1. Fuzzy Math Sets, Quick Tutorial On Fuzzy Logic And Sets. Fuzzy Logic A type of logic for processing imprecise data founded by LA Zadeh. Fuzzy Sets A type of sets in which elements belong to subsets in some degree. http://www.answermath.com/fuzzymath.htm

MENTAL MATH TUTORIALS Data Mining Neural Networks Fuzzy Logic MENU Home Addition Subtraction Multiplication ... ñol TUTORIALS Data Mining Neural Networks Fuzzy Logic and Sets LABS Fuzzy Logic New Artificial Life Fuzzy Logic: A type of logic for processing imprecise data founded by L. A. Zadeh. Elements may have infinite gradation between TRUE and FALSE. Fuzzy Sets: A type of sets in which elements belong to subsets in some degree. (Certain speed may be 0.75 SLOW and 0.25 MEDIUM). Click for more fuzzy TEST A: Enter a new speed B: Speed = C: What is the fuzzy value of MEDIUM ? D: Answer with Keyboard »» KEYBOARD D: Press Enter and View report REPORT Yours: Ours: Result: Time: Home Site Map Suggest a link Send Comments ... Help

2. Fuzzy Math (Main Page) Paul Krugman. fuzzy math. The Essential Guide to the Bush Tax Plan. Wielding his widely recognized powers of explanation, Paul Krugman lays bare the hidden facts behind the $2 trillion tax cut. http://www.wwnorton.com/catalog/fall01/005062.htm

Paul Krugman Fuzzy Math The Essential Guide to the Bush Tax Plan Wielding his widely recognized powers of explanation, Paul Krugman lays bare the hidden facts behind the $2 trillion tax cut. With huge budget surpluses just ahead, the question of whether to cut taxes has shifted to when? and by how much? With Fuzzy Math , Paul Krugman dissects the Bush tax proposal and shows us who wins, who loses, and how quickly the tax cuts will consume the surplus. Always the equal-opportunity critic when it comes to faulty economics, Krugman also tucks into the Democratic alternatives to the Bush plan. This little book packs a big wallop. Together with major media appearances, it puts Krugman's wisdom and steely-eyed analysis firmly at the center of the debate about how to spend upwards of $2 trillion. It may very well change the course of history. Paul Krugman , who "writes better than any economist since John Maynard Keynes" ( Fortune ), writes the biweekly "Reckonings" column for the New York Times . Winner of the John Bates Clark Medal, Krugman teaches at Princeton University.

3. Fuzzy Math, By Jonathan Rowe Search Newdream.org. Match ALL words. Match ANY word. fuzzy math Cook the Planet, Cook. the Books, Call it Growth. By Jonathan Rowe You are here home publications enough fuzzy math. what http://www.newdream.org/newsletter/fuzzymath.html

Search Newdream.org Match ALL words Match ANY word Fuzzy Math: Cook the Planet, Cook the Books, Call it Growth By Jonathan Rowe Several months ago a professor at the University of North Carolina published findings that turned beliefs about the economy upside down. Health improves, he said, as the economy goes down. When the economy declines, to a point at least, deaths, smoking, obesity, heavy drinking, heart disease and some kinds of back problems all decline as well. "Sounds unlikely," said The New York Times. And indeed it is, by the standard reckonings at least. We all know that an expanding economy makes us better off - or do we? Another study, this one in England, found that shopping, which is the drive train of the entire economy, and which is supposed to make people feel good, actually can make them depressed. "For significant numbers, dissatisfaction is now part of the shopping process," one of the authors said. (As though we needed a study to tell us that.) What's going on here? How could we feel better when the experts say we should feel worse, and worse when they say we should feel better? Could it be that economists don't know up from down to begin with?

