Teaching and Learning Fundamental Mathematics
(20 hours of indexed video; plus free 500 page pdf textbook, diagnostic tests and three summary packages on teaching; whole number place value, addition, subtraction, multiplication, division and fraction operations).
This package involves detailed and systematic instructions on what to say, what materials to use and how make the structures of all the critical mathematics from prep to year 9 understandable. The package is very strong in covering the understanding and teaching of key whole number processes (addition, subtraction, multiplication, division) and fraction problem solving, rate, ratio, probability, scale; basic geometry and algebra to middle school. Since the various formulas/rules are derived or discovered they makes sense and can thus be remembered. Between the video material and the text primary, lower secondary teachers or any parent can greatly increase their power to understand and to teach children to understand foundation mathematics.
The package also includes a series of tests and videos to support the diagnosis and remediation of critical student errors with whole number and fraction problem solving.
Designed for: This package has already transformed the mathematical lives of a lot of teachers and children. Ideal for teachers and home school parents.
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A.01 # Introduction to the DVD Set
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A.02 # Whole Number Overview
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A.03 # A Summary of Primary Mathematics
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A.04 # A Pedagogical Model
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A.05 # Assumptions about Teaching and Learning
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A.06 # Planning a Maths Lesson
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B.01 # Brief Summary of our Number System
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B.02 # Naming Numbers and Place Value
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B.03 # Naming Single Digit Numbers
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B.04 # Games to Consolidate Naming Numbers
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B.05 # Teaching Place Value
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B.06 # Naming Teens and Consolidation of Naming
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B.07 # Naming and Renaming with Base Ten Materials
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B.08 # Further Renaming Strategies
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B.09 # Expanded and Scientific Notation
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B.10 # Decimals and Index Notation
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B.11 # Converting to and from Expanded and Scientific Notation
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B.12 # Ordinal Numbers
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C.01 # Developing the Addition Concept
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C.02 # Developing the Addition Algorithm
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C.03 # Strategies to Memorise Addition Facts
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C.04 # Abstraction of the Addition Algorithm
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C.05 # Summary of Addition Teaching
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D.01 # Introduction to Take Away
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D.02 # Difference between Addition and Subtraction
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D.03 # Subtraction with Renaming
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D.04 # Subtraction for Comparison
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D.05 # Subtraction for Missing Part
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D.06 # Subtraction with Larger Numbers and Internal Zeros.
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D.07 # Subtraction with an Alternative Renaming
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E.01 # Introduction to Multiplication
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E.02 # Developing the Multiplication Algorithm
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E.03 # Learning Multiplication Facts
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E.04 # Multiplication using the Area Model
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E.05 # Multiplying Larger Numbers
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E.06 # Estimation with Addition, Subtraction and Multiplication
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F.01 # Introduction to Division
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F.02 # Developing the Division Algorithm
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F.03 # Using the Division Algorithm on Large Numbers
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G.01 # Factorising
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G.02 # Divisibility Rules for 2, 3 and 4
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G.03 # Divisibility Rules for 5 to 10
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G.04 # Finding the Highest Common Factor
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G.05 # Finding the Lowest Common Multiple
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H.01 # Introducing Directed Numbers
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H.02 # Adding and Subtracting Directed Numbers
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H.03 # The Number Line Game
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H.04 # Order Convention
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I.01 # Overview of Fractions, Decimals and Percentage
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I.02 # Common Fractions and Proper Fractions
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I.03 # Renaming Fractions
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I.04 # Making the Whole Problems
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I.05 # Comparing Common Fractions
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I.06 # Conversion of Mixed Numbers and Improper Fractions
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I.07 # Addition of Fractions
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I.08 # Subtraction of Fractions, Addition of Mixed Numbers
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I.09 # Subtraction of Mixed Numbers
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I.10 # Multiplication of Fractions
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I.11 # Multiplication of Mixed Numbers
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I.12 # Division of Fractions and Mixed Numbers
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J.01 # Introduction to Decimals
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J.02 # Introduction to Percentage
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J.03 # Addition and Subtraction of Decimals
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J.04 # Multiplication of Decimals
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J.05 # Division of Decimals
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J.06 # Problem Solving Using Naming and Renaming of Fractions
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J.07 # Problem Solving with Fraction Addition
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J.08 # Problem Solving with Fraction Subtraction
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J.09 # Division Problem Solving
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J.10 # Problem Solving using Percentage
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K.01 # Ratio and Equivalent Ratios
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K.02 # Problem Solving using Equivalent Ratios
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K.03 # Problem Solving using Ratio And Fractions
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K.04 # Introduction to Rates
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K.05 # Problem Solving using Rates
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K.06 # Inverse Proportion
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K.07 # Proportion in Parts Problems
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K.08 # Creating Parts Problems
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K.09 # Percentage and Proportion Problems
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K.10 # Percentage Problems
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L.01 # Introduction to Probability
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L.02 # Introduction to Theoretical Probability
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L.03 # Probability Trees
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L.04 # Probability and Gender Chances
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L.05 # Probability and Dress Up Games
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L.06 # Probability and the Horse Race
