81. George Ashline, Mathematics, Saint Michael's College with nonlinear dynamics and chaos and discusses is through the freeware fractal generator Fractint and learning. Lesson plans and activities in mathematics http://academics.smcvt.edu/gashline/

George Ashline Depart me nt of Mathematics Saint Michael's College Colchester Vermont USA You can find below so me information about my current classes other classes I have taught my papers , and ways to reach me . I have also compiled links in a number of areas in which I am interested, including fractal geometry and chaos theory mathematics education the history of mathematics finite mathematics , and St. Michael's College Material for my Fall 2004 classes Calculus I, MA 109. Section A me ets M, W, and F from 8:30 to 9:20 AM in Jeanmarie 378, and T from to 9:30 AM in Jeanmarie A previous syllabus A previous Maple info sheet Copies of previous Maple labs: The first Maple lab The second Maple lab The third Maple lab The fourth Maple lab The fifth Maple lab The sixth Maple lab Calculus II MA Section A me ets M, W, and F from to 11:20 AM and Th from to 9:30 AM in Jeanmarie o A previous syllabus o A previous Maple info sheet Copies of previous Maple labs: The first introductory Maple lab The second Maple lab The third Maple lab The fourth Maple lab The fifth Maple lab The sixth Maple lab Complex Analysis

82. Teaching.htm University of Cantabria (Spain). Fractal and Multifractal Analysis. Chaotic Dynamical Systems. Control of chaos (15 hours). PreGraduate teaching activities. http://personales.unican.es/iglesias/Teaching.htm

Teaching activities Post-Graduate teaching courses Ph. D. Courses Master Courses Specialization Courses Other Courses ... Pre-Graduate Courses Post-Graduate teaching activities Ph. D. Courses Nonlinear Dynamics and the Fractal Geometry (30 hours). Contribution: 15 hours. Dpt. of Applied Mathematics and Computational Sciences. University of Cantabria (Spain). Computer-Aided Geometric Design (CAGD) (40 hours). Contribution: 10 hours. Dpt. of Applied Mathematics and Computational Sciences. University of Cantabria (Spain). Computer Graphics. Applications to Industry (30 hours). Contribution: 20 hours. Dpt. of Applied Mathematics and Computational Sciences. University of Cantabria (Spain). Computer-Aided Geometric Design (CAGD) (40 hours). Contribution: 10 hours. Dpt. of Applied Mathematics and Computational Sciences. University of Cantabria (Spain). Introduction to the Fractal Structures and Dynamical Systems (30 hours). Contribution: 15 hours. Dpt. of Applied Mathematics and Computational Sciences. University of Cantabria (Spain). Introduction to the Fractal Structures and Dynamical Systems (30 hours). Contribution: 15 hours. Dpt. of Applied Mathematics and Computational Sciences. University of Cantabria (Spain).

83. Venture Publishing - Graphing Calculator Books And More - New Items with the ideas of chaos theory and fractal geometry, supported of some of the applications of chaos theory in This new book contains 35 activities designed to http://www.vent-pub.com/newitems.html

graphing calculator resource books textbooks instructional videos software ... new items New in 2000 Using the TI-89 to Explore Algebra, Precalculus and Statistics The TI-89 is the first hand-held calculator that combines the features of a graphing calculator with computer algebra capabilities. The purpose of this book is to explain how and when to use the TI-89 graphing calculator in an algebra, precalculus or statistics course. The contents parallel that in Exploring Algebra, Precalculus and Statistics by Best, Penner and Schneider Statistics with the TI-89 Graphing Calculator An Introduction and More This is a compact statistical text, similar to the text Introduction to Statistics with the TI-83 Graphing Calculator by Robert Schneider and George Best, which covers both the fundamentals of statistics as well as several advanced topics. The TI-89 is used throughout the text to illustrate theory and as an important time and effort saving tool to perform statistical calculations and analyze data. The TI-89 instructions include a review of the basics for new users, information on using the new downloadable Stats/List Editor, and several calculator programs to perform simulations. Topics include: organizing data, basic probability concepts, probability distributions, sampling confidence intervals, tests of hypotheses, regression and correlation, analysis of variance, and Markov Processes.

