Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part II Distributive Principles for Numbers of Arithmetic; Discovery and Use
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Title Card: Teaching High School Mathematics: First Course
Title Card: Basic Principles for Real Numbers Part II Distributive Principles for Numbers of Arithmetic
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 Numbers Part I
Title Card: 27 x 14 ÷ 73 x 13 = 100 x 13
Title Card: 27x + 73x = 100x
27 x 13 + 73 x 13 = 100 x 13
Title Card: 27 x 13 + 73 x 13 = (27 + 73) x 13
13 x 27 + 13 x 73 = 13 x (27 + 73)
Title Card: From 13th Lesson of a 166 Lesson Course [Max Beberman teaching math concepts to schoolchildren]
Title Card: Distributive Principles for Multiplication over Addition; Discovery and Use
Title Card: [Instructions for problems in workbook]
Title Card: From a Mathematics Institute Class [taught by Max Beberman]
Title Card: Constructing exercises which will help students become aware of the Distributive Principle for Multiplication over Addition.
Title Card: Lesson 13 [Max Beberman teaching math concepts to schoolchildren]
Title Card: Lesson 18. The next opportunity to use the distributive principle for multiplication over addition.
Title Card: [Image exploring student questions: Is addition distributive over multiplication?]
Title Card: They also considered whether subtraction and division were commutative or associative operations.
Title Card: 7 x (3+2) = 7 x 3 + 7 x _______
The teacher (Max Beberman) talks about the left distributive principle during a Mathematics Institute Class.
Title Card: Lesson 18 [Max Beberman teaching math concepts to schoolchildren]
Title Card: 7 x (3 + 2) = 7 x 3 + 7 x 2
Title Card: 3 x 7 + 2 x 7 = (3 + 2) x 7
(3 +2) x 7 = 3 x 7 + 2 x 7
Title Card: [Mathematics problem indicating the previous problem as fitting two distinct patterns]
Title Card: Basic Principles for Real Number Part IV
This Film is Background for:
Basic Principles for Real Numbers Part III and Part IV e_mb_0016, e_mb_001
Numerical Variables: Developing the Concept e_mb_0020
Bound Variables: Matching Language with Awareness e_mb_0021
Prelude to Deduction e_mb_0023
Substitution and the Linking Rule e_mb_0024
Proving Generalization e_mb_0026, e_mb_0027
Principles and Discovery in Algebraic Manipulation e_mb_0029, e_mb_0030
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
Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part II Distributive Principles for Numbers of Arithmetic; Discovery and Use
Identifier:
e_mb_0015
Description:
Max Beberman teaches mathematics instructors how to help students to recognize the distributive principle for multiplication over
addition. He discusses constructing exercises that allow children to determine whether subtraction and division are commutative or associative operations. 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)