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Modern Learning Aids; A Brief Course in Mathematics for Elementary School Teachers; Lesson XXX: The Real Numbers

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Title Card: A Brief Course in Mathematics for Elementary School Teachers
Title Card: XXX The Real Numbers
Title Card: Stewart Moredock
Title Card: The Properties of Rational Numbers
- Title Card: Closure: If r and s are rational numbers, then r + s and r x s are rational numbers.
- Title Card: Commutative: r + s = s + r
  r x s = s x r
- Title Card Associative: (r + s) + t = r + (s + t)
  (r x s) x t = t x (s x t)
- Title Card: Distributive: r x (s + t) = (r x s) + (r x t)
- Title Card: Zero, One: r + 0 = r
  r x 1 = r
- Title Card: Reciprocals: For each rational number r, except 0, there is a reciprocal. recip(r), such that r x recip(r) = 1
- Title Card: Opposites: For each rational number r, there is an opposite, opp(r), such that r + opp(r) = 0
- Title Card: Order: r<s if and only if there is a positive rational number p, such that r + p = s. In other words, s - r is a positive rational number.
Using Number Line to Arrive at Rational Numbers in Stages
Property of Denseness
Irrational Numbers
- Pi
Summary of Lesson
Title Cards: Credits
- XXX The Real Numbers
- A Brief Course in Mathematics for Elementary School Teachers
- Produced by School Mathematics Study Group
- With financial support from The National Science Foundation
- Lecturer: Stewart Moredock, Sacramento State College
- Assistant: Jack Abad, San Francisco Unified School District
- Live Camera Recording: W.A. Palmer Films, Inc San Francisco

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Title:	Modern Learning Aids; A Brief Course in Mathematics for Elementary School Teachers; Lesson XXX: The Real Numbers
Identifier:	e_math_02010
Description:	Instructor Stewart Moredock (Sacramento State College) gives a lesson on teaching elementary school mathematics. Topics include: a review of the Properties of Real Numbers, the Property of Denseness, and a discussion of Rational and Irrational Numbers. Color picture, sound. Eastman Kodak edge code reads "plus plus," which correlates to 1968. Production title: Real Numbers. Print No: NA. Number on can: 1145. Film is suffering from vinegar syndrome causing the film images to turn pink.
Country:	United States
State:	California
City:	San Francisco
Date:	1968
Creator	School Mathematics Study Group (producer)
Source:	School Mathematics Study Group
Contributor:	Moredock, Stewart (lecturer)
	Abad, Jack (assistant)
	W.A. Palmer Films, Inc. (live camera recording)
	The National Science Foundation (financial support)
Language:	en
Publisher	Dolph Briscoe Center for American History
Original Format:	color film, sound tracks, 16mm

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Modern Learning Aids; A Brief Course in Mathematics for Elementary School Teachers; Lesson XXX: The Real Numbers

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