27
DOCUMENT RESUME ED 424 311 UD 032 574 AUTHOR Madrid, George; Powers, Paul; Galvin, Kevin; Kester, Donald L.; Santos, Will; Yamarone, Steve TITLE Jaime Escalante Mathematics and Science Program. National Science Foundation. Final Project Report. PUB DATE 1997-00-00 NOTE 32p.; "Different sets of results of analyses in this report were presented at annual conferences of the American Evaluation Association: (1) in Washington, D.C. in 1990; (2) in Chicago in 1991; (3) in Seattle in 1992, and (4) in Dallas in 1993." PUB TYPE Reports Evaluative (142) -- Speeches/Meeting Papers (150) EDRS PRICE MF01/PCO2 Plus Postage. DESCRIPTORS *Curriculum Development; Educational Practices; High Schools; Inner City; Junior High Schools; Mathematics Achievement; *Mathematics Instruction; Middle Schools; Program Effectiveness; Program Implementation; Student Motivation; Summer Schools; Tutoring; Urban Schools; *Urban Youth IDENTIFIERS *Escalante (Jaime); Los Angeles City Schools CA; *National Science Foundation; Research Replication ABSTRACT The mathematics teaching and learning practices of Jaime Escalante, nationally known mathematics teacher, were implemented in a team approach in two high schools and three middle schools in Los Angeles (California) . The 13 original project objectives were condensed into restructuring the curriculum, improving student performance, especially in mathematics, and replicating the program. There were nine program components: (1) summer academic instruction for 500 inner-city minority students; (2) Saturday school 29 times in an academic year; (3) afternoon tutoring; (4) peer tutoring; (5) parental involvement; (6) inservice teacher education; (7) curricular development; (8) intersegmental cooperation; and (9) corporate partnership. Mr. Escalante's instructional and motivational practices were studied and described in a guide published for the program. Over the six years of funding for this program, it became clear that minority students whose parents' educational and income levels were low experienced extraordinary success in higher mathematics. It was possible to restructure the curriculum to increase the number of advanced mathematics and science courses, accelerate and improve student mathematics achievement, and replicate the program beyond the two initial high schools. Teachers trained in the program were able to implement these practices successfully. Six appendixes present data on student calculus achievement and program replication, the executive summary of the instructional guide created in the program, and photos of project students and staff. (Contains three tables and five figures.) (SLD) ******************************************************************************** Reproductions supplied by EDRS are the best that can be made from the original document. ********************************************************************************

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Page 1: DOCUMENT RESUME AUTHOR Madrid, George; Powers, Paul ... · DOCUMENT RESUME. ED 424 311 UD 032 574. AUTHOR Madrid,George; Powers,Paul; Galvin, Kevin; Kester, Donald. L.; Santos, Will;

DOCUMENT RESUME

ED 424 311 UD 032 574

AUTHOR Madrid, George; Powers, Paul; Galvin, Kevin; Kester, DonaldL.; Santos, Will; Yamarone, Steve

TITLE Jaime Escalante Mathematics and Science Program. NationalScience Foundation. Final Project Report.

PUB DATE 1997-00-00NOTE 32p.; "Different sets of results of analyses in this report

were presented at annual conferences of the AmericanEvaluation Association: (1) in Washington, D.C. in 1990; (2)

in Chicago in 1991; (3) in Seattle in 1992, and (4) inDallas in 1993."

PUB TYPE Reports Evaluative (142) -- Speeches/Meeting Papers (150)EDRS PRICE MF01/PCO2 Plus Postage.DESCRIPTORS *Curriculum Development; Educational Practices; High

Schools; Inner City; Junior High Schools; MathematicsAchievement; *Mathematics Instruction; Middle Schools;Program Effectiveness; Program Implementation; StudentMotivation; Summer Schools; Tutoring; Urban Schools; *UrbanYouth

IDENTIFIERS *Escalante (Jaime); Los Angeles City Schools CA; *NationalScience Foundation; Research Replication

ABSTRACTThe mathematics teaching and learning practices of Jaime

Escalante, nationally known mathematics teacher, were implemented in a teamapproach in two high schools and three middle schools in Los Angeles(California) . The 13 original project objectives were condensed intorestructuring the curriculum, improving student performance, especially inmathematics, and replicating the program. There were nine program components:(1) summer academic instruction for 500 inner-city minority students; (2)