84. Nutshell Notes as constructive chaos in which varied activities contain an the simple, elegant concept of the fractal pattern the order within our constructive chaos is not http://www.isu.edu/ctl/nutshells/old_nutshells/7_2.htm

http://www.cudenver.edu//OTE/nn/index.htm NUTSHELL NOTES "Teaching tips in a nutshell" - The University of Colorado at Denver's One-page Newsletter for Teaching Excellence 1250 14th St. Room 720 Denver, CO 80217-3364 Phone (303)556-4915 FAX (303)556-2678 Volume 7 Number 2 February, 1999 Building a Teaching System - 2: Teaching in Fractal Patterns In the last issue, we suggested that any syllabus is greatly improved if it is carefully based upon, and even includes critical excerpts from, the author's personal teaching philosophy. We concluded with the admonition to draft this philosophy, then to " paste it above your desk, and consult it before you start every lesson plan and before you go to each class session. Some see teaching as "constructive chaos" in which varied activities contain an underlying purpose that not all students (or peer reviewers) easily see as associated with our learning objectives. Yet, once directed to look beyond limited personal experience (and perhaps our superficial "common sense"), it is possible to see "order in chaos" clearly and wonder why it wasn't seen earlier. About ten years ago, the concept of fractals and implications of "chaos theory" reached the layperson via several popular books. Through them we learned to see order in natural objects such as clouds, trees or coastlines, which we formerly had considered as "irregular," "random" or as having no order. An example might be a winter view of a tree with its outline of leafless branches. At first it looks complex and devoid of order, but we also can see it as built of a variant of the letter "Y" connected repeatedly at different scales. Whether we view the entire tree, a branch, or the veins in a single leaf, the pattern is of the same kind no matter what scale we view it at. We recognize order in such shapes, and we now call such arrangements "fractal."

85. High School Mathematics chaos in the Classroom describes some easy topics involving ideas from fractal geometry Connected WWW resources, lesson plans, activities, software, Internet http://www.bcps.org/offices/lis/curric/high/math.html

General Resources Algebra Calculus Geometry ... Trigonometry General Resources Baltimore County Public Schools, Office of Mathematics ...mission, contact information, curriculum, programs, links of interest General Resources American Mathematical Society ...promotes mathematical research, increases the awareness of the value of mathematics to society, and fosters excellence in mathematics education. Ask Dr. Math ... a question and answer service for K-12 math students and teachers; a searchable archive is available by level and topic, together with a FAQ Calculators On-Line Center ...a collection of interactive calculators for math, including unit conversion, basic, complex math by specialty, and statistical calculators Eric's Treasure Trove of Scientific Biography ...searchable collection of brief biographies of scientists and mathematicians from all times and all places; includes some photos History of Mathematics (MacTutor...biographical, cultural, and topical information related to math throughout history

86. Teaching Websites hope. Once the hope is lost, you will not want to teach anymore. . Elementay schoollevel teacher resources, links and activities. Ideas http://www.geocities.com/Athens/8490/teach.html

Buys your books from Amazon. I Love Mathematics! I think, most people agree that it is more difficult to be a teacher nowadays. The children do not respect the teachers as we did. Besides, there are more temptations which distract the concentration of the children. After all, people think that study is not so important because even the university graduates cannot get a satisfactory job. They believe, education cannot secure our living anymore. Facing so many difficulties in this field, teachers need support to strenghten/keep their faith in the career. I remembered, when I left the old schhol, one colleagues told me "we are still teaching because we have hope. Once the hope is lost, you will not want to teach anymore." I have found some websites about teaching. Please have a look. You may find somthing useful. Secondary School Mathematics Primary School Mathematics Interesting Topics Mathematics Games ... Miscellaneous Sites Secondary School Mathematics Bamdad's Homepage (You can find math help here) Calculus Part I Demostration of cross product of vectors The Geometry Junkyard ... Visual Calculus Primary School Mathematics Ask CyberScout Elementary Mathematics Hazel's Homepage Elementay school-level teacher resources, links and activities.

