Major Learning Targets

  • Number and Operations

    Learn how to teach place value and all four operations with a balance of conceptual understanding and procedural fluency. This learning will change the way you understand and teach the 4 standard algorithms for the four operations.

  • Mental Math and Problem-Solving

    Develop proficiency with Singaporean tactics for teaching mental arithmetic and problem-solving through visual representations and powerful diagrams. These two topics will become an important platform for your teaching practice.

  • Implementation

    Learn about Singaporean textbooks and their structure. Fill your teaching toolkit with ideas for unit planning, lesson planning, homework and assessment.

Course curriculum

  • 1
    Chapter 1: Course Orientation
  • 2
    Chapter 2: Singaporean Math from 30,000 feet
  • 3
    Chapter 3: Place Value Pedagogy
  • 4
    Chapter 4: Addition and Subtraction - Models to Algorithms
  • 5
    Chapter 5: Multiplication and Division - Models to Algorithms
  • 6
    Chapter 6: Mental Math Tactics
  • 7
    Chapter 7: Problem-Solving Tactics
  • 8
    Chapter 8: Planning and Implementation Tactics
  • 9
    Chapter 9: Conclusions
  • Welcome! Allow me to introduce myself How to use this course Goals and structure of the course What is the Learning Journal and how do I use it? Required PDF materials
  • What is Singaporean Math? Context and research Balancing procedural fluency and conceptual understanding Some textbook examples Test your learning
  • A Few Words About Modeling Place Value Overview: Progression and Representation Building Numbers Optional: Building Decimal Numbers Changing Numbers Changing Numbers: Another Example Changing Numbers: Regrouping Changing Numbers With Regrouping: 10 more than 490 Changing Numbers With Regrouping: 10 less than 200 Optional: Changing Decimal Numbers Practice Set: Building and Changing Numbers Test your learning
  • 4.1 Modeling Addition Without Regrouping: 2 Problems Modeling Addition With Regrouping: 2 Problems Optional: Decimal Addition Without and WITH Regrouping: 2 Problems Addition Modeling Practice Modeling Subtraction Without Regrouping: 2 problems Modeling Subtraction WITH Regrouping: 3 problems Optional: Modeling Decimal Subtraction Without and WITH Regrouping; 2 problems Subtraction Modeling Practice Moving to the Standard Algorithms: Addition - 2 problems Moving to the Standard Algorithms: Subtraction - 2 problems Moving to the Standard Algorithms: Practice Test your learning
  • Introduction to Multiplication and Division Modeling Multiplication without regrouping: 2 problems Modeling Multiplication WITH regrouping: 2 problems Multiplication Modeling Practice Moving to the Standard Algorithms: Multiplication Modeling Division Without Regrouping: 2 problems Modeling Division WITH regrouping: 2 problems Division Modeling Practice Moving to Standard Algorithms: Division Test Your Learning
  • Mental Math Overview Addition Strategy: Add ones first Addition Strategy: Make a Ten Subtraction Strategy: Down to the Benchmark Subtraction Strategy: Regrouping Multiplication Strategy: Place Value Division Strategy: Multiples
  • Problem-Solving Overview The Problem Solving Packet Problems 1 & 2: Part-Whole Add/Subtract Problems 3 & 4: Part-Whole and Comparison Add/Subtract Problems 5 & 6: Comparison Add/Subract Problems 7 & 8: Part-Whole Addition/Multiplication Problems 9 & 10: Two Models for Division Problems 11 & 12: Division With Remainders and Comparison Multiplication Problems 13 & 14: Comparison Multiplication Problems 15 & 16: Part-Whole Fractions Problems 17 & 18: Part-Whole More Advanced Fractions Problems 19 & 20: Common Denominators and Comparison Ratio
  • Materials Overview Textbook Tour The 5 Component Lesson Homework Ideas Assessment Considerations Optional: Extra Resources Planning Your First Unit
  • Congrats! Here's what's next... More resources for you Before you go...

Pricing options

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Feel Prepared and Proactive

With Singaporean approaches to math teaching, preparation is everything. This course will improve your pedagogy, of course, but it is also likely to deepen your understanding of the math you teach.

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