So on Twitter.com/dmarain this morning I posted the following (I modified it slightly):

**"Java Coffee Co." gives you a free cup after you purchase 12. The % discount is 7.7% rounded.**

**EXPLAIN!**

*Common Core? 4th grade? 5th grade? Singapore Math? Blended learning? Flipped classrooms? Authentic assessments?*

Wonderful concise conceptual explanation from @MrLeiss on Twitter this morning. This is what sharing of ideas is all about!

See it on my account at

*twitter.com/dmarain**So where's the formula for % discount? % change in general? Why is it NOT in that video? Uh, that's rhetorical...*

As I explained in my video --

THIS IS NOT INTENDED TO BE PRESCRIPTIVE OR SCRIPTED!

It is just one old retired math teacher's way of keeping the dialog going and we all know that sharing of ideas is the only way our students will understand math better. We do believe that, yes??

SO SHARE YOUR THOUGHTS BUT PLS REMEMBER THE RAISON D'ETRE OF THIS BLOG. THE PROBLEM AND THE "ANSWER" IS FAR LESS IMPORTANT THAN THE METHODS WE USE TO DEVELOP CONCEPTUAL UNDERSTANDING.

My Core Beliefs

**1. THERE IS NO ONE BEST WAY TO TEACH THIS!**

**2. BELIEF #1, NOTWITHSTANDING, SOME WAYS ARE BETTER THAN OTHERS.**

**3. IT IS NEVER TOO EARLY IN A CHILD'S DEVELOPMENT TO INTRODUCE MATH CONCEPTS. IT'S JUST A MATTER OF HOW WE SAY IT AND HOW WE SHOW IT AND HOW WE ASK THE QUESTIONS AND WHAT ACTIONS WE ASK THEM TO TAKE!**

**4. CONCRETE (PHYSICAL OBJECTS) TO SYMBOLIC TO ABSTRACT ALWAYS MAKES SENSE REGARDLESS OF STUDENT DEVELOPMENT.**

*If interested in purchasing my NEW 2012 Math Challenge Problem/Quiz book, click on BUY NOW at top of right sidebar. 175 problems divided into 35 quizzes with answers at back and DETAILED SOLUTIONS/STRATEGIES for the 1st 8 quizzes. Suitable for SAT I, Math I/II Subject Tests, Common Core Assessments, Math Contest practice and Daily/Weekly Problems of the Day. Includes multiple choice, case I/II/III type and constructed response items. Price is $9.95. Secured pdf will be emailed when purchase is verified.*

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