tag:blogger.com,1999:blog-17830333.post8415608846025692454..comments2019-08-07T13:39:44.715-04:00Comments on meeyauw: MathNotations: Products of Digits: Challenges for Everyone...: Part 2Andreehttp://www.blogger.com/profile/08159511912645034019noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-17830333.post-84014507126631153542007-10-03T07:23:00.000-04:002007-10-03T07:23:00.000-04:00Hi Meeyauw!I really appreciate your sharing this p...Hi Meeyauw!<BR/>I really appreciate your sharing this problem with your middle school students. Your proof was very nice and similar to the way I did it. It's interesting how many variations there are, each one depending on the FORM of the equation used for the analysis.<BR/><BR/>I am particularly impressed by the multiple representation approach your students have become accustomed to using. This is phenomenal! Using the power of Excel (particularly its graph capability) in a math class is well-known to some educators and fairly unknown to others.<BR/><BR/>My thoughts about proof at this level are that just as adolescents show extreme variations in physical characteristics in that age group, there is also a wide variation in their mathematical maturity. Some middle schoolers I've worked with (7th graders) are ready for proof and can even do them on their own after seeing a few models. For awhile I listened to 'experts' explain that a formal geometry course is inappropriate for a middle schooler because of immature brain development, meaning they are just not ready to handle the conceptualizations. Perhaps not many, but some can, and I'm not just referring to a few mathematical geniuses out there. I'll bet if you showed your students your proof and explained the main ideas, some would be able to follow and a few, if they could handle the algebra skill part, could do a similar one on their own. Hey, you never know until you try and I know that you are not afraid to take risks.<BR/><BR/>Using my problems/investigations with your students make writing these worthwhile. Thank you and let me know how it goes with that portfolio assignment. <BR/><BR/>Dave Marain<BR/>MathNotationsDave Marainhttps://www.blogger.com/profile/13321770881353644307noreply@blogger.com