Saturday school 29 times in an academic year; (3) afternoon tutoring; (4)

peer tutoring; (5) parental involvement; (6) inservice teacher education; (7)

curricular development; (8) intersegmental cooperation; and (9) corporatepartnership. Mr. Escalante's instructional and motivational practices werestudied and described in a guide published for the program. Over the sixyears of funding for this program, it became clear that minority studentswhose parents' educational and income levels were low experiencedextraordinary success in higher mathematics. It was possible to restructurethe curriculum to increase the number of advanced mathematics and sciencecourses, accelerate and improve student mathematics achievement, andreplicate the program beyond the two initial high schools. Teachers trainedin the program were able to implement these practices successfully. Sixappendixes present data on student calculus achievement and programreplication, the executive summary of the instructional guide created in theprogram, and photos of project students and staff. (Contains three tables andfive figures.) (SLD)

********************************************************************************

Reproductions supplied by EDRS are the best that can be madefrom the original document.

********************************************************************************

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NATIONAL SCIENCE FOUNDATION

FINAL PROJECT REPORT

JAIME ESCALANTE MATHEMATICS ANDSCIENCE PROGRAM

U.S. DEPARTMENT OF EDUCATIONOffice of Educational Research and Improvement

EDUCATIONAL RESOURCES INFORMATION

CENTER (ERIC)*This document has been reproduced asreceived from the person or organization

originating it.

0 Minor changes have been made to

improve reproduction quality.

Points of view or opinions stated in thisdocument do not necessarily representofficial OERI position or policy.

_ .

Or)

PERMISSION TO REPRODUCE ANDDISSEMINATE THIS MATERIAL HAS

BEEN GRANTED BY

Tau/ M . Po (..4.-)eiRS

TO THE EDUCATIONAL RESOURCESINFORMATION CENTER (ERIC)

1

Different sets of results of analyses in this report were presented by Dr. Don Kester atannual conferences of the American Evaluation Association: (1) in Washington, D.C.

in 1990, (2) in Chicago in 1991, (3) in Seattle in 1992, and (4) in Dallas in 1993.

19972

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NATIONAL SCIENCE FOUNDATIONFINAL PROJECT REPORT

Jaime Escalante Mathematics and Science Program

Table of Contents

Summary of Completed Project

Appendix A, Table 1:. Ethnic Identity Within Four Populations

Appendix A, Figure 1: Ethnic Identity Within Four Populations

Appendix A, Table 2: Highest Educational Level of Most Educated Parent

Appendix A, Figure 2: Highest Educational Level of Most Educated Parent

Appendix A, Table 3: Annual Household Income

Appendix A, Figure 3: Annual Household Income

Appendix B, Figure 4: Restructuring the Schools, Garfield High, Math Classes

Appendix B, Figure 5: Restructuring the Schools, Garfield High, Science Classes

Appendix C: Achievement on Calculus AB Advanced Placement Test,Garfield High School (Number of Students)

Appendix C:

Appendix C:

Appendix C:

Appendix D:

Appendix D:

Appendix E:

Appendix F:

Appendix F:

1

5

6

7

8

9

10

11

12

13

Achievement on Calculus AB Advanced Placement Test, 14Roosevelt High School (Number of Students)

Percentage of Students Passing Calculus AB Advanced Placement Test, 15Garfield High School (Number of Students)

Percentage of Students Passing Calculus AB Advanced Placement Test, 16Roosevelt High School (Number of Students)

Replicating the Results, Calculus AB (Numbers Passing), 17Ruben S. Ayala High School / Don Antonio Lugo High School

Replicating the Results, Calculus AB Percent Passing, 18Ruben S. Ayala High School / Don Antonio Lugo High School

Executive Summary, "An Instructional Guide. " 19

Photo, Project Students 22

Photo, Project Teachers and Staff 23

3

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The National Science Foundation FundedJaime Escalante Mathematics and Science Project

1993-1996By

George Madrid, DirectorPaul Powers, Associate Director

Kevin Galvin, Internal Program EvaluatorEast Los Angeles College Escalante Project

andDr. Donald L. Kester, External Program Evaluation Consultant,

Will SantosSteve Yamarone

Administrative AnalystsLos Angeles County Office of Education, Downey, California

Summary of Completed Project

Projects Major Thesis:

Evidence of Mr. Jaime Escalante's positive influence on schools, students andteachers in the NSF funded project will be demonstrated through such outcomes as:1.) The schools will become restructured by increasing the number of advanced mathand science courses, and 2.) The students will take and pass the ETS advancedplacement test in Calculus AB in significantly greater numbers than before the project.In so doing, project students will qualify for advanced placement credit in colleges anduniversities in significantly greater numbers.

