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Computer Algebra Systems

  • Calculus & Mathematica Course
  • A computer-based calculus course that includes a complete electronic text combined with a set of problems for students to do, a syllabus, an annotated example with pedagogy, and a calculus lab.
    http://www-cm.math.uiuc.edu/
  • Calculus, Concepts, Computers, & Cooperative Learning (C4L)
    A pedagogical approach based on a constructivist theoretical perspective of how mathematics is learned. A critical aspect of the approach is a decomposition of each mathematical concept into developmental steps.
    http://www.math.purdue.edu/~ccc/
  • calculus@internet
    An interactive WWW server at San Joaquin Delta College, Stockton, CA that integrates a common curriculum backbone with links to various computer algebra systems (Theorist, Maple, Mathematica, and others planned) which can be launched automatically by your WWW reader. Math curriculum areas: Precalculus; Differential Calculus; Integral Calculus; Calculus II; Vector Calculus; Differential Equations; Linear Algebra.
    http://www.calculus.net/
  • CalcWeb - Computer-based calculus, Univ. of Pittsburgh
    Mathematica modules to view or download.
    http://calculus.math.pitt.edu/~calcweb/
  • Center for Science and Mathematics Teaching (Tufts Univ.)
    The Center develops curricula, activities, and computer tools that allow students to participate actively in their own learning and to construct scientific knowledge for themselves. Using these materials the students learn directly from the physical world. The Center's conceptual-learning research and evaluation program guides the development of materials such as Microcomputer-Based Laboratory tools.
    http://daffy.csmt.tufts.edu/
  • Computer Algebra Information Network (CAIN)
    A distributed information service set up to disseminate computer algebra news, knowledge, and software among users in all scientific and technical disciplines. Announcements of conferences and workshops; press releases; overview of systems and packages.
    http://www.can.nl/cain.html
  • Computer-Based Calculus at Old Dominion University
    Compressed files containing the complete text of all the laboratory assignments and computer activities currently used. Each module also has a "Class Notes" document with information for instructors, including course topics related to the module; suggestions about additional computer activities / demonstrations that might be used; discussion of typical problems students tend to encounter in the course of working on the assignment; a complete list of Mathcad (and/or Maple) files used in the module; software/hardware compatibility issues; and references to the textbook (to enable instructors using different textbooks to replace these with appropriate references).
    http://claymore.math.odu.edu/~web/cbii/calculus.html
  • Computer Lab 'Courseware' - Univ. of Toronto
    Courseware created for the lab to help in the teaching of various mathematical concepts. Most of the courseware is made up of Mathematica notebooks and packages, but some consists of C programs written to run under X-Windows. There is a lab manual beginning with an introduction to UNIX and Mathematica that describes the use of each of the courseware packages and programs created for the lab.
    http://www.scar.utoronto.ca/homes/mathlab/courseware.html
  • Electronic Games for Education in Math and Science (E-GEMS)
    A collaborative effort by scientists, educators, and professional video game and educational software developers to do research on and develop teaching materials that integrate video games and computer-based explorations with existing classroom practices. The aim of this research is to increase the proportion of children in Grades 4-8 who enjoy learning, mastering, and using underlying concepts of math and science.
    http://www.cs.ubc.ca/nest/egems/home.html
  • Geometry In Action
    Areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications, with brief descriptions of those applications and the geometric questions arising from them, as well as pointers to web pages and other sources of further information. Topics include geographic information systems, computer aided design/manufacturing, medical imaging, computer vision, architecture, graph drawing, origami, textile layout and more.
    http://www.ics.uci.edu/~eppstein/geom.html
  • Interactive Learning in Calculus and Differential Equations with Applications
    From the Mathematics Department at Indiana University of Pennsylvania (IUP). Mathematica's notebook feature enables science students to actively learn calculus and differential equations with guided discovery and exploration. Mathematica notebooks: Finding Areas with the Gauss-Green Formula, Newton's Method and Fractals, Vibrating Drumheads, Some Multivariable Calculus Ideas, Orthogonal Curvilinear Coordinates, Basic Complex Numbers for Applied Mathematics, The Drag Force on a Sphere.
