Welcome to New York City HOLD National

Honest Open Logical Decisions on Mathematics Education Reform

Today's flagship web site for the mathematics education advocacy community

We are a national nonpartisan advocacy organization that provides parents, K-12 educators, mathematicians and scientists, and others information resources and networking opportunities to support systemic improvements in the quality of mathematics education in our nation's schools.

Please see also the NYC HOLD News Page, the Letters and Testimony Page, and note our Site Outline


Contact Us

Contact Information: Elizabeth Carson, Co-Founder and Executive Director, NYC HOLD. Email: nycholdnational@gmail.com

We welcome questions, comments, news, information and research on K-12 mathematics education reform and advocacy. Tell us your story! Share what's working and what's not in K-12 mathematics education in your school / district / state. Share news about individual and group advocacy efforts to improve mathematics education in your area.

Join Our National Mailing List

Email: nycholdnational@gmail.com
You will receive occasional NYC HOLD e-notices with news, information, announcements and Web site updates.

NYC HOLD National Call to Action

Letters Campaign. Please CC letters to nycholdnational@gmail.com. Most recent: Letters from NYC HOLD Call to Action, December, 2007.

General. Concerned parents, teachers, administrators, college and university faculty and citizens at large: Share your knowledge, experiences, views, values and standards for mathematics education and reform in our nation's schools with your peers, colleagues, in your community, and with education officials, government officials and the press.

Our Mission

The performance of American students in mathematics is mediocre at best. Reform efforts over the past two decades have only made matters worse. We are advocates for school mathematics education reforms that support the mathematics interests and abilities of all students. We advocate programs and policies that help all students achieve success in school mathematics courses, that prepare all students for the broadest options in high school math and science courses, and that give them the opportunity to advance into mathematics based college courses and careers.

NYC HOLD National (Honest Open Logical Decisions on Mathematics Education Reform) is a nonpartisan advocacy organization that provides parents, K-12 educators, mathematicians, scientists and other concerned citizens information, resources and networking opportunities to support systemic improvements in the quality of mathematics education in our nation's schools. NYC HOLD was first established in order to address mathematics education in the New York City schools. It is now a national organization.

Who We Are

NYC HOLD National includes parents, mathematicians, K-12 educators and others. We have a Founding Committee and National Advisors.

Site authors: General editing: Bas Braams, Elizabeth Carson, NYC HOLD. Section Editors as noted.

Site Search



Related Organizations and Campaigns

Links to National and Local Campaigns. Give your support to local campaigns in your state. Start a new one for your community.

Special Advice for Parents

Advice for Parents. A parent's first responsibility is to the education of his or her children [more]. Parents can educate themselves, their school, and their community. They can request or demand better programs from school officials, and copy those requests to government officials and the press [more].

What's New at Our Site?

Recent entries, mainly on this page, on the NYC HOLD News Page, and on the Letters and Testimony Page. A full listing back to 2002 is here.

More "What's New?".

(Back to Top of Page, to the NYC HOLD News page, or to the NYC HOLD Letters and Testimony Page)


Top Issues, Fall 2002 - Present

Math and Reading, Delivery on the Promise of Mayoral Control, a Forum at the Courant Institute of Mathematical Sciences, New York University, October 2, 2005. Announcement and agenda and a Flyer for the event.

Our refutation of some "NCTM" (fuzzy) myths about mathematics education. Ten Myths About Math Education And Why You Shouldn't Believe Them, by Karen Budd, Elizabeth Carson, Barry Garelick, David Klein, R. James Milgram, Ralph A. Raimi, Martha Schwartz, Sandra Stotsky, Vern Williams, and W. Stephen Wilson. May 4, 2005.

Hedrick Smith / PBS "Schools That Work" Documentary. See: San Diego and NYC "Schools That Work" No Model for Reform, by Carolyn Prager, Mathematics Learning, San Diego Segment, PBS Documentary "Schools That Work", by William R. Hook, PBS Documentary "Schools That Work" and TERC Investigations Mathematics, by Stanley Ocken, PBS Documentary "Schools That Work" and Manhattan District 2, by Betsy Scherl, Successful District 2 in NYC?, by Ralph A. Raimi, Hedrick Smith "Schools That Work" and Manhattan District 2, by Betsy Combier, and PBS Documentary "Schools That Work" and College Mathematics, by W. Stephen Wilson.

Diana Lam's ignominious exit. For news reports about Diana Lam's forced resignation for conflict of interest violations please see the New York City News section on our News page and look for articles around March 9, 2004. A primary document is the Conflict of Interest Report to Chancellor Joel Klein About Diana Lam by NYC Schools Special Commissioner of Investigation Richard J. Condon, March 5, 2004.

School Mathematics Education Hearing of NYC Council Education Committee (Eva Moskowitz, Chair), November 5, 2003. Several steering committee members and friends and associates of NYC HOLD testified: Testimony of Elizabeth Carson # Testimony of Bas Braams # Testimony of Betsy Combier # Testimony of Edmond David # letter from Arthur P. Goldberg # Testimony of Jonathan Goodman # Testimony of Stanley Ocken # letter from Maryann Stimmer (MSWord) # Letter from Mary van Valkenburg. From the committee comes a Transcript, Briefing Paper, Press Release, and Witness List for the Hearing (all MS Word). NYC HOLD offered its own press release for the hearing. Press reports: Angry Divide, by Carl Campanile, the New York Post, Nov 6, 2003; New Math Gets Minus at Hearing, New York Newsday, Nov 6, 2003; New Curriculum Feeds A Math Crisis, Experts Testify, New York Sun, Nov 6, 2003; Parents, educators voice their disapproval of the city's new math system, News 12 The Bronx, Nov 5, 2003; City's Math Debate Moves to Forefront, New York Sun, Nov 4, 2003.

About NYC's mandated K-5 mathematics program: Please note our Reviews of Everyday Mathematics (with thanks to Mathematically Correct). See also How Not to Teach Math, New York's chancellor Klein's plan doesn't compute by Matthew Clavel; and see Joel Klein's Math Problems (op-ed in the NY Sun), Spiraling Through UCSMP Everyday Mathematics, and The Many Ways of Arithmetic in UCSMP Everyday Mathematics, by Bas Braams.

The NYC Children First Initiative: Please note New York's New Approach, by James Traub in the NYT Education Life supplement, and also two articles by Sol Stern in City Journal, Bloomberg and Klein Rush In, and Gotham's Education Reform Is in Trouble. Through Freedom Of Information Law requests we have learned that the Children First working groups operated without formal charge and that the literacy, numeracy, and special populations working groups did not produce reports. We find it remarkable that Chancellor Klein would select a uniform mandated curriculum in such a cavalier manner. For ongoing reviews and commentary, see Chancellor Joel I. Klein's "Children First" New Standard Curriculum for NYC Public Schools. Earlier New York City HOLD contributions to the Children First process include:

(Back to Top of Page, to the NYC HOLD News page, or to the NYC HOLD Letters and Testimony Page)


Site Outline

The headings in this Site Outline are all clickable, and are links to the named main sections of the page. At the end of each main section will be found clickable text to bring you back to the top of the page or to this Site Outline; or to the NYC HOLD News Page or the NYC HOLD Letters and Testimony Page. Of course, many readers will find it convenient just to use the space bar and the delete or backspace key to scroll the page.

New York City HOLD

Contact Us

Our Mission

Who Are We?

What's New at Our Site?

Top Issues, Fall 2002 - Present

Introduction

Links to a few articles that describe the rise of "reform" mathematics instruction since about 1989 and the ensuing conflict often called "the Math Wars".

Issues in Mathematics Education

Subsections: A Mathematical Manifesto # Why Algorithms Matter # Why Facts Matter # When Are Calculators Appropriate? # Why Algebra Matters # Why Geometry Matters # What Mathematics do Students Need in college? # Mathematics-Based Careers # Equity and Access # Conservative or Progressive? # What Says the Research? # International Comparisons

Articles of Note

Subsections: Math and Science Curriculum # Education Philosophy # Standards and Assessment # Education Research # Cognitive Science # Equity in Education # Education Policy # Teacher Issues # Book Reviews.

Curriculum Reviews

Subsections: General # NCTM Standards-based Programs # Rigorous College Preparatory Programs

Standards and Assessments

Subsections: NYC Standards and Assessments # NCEE/ACPS Standards # NYS Standards and Assessments # The NCTM Standards # Exemplary Standards # Reviews of Standards.

Who Funds 'Reform' Math?

Subsections: Federal Funding # Foundation funding # Industrial funding # NYC Grants and Contracts.