The two outcomes above would provide evidence that the project teachersbecame an instructional team, guided by Mr. Escalante; and did learn and implementhis successful teaching techniques and attitudes. During Jaime's tenure thesetrained instructors took valuable lessons back to their participating project schools(two high schools and their three feeder middle schools).

It was always understood at NSF and the Escalante Mathematics Programoffice that one very important outcome of the program's success would be:3.) Whether or not the program could be replicated elsewhere.

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II The Primary Objectives and Scope:

The thirteen original program objectives could be condensed into the followingtwo major areas: 1.) Restructuring of the curriculum at the junior and senior highschools, and 2.) Improving student performance especially in mathematics.

Improvement of the teaching and learning processes as guided by the masterteacher was to be demonstrated by restructuring the curriculum and improvingstudent performance.

The third primary objective was: 3.) Replicating the program elsewhere.

III Approaches used:

The program itself had nine component parts, each of which can be thought ofas an approach to reach the three primary objectives mentioned above. In addition,Jaime himself used and passed on a number of teaching and motivating practiceswhich can be thought of as approaches he used in working toward the secondobjective of improving student performance.

The nine approaches or components of the program were:

1. Summer Program - Summer Programs included basic academicinstruction and cultural enrichment activities for 500 inner city,minority students.

2. Saturday School - To support the gains made during the intensivesummer programs students attended a specially designed Saturdayprogram 29 times an academic year.

3. Afternoon Tutoring - To reinforce the day's instruction and to keepall students current, the high school and junior high schoolteachers were available, along with tutors, from 3:00 p.m. to5:00 p.m. Mondays through Thursdays, fall and spring.

4. Peer Tutoring - Peer tutoring was available during the summerprogram Saturday sessions, and afternoons fall and spring.Successful students interested in careers as math teachers weretrained to provide peer tutoring for high school students.

2

5

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5. Parental Involvement - Parental involvement is essential tostudent's success. This project supported a variety of strategiesthat were effective in creating a climate of parentalinvolvement.

6. In-service - Extensive in-service was provided to teachers,counselors, and parents to develop the expertise needed for ahigh quality, model program. Program staff enhanced theircapabilities to assess student progress and adapt instruction toindividual needs. New, pervasive motivational strategies werereviewed. Parents and counselors received training to understandthe special needs of the target population.

7 Curricular Development - This project involved original,comprehensive, well planned, systematic, and carefullyconstructed curricula sensitive to the unique needs of thesestudents. Teachers manuals, curriculum materials, and lessonguides were developed for use by program staff. This led to anincrease in the number of advanced courses offered.

8. Intersegmental cooperation - This program brought togetherteachers, counselors, and staff from junior and senior highschools to improve course articulation and to better address theunique needs of the target population.

9. Corporate Partnership - This project helped these students toexplore the linkages between school and work. In cooperationwith the project's corporate sponsors mock were undertaken andcorporate mentors, career guidance workshops, workexperience options, and tours of work sites were provided.

Mr. Escalante's successful teaching and motivating practices were investigatedand the results presented in "An Instructional Guide...", a 108 page report previouslysubmitted to NSF, a copy of which is enclosed. In addition an "Executive Summary" tothe "Guide" can be found in the appendix of this final project report.

Briefly those successful practices were summarized into three maincategories: 1.) Personal characteristics: e.g., "is often funny or humorous," "capturesand holds my attention," etc.; 2.) Mathematical skill development: e.g., "callsattention to diagrams," "gives me a lot of math problems to do," etc.; and3.) Cognitive restructuring including high teacher expectations: e.g., "has helped mesee that education is important," "expects me to achieve and do well in math," etc.(Please see Appendix E)

3

6

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IV Findings and Implications:

Over the six years of NSF funding a clear result was that minority studentswhose parents' educational and income levels were low experienced extraordinarysuccess in higher mathematics. (See Appendix A and Appendix C)

Furthermore it was clear that it was possible to:

1. Restructure junior and senior high school curriculum so as toincrease the number of advanced math and science courses tobetter serve the needs of minority students (See Appendix B),

2. Accelerate and improve minority student performance inmathematics (See Appendix C), and

3. Replicate the program elsewhere: That is, beyond Garfield andRoosevelt High Schools (See Appendix D).

Mr. Escalante left Garfield High in June 1991 to go to Hiram Johnson HighSchool in Sacramento, California. The National Science Foundation is already awareof the successes of that program since it was funded by the NSF.

