# doing math vs. understanding math david “coach g” ginsburg [email protected]

20
Doing Math vs. Understanding Math David “Coach G” Ginsburg

Post on 19-Jan-2016

212 views

Category:

## Documents

Tags:

• #### multiple solution

TRANSCRIPT

Electrolysis

Doing Math vs. Understanding MathDavid Coach G [email protected] would you solve this problem? A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

[email protected]

2Would you use this approach? A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

\$124.00 x .35 = \$43.40\$124.00 - \$43.40 = \$80.60

[email protected] approach? A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

100% - 35% = 65% \$124.00 x .65 = \$80.60

[email protected] would you do something like this?A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

65% = 50% + 10% + 5%\$124.00 x 50% = \$62.00\$124.00 x 10% = \$12.40 \$124.00 x 5% = \$ 6.20 Sale price = \$80.60

[email protected] one approach better than others? Why?Procedural FluencyConceptual [email protected] Fluency > AccuracyProcedural fluency is the ability to apply procedures accurately, efficiently, and flexibly

NCTM Position Paper

[email protected] #1: Efficient? Flexible?A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

\$124.00 x .35 = \$43.40\$124.00 - \$43.40 = \$80.60

[email protected] #2: Efficient? Flexible? A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

100% - 35% = 65% \$124.00 x .65 = \$80.60

[email protected] #3: Efficient? Flexible?A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

65% = 50% + 10% + 5%\$124.00 x 50% = \$62.00\$124.00 x 10% = \$12.40 \$124.00 x 5% = \$ 6.20 Sale price = \$80.60

[email protected] #1: Conceptual understanding?A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

\$124.00 x .35 = \$43.40\$124.00 - \$43.40 = \$80.60

[email protected] #2: Conceptual understanding?A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

100% - 35% = 65% \$124.00 x .65 = \$80.60

[email protected] #3: Conceptual understanding?A pair of shoes that cost \$124 was on sale for 35% off. What is the sale price?

65% = 50% + 10% + 5%\$124.00 x 50% = \$62.00\$124.00 x 10% = \$12.40 \$124.00 x 5% = \$ 6.20 Sale price = \$80.60

[email protected] Fluency and Conceptual Understanding5 Supporting Practices for Your Classroom

[email protected]. A Purpose for Every [email protected]

152. Pencils Down, Minds On

[email protected]. Multiple Solution [email protected]

174. Gradual Rapid Release of [email protected]

Work the crap out of every problem185. Assist Less, Assess [email protected]

19The Procedural Fluency and Conceptual Understanding ConnectionJoin me tomorrow for pencils down, minds on math!

12:30 - Room 303

[email protected]