Advice for Parents

Subsections: What's a Parent to Do? # Links # Frequently Asked Questions # Bulletin Board.

National and Local Organizations and Campaigns

Subsections: National Organizations # Local Organizations and Campaigns # Organizations in Other Countries # Personal Pages # Other Organizations and Resources.

Conferences, Talks, Videos

Short Takes

NYC News and Opinion; NYS News and Opinion; National News and Opinion

These three Sections have been reorganized into an NYC HOLD News Page and an NYC HOLD Letters and Testimony Page.

New York City Issues

Subsections: DOE Children First Initiative # City Council Committee on Education # DOE Panel for Educational Policy # Other City Wide # Region 9 (was Districts 1, 2, 4 and 7) # District 10 and The Bronx.

New York State Issues

Subsections: NYS K-12 Standards # NYS Regents and K-8 Assessments.

NYC and NYS Education Pages

Subsections: NYC Dept. of Education # NYS Dept. of Education.

Call to Action

Subsections: General # NYC and NYS Education Policy Makers # NYC and NYS Goverment Officials # The Press.

NYC HOLD Activities

Subsections: June 2001 Math Forum


Introduction

(Section Editor: NYC HOLD)

Ten Myths About Math Education And Why You Shouldn't Believe Them, by Karen Budd, Elizabeth Carson, Barry Garelick, David Klein, R. James Milgram, Ralph A. Raimi, Martha Schwartz, Sandra Stotsky, Vern Williams, and W. Stephen Wilson (May 4, 2005). "... our point by point refutation of a set of common myths propagated by mathematics educators in our schools of education and NCTM officials that are often presented as fact to policy makers and the general public"... [more]

An A-Maze-ing Approach To Math, by Barry Garelick, Education Next, Spring 2005. Focusses on the NCTM philosophy and Standards and the role of the National Science Foundation in promoting same. "... our children [are] being deprived of a math education, thanks in no small part to a dubious education theory, watered-down standards, and a well-meaning but intellectually bankrupt federally subsidized program of math illiteracy"... [more]

A Brief History of American K-12 Mathematics Education, by David Klein (2001). "Broadly speaking, the education wars of the past century are best understood as a protracted struggle between content and pedagogy. [...] A choice of concentrated content precludes too much student centered, discovery learning... In the same way, the choice of a pedagogy can naturally limit the amount of content that can be presented to students"... [more]. David Klein's home page.

A quarter century of US 'maths wars' and political partisanship, by David Klein, preprint, 2006, to appear in the BSHM Bulletin, the journal of the British Society for the History of Mathematics. About the classical tradition and progressive education. "A distinctive feature of the 1990s and early years of the 21st century was the association of right and left wing political ideologies with competing mathematics education programmes and their advocates"... [more]

A Tale of Two Math Reforms: The Politics of the New Math and the NCTM Standards (Draft, Apr 23, 2000), by Tom Loveless. The paper analyzes the politics of mathematics education reform, comparing the development of the New Math in the 1960's with the NCTM Standards movement in the years after about 1985... [more]

Math Wars: Old vs. New, by Jennifer K. Covino (DA, Oct 2001). Modern day Hatfiels and McCoy: When traditionalists debate constructivists about math education. The author has interviewed prominent figures from NYC HOLD and Mathematically Correct as well as from the constructivist side... [more]

The Math Meltdown, by Staff of the Christian Science Monitor (May 16/23/30, 2000). A three-part series, each part having 5-7 articles. Part 1: In a high-tech era, Americans aren't keeping pace in math; Part 2: Controversial math programs: questions about the approval process; Part 3: What some schools are doing to boost performance... [more]

Math Problems: Why the U.S. Department of Education's recommended math programs don't add up, by David Klein (Apr 2000). In October 1999, the U.S. Department of Education released a report designating 10 math programs as "exemplary" or "promising." David Klein and other mathematicians responded in an open letter that was published in the Washington Post. This article elaborates the objections raised in the open letter... [more]

The Math Wars, by David Ross (2001). Discusses the NCTM-led reform and its opposition. "By advocating mastery of the traditional algorithms, the reformers' opponents have in fact established themselves as the defenders of conceptual thinking in the Math Wars"... [more]

Does Two Plus Two Still Equal Four? What Should Our Children Know about Math? A forum at the American Enterprise Institute on March 4, 2002, addressed these questions. Moderated by Lynne V. Cheney, with participation of Mike McKeown, Gail Burrill, David Klein, Tom Loveless, and Lee V. Stiff... [more]. The forum has been reviewed... [more]... [more]

The Second Great Math Rebellion, by Tom Loveless (1997). "In 1989, a group of experts in the field of math education, under the auspices of the National Council of Teachers of Mathematics, launched a campaign to change the content and teaching of mathematics". Loveless discusses what is wrong with this campaign... [more]

What Is Changing in Math Education?, by Mathematically Correct (Feb 1996). Describes the influence of constructivism, "whole Math", and the push for "integrated content", all working against the idea that component skills in math can be identified and taught, and that these form building blocks for subsequent learning... [more]

Subjects, Mathematics, by The Illinois Loop, ongoing. A large collection of annotated links serving as introduction to the mathematics curriculum wars... [more]

A national math briefer for parents, by Parents for Better Schools in Fairfax County, VA. Their sampler of articles to describe the issues in the mathematics curriculum wars. [more]

(Back to Top of Page, to the Site Outline, to the NYC HOLD News page, or to the NYC HOLD Letters and Testimony Page)


Issues in Mathematics Education

(Section Editor: NYC HOLD)

Subsections

A Mathematical Manifesto
Why Algorithms Matter
Why Facts Matter
When Are Calculators Appropriate?
Why Algebra Matters
Why Geometry Matters
What Mathematics do Students Need in college?
Mathematics-Based Careers
Equity and Access
Conservative or Progressive?
What Says the Research?
International Comparisons

A Mathematical Manifesto

A Mathematical Manifesto, by Ralph A. Raimi for NYC HOLD. Part 1: On Memory. Part 2: On Mathematical Reasoning in School Mathematics. Part 3: On the Algorithms of Arithmetic. Part 4: Elitism and High Stakes Examinations.

Why Algorithms Matter

The Math Wars - 1960's Revisited, by Erica Carle. On NewsWithViews.com, October 13, 2003. (Reproduces a 1960's memo.)

Don't just stand there. Do something! (about school mathematics that is), by Nicholas Pappas (Op-Ed, draft, 2003) (PDF).

On the Algorithms of Arithmetic, by Ralph Raimi (2002).

Algorithms, Algebra, and Access, by Stanley Ocken (Sep 2001).

In Defense of "Mindless Rote", by Ethan Akin (Mar 30, 2001).

Basic Skills Versus Conceptual Understanding: A Bogus Dichotomy in Mathematics Education, by H.-H. Wu (AE, Fall 1999).

The Role of Long Division in the K-12 Curriculum, by David Klein and James Milgram. (PDF format)

Why Facts Matter

Practice Makes Perfect - But Only If You Practice Beyond the Point of Perfection, by Daniel T. Willingham, The American Educator, Spring 2004.

Why Students Think They Understand - When They Don't, by Daniel T. Willingham, American Educator, Winter 2003-2004.

What About Rote Memorization?, by Ralph Raimi.

The Anti-Content Mindset: The Root Cause of The "Math Wars", by Bill Quirk.

The Difference Between Thinking and Knowing. Memorization doesn't deserve its bad name, by Claudia Winkler, The Weekly Standard, May 30, 2002.

When Are Calculators Appropriate?

Computation Skills, Calculators, and Achievement Gaps: An Analysis of NAEP Items, by Tom Loveless, Brown Center for Education working paper, April, 2004.

Should we curb calculator use by younger students?, a debate in the pages of American Teacher.

K-12 Calculator Usage and College Grades, by W. Stephen Wilson and Daniel Q. Naiman, Educational Studies in Mathematics, 2004.

Short response to Tunis's letter to the editor on technology in college, by W. Stephen Wilson, submitted to Educational Studies in Mathematics.

Why Algebra Matters

Electricians Need Algebra, Too, by Richard O. Hill (Mathematics Teacher, Sep 2002).

Algorithms, Algebra, and Access, by Stanley Ocken (Sep 2001).

Why Geometry Matters

A Plea in Defense of Euclidean Geometry, by Barry Simon (Feb, 1998).

What Mathematics do Students Need in college?

Short Response to Tunis's Letter to the Editor on Technology in College, by W. Stephen Wilson, Educational Studies in Mathematics, Vol. 58, issue 3 (Jan 2005).

