tag:blogger.com,1999:blog-4242439961617529545.post9095738681507334001..comments2018-05-20T07:35:26.490+01:00Comments on Resourceaholic: Algebraic DivisionJoanne Morgannoreply@blogger.comBlogger17125tag:blogger.com,1999:blog-4242439961617529545.post-70998873442325736732017-09-05T08:44:12.385+01:002017-09-05T08:44:12.385+01:00It's used on the continent too. I was taught i...It's used on the continent too. I was taught it by a Belgian student, called the Horner method, I believe. And I like it and also now teach it to students. Also good for remainders.Hilary Mainnoreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-1661965092493167452017-01-16T18:51:49.526+00:002017-01-16T18:51:49.526+00:00Thank you! Very interesting. It's used more wi...Thank you! Very interesting. It's used more widely than I realised.Joanne Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-57488030150591011982017-01-13T11:34:22.872+00:002017-01-13T11:34:22.872+00:00In Argentina we use the synthetic method, it's...In Argentina we use the synthetic method, it's called "Ruffini's rule" and it appears in textbooks as well. Commonly used in Secondary and University.Veihttps://www.blogger.com/profile/11737009530078144973noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-12217421487110062152016-05-28T18:14:27.890+01:002016-05-28T18:14:27.890+01:00I found another method! Grouping! http://www.wikih...I found another method! Grouping! http://www.wikihow.com/Factor-a-Cubic-PolynomialJoanne Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-32909727425248366622016-02-17T12:54:17.297+00:002016-02-17T12:54:17.297+00:00Hi,
I've always taught the long division metho...Hi,<br />I've always taught the long division method because it relate directly to....long division. Trouble is despite teaching this to A level students, they can't actually do Long Division!! However, last year I started teaching the inspection method, with success but one student found the Synthetic method on the Khan Academy web site and students seem to love it. I hate it! I also Mark Wilsonhttps://www.blogger.com/profile/12689623986680967999noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-2671950511191308292016-02-16T11:51:32.953+00:002016-02-16T11:51:32.953+00:00The box method can find remainders as well. If it...The box method can find remainders as well. If it doesn't divide perfectly, you can find the remainder.<br /><br />I love teaching the box method, kids understand it so much easier than long division.Danny Whittakerhttps://www.blogger.com/profile/17137514183104920784noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-52568835131189012912016-02-16T08:20:14.632+00:002016-02-16T08:20:14.632+00:00Enjoyed this post! It's interesting to see the...Enjoyed this post! It's interesting to see the grid/box method, but I don't know if I'd actually use it with students - nearly all that I've taught are perfectly happy with the long division algorithm, and then those that can do "by inspection" just don't bother with the algorithm. <br /><br />The first time I learned long division was dividing polynomials at A LevelMiss Norledgehttps://www.blogger.com/profile/07500803094460295471noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-89768282090369901732015-08-24T19:41:24.714+01:002015-08-24T19:41:24.714+01:00I love 'by inspection'. It feels logical a...I love 'by inspection'. It feels logical and no-fuss (less writing!), and it still works when there's a remainder. 1violalasshttps://www.blogger.com/profile/10577884231709442969noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-35470523272069214202015-06-04T08:33:34.631+01:002015-06-04T08:33:34.631+01:00The box method is great but only works for the fac...The box method is great but only works for the factor theorem. The advantage of synthetic division (and long division) is that it works for the remainder theorem as well.Becky Hallhttps://www.blogger.com/profile/04704811843667742930noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-9390737421996274102015-05-28T18:40:29.064+01:002015-05-28T18:40:29.064+01:00That's interesting, thank you. Unfortunately t...That's interesting, thank you. Unfortunately there are many topics in which students who don't get it are taught a shortcut instead. I'm guilty of it myself sometimes. It achieves one aim (higher test scores) but there's no underlying understanding of mathematics. Here I think teachers should perhaps try the grid method instead of synthetic division.Joanne Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-85685768441688999952015-05-28T15:20:35.779+01:002015-05-28T15:20:35.779+01:00Synthetic division is typically taught in the seco...Synthetic division is typically taught in the second course on algebra (typically called Algebra 2) in US high schools. I usually teach honors, so I ensure my students understand polynomial long division before I show them synthetic division. However, I know there are other teachers that teach synthetic division to those students who simply don't get long division.Kevin Richmeierhttps://www.blogger.com/profile/04616095209242055647noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-61939522505197261522015-05-26T18:05:18.756+01:002015-05-26T18:05:18.756+01:00Yes, I love James Tanton's stuff, it always ge...Yes, I love James Tanton's stuff, it always gets me thinking. His work on mathematical methods is unique and much needed by maths teachers.Joanne Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-64510790383438040852015-05-26T18:03:17.962+01:002015-05-26T18:03:17.962+01:00Thanks Paul. I had no idea it's commonly used ...Thanks Paul. I had no idea it's commonly used in Scotland. I've updated the post to reflect that. It's funny that there are geographical differences in mathematical methods.Joanne Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-71456889546143928182015-05-26T18:02:03.629+01:002015-05-26T18:02:03.629+01:00Nothing beats a logic problem!Nothing beats a logic problem!Joanne Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-43976251070011704652015-05-26T17:49:36.831+01:002015-05-26T17:49:36.831+01:00Great post, Jo. I learned the long division way at...Great post, Jo. I learned the long division way at school but a few years back came across the box method which I much prefer (as do my students). I'd never heard of synthetic division until I came to Canada. Most kids don't like it. I think it is shown because it is 'quick' (whatever that means) but I have managed to avoid it.<br />btw, don't you just love James Tanton's MikeJacobshttps://www.blogger.com/profile/03272175755461671596noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-49368589219062945032015-05-26T17:41:10.877+01:002015-05-26T17:41:10.877+01:00Synthetic division is used in the UK - in the Scot...Synthetic division is used in the UK - in the Scottish Higher papers and textbooks. I, too prefer the box method (which is just formalised inspection), but synthetic division, like long division, can also deal with remainders easily.Paul Smithhttps://www.blogger.com/profile/03381479852310307386noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-42875100007570264342015-05-26T17:13:51.779+01:002015-05-26T17:13:51.779+01:00You are right about it being Suduko like- I don...You are right about it being Suduko like- I don't really know much about polynomial a at all but now I can enjoy dividing them!Clare sealynoreply@blogger.com