Dynamical Systems And Technology Project topics in mathematics (chaos, fractals, dynamics) into the classroom teaching ideas concerning chaos and fractals. There are also site designed to teach the mathematics behind the http://math.bu.edu/DYSYS
Extractions: 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. 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
Extractions: Learning Fractal Geometry "The difference between death and taxes is that death doesn't get worse every time Congress meets. " -Will Rogers Book Search at bottom of page. Submit books in bottom-level categories. metastore Home Up One Level Home metasearch ... People that Get It metasearch Everything meta Fractal Liberty Business Drugs Skeptic Psych Spirit 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)
Untitled Document this unit include Interactive Mathematics Infinite Windows, fractals A Tool activities, Iteration A Tool Kit of Dynamic activities, and chaos A Tool http://whiteaker.salkeiz.k12.or.us/math/enrichmentalg.html
Extractions: Enrichment Algebra Topics and Resources Thought Provokers: Problem solving: A broad set of strategies is explored, developed, and discussed using the text Problem Solving Strategies: Crossing the River with Dogs. This text was designed for the student who has successfully completed Algebra 1. It offers a wealth of problem solving practice in addition to teaching the art of problem solving. Algebra review and extension: A review of Algebra I curriculum and a deeper look at many topics within is explored and developed using the text Glencoe Algebra 2. Rather than teach the Algebra II curriculum early, I use only parts of chapters 1-6 but take a deeper look at each topic. Most of these students, gifted thought they may be, need much review and practice to really master the Algebra I skills. Be presenting it in a new text and focusing on novel applications, the students see the lessons as new challenges. If the students have not done so in Algebra I Theory, Enrichment is the perfect course for implementing the mobile project and linear functions project from the district performance task pool. Applied Data Analysis: A detailed look at elementary statistics is explored using Interactive Mathematics: Quality Control. Students review measures of central tendency and learn new measures of variation including standard deviation. A catapult project from Glencoe Algebra 2 culminates this unit.
Mathematics Resources For Educators Grades 49 Math 7. Frisbie Middle School activities for teaching History, examples, applications and links on chaos and chaos Theory fractals What is a http://falcon.jmu.edu/~ramseyil/math.htm
Extractions: Mathematics Resources K-12 Welcome to the Internet School Library Media Center mathematics page. You will find mathematics history, organizations, puzzles and games, tutorials, lesson plans, math education and more on this page. Separate pages are devoted to geometry algebra calculus statistics . Be sure to preview all categories to find information you need since content will be distributed across different categories. You can search this site, use an index or sitemap
BSU 96-98 Graduate Math Course Descriptions Presents and analyzes mathematical activities, models, games, and related background material that can be used 540 INTRODUCTION TO fractals chaos (4 credits http://www.bemidjistate.edu/BSUCatalog/GRADCATALOG/MATH/Courses.html
Extractions: BSU Catalog Home Undergraduate Math Program All-University Courses and Descriptions (MATH) College-Program Codes: 17-10 Unless otherwise specified, the prerequisite for the graduate courses in mathematics is an undergraduate major in mathematics or MATH 520 or equivalent. 500 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. 501 MATH MODELS, GAMES, AND ACTIVITIES FOR THE INTERMEDIATE GRADES (2 credits). For teachers for 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. 502 MATH MODELS, GAMES, AND ACTIVITIES FOR ELEMENTARY CLASSROOMS (4 credits). An intensive introduction to activities, models, projects, and ideas needed to effectively teach using contemporary text materials. Materials usable at every ability level will be included. Prerequisite: Teaching experience or consent of instructor.
BSU 2000-02 Graduate Mathematics Course Descriptions FOR THE SECONDARY CLASSROOM (3 credits) Presents and analyzes mathematical activities, models, games, and 5440 INTRODUCTION TO fractals AND chaos (3 credits http://www.bemidjistate.edu/Catalog/00precatalog/GradCatalog/Math/courses.html
Extractions: Mathematics (MATH) College-Program Codes: 7-10 Unless otherwise specified, the prerequisite for the graduate courses in mathematics is an undergraduate major in mathematics or MATH 5210 or equivalent. 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
Law And Disorder: The New Science Of Chaos The philosophic implications of the new chaos theories and the basic laws of fractals and chaos attractors For more on fractals and chaos visit the School of a set of two or more activities . http://www.lawsofwisdom.com/LawsofWisdom/chapter6.html
Extractions: The outer world can often seem as chaotic as our inner world - our stream of consciousness. Coherence can all too easily elude us. We usually experience a convoluted flow of happenings and events. The fragmented, fractal nature of everyday reality, and people, is one of our basic problems. To use thinking to sort things out - to start making sense of it all - we must first find the basic structure to reality. The structure reveals the order underneath the chaos. We have seen the fourfold nature of consciousness; the laws concerning the four functions and four brain waves. An equivalent fourfold law applies in the material world. This was recently discovered by scientists working in the new field of Chaos. They found that seemingly-chaotic, lawless actions in the outer world actually followed a hidden order. The order they discovered was fourfold. They found that all outer phenomena are governed by what they call the four "attractors". The attractors are forces which bring order out of disorder. They are called the point attractor, the cycle or circuit attractor, the torus attractor and the strange attractor. The attractors are in accord with the four functions: torus-sensing; cycle-thinking; point-feeling and strange-willing. They form a basic Constitutional Law of the outer world of nature.
