41. AMATYC Phoenix - Workshops W18 Exploring chaos and fractals as They Occur in Newton s Method 1015 1215 W22 Teaching Introductory Statistics with Data and activities Off-site http://www.amatyc.org/Phoenix/Workshops.html

YOU'RE WANTED... FOR A PERFECT CONFERENCE 28th Annual AMATYC Conference November 14 - 17, 2002 Phoenix, Arizona Workshops The deadline for preconference registration has past. AMATYC 2002 Conference Page Local Conference Website Travel Information ... Phoenix Suns - AMATYC Night Miniprogram: Thursday Friday Saturday Sunday ... Special Events Information for Presenters: Presentation Policy and Fact Sheet Guidelines for Speakers Instructions on How to Do an Internet Presentation Without an Internet Connection A workshop includes active attendee participation, an in-depth treatment of a skill, and significant handouts. Assignments are made on a space available basis, as conference payments are received. Attendees may register for two workshops. The workshops listed as Off-site will be held in a computer lab at City Colleges Center Campus of Phoenix College. All participants should schedule at least 30 minutes each way for travel. The conference program will have a more detailed bus schedule. AMATYC is not responsible for the transportation of anyone who misses the bus. W1 Awesome Activities for Future Teachers Thursday Peter R. Wildman

42. Mathematics > Topology are called fractals . In essence, they are visual images or pictures of chaos at work. fractals for the Classroom Strategic activities Volume Two http://www.libreriauniversitaria.it/BUS/r_MAT03800/p_7/Topology.htm

PowerSearch: Libri Italiani English Books DVD Reparto Selezionato Mathematics Advanced Applied Arithmetic ... Vector Analysis Altri Reparti Architecture Art Computers Cooking ... True Crime Topology Mathematics Exploring Fractals on the Macintosh Autore: Bernt Wahl Addison-Wesley Professional, October 1994 The chaotic world of fractals meets the Macintosh for the first time in this expert exploration for users and programmers. This book examines the workings of these complex and intriguing mathematical models in a way that is accessible and engaging. Included are fully working versions... ( Continua Grothendieck Theory of Dessins D'Enfants Redattore: Leila Schneps Cambridge University Press, September 1994 The focus of this book is on combinatorial objects, dessins d'enfants, which are drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of... ( Continua Complex Dynamics Autori: L. Carleson

43. Ewha Womans University 35467 fractals and chaos. We study chaos, dynamic system which is irregular teaching plans and practice in the class also includes some activities like http://www.ewha.ac.kr/eng/academics/college/education_09.jsp

44. Additional Resources Both of these sites relate to the activities of the Number Sense Research Group at to resources from the history of mathematics to fractals and chaos. http://www.mpt.org/learningworks/teachers/numbers_alive/resources.html

Additional Resources SURFING THE 'NET There are an incredible wealth of web sites related to mathematics on all levels. Here are some to get you started. For the most recent data, use your favorite search engine and enter terms like "mathematics education," "numbers sense," "kid's math," etc. to find the most recent entries. For Teachers http://www.pbs.org/mathline This is the site of PBS's innovative professional development site for mathematics teachers in elementary and middle grades, with an abundance of classroom resources and feedback from other teachers throughout the country. http://enc.org This is the homepage for the Eisenhower National Clearinghouse, a wealth of mathematics and science information, with extensive links to other Internet resources. Each month, 13 outstanding math and science sites are singled out for the spotlight in "The Digital Dozen." http://www.doe.mass.edu/frameworks/archive/math96/Mathnumsense.html A great nugget of individualized information from teachers using exemplary practices to teach number sense. Although all related to Massachusetts math curricula, the ideas and activities can probably spark some ideas that relate to your work. http://tiger.coe.missouri.edu/~barb/number.html

45. 3 TEACHING ACTIVITIES AND STUDIES 3 TEACHING activities AND STUDIES J. Norbury about nonlinear dynamical systems, fractals and chaos, and prof. A. Kirjanen lectured about the stability http://www.mit.jyu.fi/tutkimus/lsc/Publications/annrep95/teaching.html

