- 1969 (x)
- Archives of American Mathematics (x)
- Hendrix, Gertrude (content director) (x)
- Search results
-
-
Title
-
Teaching High School Mathematics; First Course; Adding Real Numbers, Teaching High School Mathematics; First Course; Adding Real Numbers
-
Identifier
-
e_mb_0003
-
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)
-
Dates
-
circa 1964-1965
-
Box
-
FILM2/F23
-
Resource
-
Max Beberman film collection
-
Description
-
Max Beberman teaches schoolchildren the 4th lesson of a 166-lesson course. He covers the addition of real numbers and the rules associated with the interactions between positive and negative numbers and zero. Beberman also discusses with the students from the Mathematics Institute the proper methods to teach their pupils to solve problems using mathematical operations. Black and white picture with sound. Eastman Kodak edge code reads "triangle square," which correlates to 1964. From the original reel, optical audio track loses synchronization with picture from 19:18 to 24:35.
-
-
Title
-
Teaching High School Mathematics; First Course; Advent of Awareness, Teaching High School Mathematics; First Course; Advent of Awareness
-
Identifier
-
e_mb_0004
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (instructor), Hendrix, Gertrude (content director), Orvedahl, Jesse (asst. content director), Sims, Byrl (film director), Guide Dogs for the Blind, Inc. (cooperation), Mark Anderson (narrator)
-
Dates
-
circa 1964-1965
-
Box
-
FILM2/F24
-
Resource
-
Max Beberman film collection
-
Description
-
This film addresses the perception many instructors hold that if students cannot express the answer they do not know the answer. The narrator introduces Beberman's idea of the Advent of Awareness. He uses examples from previous films, as well as the training methods of seeing-eye guide dogs. Black and white picture with sound. Eastman Kodak edge code reads "triangle square," which correlates to 1964.
-
-
Title
-
Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part II Distributive Principles for Numbers of Arithmetic; Discovery and Use, 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
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F35
-
Resource
-
Max Beberman film collection
-
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.
-
-
Title
-
Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part III: Principles of Arithmetic for Real Numbers, Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part III: Principles of Arithmetic for Real Numbers
-
Identifier
-
e_mb_0016
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F36
-
Resource
-
Max Beberman film collection
-
Description
-
Max Beberman leads students on an investigation to find and prove various mathematical principles, including the Communitive Principle for Multiplication of Real Numbers, the Associative Property for Addition of Real Numbers, the Communitive Principles for Addition of Real Numbers, and the Principle for Adding the Real Number Zero. The students learn to check their findings and develop a working acquaintance with all of the principles. They also begin to use letters as variables to indicate patterns and to generate terms and sentences. In addition, Beberman introduces the pupils to using letters as indices to modify a sentence to indicate generalizations, which is discussed in future films. Black and white picture with sound. Eastman Kodak edge code reads "square triangle," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part IV Discovery and Patterns, Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part IV Discovery and Patterns
-
Identifier
-
e_mb_0017
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F37
-
Resource
-
Max Beberman film collection
-
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.
-
-
Title
-
Teaching High School Mathematics; First Course; Bound Variables: Matching Language with Awareness, Teaching High School Mathematics; First Course; Bound Variables: Matching Language with Awareness
-
Identifier
-
e_mb_0021
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (instructor), National Science Foundation (funding), U.S. Office of Education (funding), Hendrix, Gertrude (content director), Orvedahl, Jesse (asst. content director), Sims, Byrl (film director)
-
Dates
-
circa 1964-1965
-
Box
-
FILM2/F42
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman teaches a class of instructors at the Mathematics Institute how to use language creatively to formulate generalizations. He discusses the use of open sentences to instruct both older and younger students. Black and white picture with sound. Eastman Kodak edge code reads "triangle square," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Comparing Real Numbers: The Number Line, Teaching High School Mathematics; First Course; Comparing Real Numbers: The Number Line
-
Identifier
-
e_mb_0018
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F38
-
Resource
-
Max Beberman film collection
-
Description
-
Max Beberman teaches students how to compare real numbers. He explores whether the concept of "less than" comes from the number line or must the student have the set or real numbers ordered before lining up makes sense. He and the class then establish a test for comparing real numbers. Black and white picture with sound. Eastman Kodak edge code reads "square triangle," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Dividing Real Numbers, Teaching High School Mathematics; First Course; Dividing Real Numbers
-
Identifier
-
e_mb_0014
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F34
-
Resource
-
Max Beberman film collection
-
Description
-
Max Beberman teaches mathematics instructors how help pupils produce a formal definition of division. Rather than allow them to watch someone solve a division problem and imitate the procedures, he teaches students to use real discovery. Beberman also develops the idea that division reverses what multiplication accomplishes. Black and white picture with sound. Eastman Kodak edge code reads "square triangle," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Equation Transformation Principles in Practice Part I, Teaching High School Mathematics; First Course; Equation Transformation Principles in Practice Part I
-
Identifier
-
e_mb_0041
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F64
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman guides students through practice exercises for the Equation Transformation Principles. They use the knowledge they have gained up to this point to solve equations that require principles they have not yet learned. Black and white picture with sound. Eastman Kodak edge code reads "square circle" which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Equation Transformation Principles in Practice Part II, Teaching High School Mathematics; First Course; Equation Transformation Principles in Practice Part II
-
Identifier
-
e_mb_0042
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F63
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman asks students if the following equations are equivalent: 3(x + 2) = 6 + 3x and 6 = 6. Beberman previously introduced students to the Equation Transformation Principles. In this film, students practice using this principle on equations that transform to a closed set. Black and white picture with sound. Eastman Kodak edge code reads "square circle," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Equivalent Equations and Transformation Principles, Teaching High School Mathematics; First Course; Equivalent Equations and Transformation Principles
-
Identifier
-
e_mb_0040
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F62
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman introduces and proves the Equation Transformation Principles, but does not show the the principle in practice. He also explores what happens when students encounter an equation they cannot solve by inspection. Black and white picture with sound. Eastman Kodak edge code reads "square circle," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Equivalent Equations: Developing the Concept, Teaching High School Mathematics; First Course; Equivalent Equations: Developing the Concept
-
Identifier
-
e_mb_0039
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1964-1965
-
Box
-
FILM2/F61
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman guides students in finding different names for the same set of numbers. He proposes what happens when the problem changes from recognizing descriptions of the same set to recognizing equations with the same roots?What happens when these students encounter an equation they cannot solve by inspection? This film is a precursor to solving easier, equivalent equation with the same roots. Black and white picture with sound. Eastman Kodak edge code reads "triangle square" which correlates to 1964.
