WVEB Algebra Project

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WvEB Mathematics: A successful web enhanced project offering college level courses to high school students.

Dr. Laura J. Pyzdrowski

WvEB Project Director and WvEB Algebra Coordinator

Dr. Mike Mays, WvEB Trigonometry Coordinator and NSF CCLI Principal

Investigator:

CCLI project number 0339117.

Dr. Anthony S. Pyzdrowski, WvEB Technology Consultant www.wvebmath.ws

What is WvEB Math?

• How was the project developed?

Steering Committee

• V. J. Benokraitis

• Connie Dale

• Bruce Flack

Deborah Brown

Bruce Ebanks

Elizabeth Dale

• James Denvir

• Carl Johnson

Murrel Hoover

David Kennedy

• Larry Lamb

• Diana Munza

James Miller

Mary Poling

• Laura Pyzdrowski Gary Seldomridge

• Deborah Seldomridge Judy Silver

• Sue Steinbeck

• Donna Watson

Joe Urbanski

WvEB Course

• A college-level mathematics course for high school students

• The structure of the course allows for concurrent enrollment.

What is WvEB Math?

• What are the project objectives?

GOALS

• To help students remain in a mathematics pathway while in high school, and allow for a smooth transition into entry level college mathematics

• Increase WV College Going Rates

• Increase WV Math ACT Scores

High School Students

• Experience the Pace of a University Course

• Gain Confidence in Mathematical Ability

– Entice students into STEM fields

• Avoid Senior Mathematics Void

What is WvEB Math?

• How does a course work?

Design

• WvEB Algebra and Trigonometry target the

“middle track” student.

• WvEB Algebra is now aligned with Algebra III in

West Virginia

Design

• Higher Education Instructor of Record

• High School Teacher Facilitator

• Use of Content Standards and Objectives

– Algebra III credit

• Students are counseled as to course appropriateness.

Design

• Students use a graphing utility/graphing calculator.

• Students work in groups when appropriate.

• Students will be exposed to problem solving in context.

• Students make connections among tables of numbers, algebraic analysis, and graphs.

WvEB Mathematics Course

Components

• Reading Assignments (Text Component)

• Lectures (CD Component or video streaming)

• Laboratories (School Lab/CD/Web Component)

• Homework (Text Component)

• Homework Quizzes (Web Component)

• Tests (Given at High School Site and Proctored)

• Facilitator Input

• Instructor/Facilitator/Student Communication

(Web Component)

Facilitator

• The facilitator for the project must be a certified high school mathematics teacher,

• is the instructor of record for the high school credit portion of the course,

• and must attend professional development sessions to become familiar with the technological components of the course as well as the course material and requirements.

WvEB “Perks”

• “Salary” of $80/student for up to 10 students. For 10 students or more the

“salary” is $1000

• To teacher if offered outside of school day

• To county if offered during school day

• No Minimum number of students required

Structure

The structure at each site will vary.

Students meet during scheduled times to discuss and do mathematics and take tests. ( Contact hours of at least 3 hours per week for 15 weeks)

There is supervised group work for the interactive computer laboratories.

Placement

• Hosting Higher Education Institutions use individual placement requirements.

• Use Math ACT research version for formative assessment.

WvEB Eligibility

• An overall GPA of 3.0

• An earned “C” or better in Algebra 1, Algebra 2, and

Geometry

– in addition, WvEB Trig requires a “C” or better in WvEB

Algebra

• High School permission for the student to take the course

– Some High Schools have additional requirements.

• Meet other institutional entry requirements

Software/Hardware

Requirements:

• Windows 98, Me, 2000 or XP system

• Internet Explorer and Media Player

• A sound card and CD-ROM drive

What is WvEB Math?

• How long have the courses been offered?

WvEB Student Participation

WvEB Trigonometry WvEB Algebra

Fall 2000 29 students

Spring 2001 50 students

Fall 2001

Spring 2002

20 students

107 students

Fall 2002

Spring 2003

Fall 2003

Spring 2004

Fall 2004

105 students

67 students

218 students

100 students

181 students

Spring 2005

Fall 2005

Spring 2006

Fall 2006

Spring 2007

Fall 2007

Spring 2008

Fall 2009

Spring 2009

94 students

196 students

111 students

257 students

95 students

315 students

79 students

402 students

72 students

Spring 2003 83 students

Spring 2004 161 students

Spring 2005 165 students

Spring 2006 158 students

Spring 2007 174 students

Spring 2008 204 students

Spring 2009 237 students

What is WvEB Math?

• Has the project been successful?

