1. Infinite Fractal Loop How do I use the Loop? What are fractals? How can I create fractals? More information about fractals About the Infinite Fractal Loop http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. Fractalus (Fractals/Fractal Art, Contests, And Info) Megasite dedicated to fractals. Artist Damien Jones, other artists, contests. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Sprott's Fractal Gallery Daily updated gallery of automatically created fractals. Fractal generating software. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. Cynthia Lanius' Lessons A Fractals Lesson - Introduction Mathematics lessons for elementary school, middle school fractals, fractals, fractals http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. What Is A Fractal? When I first got the idea to learn about fractals, my impression, which may be similar to yours, was that it was a very advanced level of study and http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Fractal Gallery What Is A Fractal? LarvasLeaf (105 k/ jpg) Fractals show us that the simplest engines of change often produce exquisitely elaborate patterns. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Ultra Fractal Advanced Fractal Software Color your fractals and add transparency effects Compose fractals with multiple layers, masks, and Photoshoplike merge modes http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Spanky Welcome The Spanky Fractal Database is a collection of programs, images, and other material all relating to the subject of Fractals http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. The Fractal Artists' Webring - Art. Not Dogma. Fractal Fun NEW! Fractals by Dekaro NEW! Perspix Fractals NEW! Fractals by Dekaro NEW! Perspix Fractals NEW! Beyond the Zero NEW! http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Authorization Failure Galleries, puzzles, and screen savers. Javascript and Java enabled browsers required. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Math teach ALL Students the Multiplication Facts Games activities Worksheets. Maths File BBC Education fractals and chaos Links Geometry. The Pop vs. http://www.netrox.net/~labush/math.htm

Dr. Labush's Links To Learning Teachers Students Math For Everyone MATH IS FUN ... AND WHO CAN DOUBT IT ... IF WE HAVE ... NO DOUBT ABOUT IT ! Online Games and Activities Early Learning Activities Challenges A Little Fun ... Companies Online Games and Activities Gamequarium Math Games Library of Virtual Manipulatives Interactive Mathematics Harcourt School Publishers The Learning Site An Amusement Park of Math Number Line Jumper Easy to Hard May use negatives Count On! Online Math Activities LOTS to Do All Levels The ArithmAttack Great Math Facts Challenge Create a Graph Use your Data Aplusmath.com Games Add Subtract Multiply Divide Coolmath.com An amusement park of mathematics... and more! Math Flash Cards Easy and Difficult Math FunBrain.com Many Games Mrnussbaum.com - Games Many Games Many Levels Math League Help Topics Gr. 4 - 8 Math Baseball Number Guessing Game Factor Tree Multiple Counting Practice ... Math Cats Explore Games Activities Fun Mathematics Lessons by Cynthia Lanius Count Hoot's Number Activity Add Subtract Gr. 1-2 Probability Perform an Experiment Using Dice Spinner Probability Experiment Math Basketball Gr.3 - 8

12. LAU | Teacher Training Institute: Workshops 2005 Program “Iteration, fractals and chaos A Workshop of Dynamical activities” This is a workshop aimed at helping teachers to teach the literary aspects of http://www.lau.edu.lb/centers-institutes/tti/200502/workshops.html

@import "../tti-screen.css"; Teacher Training Institute 12th Annual Workshops: Program Language teaching is not only teaching the main skills and subskills in a serious and formal manner. This workhsop shows a fun way of teaching and learning language by exploring oxymorons, puns, palindromes, synonyms, antonyms, homonyms, hyponyms, meronyms and others. Reading comprehension need not be one of the dullest, most boring, or challenging subjects. The workshop offers the regular teacher a host of strategies that not only improve comprehension, but helps students improve their listening skills through interactive and entertaining activities that can be adapted to any level. This workshop explores a non-traditional approach to classroom testing. From the regular pen and paper tests to performance and portfolio assessments, the presenters guide the participants in preparing their own non-traditional tests and assess their students accordingly. Practical chemical applications that educate and make learning chemistry more fun. In this workshop, participants are introduced to ways teachers can use to create caring, positive classroom environments while minimizing aggression, bullying and other undesirable behaviors. Participants will first identify common discipline problems and incidences of bullying in the Lebanese teaching context. They will then explore the factors in the classroom environment that can either hinder or foster the development of caring and positive interpersonal relations. A rubric is presented for rating the level of caring in the classroom, and consultation as a problem solving and conflict resolution tool is introduced.

