Teaching High School Mathematics; First Course; Isomorphism: Developing the Concept Part 2; Teaching High School Mathematics; First Course; Isomorphism: Developing the Concept Part 2

Transcript

Title Card: Beginning of Reel Two Isomorphism: Developing the Concept
Title Card: [Part E in workbook Mathematics Institute Class taught by Max Beberman]
Title Card: How can a teacher emphasize that the operation used with the first set may be different from the one used with the second set? [Mathematics Institute Class taught by Max Beberman]
Title Card: [Chart of two sets of numbers: numbers of arithmetic and positive real numbers]
Title Card: [Chart of two sets of numbers: numbers of arithmetic and negative real numbers]
Title Card: [Chart of two sets of numbers indicating logarithms]
Title Card: In what respect do the nonnegative reals act more like the numbers of arithmetic than do the nonpositive reals? [Mathematics Institute Class taught by Max Beberman]
Title Card: [Chart of two sets of numbers: nonpositive real numbers, numbers of arithmetic]
Title Card: [Chart of two sets of numbers: nonnegative real numbers of arithmetic, numbers of arithmetic]
Return to lesson from part 1 in Mathematics Institute Class taught by Max Beberman
Title Card: Throughout the course, students find occasion to draw upon the isomorphism concept, even though the formal name is not used.
Title Card: Lesson 109 [Max Beberman teaching math concepts to schoolchildren]
Title Card: Lesson 59 [Max Beberman teaching math concepts to schoolchildren]
This film is background for: Basic Principles for Real Numbers e_mb_0016, e_mb_0017 Operations: Binary, Singulary e_mb_0009 Solving Worded Problems e_mb_0045
Credits [Title cards] Instructor: Max Beberman
Produced by the University of Illinois Committee on School Mathematics
with grants from the National Science Foundation and the US Office of Education
Project Director: Max Beberman; Content Director: Gertrude Hendrix; Asst. Content Directors: Jesse Orvedahl, Herbert Wills, Russell E. Zwoyer; Film Director: Byrl Sims
New Series Staff: Mark Anderson, Martin Fass, Wesley Faulkner, James W. Hall, Robert LA Gow; First Series Staff: Stanley Follis, John Werner; Classroom furniture courtesy of Brunswick

In collections

Beberman, Max, film collection

Details

Title: Teaching High School Mathematics; First Course; Isomorphism: Developing the Concept Part 2
Identifier: e_mb_0006
Description: In this film, mathematician Max Beberman continues to teach students from the Mathematics Institute how to teach the concept of isomorphism to their pupils. He shows that when students are first introduced to real numbers they discover that the numbers of arithmetic may be inadequate for situations that require knowing both magnitude and direction. Beberman addresses these questions: How can a teacher emphasize that the operation used with the first set may be different from the one used with the second set? In what respect do the nonnegative reals act more like the numbers of arithmetic than do the nonpositive reals? This is part two of a two-part lesson. Black and white picture with sound. Eastman Kodak edge code reads "triangle square," which correlates to 1964.
Creator: University of Illinois Committee on School Mathematics (producer)
Contributor: Beberman, Max (instructor)
Anderson, Mark (narrator)
Hendrix, Gertrude (content director)
Orvedahl, Jesse (asst. content director)
Sims, Byrl (film director)
Date: circa 1964-1965
Resource: Max Beberman film collection
Subject Geographic: United States - Illinois - Champaign - Champaign
Box: FILM2/26
Related Items: e_mb_0005|e_mb_0016|e_mb_0017|e_mb_0009|e_mb_0045
Collection Strength: Archives of American Mathematics