The Canadian Montessori Teacher Education Institute ELEMENTARY MONTESSORI MATH ALBUM
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1 The Canadian Montessori Teacher Education Institute Daniel Jutras Ph.D. Master Teacher ELEMENTARY MONTESSORI MATH ALBUM
2 The Canadian Montessori Teacher Education Institute ELEMENTARY MONTESSORI MATH ALBUM WORK to do with 1 to 10 - Snake Game - Associativity Property - Dissassociativity Property Table of contents LINKAGE to the DECIMAL SYSTEM 1. QUANTITIES - Golden Beads: 1, 10, 100 And Counting through-golden Beads - Bird s Eye View / Great Display 2. OPERATIONS WITH THE GOLDEN BEADS - House-Keeping 3. SYMBOLS - Numerals: 1, 10, 100 And Symbols: Counting through-numerals - Symbols: Bird s Eye View / Great Display 4. COMBINATION: QUANTITIES AND SYMBOLS - From Quantity to Symbols - Formation of a Large Number - From Symbols to Quantity
3 5. THE STAMP GAME - Geometric Multiplication 6. PEGS GAME - Geometric Multiplication 7. DOT GAME 8. SMALL BEAD FRAME QUANTITIES AND SYMBOLS: SEGUIN BOARD: (Teen Boards) Quantities from 11 to 19 Symbols from 11 to 19 Combination Quantities and Symbols from 11 To SEGUIN BOARDS (Ten Boards) Quantities from 10 to 90 Symbols from 10 to 90 Combination Quantities and Symbols from 10 to 90 Quantities from 11 to 99 Symbols from 11 to 99 Combination Quantities and Symbols from 11 to 99
4 11. SEQUENCE BOARD OF SEQUENCE CHAIN OF 100 and 1, ADDITION TABLES Addition Table # 1 Addition Table # 2 Addition Tables # 1 and # 2 Addition Table # 3 Addition Table # 4 Addition Table # 5 Addition Table # 6 (Blind Table) Summary of Addition 14. SUBTRACTION TABLES Subtraction Table # 1 Subtraction Table # 2 Subtraction Table # 3 (Blind Table) Summary of Subtraction 15. MULTIPLICATION TABLES Multiplication Table # 1 Multiplication Table # 2 Multiplication Tables # 3 Multiplication Table # 4 Multiplication Table # 5 (Blind Table) Summary of Multiplication 16. DIVISION TABLES Division Table # 1 Division Table # 2 (Blind Table) Summary of Division 17. QUANTITY: HIERACHICAL MATERIAL Quantities Symbols Combination Symbols & Quantities 18. LONG MULTIPLICATION with the CHECKER BOARD 19. LARGE BEAD FRAME Getting acquainted with quantity Forming complex numbers which are dictated orally Notation of numbers excluding zeros Notation of numbers including zeros Notating complex numbers with no zeros 20. LONG MULTIPLICATION WITH THE LARGE BEAD FRAME Multiplication and notation of the partial products as well as the final product Multiplying with a zero in the multiplier
5 21. LONG MULTIPLICATION as in a REAL BANK 22. FLAT BEAD FRAME 23. RACKS AND TUBES 24. FRACTIONS Presentation of addition of fractions with the same denominator Presentation of subtraction of fractions with the same denominator Presentation of division of fractions by a whole number 25. PROPER, IMPROPER, MIXED AND APPAERENT FRACTIONS Apparent Fractions Improper Fractions Mixed Fractions 26. COINAGE 27. ROMAN NUMERALS 28. BINOMIAL CUBE Presentation # 1 (sensorial) Presentation #2 (mathematical) 29. TRINOMIAL CUBE Presentation # 1 (sensorial) Presentation #2 (mathematical) Story of the Three Kings 30. DECANOMIAL SQUARE Presentation of the formation of the ten tables of multiplication of the numbers 1 to 10 Vertical Presentation Horizontal Presentation Presentation alternating Rows and Columns ( angular or diagonal ) Commuted Presentation Numerical presentation 31. SQUARING Presentation of the transformation of the square into a binomial Presentation of the transformation of the square into a trinomial 32. MULTIPLES Forming multiples Exploring common multiples Finding common multiples 33. LEAST COMMON MULTIPLE 34. FACTORS 35. PRIME FACTORS 36. REDUCTION OF NUMBERS TO THEIR PRIME FACTORS
6 37. DIVISIBILITY Divisibility by 2 Divisibility by LONG GROUP DIVISION Presentation with two-digit divisor Presentation with three digit divisor Presentation with first digit of the divisor greater than the first digit of the dividend Presentation with zero in the quotient Presentation with zero in the divisor Presentation with zero in the units of the divisor 39. DECIMAL FRACTIONS Presentation of quantities Presentation of symbols Presentation of combination of symbols and quantities Presentation of reading quantities Presentation of operations with decimal fractions / addition Presentation of operations with decimal fractions / subtraction Presentation of operations with decimal fractions / multiplication Presentation of operations with decimal fractions / multiplication of a fraction by a fraction Presentation of operations with decimal fractions / division 40. BEAD CHAINS - SKIP COUNTING
Table of Contents. Page Cover Page 1 Rationale 2 Copyright Information 3. Mathematics Outline Presentations 5
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