13. LAU | Teacher Training Workshops: Application Fun Strategies to teach Reading Comprehension and Metacognitive Skills (LL 60000) Iteration, fractals and chaos A Workshop of Dynamical activities (LL http://www.lau.edu.lb/centers-institutes/tti/200502/application.html

@import "../tti-screen.css"; Teacher Training Institute 12th Annual Workshops: Application The deadline for registration is February 18, 2005. Name: Email address: Telephone: Occupation: Educational background: Name of school: Kindly check the workshop(s) you wish to attend. (L.L. 60,000) (L.L. 60,000) Having Fun with the English Language: Oxymorons, Puns, and Others. (L.L. 60,000) (L.L. 60,000) Story-Based Instruction for Language and Academic Literacy (L.L. 60,000) Fun Strategies to Teach Reading Comprehension and Metacognitive Skills (L.L. 60,000) Formal vs Informal Testing (L.L. 60,000) Chemistry Demonstrations and the Fun of Teaching (L.L. 70,000) (L.L. 60,000) User Peer-Editing to Improve Writing in the Language Classroom (L.L. 60,000) Creating a Caring Classroom Community (L.L. 60,000) Spelling for Students with Learning Difficulties (L.L. 60,000) (L.L. 60,000) Critical Thinking in the Elementary Classroom (L.L. 60,000) Content-Based Approach (L.L. 60,000) Development of Cartoon Films and Language Acquisition (L.L. 180,000) Creative Conflict Resolution Activities for Children (L.L. 60,000)

14. BSU 2002-04 Graduate Mathematics Course Descriptions to activities, models, projects, and ideas needed to effectively teach 5440 INTRODUCTION TO fractals AND chaos (3 credits) An introduction into the http://www.bemidjistate.edu/Catalog/02catalog/GradCatalog/Math/courses.html

BSU Catalog Home Graduate Mathematics Program All-University Courses and Descriptions Graduate Course Offerings Mathematics (MATH) College-Program Codes: 7-10 NOTE: Please see your advisor regarding course sequencing and any expected preparation. 5010 MATHEMATICS FOR PRE-K TO GRADE 3 (3 credits) Students gain understanding of appropriate mathematics and pedagogy for young children from pre-K through the primary grades. 5050 MATH MODELS, GAMES, AND ACTIVITIES FOR THE PRIMARY GRADES (2 credits) For teachers of grades K-3. Mathematical background including teaching-aids, games, projects, and activities that relate to the primary level will be presented. The basic mathematical operations will be presented from a "concrete" standpoint. Set theory, numeration, and the systems of whole numbers and rational numbers will be considered. Prerequisite: Teaching experience or consent of instructor. 5051 MATH MODELS, GAMES, AND ACTIVITIES FOR THE INTERMEDIATE GRADES (2 credits) For teachers of grades 3-6. Mathematical background including teaching-aids, games, projects, and activities that relate to the intermediate level will be presented. The basic mathematical operations will be presented from a "concrete" standpoint. The systems of integers, rational numbers, and real numbers; ratio and proportion; percentiles; and elementary functions will be considered. Prerequisite: Teaching experience or consent of instructor. 5052 MATH MODELS, GAMES, AND ACTIVITIES FOR THE ELEMENTARY CLASSROOM

15. Chaos And Fractal Geometry Tutorials And/or Resources For Teaching Chaos. They H Lessons, games, activities, demonstrations and software, all related to fractals and chaos. Introduction to Mathematical chaos Theory and Fractal Geometry http://metalinks.metaculture.net/science/fractal/learning/default.asp

Learning Fractal Geometry "When I can no longer bear to think of the victims of broken homes, I begin to think of the victims of intact ones." -Peter De Vries metalinks 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. Books on Learning Fractal Geometry (22) 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.

16. The Teacher's Aide: Mathematics Math Lessons, chaos fractals. Math History, Other Math Resources Helping Your Child Learn Math activities for children ages 5 to 13. http://www.aloha.net/~bry/teaching/math.html

MENU Welcome News Submissions Contents: ... Language Arts Mathematics Science Social Studies General Teaching Back to the top ... Back to the top Mathematics Math Lessons Math History Other Math Resources Last updated: December 12, 1999 Math Lessons Education World Finally ...a searchable database of education sites (like Yahoo, except geared for education). Eisenhower National Clearinghouse This is, in their own words, "the information source for K-12 math and science teachers." They don't exaggerate. Explorer Lessons and resources broken down by topics, offered partly by the University of Kansas. Helping Your Child Learn Math Activities for children ages 5 to 13. Homepage for New Math Teachers A great resource for those just starting out. Lessons, hints, resources, and links. Math Goodies "Interactive math lessons with a problem-solving approach." Also has puzzles, homework help, and chat. Mathematics Archives A really big collection of resources for math teachers - journals, software, links, ....and a bunch more. MEGA-Mathematics (From the Los Alamos National Laboratory) These people know what mathematics is... activities, puzzles, games, and problems that will either make you smile or make your head spin. Teachers Helping Teachers: Math Ready-to-use lessons submitted by actual teachers.