Mr. Angelo Villavicencio, a mentee of Mr. Escalante left Garfield in July, 1992.Mr. Villavicencio spent three years at Ruben S. Ayala High School and one year at DonAntonio Lugo High School, both in Chino, California. In both high schools heproduced calculus teams that scored well in both number taking and number passingthe Calculus AB Advanced Placement test (See Figures 10 and 11 in Appendix D).

4

7

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Appendix AStudents of The Escalante Mathematics Project

Table 1Self-reported Ethnic Identity Within Each of Four Populations

Population

Ethnic Identity

White notHispanic

Black notHispanic

Hispanic Asian NativeAmerican

aUnited States 1980 79.00% 12.00% 6.00% 2.00% 1.00%

California 1986 b 47.10% 8.70% 33.00% 10.40% 0.80%

Los Angeles County 1989 c 26.10% 12.70% 50.45% 10.50% 0.30%

Escalante Math Project 1990d

1.10% 0.50% 91.70% 6.40% 0.30%

Note: Asians includes: Japanese, Chinese, Korean, Vietnamese, Filipino, and Pacific Islander.Native American includes Ameiican Indian and Alaskan Native.

a.

b.

C.

d.

U.S. Bureau of the Census, PC 80-I-B6 California or PHC 80-SC-6, California. The total U.S.population in 1980 was 227,757 as reported in U.S. Bureau of the Census, Current PopulationReports, series P-25 Nos. 802, 1023, and 1046. Comparable 1990 census data were notavailable.

California Basic Educational Data Systems (CBEDS), 1989-90. Total K-12 enrollment for thestate was 4,771,978.

California Basic Educational Data Systems (CBEDS), 1989-90. Total K-12 enrollment for thecounty was 1,366,568.

Student respondents were 372 participants in the Jaime Escalante Mathematics Project (1989-1991) who completed a demographic data questionnaire during the project's 1990 summersession.

5

8

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Escalante MathProject (1990)

Los AngelesCounty (1989)

California (1989)

USA (1980)

Appendix AStudents of The Escalante Mathematics Project

Figure 1.Self-reported Ethnic Identity Within Each of Four Populations

0.3%

Mi10.5%

12.7%

10.4%

8.7%

0.2%

12.0%

0.6%

50.4%

33.04

47.1%

91.7°/

O Native American

si Asian

El Black Not-Hispanic

o H ispanic

White-Not Hispanic

79.0%

0% 20% 40% 60% 80% 100%

Percentage

6

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Appendix AStudents of The Escalante Mathematics Project

Table 2Highest Educational level Reached by Student's More Educated Parent

Within Each of Three Populations

Population

Highest Educational Level

Is Not a HighSchool Graduate

Is a HighSchool

Graduate

CompletedSome

College

Is a Four-year Completed anCollege Advanced

Graduate Degree

Escalante Math Project 1990 a 58% 29% 8% 4% 1%

Los Angeles County 1990 b 21% 18% 19% 19% 12%

California 1990 c 14% 17% 23% 21% 14%

a. Student respondents were 307 participants in the Jaime Escalinte Mathematics Project (1989-1991) who completed a demographic data questionnaire during the project's 1990 summersession. That questionnaire included two additional response categories, attended vocationaltrade or business school after high schoolLess than two years, two years or more. The eightpercent of Escalante project students who selected these categories are included in the cat-egory, is a high school graduate. Data shown are for the respondent's father who proved to bethe more educated parent.

b. California Assessment Program (CAP), 1990.ers in Los Angeles County.

C. California Assessment Program (CAP), 1990.graders in California.

7

Student respondents were 51,186 twelfth-grad-

Student respondents were 212,915 twelfth-

1 0

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Appendix AStudents of The Escalante Mathematics Project

Figure 2.Highest Educational level Reached by Student's More Educated Parent

Wthin Each of Three Populations

California 1990

0rntr

Los Angeles County19900.