WTHS IMC Math math ideas to classrooms through interactive activities. with over 500 pictures chaos, fractals and Arcadia an explanation of fractals Mathematical Art of MC http://www.wtps.org/wths/imc/SubjectSites/math.htm
WWNFF Teacher Outreach dynamical systems, data analysis, fractals, and chaos. and Escher art, geometric designs, fractals, soap bubble The activities focus on the integration of http://www.woodrow.org/teachers/outreach/math.html
Extractions: 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.
AMTRAK RESERVATIONS AND MAPQUEST This game is similar to chaos, except the points are http//www.shodor.org/interactivate/activities/gasket/. http//math.rice.edu/~lanius/fractals/sierjava.html. http://www.arches.uga.edu/~eglazer/greenwood/chaos.htm
Extractions: THE GAME OF CHAOS URL ADDRESS: http://www.mgw.dinet.de/physik/ChaosSpiel/ChaosEnglish.html SITE SUMMARY: This Java based game uses chaos theory to generate the Sierpinskis Triangle. Play begins with a point placed inside a triangle, and the user simulates a die toss. Depending on the result of the toss, a new point will be constructed halfway between the original point and one of the triangles vertices. The process continues until the points start forming a pattern. This exploration can be used to discuss chaos, fractals, probability, and similarity. TOPICS: chaos, fractals, similarity, area of triangle, Sierpinski triangle, probability SUGGESTED LEVELS: geometry (questions 1-4), probability (questions 1-3) DISCUSSION QUESTIONS AND ACTIVITIES 1. Play the game where you have plenty of time. This feature will roll the die one by one. Roll the die several times by clicking on the screen. Describe how the points are being placed on the screen. 2. Go back to the initial page and play the game where you have little time (this means you will be running 100 trials for each click). Click on the screen until you have a total of 2000 rolls. Describe the pattern you see. Start a new game, but start at a point far away from the starting point in your other game. Describe any similarities and differences in the results. 3. Why is the random distribution of points creating this image? Does it matter where you start in the triangle? What happens if you start on the triangle?
Karen L. Shuman Teaching Interests In finite mathematics, I used pairs activities in which partners could practice new learning workshops, one on graph theory and one on fractals and chaos. http://www.math.uiuc.edu/~kshuman/teachingindex.html
Extractions: VIGRE Research Assistant Professor, UIUC, 2000-2002 After teaching three classes at UIUC using a traditional lecture format (Math 384 and Math 361), I decided to experiment with including active learning activities in my classes every day. To see recent examples of active learning exercises I have created and used in my classes at UIUC, see the following links: A typical day in a class such as Math 247 or Math 308 consisted of a short lecture and a long activity or a longer lecture and a short activity. In Math 285, my students used the Calculus and Mathematica courseware, and students spent almost every day interacting with mathematics problems on the computer. My class sizes at UIUC ranged from 8 to 52, and many of my students were engineers or mathematics majors, except in Math 308, where all the students were future actuaries. Mathematics 247 , Honors SectionFundamental Mathematics. Math 247 is a bridge course to rigorous mathematical thought focusing on problem-solving and proof-writing. Mathematics 285 Differential Equations with Calculus and Mathematica . Go to Syllabi, then Math 285 for a syllabus for this course. The course web page is password-protected.
Blank based on the new textbook fractals and chaos Simplified for the Life enhanced by Internet online materials including lecture notes, activities, and online http://www.ccs.fau.edu/~liebovitch/mat1932-1.html
Extractions: This course can be used towards satisfying: Description: This course will use the mathematics of fractals to help understand concepts in physics, chemistry and biology. It will use different approaches to learning, including: lectures, in-class exercises, web electronic materials, discovery computer exercises, and videotapes. The idea of the course is to teach concepts of mathematics, what math really is, and to illustrate those concepts with real scientific applications. It is intended primarily to expand the math-science knowledge of students training to be pre-college teachers or psychologists. This is a new, innovative and highly unusual course:
Larry S. Liebovitch science together; based on the new textbook fractals and chaos Simplified for by Internet online materials including lecture notes, activities, and online http://www.ccs.fau.edu/~liebovitch/larry.html
Teachers Empowering Teachers and Congruence Cabri Construction activities - Sketchpad Transformations and Math and Algebra1 Visualizing Quadratics chaos and fractals Linear Functions http://thales.cica.es/icme8/wgtg/tg19/allen/allen.poster2.html
Extractions: The central aim of the project is three-fold: to help teachers integrate and use manipulatives, computer software, and calculator technology to make the teaching and learning of secondary school geometry an engaging, dynamic, inquiry oriented activity consistent with the recommendations of the NCTM Curriculum and Evaluation Standards to use their work with geometry as a springboard for vertically integrating geometric and visual methods and techniques into other courses that they teach in the secondary mathematics curriculum; and to engage and assist in efforts that will help transfer the project work to the classrooms of their district and regional colleagues. Project Philosophy.