What Mathematics Must Students Know When They Enter College, Panel remarks at the Association of Independent Maryland Schools by W. Stephen Wilson (Oct 21, 2002). See also Elementary Arithmetic in College, a poll conducted by W. S. Wilson.

Why Students Fail Calculus, by Stanley Ocken (Draft, 2001?).

Goals for high school Instruction in Mathematics, by Jerome Dancis (2000?).

Mathematics-Based Careers

Equity and Access

Elitism and High Stakes Examinations, by Ralph Raimi.

Curriculum Equity in the Classroom, by Manuel P. Berriozabal and Chris Patterson (Dec 2000).

They Have Overcome: High-Poverty, High-Performing Schools in California, by Lance Izumi with K. Gwynne Coburn and Matt Cox (PRI, Sep 2002). (PDF format)

High Achievement in Mathematics: Lessons from Three Los Angeles Elementary Schools, by David Klein (Brookings, Aug 2000). (PDF format)

Big Business, Race, and Gender in Mathematics Reform, by David Klein (1999).

Stand and Deliver Revisited. The untold story behind the famous rise - and shameful fall - of Jaime Escalante, America's master math teacher, by Jerry Jesness (Reason, July 2002).

See also the Equity in Education subsection elsewhere on this page.

Conservative or Progressive?

Why Traditional Education Is More Progressive, by E. D. Hirsch (AE, 1997).

See also the Education Philosophy subsection elsewhere on this page.

What Says the Research?

An Address to the California State Board of Education, by E. D. Hirsch (Apr 10, 1997).

Can There Be "Research in Mathematical Education"?, by Herbert Wilf (1999?).

Review of High Quality Experimental Mathematics Research, by Robert C. Dixon et al. for the California State Board of Education (March 1998).

Mathematics Education Research, by Bas Braams (Apr 2001).

See also the Education Research subsection elsewhere on this page.

International Comparisons

PISA Results and School Mathematics in Finland: strengths, weaknesses and future, by George Malaty, University of Joensuu (2008?).

Understanding and misunderstanding the Third International Mathematics and Science Study: what is at stake and why K-12 education studies matter, by Alan Siegel, Proceedings of the International Congress of Mathematicians (ICM2006), Volume III: Invited Lectures, M. Sanz-Sole, J. Soria, L.L. Varona, and J. Verdera, Ed., pp. 1599--1630 (2006).

What the United States Can Learn from Singapore's World Class Mathematics System, by Alan Ginsburg, Steven Leinwand, Terry Anstrom and Elizabeth Pollock. AIR Report, Jan 2005. (PDF format)

Telling Lessons from the TIMSS Video Tape, by Alan Siegel (2002). A re-examination of the TIMSS videotape Japanese classroom studies. (PDF format.)

Don't Believe It, by Mathematically Correct (Dec 1997). "Reform math" in the U.S. does not mirror what successful countries use.

Math Lessons From Japan, The TIMSS and the Truth, by Wayne Bishop (LA Times, Jan 15, 1997).

A Russian Teacher in America, by Andrei Toom, The American Educator, Fall 1993.

(Back to Top of Page, to the Site Outline, to the NYC HOLD News page, or to the NYC HOLD Letters and Testimony Page)


Articles of Note

(Section Editor: Bas Braams)

Subsections

Math and Science Curriculum
Education Philosophy
Standards and Assessment
Education Research
Cognitive Science
Equity in Education
Education Policy
Teacher Issues
Book Reviews

Math and Science Curriculum

(See also the Introduction earlier on this page.)

How to Strengthen K-12 Mathematics Education in Massachusetts: Implications of the National Mathematics Advisory Panel's Report, by Sandra Stotsky. Pioneer Institute Policy Brief, 2008.

It Works for Me: An Exploration of "Traditional Math", Parts 1, 2, 3, by Barry Garelick, EdNews.Org, Nov. 4, 6 and 7, 2007. "In general, [traditional math] means topics covered in a logical sequence with information presented in a straightforward direct manner, and requiring memorization of key facts. Mastery of key concepts and skills are then built upon. The assertion by those who believe this type of math is a failure is that the teaching and/or textbooks rely entirely on rote memorization and excessive drill with no understanding of the procedures and underlying concepts..." [more, more and more]

The Fuzzy Math Mindset Behind Phil Mickelson ExxonMobil Math, by William G. Quirk, 2007.

A Quality Math Curriculum in Support of Effective Teaching for Elementary Schools, by William Hook, Wayne Bishop and John Hook, Educational Studies in Mathematics, 2007. An analysis of a "Key Standard" elementary school mathematics curriculum, transplanted in 1998 from it's foreign roots in Asia and Europe. The focus of the paper is on the transition from far-below to above average learning performance of the students... [more] (requires subscription; the authors' preprint is here.)

Elementary School Mathematics Priorities, by W. Stephen Wilson, manuscript, 2007. Core mathematical concepts for K-6... [more] (PDF format)

Are Our Students Better Now? by W. Stephen Wilson (Johns Hopkins University). The author gave his fall 2006 Calculus I class the final exam from his fall 1989 class. The scores were significantly lower in 2006... [more] (PDF format)

The Bellevue [WA] Story (Math program built on foundation of sand), by Bill Hook, Jan 22, 2007. (Word format)

World Class Elementary School Math Standards and Textbooks - Serious Doubts about the Bellevue Claims, by Bill Hook, May 2, 2006. (Method for Calculating Bellevue APTP and SAT Performance, technical note, June 1, 2006.) (Word format)

What I Learned in Elementary School, by Ron Aharoni, The American Educator, Fall 2005. A mathematician reports on his experience teaching first grade... [more]

A World-Class Math Curriculum Verified by Outstanding Experimental Research, by William Hook. Presentation to the British Columbia Minister of Education, April 4, 2004, based on [a] and [b]. Argues that BC can have a world class curriculum by learning from TIMSS and from CA... [more] (PDF format).

"Curriculum Makes a Huge Difference" - A Summary of Conclusions from the Trends in International Mathematics Study (TIMSS) with California Data Added, by William Hook. Unpublished report, March 5, 2004... [more] (PDF format).

How Did It Ever Come to This, by Ralph A. Raimi. An expanded version of a talk given at the annual meeting of the National Association of Scholars in New York on 22 May 2004 on the history of the previous "New Math"... [more]

A Study of Core-Plus Students Attending Michigan State University, by Richard O. Hill and Thomas H. Parker (Draft, Dec 2002). From the abstract: A study involving over 3000 Michigan students found that students arriving at Michigan State University from four high schools which began using the Core-Plus Mathematics program placed into, and enrolled in, increasingly lower level courses as the implementation progressed. The grades these students earned in the mathematics courses they took are also below average... [more] (PDF format)

The Curricular Smorgasbord, by Williamson M. Evers and Paul Clopton, in Our Schools and Our Future ...Are We Still at Risk?, edited by Paul E. Peterson, Hoover Institution Press, 2003.

Math in The City: A View from the College Classroom, by Stanley Ocken and Robert Feinerman (EU, Dec 2002). Catherine Fosnot, head of the Math in The City teacher enhancement program rejects categorically "that meaning can be passed on to learners via symbols; that whole concepts can be broken into discrete subskills; that concepts can be taught out of context". The authors rise to the defence of content in K-12 mathematics... [more]

Math Problems: Why the U.S. Department of Education's recommended math programs don't add up, by David Klein (ASBJ, Apr 2000). In October 1999, the U.S. Department of Education released a report designating 10 math programs as "exemplary" or "promising." David Klein and other mathematicians took issue with these designations in an open letter that was published in the Washington Post. This article elaborates their objections... [more]

New Battles in the Math Wars, by Wilfried Schmid (2000). "Math education reformers have a prescription for raising the mathematical knowledge of schoolchildren. Do not teach the standard algorithms of arithmetic, such as long addition and multiplication, they say; let the children find their own methods for adding and multiplying two-digit numbers, and for larger numbers, let them use calculators"... [more]

Reform Mathematics Education: How to "Succeed" Without Really Trying, by Paul Clopton (2000). "Since the 1980's, there have been substantial efforts nation wide to weaken mathematics education in America, and these efforts have largely been successful... It is this effort, curiously known as reform, that is the root cause of what has come to be known as the math wars"... [more]

Testimony of Stan Metzenberg, before the House Science Subcommittee on Basic Research (980723). About the effects of the educational reform movement on science education in the United States. Metzenberg looks at the California Science Standards, the National Science Education Standards, and the AAAS Benchmarks for Science Literacy. In his view the NSES and the Benchmarks have set a standard of achievement for students that is shockingly low, and related NSF funding is helping to create a generation of scientific illiterates... [more]. Also, Follow-Up Questions for Dr. Stan Metzenberg... [more]

The Coming Disaster in Science Education in America, by John Saxon, March, 1993, reposted on EducationNews.Org, Feb 2006.