17. WWNFF Teacher Outreach dynamical systems, data analysis, fractals, and chaos. The nstitute. s activities model a learning environment, teaching approach, and curriculum http://www.woodrow.org/teachers/outreach/math.html

2000 TORCH Workshop Descriptions Math Algebra Contact David Heckman for more information You are invited to experience with us an introduction to Algebra for the 21st century. Transportation will be provided by manipulatives, graphing calculators, computer algebra systems, and spreadsheets. Pedagogical strategies modeled include cooperative learning, writing across the curriculum, inquiry- and discovery-based learning and real-world modeling. Technology demonstrations include applications of graphing calculators and calculator based laboratories. Computer algebra systems and graphing spreadsheets will augment this excursion. Hand-held Technology: TI-80,-81,82,-83,-92 and CBL Computer Needs: Change Contact Allen E. Martin

18. Fractals In The Schools a rich curriculum of teaching materials, fractal activities and custom software Show kids that Nature is full of fractals, teach kids how to explore http://www.fractalfoundation.org/schooltours.html

We are creating an educational program to teach kids about fractals and chaos theory. For several years, Jonathan Wolfe and Jonathan Leavitt have been giving informal fractal presentations in schools, ranging from kindergarten classes at Alameda Elementary School to the University of New Mexico Honors Program. It is always amazing to see how receptive and excited the children are when they see fractals for the first time, and they realize that what they are seeing is the beauty of math. Suddenly math transforms from something hard, boring, and useless into a fun, exciting, and magical realm to explore. We have seen it work again and again. We plan to do this on a large enough scale as to have a measurable positive impact on the science and math test scores of the classes we present to. Photo by Carole Devillers We are currently developing a rich curriculum of teaching materials, fractal activities and custom software for kids at several levels. Show kids that Nature is full of fractals, teach kids how to explore fractals by themselves with a computer, and suddenly we have a classroom of little mathematicians. Photo by Carole Devillers Having learned how to create beautiful fractals of their own, the kids will be invited to participate in our Annual Fractal Design Contest. Each class will choose their favorite student-created image and submit it to the Foundation. These will all be featured in a gallery on this website, and the class that produces the finest of these images will receive a prize of a model balloon, printed with their fractal design.

19. Read This: Fractals, Graphics, And Mathematics Education The mathematics of chaos and fractals is at once accessible, alluring, Involving handson, cooperative activities and explorations in fractal geometry, http://www.maa.org/reviews/fractalsmathed.html

Search MAA Online MAA Home Read This! The MAA Online book review column Fractals, Graphics, and Mathematics Education by M. L. Frame and B. B. Mandelbrot Reviewed by George Ashline In the past two decades since Benoit Mandelbrot wrote Fractal Geometry of Nature (Freeman, 1982), fractals have grown in popularity and arisen in many contexts and forms in the mathematical, natural, and even social sciences. Some of the foundational ideas for this field can be traced back to the research of Pierre Fatou and Gaston Julia , who wrote important papers on the iteration theory of rational functions in the early twentieth century. Mandelbrot's pioneering work has brought fractal geometry to the fore and energized a new area of mathematics education. Creating a language for the study of "roughness" and developing the associated computer graphics, he provided the general theory for fractals, which offer new insights into understanding many aspects of Nature and the world around us. This is evidenced in such diverse examples as an island coastline or paper folding patterns or even a cauliflower head! Fractal geometry provides an accessible, interesting setting not only for mathematical research, but also for mathematics education, and there have been many curricular initiatives in this area. In addition to its impact on middle and secondary school mathematics, fractal geometry has influenced undergraduate mathematics, and has been the source for many undergraduate research efforts. For example, consider the programs for the

20. Teacher Education Materials Project (TE-MAT) : A Database For K-12 Professional fractals for the Classroom. Part 1, Introduction to fractals and chaos. The accompanying 128page strategic activities book was written to provide http://www.te-mat.org/record/0,6307,003500,00.shtm?mode=review

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