-
-
Title
-
Teaching High School Mathematics; First Course; Functions: Foreshadowing the Concept, Teaching High School Mathematics; First Course; Functions: Foreshadowing the Concept
-
Identifier
-
e_mb_0012
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F32
-
Resource
-
Max Beberman film collection
-
Description
-
Max Beberman teaches mathematics instructors how to use the concepts he has covered in previous films (binary and singulary operations and inverses of operations) to ease children into working with functions in a way that will seem logical and natural. Black and white picture with sound. Eastman Kodak edge code reads "square triangle," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Inverses of Operations, Teaching High School Mathematics; First Course; Inverses of Operations
-
Identifier
-
e_mb_0011
-
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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F31
-
Resource
-
Max Beberman film collection
-
Description
-
Max Beberman addresses several questions concerning inverse operations: Does the binary operation of addition have an inverse? Is there any quick way of looking at a list of pairs for one operation that will tell you if the operation has an inverse? Inverse operations allow children to quickly find pairs in a new operation by altering the pairs that are already listed for a different operation. Black and white picture with sound. Eastman Kodak edge code reads "square triangle," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Isomorphism: Developing the Concept Part 1, Teaching High School Mathematics; First Course; Isomorphism: Developing the Concept Part 1
-
Identifier
-
e_mb_0005
-
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)
-
Dates
-
circa 1964-1965
-
Box
-
FILM2/F25
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman instructs 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 find that the numbers of arithmetic are sometimes inadequate for situations that require knowing both magnitude and direction. Beberman addresses these questions: Are the nonnegative real numbers different from the numbers of arithmetic? Why can we sometimes find the answer to one problem by solving another one instead? This is part one of a two-part lesson. Black and white picture with sound. Eastman Kodak edge code reads "triangle square," which correlates to 1964.
-
-
Title
-
Teaching High School Mathematics; First Course; Isomorphism: Developing the Concept Part 2, Teaching High School Mathematics; First Course; Isomorphism: Developing the Concept Part 2
-
Identifier
-
e_mb_0006
-
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)
-
Dates
-
circa 1964-1965
-
Box
-
FILM2/26
-
Resource
-
Max Beberman film collection
-
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.
-
-
Title
-
Teaching High School Mathematics; First Course; Logical Basis for Equation Transformation Principles Part I, Teaching High School Mathematics; First Course; Logical Basis for Equation Transformation Principles Part I
-
Identifier
-
e_mb_0035
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F57
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman discusses how to solve an equation when it must be simplified in order to create a more easily-solved root. Beberman introduces the Uniqueness Principle for Addition and its converse, the Cancellation Principle for Addition. These two principles form the Addition Transformation Principle. The students learn clear distinctions between a logical principle and a mathematical principle, and how to interpret conditional sentences. Black and white picture with sound. Eastman Kodak edge code reads "square circle," which correlates to 1965.
-
-
Title
-
Teaching High School Mathematics; First Course; Logical Basis for Equation Transformation Principles Part II, Teaching High School Mathematics; First Course; Logical Basis for Equation Transformation Principles Part II
-
Identifier
-
e_mb_0036
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F58
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman guides students through the formulation and proof for the Uniqueness Principle for Multiplication, the Cancellation Principle for Multiplication, and the Logical Principle Modus Ponens. He also teaches the class how to construct Truth Values for Conditional Sentences. Students also name instances for the converse of a condition and a contrapositive of a conditional based on the Rule of Contraposition. Black and white picture with sound. Eastman Kodak edge code reads "square circle," which correlates to 1965.
-
-
Title
-
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
-
Identifier
-
e_mb_0037
-
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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F59
-
Resource
-
Max Beberman film collection
-
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.
-
-
Title
-
Teaching High School Mathematics; First Course; Naming Sets: The Set Abstractor, Teaching High School Mathematics; First Course; Naming Sets: The Set Abstractor
-
Identifier
-
e_mb_0032
-
Creator
-
University of Illinois Committee on School Mathematics (producer)
-
Contributor
-
Beberman, Max (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)
-
Dates
-
circa 1965-1966
-
Box
-
FILM2/F54
-
Resource
-
Max Beberman film collection
-
Description
-
Mathematician Max Beberman teaches students the standard method of naming solution sets of real numbers, which they then describe in sentences. The pupils also learn to abbreviate solution sets and to interpret the new abbreviation symbol as they search for solution sets. Black and white picture with sound. Eastman Kodak edge code reads " square circle," which correlates to 1965.