3 TEACHING ACTIVITIES AND STUDIES 3.1 Undergraduate Teaching Lecture courses were given in 1995 on applied mathematics and computer science in three levels for undergraduate students. Topics of the courses were programming in C and in Fortran, applications for microcomputers, operating systems, numerical methods, optimization methods, graphical interfaces, artificial intelligence, scientific computing, mathematical algorithms, numerical solution of partial differential equations (the finite element method), simulation, convex analysis, control theory and digital image processing. Several new courses in telecommunications were started. The main subjects provided for the students are scientific computing, telecommunications and software engineering. A part of the courses for undergraduate and graduate students were given in English by foreign visitors. Professor M. Rudnicki talked about genetic and neural computing, professor C.A. Marinov about signal processing and professor Yu.A. Kuznetsov lectured about substructuring preconditioners for elliptic FE-problems on nonmatching grids. 3.2 Postgraduate Teaching

46. Resources - Teacher Click on Teachers for thousands of lesson plans, classroom activities, Information on fractals and chaos ..lots of higher level math appropriate http://www.spotsylvania.k12.va.us/resources/teacher.htm

Spotsylvania County Schools Administrative Services 8020 River Stone Drive Fredericksburg, VA 22407 Fax: 540-834-2556 TDD: 540-834-2557 Search for: Directions Quick Links Superintendent School Board General Assembly Administration ... SCS Home Page General Information Directory 2005-2006 Calendar 2006-2007 Calendar Health Services ... More General Info Educational Resources For Parents For Students For Teachers School Home Pages Elementary Schools Middle Schools High Schools Alternative Schools Employment Job Postings GroupWise Web Access Elementary Middle High Administration Resources - Teacher SOL Tracker SOL Tracker is updated regularly. Click Here to download the most current version of the software. When the next window opens click "Save". On the next page in the dropdown list next to "Save in" select "Desktop" and click "Save" again. Once the download is complete click on the "Open" button to install the update. When the update is complete click the "Finish" button and restart your system. ENGLISH / LANGUAGE ARTS http://www.teachervision.com

47. Elizabeth Beer: Resume supported by Undergraduate Creative activities and Research Experiences (UCARE) award, funded by Pepsi MATH 398, Special Topics fractals chaos http://www.ams.jhu.edu/~beer/gradresume.html

Resume Elizabeth Anne Beer Addresses Current Permanent Department of Applied Mathematics and Statistics Johns Hopkins University 3400 North Charles Street Baltimore, MD 21218 Website: http://www.ams.jhu.edu/~beer c/o Robert and Dorothy Beer 12394 Rose Lane Omaha, NE 68154 ... Welsh, and other languages

48. About PIMMS activities Integrating Mathematics and Science (AIMS) Astronomy in a Portable Planetarium fractals and chaos Physics, Math, and Technology http://www.wesleyan.edu/pimms/About.htm

About PIMMS MISSION MULTIPLYING SUCCESS PROGRAMS PARTNERSHIPS ... RECOGNITION The PIMMS offices are located on the campus of Wesleyan University in a house originally built in downtown Middletown circa 1750. It was moved to its current location at 178 Cross Street in the early 1800s. History In 1979, Robert A. Rosenbaum, a professor of mathematics at Wesleyan University, convened a group of citizens who were concerned about the quality of mathematics education in CT. These meetings included mathematics teachers and faculty from the public school, community college, and university levels, school administrators, and representatives of business and industry. Their collaboration resulted in the formation of the Project to Increase Mastery of Mathematics (PIMM). PIMMS ( Project to Increase Mastery of Mathematics and Science ) began in 1983 when the organization’s scope was broadened to include science. In the summer of 1984, the first of a continuing series of summer Fellowship programs for teachers was conducted. These two-summer, multi-week institutes are designed to increase the content background of participants, to provide them with new teaching strategies, including the use of technology, and to develop their leadership capabilities so they can extend the impact of their PIMMS experience to their colleagues and educators statewide. Mission PIMMS' Mission

49. Department Of Mathematics The five elective courses; fractals and chaos, Introduction to Pascal The teaching method is lecture and discussion combined with group activities and http://www.icsd.k12.ny.us/highschool/math.html

