tag:blogger.com,1999:blog-15868947.post8639797329213874768..comments2023-10-29T06:41:23.910-07:00Comments on Halfway There: All for noneZenohttp://www.blogger.com/profile/09058127284297728552noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-15868947.post-88348932624458247602010-10-22T18:03:03.672-07:002010-10-22T18:03:03.672-07:00nikkolas and ginx:
we're so confused... what ...nikkolas and ginx:<br /><br />we're so confused... what does this have to do with out nonsensical blogs?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-15868947.post-76549157505989766922010-10-22T17:57:11.130-07:002010-10-22T17:57:11.130-07:00BTW, did you know that the group Z2 × Z2 is isomor...BTW, did you know that the group Z2 × Z2 is isomorphic -- if that's the correct term; it's been so long I've forgotten -- to the inversion, retrograde and retrograde inversion of a melody (including 12-tone tone-rows)? I wrote a paper on the topic for a Math Ed course.Kathiehttp://www.inolongerlikechocolates.comnoreply@blogger.comtag:blogger.com,1999:blog-15868947.post-35793635027369114452010-10-21T13:04:06.332-07:002010-10-21T13:04:06.332-07:00First sentence should begin, "I've been t...First sentence should begin, "I've been trying to restrain MYSELF from writing a whole blog post..."<br /><br />Also, "a couple of other fairly bright STUDENTS (undergrads)..."<br /><br />Ironically, I'm noted for my killer proofreading when it comes to other people's writing, but when it comes to posting on people's blogs, I'm sometimes in too much of a hurry :-)Kathiehttp://www.mycalifornianfriends.comnoreply@blogger.comtag:blogger.com,1999:blog-15868947.post-45623503824696159992010-10-21T12:53:43.242-07:002010-10-21T12:53:43.242-07:00I've been trying to restrain from writing a wh...I've been trying to restrain from writing a whole blog post myself on this topic, but will limit myself to a junior-level math course I took while getting my Master's in Math Ed, which I think was called something like Number Systems. The professor started us off with a simplified set of Peano's axioms (from declaring the existence of 1 to induction); by the end of the semester we had worked our way up to imaginary numbers.<br /><br />The first part of most class hours was professor lecture, then we split into our assigned groups of 4-5 students to work on proving the class's latest theorem. Luckily there were a couple of other fairly bright undergrads in my group, so I didn't have to do all the heavy lifting myself. Also, since I'd already taught school (and had pedagogy coursework while get my teaching credential in California), I knew how to ask "higher-level" questions that probed for understanding, which helped the process along.<br /><br />P.S. Zeno, I just discovered your email in my spam filter (I keep it set on high, which has the unfortunate side-effect of occasionally screening out emails I actually want). Anyhow, I've approved your email address and forwarded your message to my inbox, where I'll reply at length (oh, no!) when I get a chance. It was good to hear from you so promptly, and I apologize for not checking my spam filter more often or replying sooner.Kathiehttp://www.inolongerlikechocolates.comnoreply@blogger.comtag:blogger.com,1999:blog-15868947.post-17567815967567883632010-10-18T06:59:00.023-07:002010-10-18T06:59:00.023-07:00I really appreciate these discussion of "how ...I really appreciate these discussion of "how to teach".<br /><br />I recognise a lot of your ideas from my class on didactics (which I didn't pass ... didn't even hand in the report ...).<br /><br />Thank you. I hope a bit of your talent rubs off.Jens Knudsen (Sili)https://www.blogger.com/profile/14078875730565068352noreply@blogger.com