Distinguishing Fads from Best Practice
Mathematics is characterised by its intolerance of nonsense -- Owen Thomas

Topics on this page
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The Ten Things
What Has Happened to Mathematics Education?
From Mathematically Correct
The Training Wheels A Parable for Modern Times
From Mathematically Correct
Constructivism in Education: Sophistry for a New Age
By Martin A.Kozloff
Constructivist writing typically begins with an intellectually dishonest and shallow critique
of the "instructivist" (Finn & Ravitch, 1996)--sometimes called "behavioral"--approach.

The Pythagorean Theorem, Constructivist pedagogy vs. a traditional deductive approach
From Mathematically Correct

Applications and Misapplications of Cognitive Psychology to Mathematics Education by John R. Anderson Lynne M. Reder Herbert A. Simon. Department of Psychology Carnegie Mellon University
A PROGRAM for RAISING the LEVEL of STUDENT ACHIEVEMENT in SECONDARY SCHOOL MATHEMATICS
Submitted by Professor Frank B. Allen
Advising Member, Mathematically Correct
Professor Emeritus of Mathematics, Elmhurst College
Former President, National Council of Teachers of Mathematics
Former Chair, Division of Natural Sciences and Mathematics, Elmhurst College

A PLAN for IMPROVING the QUALITY and EFFECTIVENESS of EXPOSITION in HIGH SCHOOL MATHEMATICS
Presented by Frank B. Allen
Professor Emeritus, Elmhurst College
National Advisor, Mathematically Correct

Toward a Cease-Fire in the Math Wars
from Mathematically correct

On Method

Starting in 1968, the U.S. government funded a huge study called Project Follow-Through. It cost a billion dollars and ran almost thirty years. The purpose was to examine how different teachng methods or philosophies affected student performance. What they found was that the traditional *Direct instruction* method was the most effective. Are you familiar with this study?
From Notices of the AMS January 1998 *Interview with Gail Burrill*
More on Project Follow Through and Effective School Practices

*Carnegie Mellon Researchers Say Direct Instruction, Rather Than "Discovery Learning" Is Best Way To Teach Process Skills In Science

*Reform vs. Traditional Math Curricula. A preliminary report comparing traditional math curricula with Core-Plus program by Gregory F. Bachelis, Ph.D. Professor of Mathematics, Wayne State University Detroit, Michigan

*Experts Attack Math Teaching Programs, LA Times 11/18/99

*Outcomes Analysis for Core Plus Students: One Year Later, by R. James Milgram, Department of Mathematics Stanford University

*Review of High Quality Experimental Mathematics Research, from National Center to Improve the Tools of Educators

*What the Data Really Show: "Old Fashioned" Teaching Works! by Jeff Lindsay

*How should we group to achieve excellence with equity? By Bonnie Grossen, Ph.D

*Math method not working for some

*Knowledge Transmission vs. Discovery Learning and "Process Skills"

*Math method not working for some by The Press-Enterprise

*High School Staff Characteristics and Mathematics Test Results


Mathematics Standards

California Standards

*California Standards and Assessments, by R. James Milgram and Veronica Norris

More on Standards

*Orange, CA. News from Orange Unified--the Board of Education adopted the new California math standards (and the language standards) by a 7-0 vote July 9th, 1998. There was some discussion about how much money this is going to cost the district but there was no real dissent. Our standards advisory committee is thrilled, but we realized this is only the first step. We are now putting together a comprehensive plan regarding what needs to happen next.

*Ralph A. Raimi and Lawrence S. Braden, The Fordham Report, Vol 2 #3, Rates 46 states, The District of Columbia, and Japan on their Mathematics Standards. The new California Mathematics Standards are rated#1, With Japan in second place

*LAUSD's Refusal to Adopt the California Mathematics Standards, by David Klein

*Mathematically Correct and the Wilson administration have called on the district to incorporate the state's recently implemented traditional math standards into its integrated math curricula instead, and the district should accede to the request." - Los Angeles Times Editorial on LAUSD, A Too-Hasty Math Move

*San Diego adopts Mathematics Content and Performance Standards

*Proposed National Test in Mathematics, recommendations from the American Mathematical Association


NCTM Standards

* The Truth About The Revised NCTM Standards Arithmetic is Still Missing!

