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Tuesday, July 21, 2009

THE NEW MATH: SETS, THE LANGUAGE OF MATHEMATICS


by Dr. Lyle E. Mehlenbacher & Professor James F. Lanahan
Narrated by James Lanahan


NEW MATH RECORDS
TNM 101
1966


About the Authors...

Dr. Lyle E. Mehlenbacher is a "teacher of teachers," both literally and figuratively. As a University of Detroit teacher in the Department of Mathemetics he has been, successively, an Associate Professor from 1945 to 1948; Full Professor from 1948 to present time; Chairman of the Department of Mathematics from 1947 to 1963; Co-ordinator of Sponsored Educational Programs since 1963; Director of Institutes in Mathematics since 1958; and Associate Deab of the Graduate School since September 1, 1966.

Dr. Mehlenbacher has been recognized nationally for his professional attainments in the teaching of Mathematics. As a matter of record, the National Science Foundation has invested approximately one and a half million dollars in the past eight years to underwrite institutes and programs conducted by Dr. Mehlenbacher. These institues and programs have been designed to bring Michigan elementary and high school teachers abreast of the latest developments in the teaching of the so-called New Math.

Now, Associate Dean of the University of Detroit Graduate School, Dr. Mehlenbacher received his Bachelor of Arts from New York State College for Teachers, at Albany, New York, in 1931. His Master of Arts was achieved at the University of Michigan in 1934; and his Doctor of Philosophy was granted by the University of Michigan in 1936.

Dr. Mehlenbacher is a member of the following professional associations and fraternities:

-Sigma Xi Fraternity
-Phi Kappa Phi Fraternity
-Kappa Phi Kappa Fraternity
-Pi Mu Epsilon Fraternity
-American Mathematical Society
-National Council of Teachers of Mathematics
-Mathematical Association of America

His publications include:

  • Several articles printed in the American Journal of Mathematics (published by Johns Hopkins University), and in the American Mathematical Monthly.
  • A text book, Foundation of Modern Mathematics, published by Prindle, Weber and Schmidt (Boston) for 1967 distribution.


  • Biographical reference on Dr. Mehlenbacher may be found in Who's Who in America; and in American Men of Science.


    Professor James F. Lanahan


    Co-author and narrator James F. Lanahan is an Associate Professor in the Department of Mathematics at the University of Detroit. The father of five young sons, Professor Lanahan has more than a professional academic interest in the preparation of material designed to help puzzled parents understand the New Math. Being a parent of elementary school children himself, Professor Lanahan has a keen sense of responsibility to fellow parents.

    Professor Lanahan received his Bachelor of Science degree in 1948 from the University of Detroit and subsequently a Master of Science degree from the University of Michigan. Special graduate studies followed at the University of Michigan.

    Starting as an Instructor in Mathematics at the University of Detroit in 1951, he was promoted in 1958 to an Assistant Professorship; and in August of 1966 he was named to his present position as an Associate Proffesor.

    Since 1961 he has specialized as a television lecturer in Mathematics and his video-taped courses are among the most popular on campus.

    Much has been heard from Professor Lanahan but more can be heard by playing the enclosed record as this masterful teacher inducts parents into some of the wonderful vistas of the world of New Math. He is the University Math Teacher that can be brought into every home in America.


    For further reading we refer you to Chapters I and III of the following book: Lyle E. Mehlenbacher, "Foundations of Modern Mathematics" published by Prindle, Weber and SChmidt, Inc., 53 State Street, Boston, Massachusetts 02109. Paperback edition available for $3.50.





    SIDE A:



    Introduction and Notations for Sets.
    The Null Set, Subsets.
    Counting Numbers, Examples.

    download



    SIDE B:



    Variable, Complement, Intersection of Sets.
    Union of Sets, Ordered Pair, Cartesian Product.

    download



    Editor's note: I'm not sure if this record was a sign of the times or a cosign of the times (waka waka waka) for the middle 1960s but it sure seems like the previous generations were a whole lot smarter than we are. They were teaching this stuff to elementary kids! Now kids are lucky to know how to read let alone figure out complex mathematical problems and equations. Not that I could either but I'm a dumb Polack so I'm excused.

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