A Prescient Letter to Frank Quigley Concerning The New Math, by Ralph A. Raimi (1958). Written a few weeks after the inauguration of the School Mathematics Study Group (SMSG), headed by E. G. Begle... [more]. By the same author: Whatever Happened to the New Math? (1995)... [more] and... [more]

News and Views

The Rote Stuff, by Brett Schaeffer (EdW, March 2003). Describes favorable class reception of a three-minute individualized Mathematics test for grade school. The test forms are scored using software that reads handwriting. Ed school outsiders deride the procedure as drill and kill... [more]

Trends in Math Achievement: The Importance of Basic Skills, by Tom Loveless (Feb 6, 2003). A presentation on the occasion of the launch of the Math and Science initiative at the Department of Education. Loveless looks at NAEP outcomes and finds that students are failing in the basics... [more]

The Rationale of Laboratory Exercises In The Teaching Of Science, by Brian D. Rude (1978). "If one believes that the scientific method is not easily learned, that it can be learned only in a laboratory setting, and that failure to understand the scientific method makes it impossible to learn scientific facts and principles, then one is certainly justified in spending considerable time in laboratory work designed to demonstrate the scientific method. I will dispute all three of these ideas. The scientific method is not hard to learn and understand, it is not learned best in a laboratory setting, and an understanding of the scientific method is not essential for the learning of science"... [more]

More readings on math and science curriculum.

Education Philosophy

The Case for Bringing Content into the Language Arts Block and for a Knowledge-Rich Curriculum Core for all Children, by E. D. Hirsch, Jr., The American Educator, Spring 2006.

Progressive Education: One Parent's Journey, by Rob Kremer, Oregon's Future, Winter 2005. The author discovers a disconnect between his job administering a grant project to advance progressive principles in the teaching of math and science and the development of his own children at a school devoted to the same principles... [more] (PDF format)

What the Almost-Initiated Don't Get About the Education Problem in America, by Charles R. Lewis. Editorial, the US Freedom Foundation, December 29, 2003. Addresses five "misconceptions", among them that schools should adjust to their students, and that currently employed standardized tests provide a good measure for progress... [more]. (Part 3 of a series; here Part 2 and Part 1.)

Romancing the Child, by E. D. Hirsch, Jr (2001). About the chasm between progressive, romantic educational ideas and the classical approach to teaching reading and mathematics... [more]. By the same author, Why Traditional Education Is More Progressive (1997)... [more] and other articles... [more]

Progressivism's Hidden Failure, by Louisa C. Spencer (2001). "For the past four years, I have been a volunteer tutor in grades 1-4 of a K-5 public elementary school in New York City's Community School District 2"... [more]

Standardization's Stifling Impact, by Lois Weiner (EdWeek, 010228). NYC's District 2 has developed a "standards-based instructional delivery system" based on constructivist materials and pedagogy that all schools are forced to accept. Ms. Weiner, a District 2 parent, describes the impact... [more]

When Progressiveness leads to Backwardness, by Amity Schlaes (Hoover Digest, from FT, Oct 23, 2000). About the Summerhill culture in Britain and the United States. "The staggering number of undereducated teenagers graduating from U.S. high schools every year is a national tragedy - and an object lesson in the damage that misguided educational fads can wreak"... [more]

Whole Language Lives On, by Louisa Cook Moats (2000). "What's going on in many places in the name of `balance' or `consensus' is that the worst practices of whole language are persisting, continuing to inflict boundless harm on young children who need to learn to read. How and why that is happening-and how and why such practices are misguided and harmful-are what this report is about"... [more]

The New, Flexible Math Meets Parental Rebellion, by Anemona Hartocollis (NYT, Apr 27, 2000). "Parents chafing at constructivist math tell stories of their children coming home confused and dispirited by lessons in which getting the right answer to problems is devalued in favor of strategies that are often primitive, cumbersome and indirect. Used by inexperienced teachers who are weak in math, they say, the curriculum can be murky. And tutoring services say that they are seeing an epidemic of children coming to them for basic math instruction"... [more]

A New Mission for NCTM: Save Our Schools, by Frank B. Allen (2000). The author, past President of the NCTM, offers ten statements that this organization should endorse in order to deserve again to be called the National Council of TEACHERS of Mathematics... [more]. By the same author: Mathematics "Council" Loses Hard-Earned Credibility, (1998?)... [more]

Constructivism in Education Sophistry for a New Age, by Martin A. Kozloff, May, 1998. "Constructivist 'theory' is a mishmash of overlapping platitudes and absurdities - 'empty words and poetic metaphors' (Aristotle, Metaphysics). Taken separately, constructivist 'propositions' are merely simpleminded. Taken together, they are indistinguishable from the verbal behavior of a person suffering from chronic schizophrenia."... more. See also Martin Kozloff's List of recent papers.

The Computer Delusion, by Todd Oppenheimer (1997). "There is no good evidence that most uses of computers significantly improve teaching and learning, yet school districts are cutting programs - music, art, physical education - that enrich children's lives to make room for this dubious nostrum"... [more]

A Failure to Produce Better Students, by Senator Robert Byrd, June 9, 1997. Multicultural mathematics noted on the Senate floor... [more]

Nurturing the Life of Mind, by Kathleen Vail (ASBJ, Jan 2001). "The idea that children must be entertained and feel good while they learn has been embraced by many well-meaning educators. In many classrooms, as a result, students are watching movies, working on multimedia presentations, surfing the Internet, putting on plays, and dissecting popular song lyrics. The idea is to motivate students, but the emphasis on enjoyment as a facile substitute for engagement creates a culture in which students are not likely to challenge themselves or stretch their abilities"... [more]

Developmentalism: An Obscure but Pervasive Restriction on Educational Improvement, by J. E. Stone (EPAA, Apr 1996). "[Developmentalism's] notable exponents include Jean Jacques Rousseau, John Dewey, and Jean Piaget; and its most recent expressions include `developmentally appropriate practice' and `constructivism.' In the years during which it gained ascendance, developmentalism served as a basis for rejecting harsh and inhumane teaching methods. Today it impedes efforts to hold schools accountable for student academic achievement"... [more]

More readings on education philosophy.

Standards and Assessment

Evaluation of AP Calculus AB and International Baccalaureate Mathematics SL programs, by David Klein, 2007 (link to two pdf reports).

Advanced Placement and International Baccalaureate: Do They Deserve Gold Star Status?, by Sheila Byrd, Lucien Ellington, Paul Gross, Carol Jago, and Sheldon Stern, Fordham Foundation report, November, 2007.

The Standardized Testing Primer, by Richard P. Phelps, Peter Lang Publ., 2007.

The Fall of the Standard-Bearers, by Diane Ravitch, Opinion, The Chronicle of Higher Education, March 10, 2006.

Every State Left Behind, by Diane Ravitch, Op-Ed, The New York Times, Nov 7, 2005.

Kill the Messenger: The War on Standardized Testing, by Richard P. Phelps, Transaction Publ., 2005.

Urban Elementary Schools in California Show Stunning Improvement in SAT-9 Test Scores over Initial Four Year Period of New Math Standards, by Wayne Bishop and William Hook (unpublished report, June 19, 2004). Presents achievement data from four low income and/or minority districts that adopted the 1997 California mathematics standards early and aggressively... [more] (PDF format).

How the NCEE Redefines K-12 Math, by Bill Quirk (2002). An analysis of the NCEE New Standards, also known as America's Choice Performance Standards (ACPS). Includes the NYC modifications. "[N]o mathematician would judge the NCEE math performance standards to be an acceptable guide to the math knowledge that should be acquired in K-12"... [more].