*The Truth About The NCTM Standards, by William G. Quirk, Ph.D.

*MAA Task Force on the NCTM Standards 2000 Project

*Frank B Allen on NCTM Standards

*John Saxon on the NCTM Standards

*MATHEMATICS "COUNCIL" LOSES HARD-EARNED CREDIBILITY, By Frank B. Allen Professor of Mathematics Emeritus, Elmhurst College, National Advisor for Mathematically Correct, and former President of NCTM

*First Report from the MAA (The Mathematical Association of America) Task Force on the NCTM Standards January 27, 1997

*Second Report from the MAA (The Mathematical Association of America) Task Force on NCTM Standards June 17, 1997

* The AMS and Mathematics Education: The Revision of the "NCTM Standards", by Roger Howe, Notices of the AMS, Feb 1998. A PDF File. If you need a PDF viewer Free software is available for all platforms

* NCTM blamed for poor student performance by former head, Investor's Business Daily, April 3, 1998

*HOLD Suggestions on NCTM Standards


Government

*A Letter from the Secretary of Education Mathematics Equals Opportunity

The key to understanding mathematics is taking algebra or courses covering algebraic concepts by the end of the 8th grade. Achievement at that stage gives students an important advantage in taking rigorous high school mathematics and science courses. However, many 8th and 9th graders may already be behind in their course selection to get on the road to college. Some students do not have access to rigorous mathematics courses -- either because their school does not offer everyone a full selection of challenging courses, or because not all students are prepared for and encouraged to enroll. The results of the recent Third International Mathematics and Science Study (TIMSS) confirm that many students enter high school without a solid grounding in mathematics, closing doors very early for further education and better careers.

Students, parents and educators should review this important report and understand the significance of a solid foundation in mathematics as a key to college and career success.

Richard W. Riley

*More from the US Department of Education

*U.S. Secretary of Education Richard W. Riley Press Conference on 12th-Grade TIMSS Results February 23, 1998

*Testimony to the United States House of Representatives

*Searching For The Truth About The TIMSS 4th Grade Math Test


The politics of mathematics

*In the beginning. Comments on the Luther Williams Letter

*Repairing school mathematics in the US, by Frank B. Allen

*Mile Wide/Inch Deep Interpretatons

*Texas School Districts Reject "Fuzzy Math" Textbooks -- Major Defeat for Statewide Systemic Initiative

*Freedom to Agree, by David Klein

*The Dumb-Down Train, by Debra J. Saunders San Francisco Chronicle

*1997 battle of the two Standards in the California Math War

*Man of Science Has a Problem With Real Math, by Debra J. Saunders San Francisco Chronicle

*Freedom Rings -- If Only For Bureaucrats, by Debra J. Saunders San Francisco Chronicle

* Few Benefits from Regional Education Labs, National Center for Policy Analysis

*The Bite On Teachers, by Romesh Ratnesar, Time Magazine

*Mr. Educrat: Tear Down That Wall, by Debra J. Saunders, SF Chronicle, July 28, 1998

*What Is an Educrat? by Debra J. Saunders San Francisco Chronicle


Public and private organizations

*Direct Instruction Resources
*Mathematical Association of America
*National Council of Teachers of Mathematics
*TIMSS
*American Mathematical Society
*California State Board of Education
*U.S. Department of Education
*The National Center for Education Statistics
*Mathematically Correct


Text reviews

*Algebra l Text reviews from Mathematically Correct
*Mathematics Program Reviews for Grades 2, 5, and 7. From Mathematically Correct


Know Your Math Fad Jargon

New Math, New New Math, Mickey Mouse Math, Fuzzy Math, Reform Math, Whole Math, Constructivism Math, Complete Math, Balanced Math etc ...... See Glossary of Terms , Terminology/Jargon and more Fad Jargon


Humor

*Outcome-Based Basketball
*The Evolution of Teaching
*Smoothing out the bumps in the *92* Framework
*Outcome cartoon


Books and Links

*Check Mathematically Correct for an extensive list of links