00-

Escalante MathProject 1990

14%

17 4

14%

23%

21%O Is Not a High School Graduate

O Is a High School Graduate

O Completed Some College

O Is a Four-year College Graduate

O Completed an Advanced Degree

0% 10% 20%

8

9%

30%

1 1

5

40% 50% 60% 70%

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Appendix AStudents of The Escalante Mathematics Project

Table 3Annual Household Income Within Three Populations

Population

Annual Household Income

$6,999 orless

$7,000-$11,999

$12,000-$15,999

$16,000-$19,999

$20,000-$24,999

$25,000-$37,999

$38,000 ormore

Escalante 1990a

14.1% 22.7% 12.9% 16.4% 12.9% 12.9% 8.2%

USA 1988b

7.9% 8.0% 6.9% 6.4% 10.5% 22.6% 37.7%

USA 1980 c 6.4% 11.5% 15.4% 17.8% 18.3% 16.4% 14.1%

a. Respondents were 256 parents whose son or daughter were participants in the JaimeEscalante Mathematics Project (1989-1991). These parents completed a demographic dataquestionnaire during the project's 1990 summer session.

b. Repondents were parents of 23,250 eighth graders who completed a parent questionnaire in1988 as part of the National Education Longitudinal Study of 1988 conducted by the NationalCenter for Education Statistics (NCES). National Education Longitudinal Study of 1988, BaseYear: Student Component Data File User's Manual, Center for Educational Statistics, (1990), p.59. The family income variable presented here is a composite variable. Eighth graders weremainstreamed students from: 1) public schools, 2) Catholic schools, 3) private religious schools(other than Catholic), and 4) private non-religious schools. Percentages shown have beenweighted. The original question provided fifteen responses categories. The fifteen weightedpercentages were compressed into the seven categories shown here by means of interpolationas suggested by the project officer at NCES. Because they have been weighted, percentagesare believed to reflect a 1988 representative national sample.

C. Respondents were 10,049 high school seniors who completed senior questionnaire in 1980 aspart of the High School and Beyond study conducted by the National Center for EducationStatistics (NCES). High School and Beyond, (1980), Senior Cohort Third Follow-up, (1986),Volume II, Data File User's Manual, Center for Education Statistics, (1987), pp. 8-55. Percent-ages shown have been weighted. Data are believed to reflect 1980 representative nationalsample.

9

12

IBEST COPY MAMA. LE

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40%

35%.-

30%.s

2596.-

Ca13.1

LI 2014.-

:rCi.

Appendix AStudents of The Escalante Mathematics Project

Figure 3.Annual Household Income

111Escalante 1990

- -ft- USA 1988

22.7%

12.9%

16.4%

o

13.090 . °F.."91075%

iii6.9%

'" ire4%..ies. ... '

12.9%

37.7%

8.2%

0%To $6,999 $7,000411,999 $12,000-$15,999 $16,000-$19,999 $20,000424,999 $25,000437.999 $38 000+

10

1 3

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STATISTICS

INTEGRATED MAT1-I 1

INTEGRATED MATH 2

ALGEBRA I

ALGEBRA II

GEOMETRY

CALCULUS BC

CALCULUS AB

MATH ANALYSIS

TRIGONOMETRY

Appendix BRestructuring The Schools

Figure 4.James A. Garfield High School

Total Number of Mathematics Classes Held

ErttiMM

;so ocieY, PIN,,i61114

mistWoricri,limot 411

MiNIMINOIN

35

1981

a 1990

0 92-93

0 93-94

94-95

0 95-96

96-97

40

40

0 5 10 15 20 25

NUMBER OF CLASSES HELD

30 35 40 45

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AP BIOLOGY

AP CHEMESTRY

AP PHYSICS

BIOLOGY

CHEMESTRY

PHYSICS

PHYSIOLOGY

Appendix BRestructuring The Schools

Figure 5.James A. Garfield High School

Total Number of Science Classes Held

sommusimosonv30

O 1981

El 1990

el 92-93

0 93-94

94-95

El 95-96

96-97

WE=MiNERIMPEINTIMPlidliFFNOTNINIESIIMITIORISM

1111111111111111111111111111111=

I47

45

0 5 10 15 20 25 30

NUMBER OF CLASSES HELD

12

15

35 40 45 50

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100 80 60 40 20

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18

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1985

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Appendix DReplicating The Results Elsewhere

Figure 10.