Testimony on the Draft 2004 Mathematics Framework (for NAEP), by John Hoven on behalf of the Center for Education Reform (Sep 24, 2001). Hoven finds that the "hard" 8th grade NAEP problems are at a level similar to Singapore's grade 5... [more] (PDF format). Tom Loveless and Alan Siegel also testified... [more]... [more]

Facing the Hard Facts in Education Reform, by Paul Barton (ETS Policy Information Center Report, July 2001). Discusses some elements of standards-based reform in addition to testing, especially influences outside the school... [more] (PDF)

California Standards and Assessments, by R. James Milgram and Veronica Norris (October 21, 1999). A White Paper in support of the then new California state standards and frameworks... [more]

Why Testing Experts Hate Testing, by Richard P. Phelps (Fordham Report, Jan 1999). "In addition to the alleged harms of 1) test score inflation, 2) curriculum narrowing, 3) emphasis on lower-order thinking, and 4) declining achievement, testing experts add a quartet of other arguments: 5) standardized tests hurt minorities and women, 6) the tests are too costly, 7) other countries don't test nearly as much as the U.S. does, and 8) parents, teachers and students in this country are all opposed to testing. These eight claims are examined in detail and a rebuttal is offered to each. The arguments are found to be irrelevant, misplaced, overly simplistic or untrue"... [more]. By the same author: Test Bashing. A 14-part series... [more]

More readings on standards and assessment.

Education Research

Why Minimal Guidance During Instruction Does Not Work: An Analysis of the Failure of Constructivist, Discovery, Problem-Based, Experiential, and Inquiry-Based Teaching, by Paul A. Kirschner, John Sweller, and Richard E. Clark. Educational Psychologist, 41(2) 75-86, 2006.

Instruction versus exploration in science learning: Recent psychological research calls "discovery learning" into question, by Rachel Adelson, American Psychological Association, Monitor on Psychology, June, 2004.

Understanding and misunderstanding the Third International Mathematics and Science Study: what is at stake and why K-12 education studies matter, by Alan Siegel, Proceedings of the International Congress of Mathematicians (ICM2006), Volume III: Invited Lectures, M. Sanz-Sole, J. Soria, L.L. Varona, and J. Verdera, Ed., pp. 1599--1630 (2006).

Curriculum-based interventions for increasing K-12 math achievement: middle school. A report from the What Works Clearinghouse, Dec 2004.

On Evaluating Curricular Effectiveness: Judging the Quality of K-12 Mathematics Evaluations, NRC Report, National Academies Press, May, 2004. The key conclusion is that evaluations of mathematics curricula to date fall short of the scientific standards necessary to gauge overall effectiveness, and in particular that all the 13 NSF funded mathematics programs lack scientifically validated evaluation studies... [more]

Classroom Research and Cargo Cults, by E. D. Hirsch Jr. (Policy Review, Oct 2002). The author attributes the frequent irrelevance of education research to an a-theoretical tradition, and suggests that general cognitive principles tend to be more dependable than maxims from classroom research. These cognitive principles include: that prior knowledge is a prerequisite to effective learning; that learning is helped by meaningful association; that learning requires a mix of generalization and example; that rehearsal is usually necessary for retention; that automaticity is essential to higher skills; and that implicit instruction of beginners is usually less effective... [more]

Telling Lessons from the TIMSS Video Tape, by Alan Siegel (2002). A re-examination of the TIMSS videotape Japanese classroom studies. (PDF format.)

Construction of District 2's Exemplary Status; When Research and Public Policy Elide, by Lois Weiner (AERA meeting, April 2002). "This study uses high-profile research on District 2 as a case study of how a political context that presents urban schools as unsalvageable has also resulted in research stripped of critique... Comparison of school-wide achievement between District 2 and District 25, Queens, indicates that researchers' description of District 2's model of systemic reform as exemplary is at the very least questionable"... [more] (or here for the *.doc original)

Education Research and Evaluation and Student Achievement: Quality Counts, by G. Reid Lyon. Testimony to the House Committee on Education and the Workforce (May 4, 2000). Historically, education research has not had a significant impact on educational policies and classroom instructional practices. Dr. Lyon testifies that much education research is not of good quality, and that what good research there is is not well transmitted to the classroom. He makes recommendation focussing on research quality and the translation to practice... [more]

Why Education Experts Resist Effective Practices, by Douglas Carnine (2000). "In other professions, such as medicine, scientific research is taken seriously, because it usually brings clarity and progress... Yet so much of what passes for education research serves to confuse at least as much as it clarifies"... [more]

Can there be "research in mathematical education"?, by Herbert S. Wilf (1999?). "We examine a number of papers and books, all of which have been cited, by people who are knowledgeable in the field, as being good examples of `research in mathematics education.' ... [N]o conclusions of any interest follow as a result of any of the `research' that is reported in these works"... [more] (PDF format)

Address to California State Board of Education, by E. D. Hirsch, Jr. (April 10, 1997). CA law requires education policy to be research-based. But, writes Hirsch: "I don't know of a single failed educational policy, ranging from the naturalistic teaching of reading, to the open classroom, to the teaching of abstract set theory in third-grade math that has not been research-based"... [more]

More readings on education research.

Cognitive Science

Should There Be a Three-Strikes Rule Against Pure Discovery Learning? The Case for Guided Methods of Instruction, by Richard E. Mayer, American Psychologist, Vol. 59 (2004) pp. 14-19. "Overall, the constructivist view of learning may be best supported by methods of instruction that involve cognitive activity rather than behavioral activity, instructional guidance rather than pure discovery, and curricular focus rather than unstruc- tured exploration..." [more] (PDF format)

The Equivalence of Learning Paths in Early Science Education: Effects of Direct Instruction and Discovery Learning, by David Klahr and Milena Nigam, Psychological Science, 2004. "We found not only that many more children learned from direct instruction than from discovery learning, but also that when asked to make broader, richer scientific judgements the (many) children who learned about experimental design from direct instruction performed as well as those (few) children who discovered the method on their own"... [more] (PDF format)

The Effects of Cumulative Practice on Mathematics Problem Solving, by Kristen H Mayfield and Philip N Chase, Journal of Applied Behavior Analysis, Vol 35 (2002) pp. 105-123. "The study compared the effects of cumulative practice, simple review practice, and extra practice on problem-solving and application skills. Three groups of college students with poor mathematics skills learned to use five algebra rules under similar training conditions..." [more] (PDF format)

Applications and Misapplications of Cognitive Psychology to Mathematics Education, by John R. Anderson, Lynne M. Reder, and Herbert A. Simon (1995?). A critical look at situated learning and constructivism. "Situated learning commonly advocates practices that lead to overly specific learning outcomes while constructivism advocates very inefficient learning and assessment procedures"... [more]

Ask the Cognitive Scientist, a column by Daniel T. Willingham in the AFT magazine The American Educator. Sample titles: Practice Makes Perfect - But Only If You Practice Beyond the Point of Perfection... [more]; Why Students Think They Understand - When They Don't... [more]; The Privileged Status of Story... [more]; Students Remember...What They Think About... [more]; Allocating Student Study Time, "Massed" versus "Distributed" Practice... [more]

More readings on cognitive science.

Equity in Education

They Have Overcome: High-Poverty, High-Performing Schools in California, by Lance Izumi with K. Gwynne Coburn and Matt Cox (PRI, Sep 2002). In the footsteps of the Heritage Foundation's "No Excuses" reports the Pacific Research Institute looks at eight high performing high poverty public elementary schools in California (four of them in Inglewood) and asks why they succeed. Components include scripted, phonics based reading instruction; strong academic content standards; teacher centered instruction; frequent assessment; and discipline... [more] (PDF format)

High Achievement in Mathematics: Lessons from Three Los Angeles Elementary Schools, by David Klein (Brookings, Aug 2000). The paper describes characteristics and academic policies of three low income schools (Bennett-Kew, Kelso, and Robert Hill Lane) whose students are unusually successful in mathematics. Klein identifies as fundamental ingredients: California's clear set of high quality grade by grade standards; textbooks and curricula aligned to the standards; sufficiently high teacher knowledge of mathematics to teach to the standards... [more] (PDF format)

The War Against Boys, by Christina Hoff Sommers (Atlantic Monthly, May 2000). "This we think we know: American schools favor boys and grind down girls. The truth is the very opposite. By virtually every measure, girls are thriving in school; it is boys who are the second sex." In four parts. Part 1 offers some educational statistics... [more]. Part 2 discusses the work of Carol Gilligan... [more]. Part 3 concerns the politics of the AAUW... [more]. Part 4 looks at the family environment... [more]. See also the ensuing letters and Sommers's reply... [more]

No Excuses: Lessons from 21 High-Performing, High-Poverty Schools, by Samual Casey Carter (The Heritage Foundation, 2000). The report's condensed list of "best practices" deals with parental accountability; the hiring of teachers; regular standardized testing; focus on reading and mathematics; and good spending practices... [more] (PDF format)

No Excuses: Seven Principals of Low-Income Schools Who Set the Standard for High Achievement, by Samual Casey Carter (The Heritage Foundation, 1999). The Heritage's 1999 award of the Salvatori Prize for American Citizenship went to principals Irwin Kurz (NY), Gregory Hodge (NY), Michael Feinberg (TX), David Levin (NY), Nancy Ichinaga (CA), Helen DeBerry (IL), Ernestine Sanders (MI)... [more] (PDF format)

Curriculum Equity in the Classroom, And Courtroom, by Veronica Norris. Contribution to the Lone Star Foundation conference Public Education Reform in Texas, Dec 7-8, 2000.

