The Nature of Mathematics, 12th Edition
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Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
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Education

1965 - B.A., Mathematics
  University of California at Los Angeles
1967 - M.A., Mathematics
  University of California at Los Angeles
1979 - Ph.D., Mathematics Education
  Southeastern University

Teaching Experience

I have taught at junior and senior high schools in the Los Angeles area and was a National Teaching Fellow at Whitworth College in Spokane, Washington. I have been at Santa Rosa Junior College since l968, where I served as department chairman for 5 years, and after 38 years of teaching, I am now retired from active teaching.

1965-1967

Culver City Junior High School

1967-1968

Whitworth College

1973-1978

Mathematics Department Chairman, Santa Rosa Junior College

l968-2003

Santa Rosa Junior College

Professional Activities

I am very active in local, state, and national professional groups and am Past-President of the American Mathematical Association of Two-Year Colleges. My main professional concern is to improve the mathematics education for students in the U.S. by being an outspoken advocate for better teaching at all levels. I believe the key to educational success depends upon dedicated, well-paid teachers who really care about their students, while at the same time demanding excellence from their students. I believe that one individual can make a difference.

Member of the following professional organizations:
American Mathematical Association of Two-Year Colleges
National Council of Teachers of Mathematics
Mathematical Association of America
California Mathematics Council
California Mathematics Council of Community Colleges

1978-1980

Member-at-Large, California Mathematics

1979-1983

Founding Editor, Western AMATYC News

1980-1983

Western Vice President of the American Mathematical Association of Two-Year Colleges

1983-1985

Secretary of the American Mathematical Association of Two-Year Colleges

1985-1987

President-elect of the American Mathematical Association of Two-Year Colleges

1987-1989

President of the American Mathematical Association of Two-Year Colleges

1989-1991

Past-President of the American Mathematical Association of Two-Year Colleges

1980-1989

Executive Board of the American Mathematical Association of Two-Year Colleges

1983-1985

MAA visiting lecturer and consultant

1984

Participant in the Sloan Conference on Future Directions of Two-Year College Mathematics

1983-1989

Member of the joint MAA-AMATYC Panel for Curriculum in the Two-Year Colleges

1985

Participant in the National Study of Resources for Collegiate Mathematics

1987-1990

Member of the Accreditation Committee of the Mathematical Association of America

1987

Member of the Remediation Committee of the Mathematical Association of America

1987-1992

Member of the Two-Year College Committee of the Mathematical Association of America

1987-1989

Member of the College Board of Mathematical Sciences

1987-1989

MAA visiting lecturer and consultant

1989-1991

Executive Committee of the College Board of Mathematical Sciences

1988-1991

Member of the Council of Scientific Society Presidents

1989-1991

Member of the Mathematics and Science Education Committee of the Council of Scientific Society Presidents

1989

Chairperson of the Committee on Mathematics Excellence

1990

Chairperson of the Nominations and Election Committee of the American Mathematical Association of Two-Year Colleges

1990-1996

Editorial Committee of UME Trends: News and Reports on Undergraduate Mathematics Education

1990

Invited participant to the Conference Board of the Mathematical Sciences Workshop on Graduate Education, Washington, D.C.

1990

Invited participant to the National Summit on Mathematics Assessment, Washington, D.C.

1991

Invited participant to the Conference Board of Mathematical Sciences conference on Graduate Education in Transition, Washington, D.C.

1992-2000

MAA visiting lecturer and consultant

Grants and Fundraising

1986

Involved in obtaining a Sloan grant for AMATYC summer institutes.

1985-1987

Was the principal fund-raiser for a million dollar Bethlehem Lutheran Church Children's Center

1989

Involved in a pending NSF AMATYC-CCAJC grant proposal for networking mathematics and industry

1989

Established a Grant Committee to seek grants and funding sources for two-year colleges

1990-1992

NSF grant reviewer

1990-1992

Organized and launched the non-profit AMATYC Future Fund

Other Awards

1965

Graduated cum laude from the University of California at Los Angeles

1967

National Teaching Fellow in Mathematics

1979

Outstanding Young Men of America Award

1980

Outstanding Educator Award

1979

Listed in Leaders in American Education

1983

Listed in Who's Who Among Scholars

1985

Listed in Who's Who in American Education

1986

Listed in International Who's Who in Education

1989

Outstanding Teacher Award

1990

Listed in Who's Who in the West, 23rd Edition

1990

Invited to lead a People-to-People Delegation to the Soviet Union

1991

Nominated for the biannual national Mathematics Excellence Award

1992

Listed in Who's Who in California

1992

Listed in 2,000 Notable American Men

1993

Listed in Who's Who in America, 47th Edition

1993

Listed in Who's Who in the West, 24th Edition

1994

Listed in Dictionary of International Biography

1994

Listed in Men of Achievement, Sixteenth Edition

1995

Listed in Who's Who in Science and Engineering, 3rd Edition

1995

Listed in Who's Who in the West, 25th Edition

1997

Listed in Who's Who in the West, 26th Edition

1998

Listed in Who's Who Among America's Teachers, 5th Edition

1999

First of six inducted into the Council of Fellows for innovation of presentation of materials in publishing.