    http://www.ma.iup.edu/MathDept/Projects/CalcDEMma/Summary.html
  • Maple V
    http://www.maplesoft.com/
  • A Maple Tutorial 
    Los Alamos National Laboratory
  • Getting Started with Maple 
    Indiana University
  • Maple Lab Manual 
    Worcester Polytechnic Institute
  • Getting Started with Maple 
    University of Texas at Austin
  • Maple: An Introduction 
    Institute for Scientific Computation, ETH Zurich
  • Symbolic Math with Maple 
    University of South Florida
  • Introduction to Maple 
    University of Utah
  • Introduction to Maple V in German 
    Alexander Walz
  • Maple hints 
    Rensselaer
  • Programming in Maple: The Basics 
    Michael Monagan
  • Maple in Action - An Introductory Handbook
    Piroz Mohseni
  • The Maple Dictionary with Examples 
    John V. Matthews
  • Maple V at MIT 
    Maple V information, descriptions. and tutorials.
  • Maple V at Indiana University
    Maple V packages, lecture material, and tutorials.
  • A Collection of German Worksheets
    Maple V worksheets for high-school mathematics and physics.
  • Maple V in Nancy, France 
    Maple FAQ, bibliography, and information.
  • Maple V in Germany 
    More Maple V sites and electronic information.
  • Archive of Educational Materials 
    Using Maple V 
  • Maple Resources 
    Robert McLachlan, New Zealand
  • NC State University Maple Archive
  • LiveMathTM
    http://www..maplesoft.com/
  • Mathematica® Pre-College Teacher's Edition
    http://www.mathware.com/Software/Mathematica/mathematica.htm
  • MegaMath!
    The frontier of mathematics is an exciting place, where mathematicians experiment and play with creative and imaginative ideas, some accessible to young children; some (infinity is a good example) ideas have already piqued many children's curiosity, but their profound mathematical importance is not widely known or understood. MegaMath is a project of the Computer Research and Applications Group at Los Alamos National Laboratory, and is intended to bring unusual and important mathematical ideas to elementary school classrooms so that young people and their teachers can think about them together.
    http://www.cs.uidaho.edu:80/~casey931/mega-math/menu.html
  • The Most Colorful Math of All - Map Coloring (MegaMath)
    Coloring is a profound mathematical topic with many multi-million-dollar industrial applications. The problem presented here has been of interest to mathematicians for over a hundred years. Some versions of the problem are easy to solve, others have yielded only recently to relentless efforts that would not have been possible without the aid of powerful computers. In all of its aspects, the basic problem is the same: How many colors do you need?
    http://www.c3.lanl.gov/mega-math/workbk/map/map.html
  • PUMP Algebra Curriculum
    The Pittsburgh Urban Mathematics Project (PUMP) is an attempt to make high school algebra accessible to all students through the use of situational curriculum materials and an intelligent computer-based tutoring system.
    http://act.psy.cmu.edu/ACT/awpt/pump-home.html
  • Visual Math Institute
    The Visual Math Project was created at UCSC for the development of computer-graphic based materials for teaching university math: precalculus, calculus, linear algebra, and ordinary differential equations. Since 1990, the VMI has been supported by small grants from individuals, to continue the creation of new materials relating to chaos theory and its applications in the sciences and arts. CDROMs under construction: Just Plane Chaos, Euclid's Voyage, Euclid's Voyage, Rev. 2. Calculus; Pre-Calculus; Modern Algebra; Analysis/Differential Equations.
    http://hypatia.ucsc.edu/
  • Writings from the MegaMath Project
    PostScript documents containing classroom materials and discussion of mathematics pedagogy. The Los Alamos workbook; Lessons for math teachers; An hour in the classroom; Literacy lessons and mathematics learning; Computer science in elementary school; Combinatorially based cryptography for children; Classroom structures for human development.
    http://www.cs.uidaho.edu/~casey931/mega-math/write.html
  • WCAT (Math Tutoring/Animations)
    Workshop for Computer-Aided Tutoring (Simon Fraser University). A laboratory facility for undergraduate students to enhance their learning of mathematics by using the latest computer technology. Students use various software packages including Maple, Mathematica, The Geometer's Sketchpad, Cabri Graph, ISETL, and various other colourful and fascinating programs, in order to learn more about calculus, linear algebra, geometry, graph theory, set theory, and other areas of mathematics. Also a virtual laboratory.
    http://mathserv.math.sfu.ca/
  • Wolfram Research
    http://www.wolfram.com/