4. Fuzzy Math (Aaron Swartz: The Weblog) fuzzy math. One of the weirdest things I heard when listening to the Cato Institute debate was an p2p is not a crime. fuzzy math. Tufte. Quickly. curb your celebrity http://www.aaronsw.com/weblog/000616

Fuzzy Math for free More examples: the thriving shareware market, the Baen Free Library, Janis Ian and others. posted September 25, 2002 06:54 PM ( Politics Nearby up Feeling Lucky TRAMP Update Gary Shapiro: Sharing is Legal and Moral! ... p2p is not a crime Fuzzy Math Tufte Quickly curb your celebrity quick hack ... me@aaronsw.com All text above by me is in the public domain.

5. President Clinton's Mandate For Fuzzy Math THE WALL STREET JOURNAL June 11, 1997 President Clinton s Mandate for fuzzy math. By Lynne V. Cheney. Marianne Jennings, an Arizona http://www.mathematicallycorrect.com/cheney.htm

THE WALL STREET JOURNAL June 11, 1997 President Clinton's Mandate for Fuzzy Math By Lynne V. Cheney Marianne Jennings, an Arizona State business professor, has brought enlightenment to the multitudes. With her commentaries on her daughter Sarah's eighth grade math book ("MTV Math" she calls it, for its colorful pictures, disconnected ideas, and generally casual attitude), she has helped parents across the country realize they are not the only ones dismayed by current mathematics education. Kids are writing about "What We Can Do to Save the Earth," and inventing their own strategies for multiplying. They're learning that getting the right answer to a math problem can be much less important than having a good rationale for a wrong one. Sometimes called "whole math" or "fuzzy math," this latest project of the nation's colleges of education has some formidable opponents. In California, where the school system embraced whole math in 1992, parents and dissident teachers have set up a World Wide Web site called Mathematically Correct to point out the follies of whole-math instruction.

6. President Clinton's Mandate For Fuzzy Math THE WALL STREET JOURNAL. June 11, 1997. President Clinton's Mandate for fuzzy math. By Lynne V. Cheney. Marianne Jennings, an Arizona State business professor, has brought enlightenment to the multitudes. Sometimes called "whole math" or "fuzzy math " this latest project of the nation's colleges of education has some http://mathematicallycorrect.com/cheney.htm

THE WALL STREET JOURNAL June 11, 1997 President Clinton's Mandate for Fuzzy Math By Lynne V. Cheney Marianne Jennings, an Arizona State business professor, has brought enlightenment to the multitudes. With her commentaries on her daughter Sarah's eighth grade math book ("MTV Math" she calls it, for its colorful pictures, disconnected ideas, and generally casual attitude), she has helped parents across the country realize they are not the only ones dismayed by current mathematics education. Kids are writing about "What We Can Do to Save the Earth," and inventing their own strategies for multiplying. They're learning that getting the right answer to a math problem can be much less important than having a good rationale for a wrong one. Sometimes called "whole math" or "fuzzy math," this latest project of the nation's colleges of education has some formidable opponents. In California, where the school system embraced whole math in 1992, parents and dissident teachers have set up a World Wide Web site called Mathematically Correct to point out the follies of whole-math instruction.

7. 2 Plus 2: The Home Of Mathematically Correct The advocates of the new, fuzzy math have practiced their rhetoric well. 2+2=5 fuzzy math Invades Wisconsin Schools, .pdf file 80k by Leah Vukmir. http://www.mathematicallycorrect.com/

"There is a mathematically correct solution" This web site is devoted to the concerns raised by parents and scientists about the invasion of our schools by the New-New Math and the need to restore basic skills to math education. Mathematically Correct is the informal, nationwide organization that fights the Establishment on behalf of sanity and quality in math education. David Gelernter, NY Post Mathematics achievement in America is far below what we would like it to be. Recent " reform " efforts only aggravate the problem. As a result, our children have less and less exposure to rigorous, content-rich mathematics . The advocates of the new, fuzzy math have practiced their rhetoric well. They speak of higher-order thinking, conceptual understanding and solving problems, but they neglect the systematic mastery of the fundamental building blocks necessary for success in any of these areas. Their focus is on things like calculators, blocks, guesswork, and group activities and they shun things like algorithms and repeated practice. The new programs are shy on fundamentals and they also lack the mathematical depth and rigor that promotes greater achievement. Concerned parents are in a state of dismay and have begun efforts to restore content, rigor, and genuinely high expectations to mathematics education. This site provides relevant background and information for parents, teachers, board members and the public from around the country.