87. EDUCATION PLANET - 136 Web Sites For +School +Equipment to explaining and demonstrating the science behind chaos theory and fractal images the site, you will find lessons, games, activities, demonstrations and http://www.educationplanet.com/search/Education/K-12/School_Administration/Schoo

All Grades Pre-K K-2 Higher Ed Search 100,000+ top educational sites, lessons and more! Home Education K-12 Found +School +Equipment ' Web Sites. Also for ' +School +Equipment 2221 Lesson Plans 2 Books 1 Video 3 Supplies Web Sites (1 - 10 of 136): McCants Elementary School - The Media Center is a focal point for McCants Elementary School. Aside from being the school library, it contains 7 networked information based computers, the network file server, lazerdisc equipment, videotape equipment and a videotape library. The netwo Grades: K-5 Cache Welcome to the Water Sciences Laboratory at the University of Nebraska-Lincoln - Part of the Water Center and School of Natural Resource Sciences in NU's Institute of Agriculture and Natural Resources, the Water Sciences Laboratory provides technical expertise and sophisticated analytical instrumentation for environmental and water re Grades: Higher Ed Cache THE MIDLAND RAILWAY HISTORICAL ASSOCIATION - The Midland Railway Historical Association obtains and restores railroad artifacts, equipment and facilities, and operates them as a demonstration historic railroad to educate the public about the role railroading played, and continues to play, in the com Grades: K-12 Cache The InterFACE Project - The InterFACE (Internet Fractal and Chaos Education) Project is dedicated to explaining and demonstrating the science behind chaos theory and fractal images. On the site, you will find lessons, games, activities, demonstrations and software, all related t

88. SPIRITUALITY AS EXPERIENCE experience at the edge of chaos of fractal inseparability of At the edge of chaos, free from the burden of the complexity and number of our activities in both http://www.zulenet.com/VladimirDimitrov/pages/spirituality.html

SPIRITUALITY AS EXPERIENCE AT THE EDGE OF CHAOS Bob Hodge and Vlad Dimitrov University of Western Sydney-Hawkesbury E-mail: B.Hodge@uws.edu.au V.Dimitrov@uws.edu.au Introduction Chaos theory considers the edge of chaos as a special region in the state space of nonlinear systems, where order and chaos meet to give birth to dramatic changes in systems' dynamics. It is a region where all established patterns dissolve their rigid boundaries and become permeable and fluid, able to coalesce and evolve, percolate and urge forward new emergent phenomena. In social systems the edge of chaos is where 'social magic' manifests. By 'social magic' Young means "appearance of events which do not follow logically and coherently from what has gone before"; social magic relates to happening of wondrous things "which surprise, astonish and bemuse those of us who are accustomed to orderly and routine consequences in every day life" [1]. Individual experience is full of such 'wondrous things' as our living is mostly at the edge of chaos - it neither unfolds as a sequence of orderly-organized patterns nor disintegrates into an entire chaos. At the edge of chaos, self-organizing capacity of complex life dynamics manifests its potential not only to sustain the integrity of each individual's life but also to support its unfolding. The unfolding of human life reflects the process of evolving of the whole universe. Both processes are like fractals nested within each other - they keep centered at one and the same spiritual core. The ability to experience the attracting power of this core we refer to human spirituality.

89. Scientific Computing World: Feature Articles observers, however, commonly underestimate the role of fringe activities in propelling toolkit, Rudy Rucker s CA Lab, and a fractal and chaos theory toy http://www.scientific-computing.com/scwjulaug02computer_gaming.html

home Subscribe for free news reviews ... about us COMPUTER GAMING Development through gaming Ray Girvan discovers that the race to create ever more real computer games is having a beneficial effect on scientific computing Given the importance nowadays of cellular automata across a wide range of scientific computing disciplines, it's easy in hindsight to dismiss as short-sighted the 1974 Time magazine article that complained of the 'millions of dollars of valuable computer time wasted' by enthusiasts of the first popular CA, John Conway's Game of Life. Mainstream observers, however, commonly underestimate the role of fringe activities in propelling science and technology. Well-known examples are how wars have fostered innovation in areas such as communications, cryptography, medicine and aerospace; and how erotica has been a major factor in pioneering visual media, from the first printed books to photography, cinematography, videotape, or the latest online video streaming. This article aims to be a sampler of a less controversial, but still often underrated, symbiosis between scientific computing and computing for leisure and entertainment. Cinema graphics are the most impressive example of cutting-edge computing applied to entertainment. It's not normally considered science, but a large and lucrative industry has developed around solving the essentially scientific problem of simulating the physical world, whatever the scale. At one extreme, the New Zealand company Weta Digital's crowd animation system, Massive, required terabytes of data to create the battle scenes in

