Highlight of the Day:

Context: AP Calc class, talking through some multiple choice (no calculator) problems from a practice test.

Problem:

what is ;

Me (typical first question): So....what should we do?

Student: Substitute the 2 in for t to find the answer

Me: Why would we want to do that?

Student: Well, f(x) is the integral there, which means it's really the anti-derivative of the function. We want the derivative of that anti-derivative, which basically means we want the stuff inside the integral. So if you just substitute 2 in, you'll get the answer.

Me: You basically just explained the first part of the Fundamental Theorem of Calculus that you struggled with when we first talked about it. Woohoo!

Granted, I know his explanation skips the step where t in the integrand becomes x after you take the derivative, but the conceptual understanding of the relationship between derivatives and integrals is there. Made my day.

Photography #156

2 days ago

Super Cool. They GET it! Nice way to ease into the weekend.

ReplyDeleteMs. Cookie

Hello,

ReplyDeleteI just wanted to introduce the new Dreambox free summer school online math program for teachers.

DreamBox is offering its award winning math game to classrooms for free this summer. If you know of any teachers that may be interested or if you wish to try it for your classroom just go to: http://www.dreambox.com/summerschool

DreamBox classroom offers

• A serious math curriculum with more than 500 online lessons.

• Completely individualized learning for each child in the class. They can learn at their own pace.

• Teachers get an at-a-glance progress summary for every student in the class.

For more information take a look at:

http://www.dreambox.com/blog/use-dreambox-learning-k-3-math-free-in-summer-school-classes

Thanks,

Tracy Beach

DreamBox Learning, Inc. | 10900 NE 8th Street, Suite 600, Bellevue, WA 98004 | http://www.dreambox.com/

Tell us what you think: http://www.dreambox.com/blog/

Twitter: http://twitter.com/DreamBox_Learn

Facebook: http://www.facebook.com/Math.Learning