Publications

I have written 53 mathematics textbooks using the premise that students can learn mathematics if it is presented to them through the use of concrete examples designed to develop original thinking, abstraction, and problem solving skills. Over two million students have learned mathematics from my textbooks.

Books

Algebra and Trigonometry, Brooks/Cole, Pacific Grove, 1987
Analytic Geometry, One Unit Series, Brooks/Cole, Pacific Grove, 1991
Analytic Geometry: A Refresher, Brooks/Cole, Pacific Grove, 1974
Arithmetic for College Students, Brooks/Cole, Pacific Grove, 1981
Basic Mathematics, Brooks/Cole, Pacific Grove, 1981
Business Mathematics, 2nd Ed., Wm C. Brown, Dubuque, 1988
Calculus with Applications, 2nd Ed., Brooks/Cole, Pacific Grove, 1992
College Algebra, 2nd Ed., Brooks/Cole, Pacific Grove, 1996
College Mathematics and Calculus, 2nd Ed., Brooks/Cole, Pacific Grove, 1992
Essentials of Trigonometry, 4rd Ed., Brooks/Cole, Pacific Grove, 2006
Finite Mathematics, 3rd Ed., Brooks/Cole, Pacific Grove, 1992
Finite Mathematics: A Discrete Approach, Scott, Foresman, 1975
Geometry, One Unit Series, Brooks/Cole, Pacific Grove, 1991
Handbook for Calculus, Third Edition Prentice Hall, Englewood Cliffs, 2002
Introduction to Symbolic Logic, Brooks/Cole, Pacific Grove, 1974
Mathematics: Its Power and Utility, 8th Ed., Brooks/Cole, Pacific Grove, 2006
Mathematics for Business, Wm. C. Brown, Dubuque, 1990
The Nature of Mathematics, 11th Ed., Brooks/Cole, Pacific Grove, 2007
Precalculus, 5th Ed., Brooks/Cole, Pacific Grove, 1993
Problem Solving, One Unit Series, Brooks/Cole, Pacific Grove, 1991
Student's Solution Manual for Calculus, Third Edition Prentice Hall, Englewood Cliffs, 2002
Symbolic Logic, One Unit Series, Brooks/Cole, Pacific Grove, 1991
Trigonometry for College Students, 7th Ed., Brooks/Cole, Pacific Grove, 1998

Coauthored Books

Algebra and Trigonometry, Brooks/Cole, Pacific Grove, 1979
Beginning Algebra for College Students, 4th Ed., Brooks/Cole, Pacific Grove, 1990
Calculus, 3rd Ed., Prentice Hall, Englewood Cliffs, 2002
College Algebra, 4th Ed., Brooks/Cole, Pacific Grove, 1989
Intermediate Algebra for College Students, 4th Ed., Brooks/Cole, Pacific Grove, 1989
Multivariable Calculus, Third Editon Prentice Hall, Englewood Cliffs, 2002
Primer for College Algebra, Brooks/Cole, Pacific Grove, 1990
Single Variable Calculus, Third Edition Prentice Hall, Englewood Cliffs, 2002
Study Guide for Elementary Algebra, 2nd Ed., Brooks/Cole, Pacific Grove, 1980
Study Guide for Intermediate Algebra, 2nd Ed., Brooks/Cole, Pacific Grove, 1985
Study Guide for Algebra, Brooks/Cole, Pacific Grove, 1990

Articles

"A Curriculum in Flux, Mathematics at Two-Year Colleges," Ed. Ron M. Davis, Report of the Joint Subcommittee on Curriculum at Two-Year Colleges, MAA-AMATYC, 1989

"A Short Trip from Publisher to Professor to Bookstore to Students," Offshoots, December 1, 1987

"Challenge for the 1990s," Two-Year College Mathematics for the 1990s, Special edition of The AMATYC Review, Vol. 11, Number 1 (Part 2), Fall 1989

