tag:blogger.com,1999:blog-684256519801046819.post2380734541812495383..comments2016-01-18T08:36:53.182-08:00Comments on Math is Happening Now: One Good Thing: Complex NumbersLaura Hawkinsnoreply@blogger.comBlogger2125tag:blogger.com,1999:blog-684256519801046819.post-56415037333411531242016-01-18T08:36:53.182-08:002016-01-18T08:36:53.182-08:00I love the presentation of the "which of the ...I love the presentation of the "which of the above equations can you solve?" That's great. I teach complex numbers to my algebra 2 kids as a natural extension of quadratic functions and I love introducing concepts as a solution to an unsolvable problem. This works particularly great for parametric equations (in precalc) too. Give them the path of something and ask them about the time at which things occur, and they think you can't answer that. Which, you can't, without a new tool.<br /><br />Also, as to "why are we learning about complex numbers?" One of the things I like about them is the idea of the complex conjugate. That somehow you can get a real number by multiplying two complex numbers. For one, it seems weird, which is always great for instigating discussing. For two, it allows us to go back and talk about the property of closure which I think is such a cool and underrepresented idea in high school math. For three, in calculus they're eventually going to need to analyze tricky limits and rationalizing the numerator/denominator is strikingly similar to multiplying by the complex conjugate, so I like them to have some experience with that.<br /><br />Anyway, thanks for sharing!Jessyhttps://www.blogger.com/profile/14918251168674991976noreply@blogger.comtag:blogger.com,1999:blog-684256519801046819.post-78057892922857684492016-01-16T21:45:13.689-08:002016-01-16T21:45:13.689-08:00Hi Laura!
Check out http://www.mathedpage.org/kin...Hi Laura! <br />Check out http://www.mathedpage.org/kinesthetics/complex.htmlHenri Picciottohttps://www.blogger.com/profile/06875198126877279937noreply@blogger.com