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using common objects creatively! loved the egg carton example - could also cut up paper towel rolls into small rings and glue onto cardboard

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organize - helps with efficiency and flexibility in mathematical relationships

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ordering the number sentences made it easier to see patterns ... ordering helped them know they had found all the combinations (p. 481, SMP)

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Shifting our perspective on the meaning of =

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generalizations -- understanding that the rules for one equation can apply to all

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minend - subtrahend = difference

Minuend (min-you-end): a quantity or number from which another is to be subtracted.

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By encouraging children to organize, analyze, and generalize relationships, we can help them become more efficient and flexible in arithmetic (p. 483)

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Shifting

It is our job as elementary school teachers to get rid of the misconception that algebra is a hard, secondary education subject.

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You can start teaching algebra earlier than middle school, as early as Kindergarten.

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Thinking algebraically means applying what you know about the structure of numbers and mathematical properties of commutativity and associativity to solve algebraic problems.

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Representation!

When teaching Kindergartners in particular, it is important to use manipulative to represent the problem

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Equality :) same on both sides!
Bonus: balance!

We love the educreations screen casting idea for math or any subject! AHA!

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The screencast tool
provides teachers with unique insight as to stu-
dents’ reasoning, offering evidence of not only the product of students’ understanding but also their processes.

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I really liked the idea of using the egg carton for for a 10 frame because often times when using a regular 10 frame the pieces can shift or not stay in their proper square.

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An excellent mathematics program integrates the use of mathematical tools and technology as essential resources to help students learn and make sense of mathematical ideas, reason mathematically, and communicate their
mathematical thinking. (p. 78)

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opportunities

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Hands-on learning activities using fun manipulatives and technology integration to instill algebraic reasoning: these are the two benefits of the teaching methods presented in the two articles.

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using technology as a manipulative is extremely helpful in the classroom and students are able to visually see the math on a screen

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What is new learning or interesting to you? What is your takeaway?

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What word stood out as IMPORTANT or meaningful to you. It is okay to repeat if needed.

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Write the sentence or phrase you found below.