Department of Mathematics IHS Page Department Chair: Haralyn Kuckes Phone: 274-2191 Teachers David Bock William Craine Severin Drix Hsinyu Ho Tom Mariano Kevin McMahon Lizabeth Morse Helen Perl Janet Ramakrishna Karen Seifert Vivian Smith Rosyeln Teukolsky Lianne Thompson Mark Tisdale Steve Weissburg Sofika Butenko Vicki Cable Kim Smith Secretary: Jane Pollak Course Contents Department Definition General Mathematics: Local Consumer Mathematics: Local Math A: Regents Transition ... Return to top of Page Department Definition The mathematics course offerings at Ithaca High School are designed to help students develop mathematical competencies and skills and to encourage them to continue study in mathematics. A large selection of courses and possible course sequences are offered to meet varied student interests and to allow each student to achieve at his/her own highest level of understanding. The five elective courses; Fractals and Chaos, Introduction to Pascal Programming, Introduction to Programming in C++, Advanced Placement Computer Science, and Advanced Placement Statistics are designed to be taken in addition to other mathematics courses. A laboratory with 24 Power Mac 7200 computers is available for teaching computer programming and AP Statistics and for use in supplementing and reinforcing subject matter in other mathematics courses. A laboratory with 24 IBM computers is available for Advanced Placement Computer Science.

50. MATHEMATICS The five elective courses—fractals and chaos, Introduction to Computer The teaching method is lecture and discussion combined with group activities and http://www.icsd.k12.ny.us/highschool/math/mathpos.html

back Ithaca High School 2003-2004 Program of Studies MATHEMATICS SEE OUR COURSES IN FLOWCHART FORM Department Leaders: Kevin McMahon, Ros Teukolsky, Steve Weissburg Mathematics Department Office: H-216 Phone: 274-2191 The mathematics course offerings at Ithaca High School are designed to help students develop mathematical competencies and skills and to encourage them to continue study in mathematics. A laboratory with 24 Apple G4 Cube computers is available for teaching computer programming, AP Statistics, AP Computer Science and for use in supplementing and reinforcing subject matter in other mathematics courses. IMPORTANT NOTICE REGARDING NEW STATE REQUIREMENTS All regular education students are now required by New York State to pass one Regents-level mathematics examination as part of their graduation requirements. The last regular administration of the state Course 1 Regents exam was June 2001, the last Course 2 exam was June 2002, and the last Course 3 exam was in June 2003. Students who entered the high school before September 2001 are required to earn two credits in math.

51. Chaos And Fractal Geometry Tutorials And/or Resources For Teaching Chaos. They H College chaos (30 Items) Fractal tutorials and resources for college students and those fractals for the Classroom Strategic activities Vol 1 http://metastore.metaculture.net/science/fractal/learning/default.asp

Learning Fractal Geometry "The War on Drugs and the War on Crime are really just part of the government's War on Individual Rights. " -Nancy Lord metastore Home Up One Level Home Site Guide ... Great Groups Visit ScanStore.com Paperless Office Systems from Meta Enterprises These resources are instructional in nature versus research-oriented material. It is divided into categories by age group the particular item targets. There is material in here that an 8-10 year old can easily grasp, and don't believe they can't. Links to Learning Fractal Geometry (20) Related Categories Fractals for Children (2 Items) Fractal tutorials and resources for beginners and grade school children. Fractals for Young Adults (10 Items) Fractal tutorials and resources for high school students and those with intermediate math skills. College Chaos (30 Items) Fractal tutorials and resources for college students and those proficient in math. Advanced Nonlinear Nonsense (15 Items) Advanced fractal materials for mathematicians and the not-so-faint-of-heart! Education Reform (2 Items) The educational system in America is sorry, and the rest of the world is better only in comparison. A unified vision of science, society and religion must be taught for kids to understand (or take seriously) anything you teach. Start with privatization.

