Group items tagged

"When I get a taxi for the 15-minute ride from my office to the airport, I have two choices. I can hail a cab on the street, and pay a metered fare for the 4.6-mile trip. Or I can walk to the local Marriott and pay a fixed fee of $31.50. Truthfully, I'm always a lot happier paying the fixed fee. I'm happier even though it probably costs more in the end. (A congestion-free trip on the meter comes out to about $26.) Sitting in a cab watching the meter tick up wrenches my gut: Every eighth of a mile, there goes another 45 cents-tick ... tick ... tick." ...this provides interesting context for a math problem using linear equations. When is it worth it to pay the fixed fare vs. paying the per 1/8th of a mile rate? You could "3-Act" this scenario pretty easily: -Take a short video of a taxi fare display clicking upwards. Ask students to give you the first questions that come to mind. When the students ask for it, provide them with a photo of the rate schedule on the side of the taxi and your destination address.

"A study conducted by two Michigan psychologists, for example, reports that middle-school math students asked to anticipate how linear and exponential factors work-before this information was taught-became more curious about the content of the lessons they then proceeded to learn. Even more importantly, the act of venturing predictions prompted them to understand the material more deeply as they engaged in reasoning and sense-making about math instead of mere memorization."