8. Mai Gehrke's Curriculum Vita New Mexico State University Nonstandard mathematics, operators on boolean algebras, fuzzy mathematics, universal algebra, general topology, posets and lattices. http://www.math.nmsu.edu/mgehrke/mgehrke.html

Mai Gehrke Department of Mathematical Sciences Phone: (505] 646-4218 New Mexico State University Fax: (505) 646-1064 Las Cruces, NM 88003 mgehrke@nmsu.edu Office Location: Science Hall Room 232 House for rent while on sabbatical 2004-2005 Return to Faculty Page Return to Main Index PROFESSIONAL EXPERIENCE Professor, New Mexico State University, Las Cruces, New Mexico. 1/99Present Part-time consulting, Physical Science Laboratory, Las Cruces, New Mexico. 1/975/97 Visiting Professor, Vanderbilt University, Nashville, Tennessee. 8/9612/96 Visiting Lektor, University of Copenhagen, Copenhagen, Denmark. 8/93 5/00 Associate Professor, New Mexico State University, Las Cruces, New Mexico. 8/905/93 Assistant Professor, New Mexico State University, Las Cruces, New Mexico. 8/885/90 2-year position as Assistant Professor, Vanderbilt University, Nashville, Tennessee. 1/837/87 Teaching Assistant, University of Houston, Houston, Texas. Return to top of page RESEARCH INTERESTS Logic and its Applications Universal Algebra and Lattice Theory General Topology Return to top of page PUBLICATIONS Mathematical Research Publications A new proof of completeness of S4 with respect to the real line , with G. Bezhanishvili, submitted to

9. Fuzzy Math Books To Avoid Warning against fuzzy math books by the NewNew Math (also called fuzzy math and Mickey-Mouse Math) and the need to restore basic skills to math education. As a homeschooler, you http://www.homeschoolmath.net/fuzzy_math.htm

HOMESCHOOL MATH Home 123-Math ebooks Worksheets Curriculum guide ... DVD rentals Fuzzy math - programs you are better off NOT using The website www.mathematicallycorrect.com is devoted to the concerns raised by parents and scientists about the invasion of US schools by the New-New Math ( also called Fuzzy Math and Mickey-Mouse Math) and the need to restore basic skills to math education. As a homeschooler, you will be able to avoid these horrible new math programs used in some public schools. Though you can probably find these books cheap in thrift stores if schools are using them in your area, they might not be a good idea from the mathematical point of view. For more information, see Mathematics Program Reviews and Information at their website. "Mathematics achievement in America is far below what we would like it to be. Recent "reform" efforts only aggravate the problem. As a result, our children have less and less exposure to rigorous, content-rich mathematics. The advocates of the new, fuzzy math have practiced their rhetoric well. They speak of higher-order thinking, conceptual understanding and solving problems, but they neglect the systematic mastery of the fundamental building blocks necessary for success in any of these areas. Their focus is on things like calculators, blocks, guesswork, and group activities and they shun things like algorithms and repeated practice. The new programs are shy on fundamentals and they also lack the mathematical depth and rigor that promotes greater achievement."

10. CBS News | Bush Team's Fuzzy Math | February 24, 2004 13:21:59 Bush Team s fuzzy math NEW YORK, Feb. 24, 2004 (Photo CBS/AP) There s nothing subtle about these They just decided to leave a http://www.cbsnews.com/stories/2004/02/24/politics/main601960.shtml

