Investigating Functions With A Ferris Wheel coauthored with Peter Hornbein (@phornbein1) and Sumbal Azeem, appeared in the December 2016/January 2017 issue of NCTM’s Mathematics Teacher journal. This winter, Max Ray-Riek (@maxmathforum) and Annie Fetter (@MFAnnie) converted my Geometer’s Sketchpad sketches into Web Sketchpad Activities, freely available through NCTM Illuminations: Investigating Functions with a Ferris Wheel: Distance vs.… Continue reading Investigating Functions with a Ferris Wheel: Part 1

# Category: Investigating Students’ Math Reasoning

## How would you use mental math to solve 36×25?

Last week I asked #MTBoS followers how they would use mental math to solve 36×25. Hi #MTBoS I’m gathering some information for my #MTED5622 class. How would you use mental math to solve 36×25? — Heather Johnson (@HthrLynnJ) September 2, 2016 Below are a few responses that I received: @HthrLynnJ @mpershan 25×4 is 100. 4×9=36… Continue reading How would you use mental math to solve 36×25?

## Why is it so hard for students to make sense of rate?

Earlier this year, I searched for some newspaper headlines that dealt with rates. Here are a few that I came across: “Colorado unemployment rate among 10 lowest in the country” “Unintended pregnancy rate in U.S. is high, but falling” “Oil ends sharply higher. Logs 10% weekly gain as output draws focus” Many of the headlines… Continue reading Why is it so hard for students to make sense of rate?