Math Interactive Workshops -- Workshop #8 Finally, we will touch on the connection between fractals and chaos, and see is the use of a variety of media paper and pencil activities, concrete models http://www.learner.org/channel/workshops/math/work_8.html
Extractions: The advent of new technologies in the mathematics classroom is rapidly changing how, what, and when we teach. Not only do higher-level mathematics become accessible to students at a younger age, but new and fascinating worlds of mathematics can open up to them - in their own classrooms - thanks to the power of computers. We will examine two new mathematical tools, recursion and iteration, and introduce a new geometry, Fractal Geometry, which complements the much older and more familiar Euclidean Geometry. Whom do we see? What happens in the videoclips? We will see many amazing and beautiful things in this workshop. First we will see three different approaches to the creation of a famous fractal, the Sierpinski Triangle. Second, we will see multiple representations of fractals: fractals on paper, on a computer monitor, in nature, and built with manipulatives. Finally, we will touch on the connection between fractals and chaos, and see how beautifully patterned shapes can result from "chaotic" systems. What issues does this workshop address?
Helpful Links: Math--Homeschool Christian.com links for math including these subtitles general, fractals, geometry, history, chaos complexity Includes stories, activities, exercises, and tutorials http://www.homeschoolchristian.com/Links/Math/
Extractions: Helpful LinksMath Note: Although you may see links highlighted in a certain category, such as geometry, one site may cover many areas of math. Curriculum Providers Key Curriculum Press Award winning math publisher produces math textbooks and the "Key To..." books. Math-U-See A math curriculum based on the use of manipulatives that is gaining popularity within homeschooling. The videos are a great help. The slogan "Build, Say, Write" is the theme throughout, pointing out that the children need to understand what they are doing before they do any worksheets. Be sure to see our interview Modern Curriculum Press Makers of math and phonics books. The Phonics books are also known as the "Plaid books." Saxon Math Not only does this site tell you about their products, but there is an online placement test as well as some helpful interactive drill programs to be used while on-line. Silver Burdett Ginn Mathematics Publisher of math textbooks, this Web site has information as well as Internet activities for kids and printable worksheets.
MAE4350 Math Links and more! Investigating Patterns Symmetry and Tessellations Many Ideas activities. Educate Work? fractals and chaos Links Geometry. http://www.netrox.net/~labush/mae4350.htm
Teacher Links Online Tool. CanTeach Numbers Games activities Ideas. The Mandelbrot Set fractals. A fractals Unit Elementary and Middle School. chaos Fractal Arts Illustrations http://www.netrox.net/~labush/tchlinks.html
Title Page teacher should act as a coach and motivator in many of the activities. will be introduced to different careers and fields that involve chaos and fractals. http://users.etown.edu/j/johnsonj/EdUnitPlan.htm
Extractions: Setting: This unit is designed to be used in middle or high-level ninth and tenth grade Algebra II or Geometry classes. Ideally, this unit should be taught in a financially well-supported school with a computer lab and the capability to project output from a computer onto a projector screen for instruction. For this reason, this unit would probably be best adaptable to average sized or larger suburban schools. The material in the unit is most useful to those students that have access to technology and who plan to pursue a post-secondary education. Therefore, middle to upper class students would be benefited most. This unit is most appreciated by schools whose math department is willing to expand the curriculum and use creative ways to get mathematical ideas through to the students. The duration of the complete unit is about 10 days; however, it can easily be broken up into sub-units, each requiring 1-3 days to complete if the time is not available. Time is a concern regarding this unit because it would be a supplementary unit in most schools.
NETS For Students for the classroom Introduction to fractals and chaos. fractals for the classroom Complex systems and Spreadsheet activities in middle school mathematics (2nd http://cnets.iste.org/students/s_rbooks.html
Extractions: Books, Videos, CD-ROMs, and Audiotapes The following resource books, videos, CD-ROMs, and audiotapes from the NETS partners and curriculum organizations are organized by curriculum area technology or software , and technology implementation (ie., planning, evaluating, funding, etc.). Curriculum GENERAL Association for Supervision and Curriculum Development. (1995). How technology is transforming teaching [Special issue]. Educational Leadership, 53 (2).