52. Activities activities. TEACHING EXPERIENCE during more than 20 years. The Lecture topics 1) Foundations of fractals; 5. Mappings; 6. Routes to Temporal chaos; 7. http://chaos.phys.msu.ru/loskutov/activpubl.htm

Activities TEACHING EXPERIENCE during more than 20 years. The Lecture topics: 1) Foundations of general physics (1982 2) Nonlinear dynamics and computer programming (1987 3) Introduction into nonlinear dynamics (1987 4) Theory of dynamical chaos (1988 5) Theory of nonequilibrium dynamical systems (1991 6) The physics of chaos (2002 present) At the present time the supervisor of 6 students and 5 Ph.D.- students Head of the theoretical group "Dynamical Systems and Chaos", Moscow State University Selected publications Books A.Loskutov and A.S.Mikhailov. Introduction into Synergetics. - Nauka, Moscow, 1990 (Russian). Contents: 1. Distributed Active Systems; 2. Dynamical Chaos; 3. Information Processing Systems. A.S.Mikhailov and A.Loskutov. Foundation of Synergetics II. Complex Patterns. - Springer, Berlin, 210pp. ( First Edition, 1991). Contents: 1. Introduction; 2. Unpredictable Dynamics in Hamiltonian Systems; 3. Strange Attractors; 4. Fractals; 5. Mappings; 6. Routes to Temporal Chaos; 7. Spatio-Temporal Chaos; 8. Random Processes; 9. Active Systems with Noise; 10. Population Explosions; 11. Extinction and Long-Time Relaxation; 12. Catastrophes. -

53. 2001 NATM Summer Conference - Program Speakers Play the chaos Game, demo of 3D Koch Curve, and make plexiglass fractals. Come find hands-on activities that foster a curiosity in learning more http://www.nde.state.ne.us/NMSI/natm/c200303/program.html

Nebraska Association of Teacher of Mathematics NATM 2003 Grand Island Spring Conference The Shape of Space Monday, March 4, 2002 Midtown Holiday Inn, 2503 South Locust Street, Grand Island, NE Hwy 34 runs east-west between north-south roads Hwy 281 and Stuhr Rd. Tentative Agenda , " The Mathematics Education of Teachers" In 2001 the Conference Board of the Mathematical Sciences published The Mathematical Education of Teachers and hosted a National Summit on the Mathematical Education of Teachers. We will discuss the MET recommendations and (briefly) discuss Math Matters , a NSF funded project at UNL designed to strengthen the preparation of future elementary school teachers. 9:05 to 9:55 Breakout Sessions Geometry problems from the AMC 8, AMC 10, AMC 12, and AIME contests (with maybe a peek at the USAMO and IMO). I will bring comparative data on Nebraska versus national statistics as well as showing how to solve the problems. (Ambassador) Lenny VerMaas, instruction specialist at E.S.U. #6 in Milford . "Developing Number Sense on the Number Line" Grades 2-6 Transform your students into a life-sized number line. Students develop a conceptual understanding of numbers and the relationship between numbers and types of numbers as they place themselves along the number line.

54. Teaching Resouces covering many math topics from Algebra to fractals and chaos to Zeno s Paradoxes. Math Dance Classroom activities for teaching mathematics and http://www.wiu.edu/users/mfjro1/wiu/tea/page1-99.htm

Teaching Resources and information (for Practicing and Prospective Teachers) Page Table of Contents A Few Things I've Created Information and pages by Jim Olsen. Problem Solving Databases Are you looking for good non-routine problems? Math Education Links Tons of cool stuff! Annotated links. Virtual manipulatives, interactive java applets (my favorite is Shodor ), free software, more. Huge storehouse of useable resources. ISBE and NCTM included. Mathematics Links History of math archive and on-line encyclopedia of sequences. Computer Hints, Tips, and Shortcuts, General computer tips and a few things for web developers. Finding Grant Funds Are you looking for money? The Teaching Career Getting a teaching job, discipline/classroom management , and surviving the first year. Other Links "Sites of the Day" This is a catch-all of neat sites that didn't fall into any of the other categories. Atlas of the Universe, online conversions, butterfly farming, and more. A Few Things I've Created Math Applets by Content Standard and Topic - This is a database I'm creating of interactive applets that can be used to help teach/learn mathematics. Many have

