Teaching High School Mathematics; First Course; Logical Basis for Equation Transformation Principles Part III; Teaching High School Mathematics; First Course; Logical Basis for Equation Transformation Principles Part III

Transcript

Title Card: Teaching High School Mathematics: First Course
Title Card: Logical Basis for Equation Transformation Principles Part III
Title Card: Films for Background Bound Variables: Matching Language with Awareness e_mb_0021 Prelude to Deduction e_mb_0023 Proving Generalizations e_mb_0026, e_mb_0027 Logical Basis for Equation Transformation Principles Part I and Part II e_mb_0035, e_mb_0036
Title Card: (2x - 5)(x + 4) = 0 2x - 5 = 0 or x + 4 = 0
Title Card: VxVyVz x + z = y + z if and only if x = y
Title Card: VxVyVz ≠ 0 xz = yz if and only if x = y
Title Card: VxVy xy = 0 if and only if x = 0 or y = 0
Title Card: 80th Lesson of a 166 Lesson Course (taught by Max Beberman) The Zero-Product Theorem the Concept of Contrapositive Negation of a Conjunction Double Negation
Title Card: The class objects to this.
Title Card: Others are not so sure.
Title Card: 1. If 3 > 1 then 3 + 4 > 1 + 4 2. If not (3 + 4 > 1 + 4) then not (3 > 1) 3. If not [not (3 > 1)] then not [not (3 + 4 > 1 + 4)]
Title Card: [] if and only if not (not [])
Title Card: [Substitution and the Double Denial Rule]
Title Card:[Next Films in this Series] Subset of a Set: Developing the Concept e_mb_0038 Equivalent Equations: Developing the Concept e_mb_0039
Title Card: This Film is Background for: Subset of a Set: Developing the Concept e_mb_0038 Equivalent Equation: Developing the Concept e_mb_0039 Equivalent Equations and Transformation Principle e_mb_0040 Equation Transformation Principles in Practice e_mb_0041 Transformation Principles for Inequations e_mb_0043, e_mb_0044 Operation with Sets
Credits [Title cards] Instructor: Max Beberman
Narrator: Mark Anderson
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 Director: Jesse Orvedahl; 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; Logical Basis for Equation Transformation Principles Part III
Identifier: e_mb_0037
Description: Mathematician Max Beberman leads students to the discover and proof of the The Zero-Product Theorem the Concept of Contrapositive Negation of a Conjunction Double Negation. Students indicated what information is needed about y and v with the constriction y times v is not equal to 0 in order to guarantee that the product of y and v is not 0. Black and white picture with sound. Eastman Kodak edge code reads " square circle " which correlates to 1965.
Creator: University of Illinois Committee on School Mathematics (producer)
Contributor: Beberman, Max (instructor)
McCoy, Eleanor (instructor)
Anderson, Mark (narrator)
National Science Foundation (funding)
U.S. Office of Education (funding)
Hendrix, Gertrude (content director)
Orvedahl, Jesse (asst. content director)
Sims, Byrl (film director)
Date: circa 1965-1966
Resource: Max Beberman film collection
Subject Geographic: United States - Illinois - Champaign - Champaign
Box: FILM2/F59
Related Items: e_mb_0021|e_mb_0023|e_mb_0026|e_mb_0027|e_mb_0035|e_mb_0036|e_mb_0038|e_mb_0039|e_mb_0040|e_mb_0041|e_mb_0043|e_mb_0044
Collection Strength: Archives of American Mathematics