90. MTH 930 P Workshop In Calculus tilings, interactive geometry center, articles, facts and figures, and activities. stunned by the awesome beauty of Fractal Geometry and chaos Theory. http://www.math.uri.edu/~eaton/930ass1king.htm

MTH 930 Discrete Math Summer II 2002 For Middle and High School Math Teachers Middle and High school math teachers explored the following web pages and gave their comments below. Group 1 NCTM Illuminations http://illuminations.nctm.org/pages/across.asp NCTM standards http://standards.nctm.org/previous/currevstds/ Rhode Island department of Ed http://www.ridoe.net Discrete Math games http://www.ship.edu/~deensl/pgss/games.html About Homework help, Discrete Math http://math.about.com/cs/discretemath/index.html Drexel Math Forum http://mathforum.org/students/high/ Group 2 Data Analysis and discrete math http://www.ucs.mun.ca/~mathed/Stats/introd1.htm Ask Dr Math http://mathforum.org/dr.math/ Math contest web sites http://www.nctm.org/ Connect http://www.co-nect.net/index.htm Interactive mathematics http://www.cut-the-knot.com/games.shtml Group 3 Discrete math problem of the week http://mathforum.org/dmpow/ Franklin Institute http://www.fi.edu/school/math2/index.html Mathematics contest web sites http://www.olemiss.edu/mathed/contests.htm Solving traveling salesman problems http://www.math.princeton.edu/tsp/

91. National And International courses have included Space Medicine/Research, Fractal Geometry/chaos, and Classical Maryland campus and participate in several activities in addition http://web.mit.edu/tbp/www/highschool/node3.html

Next: Northeast Region Up: A Guide to High Previous: Introduction Contents Subsections American Regions Mathematics League BEST Robotics Competition BattleBotsIQ Canada/USA Math Camp ... iD Tech Camps National and International American Regions Mathematics League Contact: http://www.rose-hulman.edu/ rickert/ARML/ Cost: N/A Dates/Length: depends on competition type, during the school year Criteria: teams must consist of high school students Application Deadline: N/A This competition is also designed to challenge students who enjoy mathematics to try to solve problem sets of challenging math problems with other students in their class in high school. Each team is given 45 minutes to complete the problem solutions in the Power competition. There are also team, individual, and relay competitions. Teams that do well on the first two problem sets can compete in the National competition. BEST Robotics Competition Contact: http://www.bestinc.org Cost: N/A Dates/Length: competitions usually in the month of November Criteria: high school student interested in engineering Application Deadline: N/A The BEST program is designed to teach teamwork, problem solving, project management, and pride in task completion within the constraints of a short time period and limited physical resources. Through partnerships of participating schools with corporate sponsors, youth teams are supported by mentors who serve as positive role models for the next generation of scientists, engineers, and technologists. The goal is to demonstrate the excitement of advanced technical careers to young people who are nearing decisions on college plans. Team membership is open to all interested students, and participation is without fee to the students or the schools.

92. Faculty At Evergreen Solar Energy, mathematical modeling, chaos and fractal geometry, and I want all of the information on the contract for the activities, their background http://www.evergreen.edu/faculty/interviews/coler.htm

Quick Links Apply to Evergreen About Evergreen Inside Evergreen Pick Your Program Academic Calendar Admissions Alumni Campus Calendar Campus Life Campus Tour Catalog Connections Directories Employment Enrollment Services Financial Aid Gateway Giving Housing Offices Registration Public Service Centers Student Services Studies Site Index Faculty Directory Faculty Teaching at Evergreen Faculty Interviews Faculty Sponsor Numbers (CRN's) Faculty by Subject Index Finding a Faculty Contract Sponsor Faculty Interviews Interview with Rob Cole Recent Teaching History The Olympic Peninsula: Salmon, Timber and Energy; 2000-2001; 1999-2000 Environmental Modeling; Spring 1999 Introduction to Natural Science/Foundations; Fall 1998/Winter 1999 Modeling Nature; 1997-98 Ecological Systems of Puget Sound; 1996-97 Introduction to Fractal Geometry and Chaos; Spring 1996 Introduction to Environmental Modeling; Fall 1995/Winter 1996