WvEB Algebra

WVU-Morgantown Sites

Bridgeport

Calhoun

East Fairmont

Grafton

Hedgesville

Liberty

Moorefield

North Marion

Ripley

Roane County

Tygarts Valley

Trinity

Brooke

Clay-Battelle

Elkins

Fairmont

John Marshall

Lincoln

Morgantown

Preston

Robert C. Byrd

South Harrison

University

WvEB Algebra

Other Sites

• Concord: Cecilia Fizer

– Pike View High School

– Interest from Princeton and Bluefield High

School

WvEB Trigonometry

WVU-Morgantown Sites

• Clay-Battelle High School

• Elkins High School

• Fairmont Senior High School

• Liberty High School

• Morgantown High School

• North Marion High School

• Robert C. Byrd

• Roane County High School

• Trinity High School

• Tygart’s Valley High School

• University High School

• Preston County High School

WvEB Algebra

Initial Results

• 29 Student Participants in Fall 2000

Grade A B C D F W

Number 6 11 4 1 7

WvEB Algebra

Initial Results

Course WVU WvEB Algebra Total WvEB Algebra WVU On Campus Algebra

Semester Fall 2000 Fall 2000 Fall 2000

Grade Avg.

2.9

D/F/W rate 10%

3.1

28%

2

47%

WvEB Algebra

Results Fall 2000

Table t Test For Pre and Post Accuplacer Scores For WvEB Fall 2000

Time of Test

Pre

Post

* p< .005

M

36.81

49.04

SD

17.29

22.29

t

-3.37 *

Scores on Accuplacer

• Scores of 40 or less : < 20th percentile

• Scores of 41 to 62: 20th - 50th percentile

• Scores of 63 to 85: 50th - 80th percentile

• Scores of 86 to 102: 80th - 90th percentile

• Scores of 103 to 120: 90th - 100th percentile

WvEB Algebra

2003-2004 Results

• 318 Student Participants

• 8 percent D/F/W rate

Grade A B C D F W

Number 152 113 27 15 3 8

WvEB Trigonometry

Spring 2004 Results

• 161 Student Participants

• 4 percent D/F/W rate

A B C D F W I

99 48 8 1 2 2 1

Accuplacer Scores

WvEB Math; n=53

Fall 2003 - Spring 2004

Table t Test For Accuplacer Scores For WvEB Math Fall 2003-Spring 2004

Time of Test

Pre Alg

Post Trig

* p< .0001

M

39.58

59.55

SD

15.3

25.9

t

*-5.9

Scores on Accuplacer

• Scores of 40 or less : < 20th percentile

• Scores of 41 to 62: 20th - 50th percentile

• Scores of 63 to 85: 50th - 80th percentile

• Scores of 86 to 102: 80th - 90th percentile

• Scores of 103 to 120: 90th - 100th percentile

Data Analysis

The following table shows the mean, standard deviation, F -values, and significance levels for all ACT administrations for all students enrolled in both WvEB Algebra and WvEB

Trigonometry for School Years (SY) 2004-

2005, 2005-2006, and 2008-2009.

Scaled ACT analyses for students completing

WvEB Algebra

and

WvEB Trigonometry

SY 2004 - 2005 SY 2005 - 2006 SY 2008 - 2009

Test

Pre-Algebra

Post-Algebra

N Mean SD N Mean SD N Mean SD

95 20.91

3.33

115 20.65

3.82

175 20.55

4.40

95 22.18

3.65

115 22.22

3.95

175 23.13

4.79

Post-Trigonometry 95 21.22

4.55

115 23.37

4.79

175 24.13

4.98

Data Analysis

Results from pairwise comparisons indicated that the performance on the Post-Algebra administration ( M = 22.18, SD = 3.65) exceeded performance on both the Pre-Algebra ( M = 20.91,

SD = 3.33) and Post-Trigonometry ( M = 21.22, SD

= 4.55) administrations, but there was no significant difference between the Pre-Algebra and

Post-Trigonometry administrations.

A repeated-measures ANOVA indicated that there was a significant difference between the tests for

SY 2004-2005, F (2, 188) = 5.147, p = .007.

Data Analysis

For SY 2005-2006, there was also a significant difference between the tests, F (2, 228) = 24.282, p < .001. Pairwise comparisons revealed that performance on the Post-Algebra administration

( M = 22.22, SD = 3.95) significantly exceeded

Pre-Algebra test performance ( M = 20.65, SD =

3.82). Post-Trigonometry performances ( M =

23.37, SD = 4.79) also exceeded Post-Algebra performances.

Data Analysis

Data from SY 2008-2009 show similar significant results, F (2, 348) = 78.087, p < 0.0001. Pairwise analyses indicate that performance on the Post-

Algebra administration ( M = 23.13, SD = 4.79) exceeded Pre-Algebra ACT performance ( M =

20.55, SD = 4.40), and Post-Trigonometry performance ( M = 24.13, SD = 4.98) exceeded

Post-Algebra performance.

