Categories:Video|Archives of American Mathematics|Max Beberman Film Collection

Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part IV Discovery and Patterns

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Table of contents

Title Card: Teaching High School Mathematics: First Course
Title Card: Basic Principles for Real Numbers Part IV Discovery and Patterns
Title Card: Films for Background
- Numbers and Numerals e_mb_0046, e_mb_0001
- Punctuation and Conventions in Mathematics e_mb_0007, e_mb_0008
- Basic Principles for Real Number Part I, Part II and Part III e_mb_0015; e_mb_0016
Title Card: Discovery and Patterns. The teacher [Max Beberman] talks with a Mathematics Institute Class
- Title Card: 2 x 13 + 18 x 13
- Title Cards: [Math expression for simplification. Workbook problems #1-22]
Title Card: What classroom activities are appropriate for practicing the use of a newly discovered principle?
Title Card: Are these sentences instances of the same principle?
(5 + 8) + 4 = 5 + (8 + 4)
5 + (8 + 4) = (5 + 8) + 4
- Title Card: [Math Problems]
- Title Card: 7 x 3 + 7 x 2 = 7 x (3 + 2)
- Title Card: Vx VyVz (x + y) z = xz + yz
  VxVyVz z(x + y) = zx + zy
Title Card: The teacher [Max Beberman] continues his talk with the Mathematics Institute Class
Title Card: This Film is Background for:
- Numerical Variables: Developing the Concept
- Bound Variables: Developing the Concept
- Prelude to Deduction
- Substitution and the Linking Rule
- Prelude to Proof-Making
- Proving Generalizations
- Principles and Discovery in Algebraic Manipulation
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 Director: Jesse Orvedahl; Film Director: Byrl Sims
- New Series Staff: Martin Fass, Wesley Faulkner, James W. Hall, Robert LA Gow; First Series Staff: Stanley Follis, John Werner; Classroom furniture courtesy of Brunswick

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Metadata

Title:	Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part IV Discovery and Patterns
Identifier:	e_mb_0017
Description:	Max Beberman teaches mathematics instructors how to lead students to discover various principles/generalizations of real numbers. He then shows them how to challenge students' assumptions of real numbers and discusses the classroom activities that are appropriate for practicing these newly-learned principles. Black and white picture with sound. Eastman Kodak edge code reads "square triangle," which correlates to 1965.
Country:	United States
State:	Illinois
City:	Champaign
Date:	circa 1965-1966
Creator	University of Illinois Committee on School Mathematics (producer)
Location:	FILM2/F37
Source:	Beberman (Max) Film Collection
Contributor:	Beberman, Max (instructor)
	Mark Anderson (narrator)
	National Science Foundation (funding)
	U.S. Office of Education (funding)
	Hendrix, Gertrude (content director)
	Orvedahl, Jesse (asst. content director)
	Sims, Byrl (film director)
Language:	en
Publisher	Dolph Briscoe Center for American History
Original Format:	black-and-white film; sound tracks, 16mm

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Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part IV Discovery and Patterns

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