|
|
|
|
This page lists several web resources on K-12 mathematics education. There is a growing dispute over K-12 texts and teaching. For decades, the NCTM(National Council of Teachers of Mathematics) has prescribed the K-12 curriculum. However, beginning with the NCTM's 1989 mathematics standards and continuing with the proposed 2000 standards, many members of the mathematical community (as well as the scientific and technical communities) question the goals and methods prescribed by the NCTM. The dispute has led to a wide-spread debate (or war) between the NCTM standards proponents (variously described as constructivist, reformer, "new new math" or "fuzzy math") and several groups opposed to these standards (usually called "traditionalist" or "parrot math"). Having reviewed two mathematics programs intended to cover grades 6-12 (except calculus) and highly recommended by the NCTM, I find myself opposed to the full (or blind) implementation of NCTM ideas and ideals. Both programs were developed with NSF (National Science Foundation) funding with the advice, guidance and review of the NCTM. Both programs have serious and similar deficiencies for the settings I have seen. There are a number of classroom techniques recommended by the NCTM which may be useful in helping students understand some mathematical topics. Unfortunately, these techniques are used almost exclusively assuring that those students whose needs or learning styles do not fit the NCTM paradigm will not be able to learn math. Neither my students nor I fit that NCTM paradigm. It seems that the superintendents of education of the states of Texas and California have concluded that most, if not all, of the NCTM/NSF sponsored mathematics courses are not approved for use in those states. In California, at least, a school district is allowed to choose freely, so the state level disapproval does not exclude the NCTM sponsored programs. The results are taking care of that. In districts which offer a choice of NCTM course and a "traditionalist" course, very few students sign up for the NCTM course.
Standards: NCTM: http://standards-e.nctm.org/1.0/normal/index.html MAA Report on NCTM proposals AMS - American Mathematical Society: http://www.ams.org/index/ams/nat-policy.html Fordham Foundation review of mathematics standards by state: Developing Educational Standards -- a list of K-12 Standards internet
sites (annotated): 1997 California Standards: http://www.cde.ca.gov/board/mcs_intro.html
Washington State Standards: Washington
Office of Superintendent of Public Instruction http://www.k12.wa.us/ Essential Academic Learning Requirements (EALRs)
This is a 3 year integrated course plus a fourth year for pre-calculus. The 3
year integrated course has four strands: algebra and functions, geometry and
trigonometry, statistics and probability and finite mathematics (largely about networks
and graph theory). My notes on reviewing CPMP materials are on this site's Library page. Washington State -- Selected School Districts: Vancouver School District (Spokane, WA) web page: http://www.vannet.k12.wa.us NSF Sponsored Initiatives:
Other Organizations And Resources: Mathematically Correct: http://www.mathematicallycorrect.com/ HOLD, Palo Alto, CA: http://www.rahul.net/dehnbase/hold Education Program for Gifted Youth -- Stanford: http://www-epgy.stanford.edu/ Swarthmore -- search this mail server for "CPMP"
(note submissions by mackeys@alaska.net, Apr
99): http://forum.swarthmore.edu/ America Counts -- the Glenn Commission: http://www.ed.gov/inits/Math/ National Center for Educational Statistics (NCES): http://nces.ed.gov/pubsearch/
|
|
Send mail to jt@jt-actuary.com with questions or comments about this web site.
|