<p>I “inserted myeslf into a discussion”? ! Excuse me, I thought this was a public forum, and one doesn’t need a special invitation to weigh in on the discussion. I followed very well where the direction of the thread was going, thank you very much, and it was not limited to the spelling errors of a dean, nor to your support of a teacher who couldn’t spell. From there, it evolved to a discussion of elem. teachers in general supposedly needing instruction from a Chinese educator about how to teach something that was presented as fundamental in my own credentialing program. Hence my questions about how supposedly universal this problem is. Sorry, but I think my questions are valid, my concerns germane to issues <em>others</em> brought up, not me, and I didn’t think I needed an invitation to join a discussion. I have something to say about this. This is my field, thank you. And I’ve <em>not</em> “given you a sample of one.” I’m saying that I have not noticed in CA classrooms and among my peers, plural, a failure to present the lessons in a way which corresponds to sound pedagogy. I’m limiting myself to the very grade levels that you were discussing and that <em>you</em> brought up: 3rd/4th grade.</p>
<p>And yes, the thread did and does sound like teacher-bashing. It did not start this way, no, but it once again has devolved into that. And yes, I will continue to wonder about a credentialing program that may not be intellectually sound (if so), or whose graduates are not being assessed closely enough, if the program itself is sound.</p>
<p>On other threads, I have supported, and will continue to support, the borrowing of any pedagogy from any country that promises to address deficiencies in American approaches to any subject in which our students are quite evidently underperforming those of overseas. I just think that the grade levels & examples spoken of in this thread do not speak to the modern credentialing programs I’m aware of. A reliance or even an emphasis on a procedural approach to mathematics is not something that has been current for the last 30 years in this country, at least on the elementary level. Middle school & above, I think we have discussed on different threads how the continuity is lacking, in the curriculum AND in the pedagogy, too often.</p>
<p>Moving right along…</p>
<p>Conyat, I’m glad you brought this up: the problem of the bright & conceptual mathematician-as-teacher is one that has plagued education for quite some time, and certainly was true in my day as well (as a student). Sometimes a math teacher with a very abstract inclination has trouble explaining himself (him usually) even to peers, let alone to young people. And I think that’s another important issue, btw, in the under-supply of math teachers on the middle & high school levels. A great mathematician is not necessarily a great teacher. As referred to already, some of that is training, but some of that can equally be temperament & preference. (And that’s aside from the salary issues.)</p>
<p>The job is the activity, and the activity is primarily teaching, not primarily doing math with peers, writing about math to peers, or thinking about math by oneself.</p>