Home U.S. Iraq World ... FREE CBS News Video February 24, 2004 13:21:59 The Early Show CBS Evening News 48 Hours 60 Minutes ... Section Front E-mail This Story Printable Version Bush Team's Fuzzy Math NEW YORK, Feb. 24, 2004 (Photo: CBS/AP) "There's nothing subtle about these: They just decided to leave a lot of big items out." Robert Bixby, Concord Coalition Differences in estimates of the cost of the Medicare drug benefit are due to different predictions of future demand. (Photo: CBS/The Early Show) The war in Iraq is a large potential cost that the president's budget largely ignores. (Photo: AP) (CBS) In a presidential debate nearly four years ago, George W. Bush accused Al Gore of employing "fuzzy math." But increasingly, it's the White House that's being accused of numerical fuzziness on Medicare, the deficit and jobs. President Bush last year signed a Medicare prescription drug benefit with an estimated price tag of $395 billion. A month later, the White House said the actual cost was more like $534 billion. In his State of the Union address, the president pledged to halve the deficit by 2009. But his plan largely excludes the cost of operations in Iraq and Afghanistan and does not reflect the long-term impact of Mr. Bush's proposal to make recent tax cuts permanent.

11. ABCNEWS.com : Why Fuzzy Math Makes Sense In Politics It's a safe bet that you have never heard the presidential candidates explain how adjusted multiple correlation coefficients work. Self-described fuzzy mathematician John Allen Paulos claims that fuzzy numbers are the only kind Nothing Wrong. With fuzzy mathSometimes Fuzziness Is Required When Analyzing Politics http://abcnews.go.com/sections/science/WhosCounting/whoscounting001101.html

var SectionID="Science"; var SubsectionID="WhosCounting"; var NameID="whoscounting001101"; Search the Web and ABCNEWS.com Print This Page Email This Page See Most Sent June 5, 2004 HOMEPAGE NEWS SUMMARY US INTERNATIONAL ... TRAVEL FEATURED SERVICES RELATIONSHIPS NEW! INSURANCE SHOPPING ... FREE HEADLINE FEED ADVERTISEMENT Schwab Trader CT Self-described fuzzy mathematician John Allen Paulos claims that fuzzy numbers are the only kind of numbers that work when it comes to explaining the economy. (James A. Boyle) Nothing Wrong With Fuzzy Math Sometimes Fuzziness Is Required When Analyzing Politics and the Economy By John Allen Paulos Nov. 1 Instead they talk a lot about individuals with specific problems (89-year-old Mrs. Kadoskins from rural Nebraska whose prescription bill is exorbitant) that, it is hoped, will resonate with millions of other people. As a fuzzy mathematician, I took umbrage. Fuzziness Covers the Unknowns Consider some of the complexity involved. Interest rates have an impact on unemployment, which in turn influences revenues. And budget deficits affect trade, which sways interest and exchange rates. And what about external events and consumer confidence? They may rouse or depress the stock market, which alters other indices, and all of these interact with each other in complicated ways. Grading Al, George W. and Bill

12. Fuzzy Math Kerby Anderson Commentary fuzzy math. July 6, 1999. For the moment, it appears that traditional math is on the way out and fuzzy math is on the way in. http://www.probe.org/docs/c-fuzzy.html

Kerby Anderson Commentary Fuzzy Math July 6, 1999 Concerned parents and political activists have been complaining about fuzzy math for years, but the battle over this new way of teaching math in Plano, Texas has started to bring the issue into focus. For years I've been reading about these new textbooks that change the way math is taught. These techniques are sometimes called "fuzzy math" or "whole math" or the "new new math." I've even heard of a textbook referred to as rainforest algebra because it spends a good portion of the book talking about ecology and the loss of rainforests instead of teaching algebra. Now you would think that math is math. But of course I used to think that grammar was grammar until educators introduced such things as the whole language approach and changed the way students learned English and grammar. The same seems to be taking place with these new math books. The textbook in question is called Connected Mathematics . Math is taught through group work and through discovery learning. In essence, students are to teach themselves and to work in groups. I well remember when that fad hit my high school my senior year. Since I lived just outside Berkeley, California I got to see some of these educational fads 20 years before most school districts. My math teacher came back from a seminar on group learning and implemented it in our pre-calculus class. Let me say it was pretty much of a disaster. Most of us learned math in spite of the program, not because of it.