How should we group to achieve excellence with equity?, by Bonnie Grossen (Jul 1996). "Ability grouping in America has become a loaded word. In response to inequities of the past associated with ability grouping, an emerging national agenda among nearly all reform constituencies is claiming that ability grouping is bad, it is racist, it must be eliminated." Grossen reviews the issue and argues for excellence with equity... [more]

Education Policy

Recommendations for Reforming the American High School. A Memorandum to the Governors of the Fifty States from the K-12 Committee of the National Association of Scholars. Memo drafted by Sandra Stotsky, R. James Milgram, and Elizabeth Carson.

Uncivil War A Bloodless Account of a Bitter Battle, by Ralph Raimi. A book review of California Dreaming, by Suzanne Wilson, Education Next, Spring 2004. Also an Unabridged version.

National Science Foundation Systemic Initiatives: How a small amount of federal money promotes ill-designed mathematics and science programs in K-12 and undermines local control of education; by Michael McKeown, David Klein, and Chris Patterson. Chapter 13 of What's at Stake in the K-12 Standards Wars - A Primer for Educational Policy Makers, edited by Sandra Stotsky (Peter Lang, New York, 2000). Many states and districts have accepted NSF Systemic Initiatives grants to make "fundamental, comprehensive, and coordinated changes in science, mathematics, and technology education through attendant changes in policy, resource allocation, governance, management, content and conduct." This article shows how it is all for the worse, and explains the dynamics behind acceptance of these grants... [more] (PDF format)

Two Speeches, by Chris Woodhead (ELC, 010929; CPS, 011015). The former UK Chief Inspector of Schools touches on the National Curriculum, the Office for Standards in Education, trends in the A- and O-level examinations; schools choice, accountability, and competition; and the monopoly of anti-education ideas in the education establishment... [more] and... [more] (second article is in PDF format)

Whole Hog for Whole Math, by Lynne V. Cheney (1998). The NSF Education Directorate went Whole Hog fighting the back to basics revision of the CA Standards... [more]. By the same author: Exam Scam - The Latest Education Disaster: Whole Math (WS, Aug 1997)... [more]

A Nation Still At Risk - An Education Manifesto, by Jeanne Allen of the CER, among others (April 30, 1998). Addresses the continuing mediocrity in American education 15 years after the "A Nation at Risk" report. The manifesto calls for a renewal strategy based on standards, assessment, and accountability; and on pluralism, competition, and choice... [more]

More readings on education policy.

Teacher Issues

What is So Difficult About the Preparation of Mathematics Teachers, by H. Wu (preprint, 2002). The author sees a gap between the mathematics that teachers learn in the undergraduate curriculum and what they teach in school. The university does not do enough to help teachers understand the essential characteristics of mathematics: its precision, the ubiquity of logical reasoning, and its coherence as a discipline. The article looks specifically at the teaching of fractions and of school geometry... [more] (PDF format)

Some Lessons from California, by Mary Burmeister and H. Wu (manuscript, Jan 2002). Perspectives on mathematics professional development through content oriented summer institutes for elementary school teachers. The authors are a school teacher and a university mathematician... [more] (PDF format)

Teacher Certification Reconsidered: Stumbling for Quality, by Kate Walsh (Abell Foundation, Oct 2001). The report finds that the academic research attempting to link teacher certification with student achievement is astonishingly deficient: selective in its citations; padded with misrepresented references; giving undue weight to non-reviewed studies; avoiding standardized achievement measures; and routinely violating principles of sound statistical analysis. The core recommendation of the report is to eliminate coursework requirements for teacher certification, in favor of much simpler and more flexible rules for entry... [more]. A critique from the education establishment was followed by a rejoinder by Walsh with Michael Podgursky... [more]

Facing the Classroom Challenge: Teacher Quality and Teacher Training in California's Schools of Education, by Lance T. Izumi with K. Gwynne Coburn (PRI, April 2001). Definitely of interest also outside CA, this report contains a good overview of teaching methods and philosophies. Singapore, Kumon, and Bennett-Kew are presented as models for reform... [more]

More readings on teacher issues.

Book Reviews

Excellence in Peril, by Bill Evers, The Texas Education Review, Winter 2003-2004. Review of "Class Warfare: Besieged Schools, Bewildered Parents, Betrayed Kids and the Attack on Excellence" by J. Martin Rochester (Encounter Books, 2002).

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Curriculum Reviews

(Section Editor: Bas Braams, with much help from NYC HOLD and Mathematically Correct)

Subsections

General
NCTM Standards-based Programs
Rigorous College Preparatory Programs

General

Mathematically Correct maintains its own pages of Program Reviews and Textbook Reviews, and many of our reviews below will link to an MC page or to the same location cited by MC. An overview of a 1998 set of these reviews may be found in this TPPF/ECOT page.

Independent Analysis of Mathematics Textbooks, Joint Research Project of Texas Public Policy Foundation and Education Connection of Texas, January, 1999. Their Summary Report (PDF format) compliments the comprehensive analysis on the Mathematically Correct Textbooks page.

Exemplary? Promising? In October of 1999, the United States Department of Education endorsed ten K-12 mathematics programs by describing them as "exemplary" or "promising." This gave rise to an Open Letter to Richard Riley criticising the educational philosophy and the lack of mathematical content of these programs.

On Evaluating Curricular Effectiveness: Judging the Quality of K-12 Mathematics Evaluations, NRC Report, National Academies Press, May, 2004. The key conclusion of this report is that evaluations of mathematics curricula to date fall short of the scientific standards necessary to gauge overall effectiveness, and in particular that all the 13 NSF funded mathematics programs lack scientifically validated evaluation studies.

Standards-Based School Mathematics Curricula, by Wayne Bishop (Feb 2003). A Review of a book edited by Sharon L. Senk and Denisse R. Thompson.

Emphasis on mastery of computation skills in 3rd grade textbooks submitted for 2007 Texas SBOE approval, A summary chart comparing SRA Real Math (Wright/McG), Saxon Math (Harcourt), enVisionMATH (Scott-Addison), Texas Math (Houghton), Texas HSP Math (Harcourt), Think Math! (Harcourt), Texas Math (Macmillan), and Everyday Math (Wright/McG). By Education Research Analysts, Longview, TX.

NCTM Standards-based Programs

UCSMP Everyday Mathematics

Everyday Math is a K-6 curriculum developed by the University of Chicago School Mathematics Project (UCSMP) and published by Everyday Learning Corporation. It is sometimes called Chicago Math. It has been adopted as the standard curriculum in NYC elementary schools starting, at the discretion of the schools, in fall 2003 or 2004.

NYC HOLD has an annotated collection of Reviews of UCSMP Everyday Mathematics. We rely very much on reviews published at Mathematically Correct and done in connection with CA textbook adoptions. Additional recent contributions include How Not to Teach Math, New York's chancellor Klein's plan doesn't compute, by Matthew Clavel (City Journal, Mar 7, 2003); and Spiraling through UCSMP Everyday Mathematics and The Many Ways of Arithmetic in UCSMP Everyday Mathematics, by Bas Braams.

TERC: Investigations in Number, Data, and Space

In New York City this has probably been, before the Everyday Mathematics mandate, the most prominent of the reform mathematics curricula for K-5. It is developed by TERC Inc., Cambridge, MA, and marketed through Scott Foresman - Addison Wesley.

NYC HOLD has an annotated collection of Reviews of TERC: Investigations. Among the critical reviews linked on that page are TERC Hands-On Math, by Bill Quirk; the Mathematically Correct reviews for second grade TERC and fifth grade TERC; and the Partial List of My Objections to the TERC Investigations Curriculum, by Tom Parker.

Math Trailblazers

Links in progress.

CMP: Connected Mathematics Project

The Connected Mathematics curriculum for grades 6-8 is developed by a team at Michigan State University and is marketed by Prentice Hall.

NYC HOLD has an annotated collection of Links and Reviews of CMP. We point to An Evaluation of CMP by R. James Milgram; to the MC Seventh Grade Mathematics Review of CMP; and to a set of links related to CMP by Betsy Tsang.