"CBMS Profile of AMATYC," FOCUS, January-February, 1988

"Complimentary Textbooks: Selling Ourselves Short," The Chronicle of Higher Education, October 14, 1987

"Congressional Report," AMATYC NEWS, Vol. 4, No. 2, Spring, 1989

"Inventing a Numeration System," Arithmetic Teacher, Vol. 20, No. 7, Nov. 1976

"It's Not Funny! Cartoons in Textbooks," CMC Newsletter, Vol. V, No. 2, July 1978

"Keno Expectation," Two-Year College Mathematics Journal, Vol. 3, No. 2, Fall 1972

"Liberal Arts Mathematics," Resources in Education, Nov. 1984

"Liberal Arts Mathematics--Cornerstone or Dinosaur," New Directions in Two-Year College Mathematics, Springer-Verlag, 1985

"Pascal's Triangle," Feature Article, Two-Year College Mathematics Journal, Vol. 4, No. 1, Fall 1972

"Presidential Message," AMATYC NEWS, Vol. 3, No. 1, Winter 1988

"Presidential Message," AMATYC NEWS, Vol. 3, No. 2, Fall 1988

"Presidential Message," AMATYC NEWS, Vol. 3, No. 3, Spring 1989

"Presidential Message," AMATYC NEWS, Vol. 4, No. 1, Fall 1989

"Presidential Message," AMATYC NEWS, Vol. 4, No. 2, Spring 1990

"Publishing's Gray Market," The Magazine of Higher Learning, Sept./Oct., 1987

"Plunging Into Geometry," California Mathematics Journal, Vol. 1, No. 2, 1976

Invited Addresses

I am an active and interesting speaker who has given numerous speeches and in-service training programs at local, state, national, and international conventions. Also, I am an active problem- solver with published solutions in the Two-Year College Mathematics Journal, Journal of Recreational Mathematics, and The MATYC Journal. I love to talk and write about mathematics, but most of all I love teaching mathematics.

National Addresses

"Crisis in Mathematics Education: A Teacher's Perspective," Invited speaker to the 75th Anniversary Meeting of the Mathematical Association of America, Columbus, Ohio, August 11, 1990

"Computer Science Accreditation and Its Impact Upon Two-Year Colleges," Panel member, National Meeting of the Association for Computing Machinery, Atlanta, GA, Feb. 24, 1988

"Curriculum at Two-Year Colleges: A Report," Panel member, national convention of The American Mathematical Association of Two-Year Colleges, Kansas City, KS, Oct. 31, 1987

"Mathematical Reflections," Keynote address, Sixth Conference of the Association of Christians in the Mathematical Sciences, Grand Rapids, MI, May 27, 1987

"Mathematical Reflections, Standing on the Shoulders of Giants," Invited speaker at the 67th Annual Meeting of the National Council of Teachers of Mathematics, Orlando, FL, April 13, 1989

"Mathematics Is Not a Spectator Sport," Invited address, Name-of-Site Meeting of the National Council of Teachers of Mathematics, El Paso, TX, Feb. 26, 1976; Invited address at the national convention of The American Mathematical       Association of Two-Year Colleges, Atlanta, GA, Oct. 14, 1977; Invited address (a repeat performance was requested), national convention of The American Mathematical Association of Two-Year Colleges, Houston, TX, Oct. 12, 1978

"Mathematics Term Projects," Invited speaker, national convention of The Association of Two-Year Colleges, Washington, DC, Oct. 12, 1980

"Motivation in Mathematics," Invited speaker at the 62nd Annual Meeting of the National Council of Teachers of Mathematics, San Francisco, CA, April 25, 1984

"Percepts of the College Textbook Industry," Panel member, National Association of College Stores, Anaheim, CA, April 13, 1987

"Presidential Report for the 90s," Opening session, American Mathematical Association of Two-Year Colleges, Baltimore, MD, October 26, 1989

"Publishing a Mathematics Textbook, An Author's Perspective," Invited speaker, Publishers' College, Pacific Grove, CA, July 13, 1987

"Standing on the Shoulders of Giants," Invited speaker at the 67th Annual Meetingof the National Council of Teachers of Mathematics, Orlando, FL, April 13, 1989

"Techniques for Graphing Trigonometric Functions," Invited address, California Mathematics Council State Conference, Sacramento, CA, March 25, 1976; Invited address, national conference of the Mathematical Association of Two-Year Colleges, Houston, TX, Oct. 11, 1978

"Uncovering Mathematics: Motivational Ideas for Today's Students," Invited speaker, National Conference of the National Council of Teachers of Mathematics, Chicago, IL., April 8, 1988