13. Frankly...: Fuzzy Math Franklyn Monk is a goddamn artist freak. This page is devoted to various work including comics, poetry, flash design, 3d graphics and animation. fuzzy math. SciScoop fuzzy math And Fuzzy Thinking By The Numbers http://fmonk.com/archives/000416.php

Monk's Blog October 28, 2003 Fuzzy Math TrackBack Comments Post a comment Name: Email Address: URL: Remember personal info? Yes No Comments:

14. Fuzzy Math Kerby Anderson Commentary fuzzy math. October 4, 1999. The concept is called fuzzy math, because it reminds critics of what was done years ago with English. http://www.probe.org/docs/c-fuzzy2.html

Kerby Anderson Commentary Fuzzy Math October 4, 1999 A month ago, I wrote a commentary about Connected Mathematics, often called "fuzzy math." Since then there has been an article about this issue in the Washington Times. When a major national newspaper does a story about a Plano math book, you know that this local controversy is taking on national implications. The concept is called fuzzy math, because it reminds critics of what was done years ago with English. No longer was phonics taught, but a whole language approach was introduced into the schools changing the way students learned English and grammar. The same seems to be taking place in the textbook called Connected Mathematics. Math is taught through group work and through discovery learning. Math teachers no longer teach. Instead students are to teach themselves and to work in groups. Six families from Plano have filed a class-action lawsuit claiming their children were not learning in the connected math program and were not given the option of a more traditional math course. The Washington Times article points out that other school districts have been testing the connected math program. So what happens in Plano will affect more than just students in the Dallas area.

15. King George The Second: Fuzzy Math Nothing close to half the country voted for this man. George W. Bush's fuzzy math. Soon after the Supreme Court decision that led Al Gore to concede the Even less surprising is the fuzzy math http://www.irregulartimes.com/fuzzy.html

The Ribald Reign of King George the Second George W. Bush's Fuzzy Math Soon after the Supreme Court decision that led Al Gore to concede the presidential election to George W. Bush, I wrote an article entitled Bush Wins, Bush Loses . In the article, I compared George W. Bush to Daffy Duck for the way that he has been duped into accepting a job so difficult that only an idiot would take it. The whole point of the article is that the difficulty of the political situation and President George Junior's inexperience, inarticulateness and general inability will combine to make him the least remarkable person to inhabit the Oval Office in American History. Well, it's not too surprising that a large number of the Republican faithful disagreed with me. Even less surprising is the fuzzy math that they used to justify their angry responses. Typical is the following, from a Republican who goes by the name of poetwarrior. This GOP guy writes, "I dissent. Well-written but not a very honest diatribe. Remember: half the country voted for this man." Now, I ask you: what's not honest about saying 1st that George W. Bush is not very smart and 2nd that he's got a very difficult job ahead of him? Honesty hurts sometimes.

16. FactCheck.org Kerry Ad On Abortion: Fuzzy Math Kerry Ad on Abortion fuzzy math. Kerry claims the Supreme Court is just one vote away from overturning abortion rights for women. Make that TWO votes. http://www.factcheck.org/article.aspx?docID=176

17. How Not To Teach Math By Matthew Clavel from a pedagogical philosophy that goes by several names—“Constructivist Math,” “NewNew Math,” and, to its detractors, “fuzzy math.” I’ll http://www.city-journal.org/html/eon_3_7_03mc.html