Data Analysis

All pairwise comparisons were significant at the p < 0.01 level except for the SY 2004-2005 Post-Algebra/Post-

Trigonometry comparison, which was significant at p < 0.025. These data suggest that the WvEB students make steady improvement in math achievement after each course, as determined by their performances on the ACT.

Matched Pair Study in Fall 2004

• 60 students enrolled in the WvEB College

Algebra course from one local high school were matched with students enrolled in oncampus College Algebra.

Matched Pair Study in Fall 2004

• The goal of the matched pairs was to get a homogenous sample of the on-campus students for comparison against the WvEB students.

• Matched according to gender

– papers drawn from a hat and coin tosses

– done by research assistant

Matched Pair – On Campus

• Completed Algebra I, Algebra II, and

Geometry in high school with a “C” or better

• At least a 3.0 high school grade point average

• On-campus students were first semester freshman who had just graduated from high school

Data Analysis

The following table provides the means and standard deviations for the ACT scaled pre- and posttest scores for both groups in the matched pair study. A mixed-measures analysis of variance (ANOVA) was conducted to evaluate the scaled ACT scores, using a between-subjects factor of Section ( WvEB , Campus) and a within-subjects factor of ACT (Pretest,

Posttest). There was no significant interaction between the two factors, nor was there a significant main effect of Section. There was a significant main effect of ACT, however, F (1, 107) = 20.695, p <

.001, with students gaining nearly a 1.5 scale point on the posttest ( M = 21.91, SD = 3.30) compared to the pretest ( M = 20.50, SD= 4.17).

Data Analysis

Fall 2004

Means and standard deviations of scaled ACT scores for On-campus and

WvEB students enrolled in College Algebra (Fall 2004).

Group N

On-campus 51

WvEB 58

Mean ACT pretest

20.69

20.33

SD ACT

pretest

2.96

5.02

Mean ACT posttest

22.71

21.21

SD ACT posttest

2.93

3.46

WvEB 04-05 Study

From the Fall 2004 WvEB Algebra and

Spring 2005 WvEB Trig pathway, 27 students entered the 4 credit Calculus

Course at WVU in Fall 2005.

The success rate of WvEB students ( C or better) was 55.6% as compared to the total on campus success rate of 52.3%

DFW Rates for Students in Calculus at WVU Morgantown

On Campus Math 155

4 credit Calculus

DFW rate

WvEB students

DFW rate all Students Semester

F05 44.4% = (12/27) 47.7%

F06 62.9% = (17/27)

F07 31.25% = (5/16)

F08 40.9% = (9/22)

57%

55.3%

35.5%

On Campus Math 150

3 credit Calculus

DFW rate

WvEB students

DFW rate all Students

26.6% = (4/15) 50.4%

30% = (6/20)

0% = (0/10)

9.1% = (1/11)

50.6%

41.8%

26.5%

WvEB 04-05 Study

• Preliminary Findings from questionnaire given to high school students

High School Questionnaire

WvEB 04-05 Study

Fall 2004 – 62 students responded

Spring 2005 – 55 students responded

Intended Major Number Responding

Fall 2004

WvEB Algebra

Spring 2005

WvEB Trigonometry

STEM (including secondary education mathematics)

Medical (pre-med, nursing, pharmacy, dentistry, exercise physiology)

Forensic Science

Business

Education (not including secondary education mathematics)

English/Journalism/Pre-law/Political

Science/Psychology/Music/Art/General Studies

Undecided

7

16

4

9

5

13

7

4

6

2

14

11

16

2

WvEB 04-05 Study

Fall 2004 – 62 students responded

Spring 2005 – 55 students responded

Like Math 42

Like Computers 59

Number Responding Yes

Fall 2004 Spring 2005

37

49

18

1

Number Responding No

Fall 2004 Spring 2005

16

5

Formative Assessment

Of the course components listed, circle all that helped in your understanding of the course material.

CD Lectures

Computer Quizzes

Homework Assignments

Reading Assignments

Laboratories

Of the course components listed, circle the one that was most helpful in your understanding of the course material.

CD Lectures

Computer Quizzes

Homework Assignments

Reading Assignments

Laboratories

WvEB 04-05 Study

All that helped

N = 130 Total

CD Lectures 13

HW - Book 90

Labs 86

Online Quiz 112

Reading 5

Percent

10

69.2

66.1

86.1

3.8

26

15

78

5

Helped the most

Total Percent

6 4.6

20

11.5

60

3.8

What are the next steps for the

WvEB Project?

• Recruit more Higher Education Institutions to offer the course

• Recruit more high schools to participate

Have Questions ? Get Answers!

• www.wvebmath.ws

• For more information, email:

– lpyzdrow@math.wvu.edu

– mays@math.wvu.edu

– anthony@pyzdrowski.ws

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