CPM: College Preparatory Mathematics

Grades 6-11?

CPM: College Preparatory Mathematics. Details. Reviewed by ...

CPM Content Review
CPM Miscellaneous Links

COMAP/MMOW

COMAP/MMOW, a.k.a ARISE: Etc.

IMP

IMP: Interactive Mathematics Program. We have a collection of reviews of IMP relying heavily on curriculum reviews by mathematically correct.

Core Plus Mathematics Project (CPMP) Contemporary Mathematics in Context

Reviews of Contemporary Mathematics in Context

Glencoe Pre-Algebra

Glencoe's Manual of Fuzz, by Tom VanCourt, The Textbook Letter, May-June 1999. A review of "Glencoe Pre-Algebra, an Integrated Transition to Algebra and Geometry".

Rigorous College Preparatory Programs

The California Department of Education has a careful content-based adoption process for K-8 curricula. Reports may be found through the CDE site for Mathematics Frameworks and Curricular Materials. David Klein at CSU Northridge also has links to Content Review Panel reports on middle school mathematics programs.

Saxon

Grades K-8 approximately.

Saxon Publishers.

Mathematically Correct has a Comparative review of Sadlier, Saxon, and McGraw-Hill K-6 mathematics.

Singapore Primary Mathematics

Grades K-6 Singapore.

Singapore Textbooks.

Sadlier

Grades K-5? The series seems not well known in New York City. Mathematically Correct has a Comparative review of Sadlier, Saxon, and McGraw-Hill K-6 mathematics. We also note a review, Progress in Mathematics research base, done on behalf of the program publisher.

Prentice Hall Algebra

P-H Middle School Algebra

Structure and Method

Published by McDougal-Littell. There is a two-volume middle school component under the title Mathematics: Structure and Method, Course 1 and Course 2, by Dolciani, Sorgenfrey, and Graham; and a high school Algebra component in two volumes: Algebra I by Brown, Dolciani, Sorgenfrey, and Cole, and Algebra II and Trigonometry by Brown, Dolciani, Sorgenfrey, and Kane. Don't confuse it with Concepts and Skills of the same publisher.

The Middle School texts (Course 1 and Course 2) and the Algebra I text of the Structure and Method series were reviewed for the California Textbook adoptions in 2002. There is also a Mathematically Correct review of an earlier (1994) edition of the Algebra I text.

Singapore New Elementary Mathematics

Grades 7-10 Singapore.

Singapore Textbooks.

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Standards and Assessments

(Section Editors: Elizabeth Carson and Bas Braams)

Subsections

NYC Standards and Assessments
NCEE/ACPS Standards
NYS Standards and Assessments
The NCTM Standards
Exemplary Standards
Reviews of Standards

NYC Standards and Assessments

New York City employs its own set of mathematics "Performance Standards", which supplement the New York State standards. The New York City Standards are based upon the America's Choice Performance Standards (ACPS) developed by the National Center for Education and the Economy (NCEE) and previously marketed as the New Standards Performance Standards.

The relevant NYC documents include A Standards Based Scope and Sequence for Learning and The NYC Edition of the New Standards Performance Standards. See also a press release announcing the introduction of these standards.

Math A Curricula and Math B Curricula Prepared by Association of Mathematics Assistant Principals Supervision of NYC.

Commentary on the NYC Mathematics Scope and Sequence, by Fred Greenleaf with Ralph A. Raimi (Dec 2002).

Review by Bill Quirk of NYC K-5. Redefining Elementary School Math in New York City.

NCEE/ACPS Standards

New York City employs a standards document based on the "Performance Standards" developed by the NCEE.

Bill Quirk evaluates the NCEE/ACPS K-12 standards... NCTM Math in the NCEE America's Choice Performance Standards.

NYS Standards and Assessments

For all subjects see the main NYSED Standards page and the main NYSED Assessment page.

For mathematics see also the NYSED Mathematics page. Of special interest: Math, Science and Technology Learning Standards and Student Work, NYS Core Curriculum and Resource Guide, Mathematics Publications (including Regents Math A and B Test Sampler), High School Math A&B Curriculum guide.

New York State Mathematics Core Curriculum MST Standard 3, PreK-12, revised edition, March, 2005. See also Mathematics Toolkit Curriculum Guidance Materials and Resources, March 2005.

Reviews

The June, 2003, New York State Regents Math A exam: We have a Critique of the Regents Mathematics A exam, by Bas Braams. See also the Math A Position Paper for NYS Regents, by the Association of Mathematics Teachers of New York State (AMTNYS) and the Report to the New York State Board of Regents and the New York State Commissioner of Education, from the Independent Panel on Math A (Dr. William Brosnan, chairperson), October 1, 2003.

High Stakes Examinations and Educational Foolishness, by Ralph Raimi, 2004.

Serious Defects in Proposed NYS Standards for School Mathematics, a letter from Herbert A. Hauptman (Nobel Laureate, Chemistry) and others to New York State Schools Chancellor Carl T. Hayden (August 21, 1997).

The New York State mathematics standards were also reviewed, with those of all other States, in Fordham Foundation reports in 1998, 2000, and 2005; see the links under Reviews of Standards below.

The NCTM Standards

Reviews of the NCTM Principles and Standards for School Mathematics. NYC HOLD's introduction and annotated set of links... [more]

Reflections on the NCTM Focal Points by Stanley Ocken, January 2007. "On September 12, 2006, the National Council of Teachers of Mathematics (NCTM) released its Curriculum Focal Points as a supplement to its K-12 curriculum standards written in 1989 and 2000. The new document is an important statement, but addresses with insufficient clarity the issues that made the prior publications controversial and divisive..." [more]

The Truth About the [1989] NCTM Standards and The Truth About the Revised NCTM Standards by Bill Quirk (1997-2002). These two web articles provide a detailed critique of the two editions of the NCTM Standards. About the 2000 PSSM edition the author writes: "Similar to the original NCTM Standards, PSSM is vague about the major components of arithmetic mastery: (1) Memorization of of basic number facts. (2) Mastery of the standard algorithms of multidigit computation. (3) Mastery of fractions"... [more]... [more]

Good Intentions Are Not Enough, by Richard Askey (1999?). A critique of the philosophy of the 1989 NCTM Standards and some textbooks that reflect those standards, especially the CMP Middle School series. According to Askey "The NCTM authors of their Standards had the strange notion that it is possible to teach conceptual understanding without developing technical skill at the same time"... [more] (PDF format)

Computer Technology, the Standards, and Reform, by Richard Escobales, Jr. Letters, Notices of the AMS Vol. 44 No. 5 (1997) (PDF).

Exemplary Standards

Mathematically Correct

The Mathematically Correct Mathematics Standards of Learning were released in 1997 and served as a contribution to the later California standards. Sources include the Japanese Mathematics Standards, the Virginia Standards of Learning, and the Core Knowledge Curriculum.

California

See the California Content Standards and the detailed Curriculum Frameworks. See also 1999 Conference on Standards-Based K-12 Education; see California Standards and Assessments, by R. James Milgram and Veronica Norris (October 21, 1999); see Four Years of California Mathematics Progress, by Wayne Bishop (Sep 1, 2002); and see Uncivil War A Bloodless Account of a Bitter Battle, by Ralph Raimi.

Indiana

Mathematics standards for Kindergarten - Grade 8 and High School. Summary and Scope and Sequence.

Massachusetts

See the Massachusetts Curriculum Frameworks.

Virginia

Standards of Learning for Virginia Public Schools; and Virginia SOL Instruction, Training,and Assessment Resources.

Singapore

Singapore Ministry of Education Syllabuses. Specifically: Sciences; Primary Mathematics; Lower Secondary Mathematics.

Reviews of Standards

Developing Educational Standards, by Charles Hill of the Wappingers (NY) school district. A privately maintained site with a wealth of information about State standards in all subject areas... [more]

My Life With ACHIEVE, by Ralph Raimi, Sep 25, 2005. An account of the author's interaction with the organization. ACHIEVE has carried out reviews of State standards and has also developed its own curriculum expectations... [more

State Mathematics Standards, by Ralph A. Raimi and Lawrence S. Braden (Fordham Report, 1998). The report represents a detailed analysis of all 47 State mathematics standards documents available at the time. Documents are evaluated on Clarity of language, on Content in the curriculum described, on the focus on deductive reasoning, and on absence of the negative qualities dubbed False Doctrine and Inflation... [more]

The State Of State Standards 2000. An update of the 1998 report. It refers to the 1998 report for the statement of criteria and also for reviews of those Standards that had not changed significantly since 1998... [more]

The State of State Math Standards 2005, by David Klein, Bastiaan J. Braams, Thomas Parker, William Quirk, Wilfried Schmid, W. Stephen Wilson, Chester E. Finn, Jr., Justin Torres, Lawrence Braden, and Ralph A. Raimi, The Thomas B. Fordham Foundation, Jan 2005.

