<.001
8th & 10th Grade HSA Math to ACT Math
10th GRADE HSA MATH
8th GRADE
HSA MATH
4 Exceeds Proficiency
3 Meets Proficiency
2 Approaches Proficiency
1 Well Below Proficiency
4 Exceeds
Proficiency
25.4
21.5
18.0
84.2%
48.5%
11.0%
3 Meets
Proficiency
22.1
19.3
17.0
16.4
54.2%
23.3%
3.5%
4.2%
2 Approaches
Proficiency
18.4
17.2
16.1
15.3
9.5%
6.6%
0.8%
0%
1 Well Below
Proficiency
16.6
15.9
15.3
14.5
15.4%
0.8%
0.2%
0.3%
* Small cell size
Total N = 7,610
SY2012-13 11th graders with ACT math score who also had 8th grade and 10th grade HSA math scores
*
Average ACT
Math Score
% College Ready
(ACT 22+)
8th Grade HSA, 9th Grade Math to ACT Math
9th Grade Math Course
8th Grade HSA Math Proficiency
Level
4 Exceeds Proficiency
3 Meets Proficiency
2 Approaches Proficiency
1 Well Below Proficiency
No 8th Grade HSA
TOTAL
Avg ACT Math (% 22+)
% of students
Avg ACT Math (% 22+)
% of students
Avg ACT Math (% 22+)
% of students
Avg ACT Math (% 22+)
% of students
Avg ACT Math (% 22+)
% of students
Avg ACT Math (% 22+)
% of students
Geometry or
Geometry &
higher
Algebra I
24.8 (77.8%)
22.6 (62.3%)
21.1 (44.6%)
8.8%
1.8%
8.1%
21.0 (42.9%)
18.9 (23.7%)
18.2 (13.5%)
5.3%
2.1%
19.7%
18.1 (14.9%)
16.6 (4.8%)
16.2 (1.8%)
1.6%
1.7%
16.9%
14.9 (0%)
15.1 (0%)
14.9 (0.4%)
0.5%
2.6%
19.0%
22.1 (53.7%)
19.4 (31.3%)
17.3 (11.4%)
1.7%
1.9%
7.8%
22.5 (57.4%)
18.2 (22.2%)
17.1 (10.6%)
17.8%
9.5%
71.5%
Algebra I
Starting in SY2010-11 Pre-Algebra
no longer offered in high schools
Students who could have taken
Algebra I in the 8th grade?
Students who could benefit
from additional support before
taking geometry in the 9th
grade?
Students who need more 8th
grade math support?
Should Algebra I and Geometry be taken in the same year?
Total N = 8,736
SY2012-13 11th graders with ACT math score who also had a DOE 9th grade math course
8th Grade HSA Math Proficiency
4 Exceeds
3 Meets
2 Approaches
1 Below
60.3% Proficient
SY 2013-14
CLASS: 2018
20.8%
39.4%
SY 2012-13
CLASS: 2017
15.4%
44.8%
SY 2011-12
CLASS: 2016
15.7%
44.9%
SY 2010-11
CLASS: 2015
S Y 2009-10
2009-10
SY
C
L
A
S
S : 2014
2014
CLASS:
13.2%
18.1%
23.1%
23.9%
14.8%
26.5%
22.5%
45.7% Proficient
Source: HIDOE ARCH Accountability Data Center
15.6%
24.4%
42.7%
27.6%
16.5%
17.4%
31.6%
10th Grade HSA Math Proficiency
4 Exceeds
3 Meets
2 Approaches
1 Below
43.4% Proficient
SY 2013-14
CLASS: 2016
12.3%
SY 2012-13
CLASS: 2015
12.3%
S Y 2011-12
2011-12
SY
C
L
A
S
S : 2014
2014
CLASS:
9.8%
SY 2010-11
CLASS: 2013
9.0%
SY 2009-10
CLASS: 2012
14.4%
31.1%
29.3%
34.6%
26.4%
26.5%
26.3%
26.1%
37.5%
32.0%
25.4%
29.5%
24.0%
39.8% Proficient
Source: HIDOE ARCH Accountability Data Center
27.2%
29.2%
36.0%
Summary of Data
• Students enrolled in a college-level math in their first fall at UH
– High school math: Algebra 3/Trigonometry or higher
– 10th grade HSA math: meets or exceeds proficiency (stronger relationship)
• Relationship with ACT math scores
10th
grade HSA
11th grade math
course
• 4 Exceeds Proficiency: 76% “College ready”
• Strong relationship between these scores
• More likely to be “College ready” if Alg3/Trig or higher
• Moderate relationship between course and scores
Summary of Data
• Relationship with ACT math scores
8th & 10th grade HSA
8th
grade HSA &
9th grade math course
• More likely to be “College ready” if earned 4 Exceeds
Proficiency in 8th or 10th grade
• Students who were not proficient in any year were much
less likely to be “College ready”
• Students who reach Geometry in 9th grade more likely
to be “College ready” if they were proficient in math in
the 8th grade
• HSA proficiency trends
– 8th grade: increased proficiency, decreased Well Below Proficiency
– 10th grade: slight increase in proficiency, decrease in Well Below Proficiency
2014 Math Summit Objective
How can we use our understanding of
The math concepts students
should understand
• Hawai‘i Common Core Standards
• University of Hawai‘i expectations
How well students understand
those concepts
• Smarter Balanced Assessments
• ACT or SAT scores
• Other variables (grades, GPA, etc.)
To more effectively support students as they progress, particularly at
key transition points
12th grade
Postsecondary
8th grade
9th grade