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Always Isn’t Forever

Live Curious, Go Beyond 2021

Intended Audience:

Elementary Teachers

The full presentation will be available on February 20, 2021

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“A major goal of mathematics instruction is to teach for understanding, so that students build a foundation of mathematical knowledge. But teachers can’t teach for understanding if they don’t have a firm foundation of understanding themselves.”

​

Marilyn Burns, 2007

About Teaching Mathematics

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Breakout Room

  • Take note of your Breakout Room Number.
  • Introduce yourself.
  • Share your thoughts about the video.
  • What are next steps with this student?
  • What could be done differently in the future?

https://wheelofnames.com/

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Keywords in word problems can tell you how to solve the problem.

Expires in 3rd grade - multi-step word problems.

Always isn’t forever...

Avoiding the Ineffective Keyword Strategy

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Find the product.

26 x 10

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Find the product.

2.6 x 10

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When multiplying a number by ten, just add a zero to the end.

Expires in 5th grade - multiplying decimals

Always isn’t forever...

When You Multiply by 10, Just Add a Zero? Horrors!?!

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Always subtract the smaller number from the larger number.

Addition and multiplication make numbers bigger.

Always divide the larger number by the smaller number.

Subtraction and division make numbers smaller.

These rules expire.

Try to write a problem for which the rule will not hold.

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Always subtract the smaller number from the larger number.

Expires in 7th grade - operations with rational numbers

Always isn’t forever...

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Always divide the larger number by the smaller number.

Expires in 5th grade - operations with fractions

Always isn’t forever...

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Addition and multiplication make numbers bigger.

Expires in 5th grade - operations with fractions and decimals

Always isn’t forever...

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Subtraction and division make numbers smaller.

Expires in 6th grade - operations with fractions as well as rational numbers

Always isn’t forever...

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Alexis (1st grader) was given each equation and asked to determine if the equation was true or false.

  • 3 + 6 = 9 (true)
  • 8 = 2 + 6 (false)
  • 4 + 7 = 11 (true)
  • 1 + 9 = 5 + 5 (false)
  • 6 = 1 + 5 (false)

Write an “Always isn’t forever” rule for this situation.

https://wheelofnames.com/

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The equal sign means to find the answer.

Expires in 1st grade - understand the meaning

of the equal sign

Didax- Math Balance

The Equal Sign: What it Really Means

Always isn’t forever...

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Always Isn’t Forever

Can you think of any other math rules that expire? Try to write another “Always Isn’t Forever” rule.

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“Our own content knowledge affects how we interpret the content goals we are expected to reach with our students.”

​

Glenda Lappan, 1999

Knowing What We Teach and Teaching What We Know

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“Our own content knowledge affects how we interpret the content goals we are expected to reach with our students. It affects the way we hear and respond to our students and their questions.

Glenda Lappan, 1999

Knowing What We Teach and Teaching What We Know

  • And it affects our ability to make those moments happen more often for our students.”
  • It affects our ability to explain clearly and to ask good questions.
  • It affects our ability to approach a mathematical idea flexibly with our students and to make connections.
  • It affects our ability to push each student at that special moment when he or she is ready or curious.

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“A major goal of mathematics instruction is to teach for understanding, so that students build a foundation of mathematical knowledge. But teachers can’t teach for understanding if they don’t have a firm foundation of understanding themselves.”

​

Marilyn Burns, 2007

About Teaching Mathematics

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Developing Math Background Knowledge:

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  • 13 Rules that Expire- The main source of this presentation*

​

Developing Math Background Knowledge:

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Projectaero.org

  • On the left side of the page, find the yellow box with math resources: “Math K-5,” “Mathematics Resources for Assessment,” and “Implementing Problem Solving.” The “Guidance for 2020-2021” section is also filled with resources.
  • Grade Level Specific Vocabulary:
    • Math K-5---G__ Resources (pick grade level)---Vocabulary
  • Grade Level Standards Unpacked:
    • Math K-5---G__ Resources (pick grade level)---Vocabulary

Developing Math Background Knowledge:

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Additional Resources:

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Thank you for joining me today!

Katie O’Gorman

American School Foundation of Monterrey katie.ogorman@asfm.edu.mx

@mskatieogorman (twitter)