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L.07 # Simple Non Replacement
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L.08 # Probability with a Focus on Re-Naming
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M.01 # Data Representation and Bar Graphs
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M.02 # Line Graphs
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M.03 # Pie Graphs
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M.04 # Complex Pie Graphs
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M.05 # Interpreting Graphical Data
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M.06 # Interpreting Line Graphs
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M.07 # Mean, Median and Mode
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M.08 # Stem and Leaf Representations
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M.09 # Box and Whisker Plots
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N.01 # Overview of Pre Algebra
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N.02 # Equivalence and Substitution with Simple Scales
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N.03 # Equivalence with Beam Scales
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N.04 # Introduction to Simple Patterns
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N.05 # More Sophisticated Patterns
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N.06 # Square and Triangle Based Patterns
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N.07 # Associative Law or Turn Around
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N.08 # Introduction to the Distributive Law
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N.09 # Introduction to Order of Operations
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N.10 # Introduction to Cartesian Plane
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N.11 # Cartesian Plane with 4 Quadrants
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N.12 # Revision of Algebra Tool Kit
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N.13 # Introduction to Dependent and Independent Variables
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N.14 # Non Linear Relationships Modelled
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O.01 # Developing Expressions with Materials
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O.02 # Developing Equivalent Expressions
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O.03 # Different Wording in Relationship between Variables
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O.04 # Transforming Equivalent Expressions
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O.05 # Consolidation with Expression Games
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O.06 # Substitution in Expressions
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O.07 # Multiplication of two Expressions
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O.08 # Solving Simple Expressions
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O.09 # Solving with Symbols and Back Tracking
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O.10 # Solving Consolidation Game
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O.11 # Different Ways to represent Relationships
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O.12 # Further Representations of Equations
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O.13 # Consolidation Game for matching Representations
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O.14 # Equations with a Negative Gradient
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O.15 # Quick Methods to Indentify Equations of Graphs
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O.16 # Revision of Linear Algebra
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P.01 # Introduction to Measurement
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P.02 # The Language of Time
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P.03 # Telling Analogue and Digital Time
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P.04 # Where did Time Units come from?
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P.05 # Adding and Subtracting Time
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P.06 # Introduction to Length
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P.07 # Length Conversions
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P.08 # Area and Area Estimations
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P.09 # Volume
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P.10 # Mass and Weight
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P.11 # Density and Buoyancy
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Q.01 # Introduction to Geometry
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Q.02 # Perimeter, Area, and Angles
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Q.03 # Quadrilaterals and Triangles
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Q.04 # Perimeter and Area for Squares, Rectangles, and Triangles
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Q.05 # Perimeter and Area for Parallelograms and Trapeziums
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Q.06 # Circle, Circumference, Diameter, and Radius
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Q.07 # Magic Numbers in Geometry
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Q.08 # Pi and Circumference of a Circle
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Q.09 # Pi and Area of a Circle
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Q.10 # Surface Areas and Nets
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Q.11 # Potted Summary of Geometry
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Q.12 # Enlargement and Reduction
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Q.13 # Enlargement from an internal Point
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Q.14 # Enlargement from an external Point
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Q.15 # Maps and Scales
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Q.16 # Introduction to the Compass
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R.01 # Doing a National Numeracy Test, Pt 1
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R.02 # Doing a National Numeracy Test, Pt 2
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R.03 # Doing a National Numeracy Test, Pt 3
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R.04 # Doing a National Numeracy Test, Pt 4
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R.05 # Doing a National Numeracy Test, Pt 5
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R.06 # Doing a National Numeracy Test, Pt 6
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R.07 # Doing a National Numeracy Test - Conclusions
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S.01 # Introduction to Error Diagnosis
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S.02 # Whole Number Error Diagnosis
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S.03 # Addition Error Diagnosis
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S.04 # Subtraction Error Diagnosis
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S.05 # Multiplication Error Diagnosis
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S.06 # Division Error Diagnosis
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S.07 # Fraction Error Diagnosis
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T.01 # Introduction to Problem Solving
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T.02 # Problem Solving Examples, Pt 1
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T.03 # Problem Solving Examples, Pt 2
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T.04 # Problem Solving Examples, Pt 3
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DIA_0 # Introduction to Diagnostic tests
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DIA_1 # Test. Whole Number Numeration
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DIA_2 # Test. Basic Addition
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DIA_3 # Test. Basic Whole Number Subtraction
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DIA_4 # Test. Multiplication Diagnosis
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DIA_5 # Test. Division
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DIA_6 # Test. Fraction Numeration
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DIA_7 # Test. Fraction Additon and Subtraction
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DIA_8 # Test. Fraction Multplication and Division
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Stephen Norton - Teaching and Learning Fundamental Mathematics 2017.pdf
11.3 MB
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Stephen Norton - Diagnostic Tests.pdf
466 KB
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S Norton - Crash Course in Teaching Multiplication and Division 2022.pdf
1.59 MB
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S Norton - Crash Course in Teaching Fractions 2022.pdf
2.26 MB
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S Norton - Crash Course in Teaching Place value addition subtraction 1-3.pdf
3.13 MB