tag:blogger.com,1999:blog-5473916205424933781.post6117068135060577170..comments2022-08-09T05:03:21.866-04:00Comments on M^3 (Making Math Meaningful): What's Your Best Question?Mary Bourassahttp://www.blogger.com/profile/12427568524129802618noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-5473916205424933781.post-88518789287978015022016-06-02T20:03:19.275-04:002016-06-02T20:03:19.275-04:00I love this idea, Amy. Looking forward to trying i...I love this idea, Amy. Looking forward to trying it out.<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-40375112747112982842016-06-02T07:53:43.781-04:002016-06-02T07:53:43.781-04:00This is a really interesting approach. I would not...This is a really interesting approach. I would not have thought of tying it back to other times it made sense to substitute. Thanks for getting me thinking further!Mary Bourassahttps://www.blogger.com/profile/12427568524129802618noreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-11537216712780599232016-06-02T00:10:38.585-04:002016-06-02T00:10:38.585-04:00I sometimes start with: What do you wish it looked...I sometimes start with: What do you wish it looked like? <br />How fun is this. Sorry I missed the first shout out!Amy zimmerhttps://www.blogger.com/profile/09960137549431994944noreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-57777367405030550902016-06-01T20:16:02.870-04:002016-06-01T20:16:02.870-04:00Along the same lines, perhaps actually provide a s...Along the same lines, perhaps actually provide a similar problem from the past. Substitution seems to be the best method to consider, so maybe tell them to consider a problem along the lines of ... solve ' sin^2x + 2sinx + 1 = 0' or '5^2x + 2*5^x + 1 = 0'. Now can you apply a similar logic?<br /><br />Or give a similar problem in two dimensions, like a "rate" question where 1/x tends to appear. (Bob can paint a fence in 6 hours, Larry can paint a fence in 8 hours, if they work together, how long will it take... granted, there's other ways to solve that, but there's probably other ways to tackle this one too...)Gregory Taylorhttps://www.blogger.com/profile/06547180132612659893noreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-8449499664132378462016-06-01T20:02:27.223-04:002016-06-01T20:02:27.223-04:00What would a similar question look like that you C...What would a similar question look like that you COULD solve?CalcDavehttps://www.blogger.com/profile/14039458440867020542noreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-13500769004339360312016-06-01T20:00:57.514-04:002016-06-01T20:00:57.514-04:00I'm with Amie. I make a big deal about how a r...I'm with Amie. I make a big deal about how a recurring theme in math is trying to take a new problem and make it into a problem you have done before. So I would ask "Is this similar to something we have done in the past? How is it different? Now - how do we attack that difference?"George Woodburyhttps://www.blogger.com/profile/08281534651297515400noreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-82652578807452452362016-06-01T19:50:38.074-04:002016-06-01T19:50:38.074-04:001. "Does this remind you of something that yo...1. "Does this remind you of something that you've seen before? How did you solve that?"<br />2. "What makes this problem difficult for you? Is there a way to remove this difficulty?"<br />3. "Can you rewrite each term in a different way that might help?" (That seems a bit opaque, but I'm envisaging 2 times 1/x rather than 2/x.)<br /><br />Can't come up with a *best* question, but I'll keep brainstorming :).Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-29348901684871187122016-06-01T18:03:01.379-04:002016-06-01T18:03:01.379-04:00One of my go-to questions is "What's the ...One of my go-to questions is "What's the most annoying bit? Why is it annoying?" and "Would you know what to do if it was different?"Anonymoushttps://www.blogger.com/profile/04073905112410522288noreply@blogger.com