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 Distr

  • 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