93. Understanding: The Power Of Genes - Activities (6-8, 9-12 - Life Sciences) measure and describe a fractal known as an algorithm for “The chaos Game.” Cloning Overview Vocabulary Questions Links activities Standards Order http://school.discovery.com/lessonplans/programs/powerofgenes/activities.html

sv = 13; The Role of DNA Evidence Have students read through newspapers or newsmagazines or watch television shows that contain stories of crimes that have been solved using DNA. Afterward, they can write a report that summarizes the crime and the role DNA played in capturing the criminal. Encourage students to use graphic organizers such as diagrams and charts to explain how the DNA evidence was used. Testing Science Fiction’s Predictions Ask students to read science fiction books or stories written before 1970, with cloning or genetic engineering as the main plot. Ask them to think about how the fictitious plots diverge from today’s scientific beliefs. Students can then write a book report comparing the science fiction with present-day technological advances. Invite students to get together with other interested classmates to create a compilation of their book reports. Family Traits Encourage students to survey their family members for different physical traits, such as eye and hair color, and behavior traits, such as novelty seeking. Remind students to record family responses and write a report about the survey results. Point out that they should be looking at trait similarities and differences within their family. They should also make a hypothesis on whether these similarities or differences might be due to genes or environment. Suggest that students use photos or drawings to illustrate and clarify their reports. The Chaos Game In this fascinating math challenge, students will try to measure and describe a fractal known as the Sierpinski triangle, and will also attempt to determine an algorithm for “The Chaos Game.”

94. The Math Forum - Math Library - Lesson Plans/Activities The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to Lesson Plans and activities . http://mathforum.com/library/resource_types/lesson_plans

Browse and Search the Library Home Resource Types Ed. Materials : Lesson Plans/Activities Library Home Search Full Table of Contents Suggest a Link ... Library Help Subcategories (see also All Sites in this category Collections Selected K12 Lesson Plans and Collections By Topic: Arithmetic Lesson Plans Collections Algebra Lesson Plans Collections Geometry Lesson Plans Collections Pre-Calculus Lesson Plans Collections Calculus Lesson Plans Collections Prob/Stat Lesson Plans Collections Discrete Math Lesson Plans Collections By Level: Elementary Lesson Plans Collections PreK-2 Lesson Plans Collections Lesson Plans Collections Middle School Lesson Plans Collections High School Lesson Plans Collections There are so many items in this category that we recommend using the keyword search and math topic or grade level menus to narrow down your results. All Sites - 1447 items found, showing 1 to 50 100 Percent! - Energy Conservation Enhancement Project What is Infiltration? Math objectives: 1. Define the term "percent." 2. Solve problems using percentages. Energy objectives: 1. Define infiltration. 2. Describe the major areas of infiltration in the home. An activity guide from the Energy Conservation ...more>> 100th Day of School Celebration - Loogootee Community Schools, Loogootee, Indiana

95. Ideas And Activities About.com's Homework Help. About.com provides a searchable collection of articles that can help students with their math homework as figuring out the angles of a right triangle. Foundation. The http://www.csun.edu/~vceed009/activities.html

Ideas and Activities About.com's Homework Help. About.com provides a searchable collection of articles that can help students with their math homework as figuring out the angles of a right triangle . The site, suitable for grades 3-12, also includes a library of useful Netlinks as well as Cathy Spalding's email service for your perplexing math questions. About Today's Date. About Today's Date, based on Richard Phillips' book Numbers: Facts, Figures , and Fiction , provides each day the history and trivia about the numbers in today's date. The site is suitable for grades 5-12. Academic Assistance Access. Academic Assistance Access offers free a tutoring service for high school students. The site, staffed by professionals in various fields, answers questions in calculus as well as in American history and the sciences. Academic Assistance Center Home Page. The Teachers and staff of AOL's Academic Assistance Center provide link access to their favorite or best information sites for grades K-12. To visit the math room, click here a teacher and a student guide to mathematics to mathematics for grades K-12.

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