tag:blogger.com,1999:blog-6758601466070271713.post3032718039308275031..comments2015-06-21T06:47:52.889-07:00Comments on Maths Education and all that!: Scaling in Multiplication and Division: more detail.Rebecca Hansonhttp://www.blogger.com/profile/15973235163335279852noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6758601466070271713.post-72681321477021150032011-07-19T11:43:20.756-07:002011-07-19T11:43:20.756-07:00Rather than saying that we have a pretty clear und...Rather than saying that we have a pretty clear understanding of what multiplication is Sue, I see it more as meaning that we have many relevant experiences and structures which could be connected to enhance our understanding (and currently often aren't). <br /><br />With regards to improving students understanding of written calculations.... I think that depends on the student (what methods they already have) and the particular written calculation. A student who has a strong 'repeated addition' understanding of a particular algorithm is unlikely to change their view of that method.<br /><br />But it's always worth adding more strings to your bow to enhance your mental strategies. I think we underestimate the importance of versatility and of having a variety of robust mental structures to support mathematical thinking.<br /><br />Please do probe further if you'd like to.Rebecca Hansonhttp://www.blogger.com/profile/15973235163335279852noreply@blogger.comtag:blogger.com,1999:blog-6758601466070271713.post-18320041461746256462011-07-19T10:24:47.191-07:002011-07-19T10:24:47.191-07:00This part of your post struck me:
>I ask a stu...This part of your post struck me:<br /><br />>I ask a student to close their eyes and make a jump. I tell them that jump is 13 and then demand that they jump 11 without giving them time for complex calculations. I can see that they can perform this task with reasonable accuracy ...<br /><br />If someone can jump 11/13ths of their first jump (without instruction), that means we have a pretty clear understanding of what multiplication of fractions means, before doing it in the math classroom. Did you see exercises like this helping students to understand the math on paper version?Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.com