55. Oxford University Press: Fractals And Chaos Simplified For The Life Sciences: La fractals and chaos are currently generating excitement across various scientific and Chemical activities. by Christie L. Borgford $27.30 paper In Stock http://www.us.oup.com/us/catalog/general/subject/Chemistry/~~/c2Y9YWxsJnNzPWF1dG

What are sales promo codes? Keyword ISBN Author Title Corporate You are here: OUP USA Home U.S. General Catalog Fractals and Chaos Simplified for the Life Sciences Larry S. Liebovitch Add to Cart paper 288 pages Jan 1998, In Stock Price: Shipping Details Description Product Details Author Information ... Table of Contents Named a 1998 Outstanding Academic Book by Choice Description Fractals and Chaos Simplified for the Life Sciences will also serve as a useful resource for scientists in biomedicine, physics, chemistry, and engineering. Product Details pages; 8-1/2 x 11 About the Author(s) Larry S. Liebovitch, Professor, Florida Atlantic University Center for Complex Systems and Brain Sciences, the Center for Molecular Biology and Biotechnology, and the Department of Psychology Browse Subjects Series Agriculture Anthropology ... Young Adult Books Never miss an Oxford Sale! Browse the Higher Education Web Site Request Examination Copy Feedback Comment Card Consider these titles...

56. Chaos-Based & New Science Resources Fractal chaos Crashes the wall between science religion Enjoy the activities and experiments. Neuroscience Tutorial http://metalinks.metaculture.net/science/

Science "Every two years the American politics industry fills the airwaves with the most virulent, scurrilous, wall-to-wall character assassination of nearly every political practitioner in the country - and then declares itself puzzled that America has lost trust in its politicians." -Charles Krauthammer metalinks Home Up One Level Home Site Guide ... Great Groups Visit ScanStore.com Paperless Office Systems from Meta Enterprises Our science section contains an authorative collection of books and links to fractal geometry and chaos-related material. Other categories primarily contain popular science and scientific philosophy. Sites with connections to chaos theory are emphasized. Books on Science (46) Related Categories (29 Items) The buzz over fractals and chaos is due to their unique ability to resolve the disparity between science and religion in those who study them. By harmonizing beauty, symmetry, simplicity and complexity, fractals allow us to see the infinite in science. Psychology (41 Items) Our psychology section reflects our attempts to resolve the conflicts caused by mind/brain dualism. This is necessary to sufficiently envision the spirit within the material brain, and subsequently open our morality to the principles of self-correction.

57. 0.3 Links To The Chaos Hypertextbook™ This page is a part of The chaos Hypertextbook, A four chapter book, Science/Math/chaos and fractals Science/Math/chaos and fractals/chaos http://hypertextbook.com/chaos/links.shtml

Prefaces The Chaos Hypertextbook Fair Use Encouraged prev index next 515 Chaos , BUBL LINK, Strathclyde University Abilene Christian University Library Reference About The Chaos Hypertextbook , A Learning in Motion Top Ten Selection About "The Chaos Hypertextbook" , The Math Forum at Drexel University About the School: Maths Resources - Links , University of Birmingham ACU Library Reference , Abilene Christian University Amara's Science Links , Amara Graps Amatuer [sic] Mathematics Analisi Numerica Applied Dynamical Systems , Allan P. Fordy, University of Leeds Astrophysics , Todd BCPL Physics Center , Bensenville [Illinois] Community Public Library beauty california college in (I have no idea what this website is about) Bio NB 441 HW 2 , Computing for Neurobiology, Cornell University Biotechnology Information Directory - Information Sources , Cato Research Bob's Fractal Links , by Bob I assume Bookmarks for Daniele Mancini Bookmarks for Gustav Nelhans Bookmarks for Jamie Cromartie , Richard Stockton College Bookmarks for James Kay , University of Waterloo Bookmarks for Pekka Orponen Bookmarks for Peter Yoachim , University of Washington BorderLink Project: Academic Success Resources Bridge Program for Math and Science: Fractals and Chaos , University of the South Busse Library - Virtual Mathematics , Mount Mercy College Cardinal Cushing Library Mathematics , Emmanuel College Chaos , Glossary of Terms Used in Time Series Analysis of Cardiovascular Data, Centro di Bioingegneria The Chaos Hypertextbook by Glenn Elert is the best web page I've found on Chaos , Chris Hartman, University of Alaska Fairbanks