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18. ABCNEWS.com : Why Fuzzy Math Makes Sense In Politics (James A. Boyle), Nothing Wrong With fuzzy math. Sometimes Fuzziness Is Required When Analyzing Politics and the Economy. By John Allen Paulos Nov. http://abcnews.go.com/sections/scitech/WhosCounting/whoscounting001101.html

var SectionID="SciTech"; var SubsectionID="WhosCounting"; var NameID="whoscounting001101"; Search the Web and ABCNEWS.com Print This Page Email This Page See Most Sent June 5, 2004 HOMEPAGE NEWS SUMMARY US INTERNATIONAL ... TRAVEL FEATURED SERVICES RELATIONSHIPS NEW! INSURANCE SHOPPING ... FREE HEADLINE FEED Self-described fuzzy mathematician John Allen Paulos claims that fuzzy numbers are the only kind of numbers that work when it comes to explaining the economy. (James A. Boyle) Nothing Wrong With Fuzzy Math Sometimes Fuzziness Is Required When Analyzing Politics and the Economy By John Allen Paulos Nov. 1 Instead they talk a lot about individuals with specific problems (89-year-old Mrs. Kadoskins from rural Nebraska whose prescription bill is exorbitant) that, it is hoped, will resonate with millions of other people. As a fuzzy mathematician, I took umbrage. Fuzziness Covers the Unknowns Consider some of the complexity involved. Interest rates have an impact on unemployment, which in turn influences revenues. And budget deficits affect trade, which sways interest and exchange rates. And what about external events and consumer confidence? They may rouse or depress the stock market, which alters other indices, and all of these interact with each other in complicated ways. Grading Al, George W. and Bill

19. Salon.com Politics | Mitch Daniels' Fuzzy Math Mitch Daniels fuzzy math The Bush budget director has a little problem with the truth. Editor s note With this column, we are http://www.salon.com/politics/col/spinsanity/2002/02/12/daniels/

Search About Salon Table Talk Advertise in Salon ... Search All of Salon.com Only Politics Directory Hot Topics Democrats Green Party Spinsanity George W. Bush ... World Trade Center and Pentagon Attacks Articles by date All of Salon.com By department Books Comics ... Table Talk [Spirited Salon forums] Posts of the week The Well [Pioneering members-only discussions] Selling to suckers Sound Off E-mail Salon Send us a Letter to the Editor Recent Letters Downloads Get Salon.com on your PDA Mitch Daniels' fuzzy math The Bush budget director has a little problem with the truth. Editor's note: With this column, we are proud to introduce to our readers a new column, Spinsanity. To learn more about the column and the young men behind it, click here. By Brendan Nyhan Mitch Daniels was an unusual choice to head the Office of Management and Budget (OMB) in the Bush White House. A former political operative and pharmaceutical executive, he was tapped for the position last year despite a lack of experience in the intricacies of the federal budget. Since then, Daniels has become a key figure in the administration , helping design policies and pressing publicly for their enactment.

20. T R U T H O U T - Maureen Dowd | Wolfie's Fuzzy Math Go to Original. Wolfie s fuzzy math By Maureen Dowd The New York Times. Sunday 02 May 2004. WASHINGTON. This administration is the opposite of The Sixth Sense. . http://truthout.org/docs_04/050304I.shtml

Print This Story E-mail This Story Go to Original Wolfie's Fuzzy Math By Maureen Dowd The New York Times Sunday 02 May 2004 WASHINGTON This administration is the opposite of "The Sixth Sense." They don't see any dead people. Beyond the president's glaring absence at military funerals; beyond the Pentagon's self-serving ban on photographing the returning flag-draped coffins at Dover; beyond playing down the thousands of wounded and maimed American troops and the thousands of hurt and dead Iraqi civilians, now comes the cruel arithmetic of Paul Wolfowitz. What can you say about a deputy defense secretary so eager to invade Iraq he was nicknamed Wolfowitz of Arabia, so bullish to remold the Middle East he froze the State Department out of the occupation and then mangled it, who doesn't bother to keep track of the young Americans who died for his delusion? Those troops were killed while they were still trying to fathom the treacherous tribal and religious beehive they were never prepared for, since they thought they'd be helping build schools and hospitals for grateful Iraqis. Asked during a Congressional budget hearing on Thursday how many American troops had been killed in Iraq, Mr. Wolfowitz missed by more than 30 percent. "It's approximately 500, of which - I can get the exact numbers - approximately 350 are combat deaths," he said.

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