Ruben S. Ayala High School / Don Antonio Lugo High School

CALCULUS AB - REPLICATED PROGRAM

HIGH SCHOOL STUDENT ACHIEVEMENT ON ADVANCEDPLACEMENT TESTS OVER TIME

50 -

45

40 -

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1993 1994 1995

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Note: 1993-1995 data from Ruben S. Ayilla High School and 1996 data fromDon Antonio Lugo High School, Mr. Angelo Villavincencio, Instructor.

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Appendix DReplicating The Results Elsewhere

Figure 11.

Ruben S. Ayala High School / Don Antonio Lugo High School

100%

80%

CALCULUS AB

PERCENTAGE OF STUDENTS PASSING THE HIGH SCHOOLSTUDENT ACHIEVEMENT ON ADVANCED PLACEMENT

TESTS OVER TIME

20%

0%1993 1994

Year

1995 1996

Note: 1993-1995 data from Ruben S. Ayala High School and 1996 data fromDon Antonio Lugo High School, Mr. Angelo Villavincencio, Instructor.

18

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Appendix E

EXECUTIVE SUMMARYfor

AN INSTRUCTIONAL GUIDEConcerning the Highly Successful Teaching & Motivating Practices of Jaime Escalante

Prepared for the Escalante Math & Science Projectat East Los Angeles College

byDonald L. Kester, Ph.D.

Consultant, Program Evaluation & ResearchLos Angeles County Office of Education

A. Exceptional TeacherHe has been called: "a super-teacher," "America's most famous high school teacher," "amathematics miracle worker," and "the best teacher in America." His extraordinary success inteaching college-level calculus to inner-city, mostly poor, mostly Hispanic high school students inthe barrio of East Los Angeles has been chronicled not only in a book, Escalante: The BestTeacher in America, but also in the film, "Stand and Deliver."

B. ContextThe study on which the Instructional Guide is based is but a small part of a much larger effortknown as, "The Jaime Escalante Mathematics and Science Project." Now in its fifth-funded year,the project reaches more than 500 students in two high schools and three junior high schools.

C. Study Ililethodology to Produce the Instructional GuideUsing a program evaluation technique known as "data source triangulation," this investigationsought to identify and describe Jaime Escalante's highly successful teaching and motivatingpractices.

Figure 1Data Source Triangulation

Jaime Escalante

This technique involved asking Escalante'scalculus students, who had been with him forthree or four years, to complete aquestionnaire in which they would rankeach seventy-five ( 75 ) statements onresearch - proven teacher practices andattributes as more or less like him. (The scale

His His went from -9 to +9. ) Those statements hadColleagues Calculus Students been derived primarily from research

findings found in three sources: WhatWorks: Research About Teaching Learning (USDOE, 1987), Motivation: What Research Saysto the Teacher (NEA, 1990), and 'The Jaime Escalante Math Program" (Escalante and Dinnann,1990).

Two very knowledgeable colleagues of Escalante, both of whom had observed him extensivelyalso completed the questionnaire. One observed him teaching every day for six (6) weeks.Finally, in a videotaped interview, Escalante was asked about the top thirty-eight (38) statementsfrom the list rank-ordered by his students; e.g., did he agree with or disagree with eachstatement, and what additional methods or practices did he use.

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By either questionnaire or interview, the three sources of information-Jaime, his colleagues, andcalculus students-responded to the same thirty-eight (38) statements. Three sourcesresponding to the same prompts gives us the data source triangulation used to create theInstructional Guide which is now part of the Educational Resources Information Center (ERIC)System. The ERIC information system is sponsored by the Office of Educational Research andImprovement within the U.S. Department of Education. The ERIC number is ED 358 173.

Figure 2Data Source Triangulation

Jaime Escalante

D. ResultsA 100 percent level of agreement wasfound between the list of the top thirty-eight(38) statements rank-ordered by Escalante'scalculus students and affirmative comments

100% Agreement made by Escalante himself. In other words,

His His Escalante agreed that all thirty-eight

Colleagues 74% Agreement Calculus Students statements identified by his calculusstudents as more like him and his teachingwere correct; i.e., they did,in fact describe

either teaching or motivating practices he uses or a characteristic of him as a person that hebelieves is true.

