Problem Solving: A 21st Century Education

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Problem Solving:A 21st CenturyEducationRichard Rusczykwww.artofproblemsolving.comMATH PRIZE FOR GIRLSNOVEMBER 14, 2009

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Result of relying on the Standard Curriculum“I certainly wish your website and materials existed when Iwas in high school. I went through junior high and highschool without ever missing a question on a math test, andthen took [Math] 103 and 104 at Princeton, which wasone of the most unpleasant and bewildering experiences ofmy life and poisoned me on math for years.”-Princeton University alumRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Three general areas in which thestandard curriculum is not designedto allow students to reach their full potential: Depth Delivery Subject CoverageRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Lack of Depth in the Standard Curriculum Problems are too easy Tyranny of 100% Encourages memorizationRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Poor Delivery in the Standard Curriculum Little exposition, lots of fluff Drill and kill is boring Drill and kill is counterproductive Lesson - problem structure is backwardsRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Inadequate Subject Coveragein the Standard Curriculum Discrete math almost entirely ignored Calculus over-emphasized Problem solving treated as a supplemental topicRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009“While challenging and improving the mathematical problemsolving skills of high-performing students are surely every-dayobjectives of those who teach such students, it is not a problem,relatively speaking, of major import in American education.”-Department of Education Grant ReviewerRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Acceleration Alone is Not the Answer It doesn’t solve the problem Solving hard problems is moreimportant than using advanced toolsRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Why Challenging Problem Solving is Important Presents challenges like the ones studentswill face in college Prepares students for the intellectualchallenges of many different careersRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Keys to Developing Strong Problem Solving Skillsin the Early Years Read PlayRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Two Strategies for High-performingMiddle and High School Students Extracurricular Programs Independent StudyRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Benefits of a Math Club Offers more challenging mathematics Signals the importance of math to students Establishes a culture of excellence Provides social interaction among studentswith common interestsRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009ContestsMOEMSMath Olympiads inElementary and Middle Schoolwww.moems.orgGrades 4-8.Emphasis on problems with many solutions.Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Contestswww.mathcounts.org Premier contest for students in grades 6-8 School, Chapter, State, National levels Annual training packet of 300 challengingproblems Club program with group activitiesRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009ContestsAmerican Mathematics Competitionswww.unl.edu/amcAMC 8AMC 10 and AMC 12American Invitational Math Exam (AIME)USA Math Olympiad (USAMO)Math Olympiad Summer Program (MOSP)China Girls Math OlympiadInternational Math Olympiad (IMO)Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009ContestsARMLAmerican Regions Math Leaguewww.arml.comMandelbrot Competitionwww.mandelbrot.orgUSAMTSUSA Mathematical Talent Searchwww.usamts.orgPurple Cometwww.purplecomet.orgRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009MIT ApplicationAMC 12/AMC 10AIMECalTech ApplicationAMCAIMEMany colleges ask forAMC scores and someeven offer scholarships.Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Math CirclesLocal opportunities for studentsto learn outside their schoolsCities with Math Circles include:Albany, Austin, Berkeley, Boston, Boulder, Charlotte, Dallas,Los Angeles, Mobile, New York, Palo Alto (Stanford), Salt Lake City,SAN DIEGO, San Francisco, San Jose, Seattle, TucsonRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Merits of Independent Study Structured more like college and careers Removes the ceiling of the standard curriculum Less likely to bore students into losing interestin math Creates more mature learners Gives students time to indulge their academicpassionsRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Summer rossRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Research Competitions Siemens Competition (www.siemens-foundation.org) Intel Science Talent Search (www.intel.com/education/sts) Davidson Fellows Scholarship Program(www.davidsongifted.org) International Science & Engineering Fair (www.sciserv.org/isef/)Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Other Olympiads USA Computing Olympiad (www.usaco.org) USA Physics Olympiad (www.aapt.org/Contests/olympiad.cfm) USA Chemistry Olympiad (url too long to list) USA Biology Olympiad (www.cee.org/programs/usabo) North American Computational Linguistics Olympiad(www.naclo.cs.cmu.edu/)Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Challenges to Ser ving the Top Students Convincing schools there’s a problem Equity issues Convincing students there’s a problem Calculus! Calculus! Calculus!Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationBooksClassesWebsiteRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationBooksArtArt ofof ProblemProblem SolvingSolving IntermediateIntroduction ebraRichard Rusczykby Richardand MathewRusczyk ckIntroductionPrecalculusto Geometryby RichardbyRusczykRichard RusczykIntroductionCalculusto NumberExpectedTheoryJanuary, 2010by Mathew Crawford Modern mathematics curriculum for high-performing math students Integrates problem solving with the mathematics curriculum Includes over 2000 problems, many chosen from prominent contestsRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationBooksAwards won by the authors of Art of Problem Solving textbooks: National MATHCOUNTS Test Champion National MATHCOUNTS Team Champion Two perfect scores on the AMC exam Three perfect scores on the AIME exam Two USAMO winners 9 invitations to the Math Olympiad ProgramRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationBooksArt of Problem Solving Volume 1 and 2by Richard Rusczyk and Sandor Lehoczky Emphasis on problem solving and contest preparation Used by top MATHCOUNTS and AMC studentsand teams for over 16 years Authors earned the only perfect scores on the AIMEin 1989 (Rusczyk) and 1990 (Lehoczky)Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationBooksMathematical Circles by Fomin, Genkin, ItenbergArt and Craft of Problem Solving by Paul ZeitzProblem Solving Strategies by Arthur EngelOlympiad problem books and preparation textsby Titu Andreescu and/or Zuming FengRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationClassesOnline classes for problem solving available at: Art of Problem Solving Belin-Blank CTY EPGY TIPRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationWebsitewww.artofproblemsolving.com Books Classes Articles on problem solving topics LaTeX tutorial for typesetting mathematical writing AoPSWiki Lists of and links to many other resources, such asbooks, programs, contests, scholarships, and more!Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationWebsitewww.artofproblemsolving.comA FREE online multi-player game.Thousands of MATHCOUNTS and AMC problems.Countdown Round format.Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationWebsitewww.artofproblemsolving.comA New Online Adaptive Learning SystemFREE!Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Resources for a Math Problem Solving EducationWebsitewww.artofproblemsolving.comLargest online community of problemsolvers in the English-speaking worldTens of thousands of membersOver one million postsRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Opportunities in College Internships Research Experiences for Undergrads (REUs) Budapest Semesters in Mathematics Work for Art of Problem SolvingRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Developing Problem Solving SkillsStrategies for ParentsOrganizeAgitateContributeRichard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Technology now allows us toleverage the efforts of a fewto the benefit of the many.Richard Rusczykwww.artofproblemsolving.com

MATH PRIZE FOR GIRLSNOVEMBER 14, 2009Our tomorrowis in the hands of thebest students today.Richard Rusczykwww.artofproblemsolving.com

Richard Rusczyk www.artofproblemsolving.com Art of Problem Solving Introduction Series Introduction to Algebra by Richard Rusczyk Introduction to Counting & Probability by David Patrick Introduction to Geometry by Richard Rusczyk Introduction to Number Theory by Mathew Crawford Modern mathematics curriculum for high-performing math students

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