Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris...

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Decimal Addition & Subtraction Like You’ve

Never SeenPamela Weber Harris

@pwharrispamelawharris.com

pharris@byu.net

Next Session:Friday 8:00Decimal Multiplication & Division3:00 Percents

Math is figure-out-

able!

Counting

Additive

Multiplicative

Proportional Reasoning

Algebraic Reasoning

Problem Strings

Build Strategies while building Place-Value

Younger Students

Build Additive Thinking

49 + 1049 + 9

49 + 4049 + 393.8 + 1

3.8 + 0.93.8 + 5

3.8 + 4.97.27 + 2

7.27 + 1.996.6 + 2.96

Problem

Strings

49 + 1049 + 9

49 + 4049 + 393.8 + 1

3.8 + 0.93.8 + 5

3.8 + 4.97.27 + 2

7.27 + 1.996.6 + 2.96

Problem

Strings

OverStrateg

y

Counting

Additive

Multiplicative

Proportional Reasoning

Algebraic Reasoning

99 + 199 + 2799 + 689.9 + 0.19.9 + 3.7

4.98 + 0.024.98 + 2.636.74 + 1.25

56.97 + 38.98

Problem

Strings

99 + 199 + 2799 + 689.9 + 0.19.9 + 3.7

4.98 + 0.024.98 + 2.636.74 + 1.25

56.97 + 38.98

Problem

Strings

Give &Take

Not just about any way to do a problem......

The Landscape of Learning

53 - 4831 - 4

7.2 - 6.95.3 - 0.5

56.11 - 0.2248.03 - 47.99

Problem

Strings

ProblemStrings

Difference

versusRemova

l

53 - 4831 - 47.2 - 6.95.3 - 0.556.11 - 0.2248.03 -

47.99

6.5 - 2.96.2 - 2.67.1 - 3.56.3 - 2.76.6 - 3.07.6 - 4.0

13.2 - 9.6

Problem

Strings

6.5 - 2.96.2 - 2.67.1 - 3.56.3 - 2.76.6 - 3.07.6 - 4.0

13.2 - 9.6

ProblemStrings

Constant

Difference

Connections to Higher Math

Counting

Additive

Multiplicative

Proportional Reasoning

Algebraic Reasoning

Math is Figure-out-able

•Look to most efficient strategies

•Teachers build own numeracy

•It’s about relationships:

- Among numbers to solve problems

- Between teachers and students to build young mathematicians

Next Session:Friday 8:00Decimal Multiplication & Division3:00 Percents

Decimal Addition & Subtraction Like You’ve

Never SeenPamela Weber Harris

@pwharrispamelawharris.com

pharris@byu.net