In the interview, he added support from parents and school administrators as important tostudent success. (See pages 47 and 48 in the Guide.) A seventy-four percent (74%) level ofagreement was found between the ranking of the top thirty-eight (38) statements done by hiscalculus students when compared with the ranking done by his colleagues.

E. DiscussionEscalante's calculus students had observed him over a longer period of time than anyone else.Of the seventy-five (75) research-based statements they identified thirty-eight (38) as beingmore like him and his teaching and motivating. But a list of thirty-eight (38) statements is hardlyconcise. One of the principles of the scientific method is that of "parsimony," i.e., the use of"Occam's razor." This principal demands simplicity. But, inventing or a conceptual frame ofreference is risky business. There is always the possibility that it will say as much about theinventor than the phenomena being studied. The following conceptual taxonomy should beconsidered as only one working hypothesis; only one suggested taxonomy among several thatmight be offered. In this taxonomy there are three main categories: 1. Personal Characteristics, 2.Mathematical Skill Development, and 3. Cognitive Restructuring, including Teacher Expectations.The actual statements and their categories are as follows:

1. Personal Characteristics:Mr. Escalante: "is often funny or humorous," "is enthusiastic," "is energetic," "is an excellentmathematician," "is cheerful," "is friendly toward me," "captures and holds my attention," and"believes in me."

2. Mathematical Skill Development:Mr. Escalante: "calls attention to diagrams, graphs, photos, or illustrations that not only relate tothe lesson but also help me learn and remember," "has taught me rules and principles and theconditions under which they apply so I can solve math problems," "gives me a lot of mathproblems to do," "requires that faster learners put forth effort too; he won't let them just 'coast',""gives me the help I need when I get 'stuck'," "takes us through the steps needed to solve aproblem and explains the purpose of each step," "has helped me learn how to think through aword problem before I begin working on it; to analyze the challenges I face and explore

20

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alternative strategies before I start to work," and "has taught me to estimate answers to mathproblems so that I can reject unreasonable answers and know when an answer is 'in theballpark' ."

3. Cognitive Restructuring:Mr. Escalante: "believes my first priority is to learn," "puts academics first," "has helped meunderstand that employers will want me to have a solid preparation in math, reading, writing, andproblem solving," "has helped me see that education is important," "encourages me to try harderby reminding me that people beyond our school are paying attention to how well I do," "hashelped me understand that I learn more in rigorous, tough courses than in courses that areeasier," "has encouraged public recognition for students who succeed and promoted a sense ofschool pride," "helps me enjoy math," "has helped me set higher goals for myself in life," "helpsme see myself as a 'winner," "has helped me understand that I can become qualified for any job Iwant," "has helped me set higher goals for myself in math," "has helped me become moreinterested in math," "understands the world I will face after high school," "helps me plan andstrive for excellence." Teacher Expectation--Mr. Escalante: "expects me to work hard,""expects me to achieve me to attend class, come to class on time, and meet the assignmentdeadlines," "expects that I can and will learn a lot of math," "expects meta be honest, courteous,and to show respect for others," "expects me to spend a lot of time on math," and "expects andrewards my academic success."

F. Possible Replication of the ProgramIt would be nice if America had an army of at least a thousand Jaime Escalates who could go intobarrio high schools all over America, reverse the high dropout rate and lead those inner city highschool students to academic excellence. But, of course, the truth is, we don't have a thousandJaimes; and given the fact that he is over. 60 years old, and therefore already beyond normalretirement age, America may not have him as a full-time math teacher for very much longer.

Several questions arise. Can the original Escalante Math Project based at East Los AngelesCollege continue to be successful without him? Could the program be repeated elsewhere?Jaime has given his answer:

I have described the elements of my program. I believe that they can be duplicatedelsewhere with ease. The key for the teacher as well as for the student is hard work.Hard work makes the future. When hard work is combined with love, humor, and arecognition of the ganas-the desire to learn, the ability to sacrifice, the wish to getahead-that burns in our young people, the stereotypes and the barriers begin tocrumble . . . I always have to laugh when someone suggests that my program isdependent upon one teachers personality (my own) and could never serve as a modelfor use in other schools. It just shows how far away we have drifted from thefundamentals of teaching (Escalante and Dirmann, 1990, pp. 6,14).

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