Math Exercise: Multiple Approaches to Problem-Solving

For example, if the problem was to fi nd the answer to 8 × 6, students may suggest three options: memorizing the multiplication table for 6, knowing that 8 × 5 = 40 and adding another 8 to equal 48, or adding a column of six 8s. Allowing students to personally choose among approaches all confi rmed as correct and to support their choice will increase their comfort levels. Th is process also builds math logic, intuition, and reasoning skills that extend into other academic subjects and real-...

 Consumption of Media Has Moved to Bits and Pieces

The problem is: We just don't do whole things anymore. We don't read complete books — just excerpts. We don't listen to whole CDs — just samplings. We don't sit through whole baseball games — just a few innings. Don't even write whole sentences. Or read whole stories like this one. We care more about the parts and less about the entire. We are into snippets and smidgens and clips and tweets. We are not only a fragmented society, but a fragment society. And the result: What we gain is ...