tag:blogger.com,1999:blog-8256492698354362046.post2181238302178317195..comments2024-02-27T16:50:02.895+11:00Comments on Authentic Inquiry Maths: What Is My Area?Bruce Ferringtonhttp://www.blogger.com/profile/07947474361978469990noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-8256492698354362046.post-83339077880452168672013-05-27T15:48:15.782+10:002013-05-27T15:48:15.782+10:00Do you mind if I quote you and link this post from...Do you mind if I quote you and link this post from the Math Thinking blog? See http://maththinking.orgDavidhttps://www.blogger.com/profile/08098221991466148258noreply@blogger.comtag:blogger.com,1999:blog-8256492698354362046.post-39995564028480954392013-03-22T07:45:42.165+11:002013-03-22T07:45:42.165+11:00I would push them to the point of "cognitive ...I would push them to the point of "cognitive dissonance" - let them keep working with the wrong idea until their position is untenable. Let them discover for themselves that what they are saying can't possibly be true. Keep looking at examples that will highlight the inconsistencies. When they suddenly realise, "Hey - that can't be true!" then you know they have made the first step in working it out.Bruce Ferringtonhttps://www.blogger.com/profile/07947474361978469990noreply@blogger.comtag:blogger.com,1999:blog-8256492698354362046.post-22689355468541648982013-03-22T03:45:40.077+11:002013-03-22T03:45:40.077+11:00The "rearrange the perimeter and the area doe...The "rearrange the perimeter and the area doesn't change" misconception is really interesting. I mean, I've seen it in pencil-and-paper calculations all the time, but I would have guessed that seeing it in action with a physical region would wake the kids up to the fact that their rearranged perimeter encloses a much bigger region than the one whose area they want.<br /><br />How did you follow up the conversation with those kids (or with your class) about this issue?Joshua Zuckerhttps://www.blogger.com/profile/04689961247338617418noreply@blogger.comtag:blogger.com,1999:blog-8256492698354362046.post-80642585599798829042013-02-28T23:14:20.272+11:002013-02-28T23:14:20.272+11:00Thanks for posting this! I am going to do this. I&...Thanks for posting this! I am going to do this. I'm curious to know what my class would come up with.Bart Millerhttps://www.blogger.com/profile/04481812199157167570noreply@blogger.com