That seems to dovetail with my 'ancient' middle school teaching experiences. However, there has been talk since then of pushing Algebra 1 down into middle school and I know that in some places Algebra and Geometry are, insofar as textbooks are concerned, somewhat integrated. Thus I was wondering.
On Jan 18, 2013, at 2:50 PM, email@example.com wrote:
> Sorry for the double link to the 2010 Virginia Standards of Learning (SOL) > 8th Grade Mathematics Test. > > The first one does not work. > > The second one does. > > All The Best, > > Dennis > > > In a message dated 1/18/2013 2:39:04 P.M. Eastern Standard Time, > firstname.lastname@example.org writes: > > > > > Hello Ed, > > My reason for assessing the sample problems as "advanced" is that their > level of difficulty and prerequisite knowledge for solving them are far > beyond the standards for any middle school math curriculum I have ever > worked > with in the state of Virginia since my retirement in 2005. > > In the state of Virginia, students who,are enrolled in middle school are > usually enrolled in Grades 6,7, and 8. Students usually begin high school > in Grade 9. > > In Virginia, the "average" student takes Algebra 1 in the 9th grade, > Geometry in the 10th grade, and Algebra 2 in the 11th grade. Above average > students usually take Algebra 1 in the 8th grade (the last year of middle > school), Geometry in the 9th grade, and Algebra 2 in the 10th grade. > > A small minority of highly advanced students can take Algebra 1 in the 7th > grade, Geometry in the 8th grade, and Algebra 2 in the 9th grade. At the > middle school where I taught before I retired in 2005, however, Algebra 1 > was not yet available for 7th grade students. > > In the set of problems presented, problem #42 involves the hyperbola, > which > is not taught in the state of Virginia until Algebra 2, which most > students take in either the 10th or the 11th grade in high school. Having > tutored > students privately for the past several years, I have not seen the > hyperbola presented in any math course curriculum until Algebra 2 is taken. > > Problem #41 involves the construction of a circle within given parameters, > which is a topic covered in Geometry. Most students take Geometry in > either the 9th or 10th grade in high school. Only a small minority of > students > take Geometry in 8th grade, which is the last year of middle school in the > state of Virginia. Problem #39 involves the Triangle Inequality Theorem, > which is also not covered until Geometry. > > The following is a link to a pdf copy of the 2010 Virginia Standards of > Learning (SOL) Test for 8th Grade Mathematics: > > __http://www.doe.virginia.gov/testing/sol/released_tests/2010/test10_math8.p > d_ > (http://www.doe.virginia.gov/testing/sol/released_tests/2010/test10_math8.pd) > f_ > (_http://www.doe.virginia.gov/testing/sol/released_tests/2010/test10_math8.p > df_ > (http://www.doe.virginia.gov/testing/sol/released_tests/2010/test10_math8.pdf) ) > > If this link opens, you will see a fair representation of the level of > problems which are taught in the 8th grade, which is the last year of > middle > school in the state of Virginia. > > Speaking from the trenches, and based upon my nearly 30 years of teaching > and tutoring combined, for whatever it may be worth, the sampling of > problems presented in the "Five Triangles" blog website more closely > resemble > advanced problems on the high school level than on the middle school level. > > Best Wishes, > > Dennis > > > In a message dated 1/18/2013 12:21:42 P.M. Eastern Standard Time, > email@example.com_ (mailto:firstname.lastname@example.org) writes: > > > > > Dennis > > While I haven't taught middle school since 1995, some of these problems > seem to call on knowledge which isn't in the repertoire of the average 8th > grader and, in some cases, the average 9th grader. I'd be interested in > what > others, currently involved in middle school mathematics teaching, think. > Putting all that aside, these problems do seem accessible to a student who > is versed in Algebra I and Geometry, so I'm wondering why you think them > for advanced students (I don't say they aren't, by the way). Some of these > problems do require some careful thinking and, perhaps, even more > importantly an investment of solution time. Is this what you are pointing > at? > I looked through the archives, by the way. The quality of problems vary as > to difficulty and - this is a personal judgement - appeal. I wish I had > known about it before as I teach course for teachers-to-be and some of the > problems are nice. I rather liked the geometric construction in the > original > email as I just spent a semester grumbling about student performance on > such. > > Ed Wall > > On Jan 17, 2013, at 10:36 PM, email@example.com_ > (mailto:firstname.lastname@example.org) _ > (mailto:email@example.com_ (mailto:firstname.lastname@example.org) ) wrote: > >> Yikes! I taught middle school mathematics for 22 years (1983-2005) and I > > >> have never seen any middle school math problems quite this difficult >> before. Are these for advanced middle school aged students? >> >> I now do private tutoring for high school students taking Algebra 1, >> Geometry, and Algebra 2, and these problems appear to be on the advanced > level >> for even these subjects. >> >> Dennis >> >> >> >> In a message dated 1/17/2013 10:23:33 P.M. Eastern Standard Time, >> email@example.com_ (mailto:firstname.lastname@example.org) _ > (mailto:email@example.com_ (mailto:firstname.lastname@example.org) ) writes: >> >> >> >> >> We blog at ___http://fivetriangles.blogspot.com___ > (http://fivetriangles.blogspot.com__/) > (_http://fivetriangles.blogspot.com_/_ > (http://fivetriangles.blogspot.com_/) ) >> (__http://fivetriangles.blogspot.com/__ > (http://fivetriangles.blogspot.com/_) > (_http://fivetriangles.blogspot.com/_ (http://fivetriangles.blogspot.com/) > ) ) with some not-so-commonplace math problems. >> >> >> >> >> >> >> [Non-text portions of this message have been removed] >> >> >> >> ------------------------------------ >> >> Yahoo! Groups Links >> >> >> > > [Non-text portions of this message have been removed] > > > > > > > [Non-text portions of this message have been removed] > > > > ------------------------------------ > > Yahoo! Groups Links > > >