Mathematics Standards of the Puerto Rico Department of Education: Analysis and Recommendations, by Philip Pennance, June 2002.

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Who Funds 'Reform' Math?

(Section Editor: Elizabeth Carson)

Subsections

Federal Funding
Foundation funding
Industrial funding
NYC Grants and Contracts

Federal Funding

National Science Foundation Systemic Initiatives: How a small amount of federal money promotes ill-designed mathematics and science programs in K-12 and undermines local control of education; by Michael McKeown, David Klein, and Chris Patterson. Chapter 13 of What's at Stake in the K-12 Standards Wars - A Primer for Educational Policy Makers, edited by Sandra Stotsky (Peter Lang, New York, 2000). Many states and districts have accepted NSF Systemic Initiatives grants to make "fundamental, comprehensive, and coordinated changes in science, mathematics, and technology education through attendant changes in policy, resource allocation, governance, management, content and conduct." This article shows how it is all for the worse, and explains the dynamics behind acceptance of these grants... [more] (PDF format)

School math books, nonsense, and the National Science Foundation, by David Klein, Guest Editorial to be published in the American Journal of Physics, December 2006... [more]

The NSF has provided many grants for the development and dissemination of fuzzy math programs. For example, here is a listing of some of the NSF grants that supported the Connected Mathematics Project (CMP): #9986372 Connected Mathematics Phase II # #9980760 Adapting and Implementing Conceptually-Based Mathematics Instructional Materials for Developmental-Level Students # #9950679 Preparing Elementary Mathematics Teachers for Success: Implementing a Research-Based Mathematics Curricula # #9911849 Teaching Reflectively: Extending and Sustaining Use of Reforms in the Mathematics Classroom # #9714999 Show-Me Project: A National Center for Standards-based Middle School Mathematics Curriculum Dissemination and Implementation #9619033 The Austin Collaborative for Mathematics Education # #9150217 Connected Mathematics Project.

Foundation funding

The Broad foundation provides support for the Children First initiative. The support comes with strings attached: Wary Foundations Tie Grants To Leadership Stability, by Jeff Archer (Education Week, Feb 12, 2003).

Industrial funding

Texas Instruments Announces Sponsorship Commitment to National Council of Teachers of Mathematics (NCTM) for Educator Professional Development, press release, September 20, 2000.

Texas Instruments supports the Dana Center in Texas. The Dana Center hosts the work of the NSF funded Texas State Systemic Initiative which promotes (among other 'reform' initiatives) implementation of NCTM standards-based math programs, foremost among them - Connected Mathematics Project (CMP) (used in CSD2 in Manhattan). The Dana Center partners with COMAP, which developed the 'reform' high school program Mathematics: Modeling Our World (MMOW/ARISE) (also used in CSD2 in Manhattan).

NYC Grants and Contracts

The NSF has promoted constructivist mathematics teaching in New York City through its Systemic Initiatives. (Note a related TI Press Release.) For a review of this NSF program see National Science Foundation Systemic Initiatives: How a small amount of federal money promotes ill-designed mathematics and science programs in K-12 and undermines local control of education, by Michael McKeown, David Klein, and Chris Patterson (2000). See also David Klein's presentation at an AEI forum (March, 2002).

Professional Development from TERC. See Agenda Item #2, Authorization To Enter Into a Boardwide Requirements Agreement With Technical Education Resource Center (TERC) to Provide Professional Development Services in Mathematics.

NSF Grant #0085062: New York City Urban Systemic Program (USP) in Science, Mathematics and Technology Education. [Award Abstract].

NSF Grant #9618821: The Middle School Science Leadership Consortium: A Partnership Between The City College of New York and Community School District #2. [Award Abstract].

NSF Grant 9731424: Reconceptualizing Mathematics Teaching and Learning Through Professional Development (District 2). [Award Abstract].

NSF Grant 9911841: Mathematics in the City: Professional Development Materials on Number and Operation for Teaching and learning. [Award Abstract]. (Involves Districts 2, 3, 4, 5, 6.)

OERI Contract RC-96-137002: High Performance Learning Communities. A collaboration between the Learning Research and Development Center at the University of Pittsburgh, Harvard University, and CSD #2, "to investigate the continuous improvement of District #2, an urban schooling success story, where a commitment to instructional improvement through content-driven reform has had notable results." [Project Home].

1998 Technology Innovation Challenge Grant Awards. [Press Release] and [Project Description].

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Advice for Parents

(Section Editor: Elizabeth Carson)

Subsections

What's a Parent to Do?
Links
Frequently Asked Questions
Bulletin Board

What's a Parent to Do?

A parent's first responsibility is to the education of his or her children. Parents can supplement their child's mathematics education through skills practice workbooks, mathematics textbooks, and tutoring... [more]

Parents can educate themselves, their school, and their community. They can request or demand better programs from school officials, and copy those requests to goverment officials and the press. Parents can join NYC HOLD... [more]

Links

Terminology that Every Parent Must Understand. Excerpted from the Critical Guide to Terms and Phrases, an appendix in the book: The Schools We Need and Why We Don't Have Them by E. D. Hirsch.

Understanding your child's mathematics education, by Paul Clopton (Parent Power, August 2001).

Fighting Fuzzy Math, by Larry Gipson (Talk, 2002; Power Point format).

Practice Problems for the California Mathematics Standards Grades 1-8

Looking At Your Child's Math Program (Parent Power, August 1999).

Kevin Killion of IllinoisLoop.Org offers How To Respond When Your School Announces a New-New Math Program.

Coping With Math Reform, by Gregory Bachelis.

The Delphi Technique. What Is It?, by Lynn Stuter (1996). "...parents come to understand that their role in education reform is merely perfunctory; that the outcome is preset, that they are not but the rah-rah team so when opposition does arise, advocates of education reform can say, `we had community input.' To make sure that the situation is controlled, only those parents who agree with the process are allowed on the restructuring teams. New participants are carefully screened to ensure that education reform goes forward unquestioned."

How To Disrupt It, by Lynn Stuter (1996). "..always be charming, stay focused, and be persistent... Never, under any circumstance, become angry."

Frequently Asked Questions

Bulletin Board

(Back to Top of Page, to the Site Outline, to the NYC HOLD News page, or to the NYC HOLD Letters and Testimony Page)


National and Local Organizations and Campaigns

(Section Editor: NYC HOLD)

National Organizations

Mathematically Correct

Local Organizations and Campaigns

Illinois Loop # Teach Math Right - Stop "Investigating" in Prince William County Schools (MD) # Parents for Evidence Based Education (IA) # Teach Us Math, Parents Concerned With Penfield (NY)'s Math Programs # Where's the Math (WA) # The MathUnderGround (WA) # Math Matters (WA) # Olympia Parent Advocates for Real Math (WA) # Yes2Math, Kitsap Cty (WA) # OPTIMA, Oregon Parents for Thorough Instruction in Mathematics # Georgia Parents for Math # POBMATH.com, Plainview - Old Bethpage (NY) # Petition for the removal of TERC Investigations curriculum from math instruction (NY) # Cecil County (MD) Public School Math # Frederick (MD) Education Reform # Bridgewater-Raritan (NJ) Parents Math Forum # Mathematics - Village of Ridgewood (NJ) # Mindless Math Mutterings (CT) # Dublin (OH) Math Matters # Columbia (MO) Parents for Real Math # Clayton (MO) Math Matters # Plymouth-Canton (MI) Teach Our Kids # Connected Math Disconnected Parents (TX) # Andover (MA) Math Suggestion Box # Newton (MA) Parents for Education # Save Our Children from Mediocre Math (Conejo Valley, CA) # Teach Utah Kids # Norton News Investigations Math Summary (UT) # Kids Do Count (UT) # SAU 16 Info, Exeter (NH) # Informed Residents of Reading (MA) # EdDataFromInnes (KA) # P.A.C.E. (Chippewa Valley, MI) # Broward County (FL) Gifted Advisory Committee # Palo Alto HOLD # Mountain View (CA) Achievement # Plano (TX) Parental Rights Council

Organizations in Other Countries

Society for Quality Education (CA