Learning Opportunities

This session has been completed.

Building the Foundation for Mathematical Thinking through Decimals, Place Value and Fractions

Presented By

Keith Van De Keere

Session Details

Date Time
February 28, 20189:00 am to 3:30 pm

Location

Edmonton (Consortium Office at Elmwood School)
Room 17/18, 16325 - 83 Avenue
Google Map

Grade Levels

All

Understanding place value is crucial for students to move past counting as their strategy and to be considered an additive thinker. So place value understanding is the foundation for the development of early mathematical thinking. Yet many students do not have a clear “picture” of what place and value really mean. We will discuss the importance of first building a visual understanding and then asking students to connect it to the symbolic representation and to find the math in action. This allows us to talk about the math rather than just get answers.

In the morning, we will investigate:

  • Using inventory activities to help students to see the connection between “how many” and how our numbers are written.
  • “Building” a place value model to show place and value meaning
  • “Wipe out” numbers to look at the mechanics of place value
  • Using blocks to make a measurement tool
  • How place value understanding relates to mental math skills
  • Working with non-standard partitioning of numbers that leads us to solve addition and subtraction problems without “carrying” or “borrowing”.

In the afternoon, we will make connections for students in decimals, place value and fractions and we we will investigate:

  • Building a “unit decimal” to:
    • show place and value meaning
    • show that decimals are an extension of the place value system
    • lead towards discussion about place holders and non-standard partitioning
  • Fractions and decimals as one big idea.
  • Number lines to “skip count” with decimals and fractions
  • Four ways that students need to think about fractions and decimals
    • Comparing cutting a sub sandwich into decimals with long division for 7 ÷ 8
    • How far can we go with fractions without formally mentioning common denominators?

Target Audience

Grades 2-6 Math Teachers, Lead Teachers

Please bring scissors, calculator and glue stick.

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