tag:blogger.com,1999:blog-2036014053389751696.post5029131606618500117..comments2024-08-07T08:29:41.242+01:00Comments on Colin Foster's Mathematics Education Blog: Always simplify your answerColin Fosterhttp://www.blogger.com/profile/12463017049484632672noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-2036014053389751696.post-39727528810209948802022-10-23T08:03:03.317+01:002022-10-23T08:03:03.317+01:00With coordinate geometry, a lot of students want t...With coordinate geometry, a lot of students want to change gradients which are improper fractions to mixed numbers (to ‘simplify’), but it’s better to be able to see ‘rise’ and ‘run’, also when rearranging, it’s usually better to have y=-2x+4 than y=4-2x, or even y=2(2-x). The word simplify is indeed a tricky one! Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2036014053389751696.post-83514191047822220482022-09-16T20:39:31.358+01:002022-09-16T20:39:31.358+01:00Good stuff here. I teach my students two things a...Good stuff here. I teach my students two things about simplification. Mid-calculation, simplification is about making the next step as simple as possible, so think about what the next step will be before deciding what simplifications to make, beyond the incontestable ones. At the end of an answer, what counts as simplest is an aesthetic judgement, not a mathematical one, and people will differ. So don't worry about it, but present the answer the way you like it.Anonymousnoreply@blogger.com