58. Dynamical Systems And Technology Project at this site for use in teaching ideas concerning chaos and fractals. Play the chaos game; explore iterated function systems; and make fractal http://math.bu.edu/DYSYS/dysys.html

Dancing Triangles The Dynamical Systems and Technology Project at Boston University Zooming Sierpinski This project is a National Science Foundation sponsored project designed to help secondary school and college teachers of mathematics bring contemporary topics in mathematics (chaos, fractals, dynamics) into the classroom, and to show them how to use technology effectively in this process. At this point, there are a number of Java applets available at this site for use in teaching ideas concerning chaos and fractals. There are also several interactive papers designed to help teachers and students understand the mathematics behind such topics as iteration, fractals, iterated function systems (the chaos game), and the Mandelbrot and Julia sets. Available at this site: JAVA Applets for chaos and fractals Play the chaos game; explore iterated function systems; and make fractal movies, like the Dancing Triangles and Zooming Sierpinski above, all at your own computer. These applets are now up and running! The Mandelbrot Set Explorer This is an interactive site designed to teach the mathematics behind the Mandelbrot and Julia sets. It consists of a series of tours in which you will discover some of the incredibly interesting and beautiful mathematics behind these images. The site is designed to be used by readers of

59. Fractals This Theme Page has links to information about fractals. chaos Club Educational resources, online games and message chat areas for students and http://www.cln.org/themes/fractals.html

Fractals Theme Page This "Theme Page" has links to information about Fractals. Students and teachers will find curricular resources (information, content...) to help them learn about this topic. In addition, there are also links to instructional materials (lesson plans) which will help teachers provide instruction in this theme. Please read our An Internet Fractal Lesson To study fractals using World Wide Web and generating your own f ractal. (Grades 7-12) Chaos Club Educational resources, online games and message chat areas for students and teachers exploring fractals. Be sure to check out the "tutorial" for a unit by Cynthia Lanius in which elementary and middle students utilize online resources to study properties of fractals either independently or with a teacher. Lessons can be downloaded and printed. Explorer The Explorer is a collection of information on educational resources (instructional software, lab activities, lesson plans, student created materials ...) that K-12 mathematics and science educators can download. Enter "Fractals" in the search engine and you'll see about a dozen resources. Exploring Fractals This site for secondary students explores several aspects of fractals. After an introduction to fractals, the author explores assigning dimensions, both non-integer and integer, and several ways of generating fractals.

60. Read This: Fractals And Chaos The MAA Online book review column review of fractals and chaos The Mandelbrot Set and Beyond, She is also interested in the teaching of mathematics. http://www.maa.org/reviews/fractalsandchaos.html

Search MAA Online MAA Home Read This! The MAA Online book review column Fractals and Chaos: The Mandelbrot Set and Beyond by Benoit B. Mandelbrot Reviewed by Mihaela Poplicher This book contains early papers by Benoit Mandelbrot, as well as additional chapters describing the historical background and context. The material is grouped under five topics: I Quadratic Julia and Mandelbrot Sets II Nonquadratic Rational Dynamics III Iterated Nonlinear Function Systems and the Fractal Limit Sets of Kleinian Groups IV Multifractal Invariant Measures V Background and History Most of the papers included have been published before, beginning with the early 1980s until 2003, but there a few new ones. The work included in this book, "Selecta Volume C" was done by Mandelbrot while he was working at the IBM T. J. Watson Research Center and at Yale University. The book is dedicated to the memory of the author's uncle, Szolem Mandelbrojt, himself a mathematician who greatly influenced his nephew Benoit. The book also includes many illustrations, some of them very easily recognizable. In his Foreword , Professor Peter W. Jones of Yale University notes: "It is only twenty-three years since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot set. The graphics available at that time seem primitive today, and Mandelbrot's working drafts were even harder to interpret. But how that picture has changed our views of the mathematical and physical universe!" And later: "What we see in this book is a glimpse of how Mandelbrot helped change our way of looking at the world. It is not just a book about a particular class of problems; it also contains a view on how to approach the mathematical and physical universe."

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