Foreign Professional Presentations and Invited Addresses

"Mathematical Reasoning," In-service training, Universadia Interamericana De Pr Decanato De Estudios Programa De Education General Departamento De Mathematica Y Cinecias Fisicas Recinto De San German, August 10-11, 1987

"Motivation in Beginning Algebra," In-service training, University of Puerto Rico, Rio Piedras Campus, March 14, 1984

"Motivating Mathematics for Unmotivated Students," Invited speaker to the International Congress on Mathematical Education, Budapest, Hungary, July 27-Aug. 3, 1988

"Presidential Report," Opening Session, American Mathematical Association of Two-Year Colleges, Calgary, Canada, October 18, 1988

"Problem Solving and the Graphing Calculator," In-service training, Universadad Interamericana de Puerto Rico, Metropolitan campus, August 10-11, 1992, San German campus, August 12-13, 1992

"Teaching Liberal Arts Mathematics," In-service training, Universadia Interamericana De Pr Decanato De Estudios Programa De Education General Departamento De Mathematica Y Cinecias Fisicas Recinto De San German, August 10-11, 1987

State Addresses

"Affiliation with AMATYC," Invited speaker, New York State Mathematical Association of Two-Year Colleges, April 25, 1987

"Challenge for the 90s," Keynote speaker for the California Mathematics Council of Community Colleges - South, Costa Mesa, CA, March 10, 1989

"Calculus," ArizMATYC meeting, February 26, 1999

"Fifty Mathematics Projects for College Students," Invited speaker, California Mathematics Council of Community Colleges, Monterey, CA, Dec. 3, 1981

"From Heartbeats to Bees," Invited speaker, Illinois Mathematical Association, Allerton, IL, April, 22, 1983; Invited speaker, California Mathematics Council, Southern Section, Nov. 23, 1985

"Historical Quest Don't Throw Out the Baby with the Bathwater," Invited speaker, Michigan Mathematical Association of Two-Year Colleges, October 18, 1997

"Increasing Mathematical Insight," Invited address, Alabama College Association, Birmingham, Alabama, November 22, 1988

"The Joy of Mathematics," Invited address, Alabama Junior, Community, and Technical Colleges Professional Development Conference, Mobile, AL, April 3, 1986

"Ma, I'd Rather Do It Myself," Invited address, California Mathematics Council, Asilomar, CA, Dec. 7, 1974

"Mathematical Adventures," Banquet speaker, Virginia Mathematical Association of Two-Year Colleges, Virginia Beach, VA, April 21, 1989

"Mathematical Gems," Banquet speaker, Michigan Mathematical Association of Two-Year Colleges, Kalamazoo, MI, October 17, 1997

"Mathematical Insights," Luncheon speaker, Minnesota Mathematical Association of Two-Year Colleges, Brainerd, MN, May 5, 1990

"Mathematical Motivation," Conference luncheon speaker, organizational meeting of The Oregon State Mathematical Association for Two-Year Colleges, May 9, 1987

"Perspectives: Implementation of the TASP Program," Panel member,      Texas Junior College Teachers Association and Texas Junior College Association, February 17, 1989

"A Pocketful of Problems," Invited Speaker, 36th Annual Convention of the Texas Junior College Association, Feb. 25, 1983

"Problem Solving," Invited speaker, California Mathematics Council, Southern Section, Nov. 22, 1985

"Writing a Mathematics Textbook," Dinner speaker, The 36th Annual Meeting of The Pennsylvania Council of Teachers of Mathematics, March 20, 1987

Regional Addresses

"Five Good Problems," In-service training, Hillsborough Community College, Tampa, FL, March 14, 1984

"Graphing Trigonometric Functions and Other Tricks of the Trade,"      In-service training, Casper College, WY, April 23, 1981

"Math Anxiety," In-service training, Mirimac Community College, St. Louis, MO, Feb. 24, 1987

"Mathematics and the Layman," Presentation, Association of Retired Persons, Santa Rosa, CA, May 10, 1983

"Mathematics: Its Power and Utility," In-service training for Math A, San Mateo Union High School, June 17, 1988.

"Motivation in College Algebra," In-service training, Hillsborough Community College, Tampa, FL, Feb. 20, 1987

"Some Good Problems," In-service training, Broward Community College, Davie, FL, Feb. 20, 1987; In-service training, Miami Dade-North Campus, Miami, FL, Feb. 21, 1987; also at the Spring Conference of the California Mathematics Council, San Mateo, CA, March 7, 1987