tag:blogger.com,1999:blog-6758601466070271713.post791132015227096358..comments2023-10-20T05:37:10.668-07:00Comments on Maths Education and all that!: The yin and yang of maths education - Part 1.Rebecca Hansonhttp://www.blogger.com/profile/15973235163335279852noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-6758601466070271713.post-52311222781535499012011-06-30T15:20:48.528-07:002011-06-30T15:20:48.528-07:00Paradigms not paradims. I wish I could edit comme...Paradigms not paradims. I wish I could edit comments!Rebecca Hansonhttps://www.blogger.com/profile/15973235163335279852noreply@blogger.comtag:blogger.com,1999:blog-6758601466070271713.post-43340743987949933012011-06-30T15:16:49.509-07:002011-06-30T15:16:49.509-07:00(fuller reply sent privately)
Hello Richard,
T...(fuller reply sent privately)<br /><br />Hello Richard, <br /> <br />Thank you so much for getting in touch, it would be lovely to correspond with you directly. I've been contemplating revisiting this topic for a while and indeed you have prompted me to get going.<br /> <br />The challenges of synthesising curriculum based and constructivist approaches to mathematics teaching has been discussed extensively in UK maths education over the years. By the time I became a head of department I had already clearly developed my thinking on synthesising paradims. I will write about the development of my thinking and the practicalities of implementing it in the next sections of this blog. I hope you stay along for the ride and would greatly value your comments. <br /> <br />Could you explain in more detail what you mean by 'mathematical concept inventories?' Testing and individualised tracking and intervention was fundamental to my approach so I may have the kind of data you are looking for. <br /><br />Best regards,<br /> <br />RebeccaRebecca Hansonhttps://www.blogger.com/profile/15973235163335279852noreply@blogger.comtag:blogger.com,1999:blog-6758601466070271713.post-46934202096123200252011-06-25T13:31:15.769-07:002011-06-25T13:31:15.769-07:00Regarding the "ying and yang of maths educati...Regarding the "ying and yang of maths education," you initiated an exchange between the two of us on that subject on my blog "Hake'sEdStuff" at http://bit.ly/jNAI7r .<br /><br />Therein I wrote:<br /><br />"It's possible that it might eventually be shown that, unlike for introductory physics, both "Interactive Engagement" (IE) and "Traditional" (T) methods are required for effective introductory math instruction. <br /><br />But unfortunately [except for Epstein's (2007) work] there's been little, if any, pre/post testing in math courses with mathematics Concept Inventories."<br /><br />Richard Hake<br />Emeritus Professor of Physics, Indiana University<br /><br />P.S. I'm an HTML dummy so you'll have to copy and paste the URL's above and below into your browser window.<br /><br />REFERENCES<br />Epstein, J. 2007. "Development and Validation of the Calculus Concept Inventory," in "Proceedings of the Ninth International Conference on Mathematics Education in a Global Community," 7-12 September, edited by Pugalee, Rogerson, & Schinck; online as a 48 kB pdf at http://bit.ly/bqKSWJ.Richard Hakehttps://www.blogger.com/profile/10753878005211770282noreply@blogger.com