CBL


Geometer's Sketchpad


Graphics Calculators

  • Advanced Algebra: A Graphing Calculator Approach
    A preliminary edition. In all areas of mathematics, visualization is an important aid to understanding. Graphing calculator technology allows students to visualize algebraic concepts - such as sequences - with graphs that provide a "visual spreadsheet" of valuable information. This approach is at the core of Advanced Algebra, and leads to a deeper conceptual understanding than traditional algebra textbooks. From Key Curriculum Press
    http://www.keypress.com/document/aa.html
  • Calculator Pattern Puzzles (K-5 (Gifted & Talented)
    From the Big Sky math lessons site. Students will recognize and explore the patterns based on their current concept level with numbers. First and Second Graders will instantly make connections to the idea of multiplication. Third Graders will refine and extend that same concept.
    gopher://bvsd.k12.co.us:70/00/Educational_Resources/Lesson_Plans/BigSky/math/CECmath.06
  • Calculator Resources (Explorer)
    ClarisWorks and Acrobat files to download; videotapes. Math Fair HyperStudio stacks (1-Adult); Dollar Daze (4-8); Crazy Calculator Quest (4-8); Pattern Recognition with Calculator (4-9); Disc-O Game (5-12); Fun With Estimation (3-5); Measuring the Earth (8-Graduate); Classroom Calculator Management (4-12); Calculators In the Classroom (Undergraduate-Adult).
    http://unite.ukans.edu/Browser/UNITEResource/RMathematics266.html
  • Casio
    http://www.casio.com/calculators/
  • Texas Instruments
    http://www.ti.com/
  • First-Year Calculus Course (Univ. of Toronto)
    MATA26Y: Calculus of a Single Variable - Scarborough College. Lecture notes, assignments, solutions and past exams, stored as .pdf files (Adobe Acrobat Reader is needed and can be downloaded from this page). Downloadable programs for graphing calculators.
    http://www.scar.utoronto.ca/homes/mathlab/calculus/
  • Instructional Materials Help Teachers in Grades K-6
    Uncovering Mathematics with Manipulatives and Calculators, incorporating instructional calculators into everyday classroom lessons. From Texas Instruments.
    http://www.ti.com/calc/docs/news/cg-414.htm
  • Teaching Discrete Mathematics with Graphing Calculators
    By Professor Fran Masat of Rowan College. During the summer of 1993, Mathematics Department of Rowan College integrated the use of graphing calculators (TI-81's and TI-82's) into its Discrete Mathematics classes. A major goal was to get discrete topics into the hands of students, but without becoming bogged down in how to use a calculator. As a part of the solution, graphing calculator worksheets (labs) were developed. Copies of the labs are attached. Also included are topic lists, suggestions for lab use, annotated references, and an answer key.
    http://gopher.terc.edu:70/1/hub/owner/univ/Rowan/Discrete_Math
  • Technology College Short Course Program
    Ohio State University offers week-long summer short courses to college and university mathematics faculty designed to enhance the teaching and learning of collegiate mathematics through hand-held computer technology. Short courses at Ohio State, as well as at local host sites.
    http://www.math.ohio-state.edu/Entities/Organizations/TCSC/index.html
  • Math & Science Pavilion: Graphing Calculator Resources
    Information and resources related to graphing calculators. CASIO CFX-9800G Activities: In the Kitchen with Mama Mia: Max-Min Applications; Mama Mia Says "Cheese": Linear Programming and Pasta Collide; Barnum & Bailey Meet the Graphing Calculator. TI-82 Activities: "Weather or Not": Graphing Temperatures as Sine Functions; TI Graphing Calculator Archives and Programs.
    http://141.104.22.210/Anthology/Pav/MathSci/calc/Calc.html
  • Hewlett Packard Calculators
    Yahoo's Web page of sites having to do with HP Calculators.
    http://www.yahoo.com/Computers_and_Internet/Hardware/Calculators/Hewlett_Packard/
  • Inverse Symbolic Calculator (ISC)
    The ISC is a set of programs and specialized tables of mathematical constants dedicated to the identification of real numbers. It also serves as a way to produce identities with functions and real numbers. It is one of the main projects presently ongoing at the Centre for Experimental and Constructive Mathematics (CECM).
    http://www.cecm.sfu.ca/projects/ISC/
  • Museum of HP Calculators
    The math history of early Hewlett Packard calculators (this page is not affiliated with the Company). The Museum currently displays most HP scientific calculators introduced from 1972 to 1977 and a few significant later models, and is growing. Classics, classic printers, the 20 and 90 series, 2nd generation mag card programmables, interesting later models. Information on repairs, other calculator sites.
    http://www.hpmuseum.org/
  • Philadelphia Graphic Calculator Committee
    A jumping off point for all available information on Graphic Calculators used for instructional purposes, including new programs, curriculum development, advances in technology, workshops and conferences, and software. Download a demo of graphing software at Future Graph
    http://forum.swarthmore.edu/~stevek/
  • Penman Evapotranspiration Calculator
    To perform the calculation, enter: month, number of days to do the calculation for, mean temperature, mean dew point, wind velocity in knots, station elevation in meters, ratio of hrs. of sunlight to 24 hrs., and station latitude.
    http://jei.umd.edu/jei/penman.html
  • Shaler High School Math Department
    Graphic calculator programs/lessons and activities, mostly with the TI 81 calculator, from the Shaler High School Math Department.
    http://sasd.k12.pa.us/Departments/MathDept.html
  • Technology and Mathematics Education Forum (TAME)
    The Australian TAME Software Support Network is for math educators trying to incorporate technology. Includes a collection of Graphics Calculator Programs to assist in the teaching and learning of mathematical ideas.
    http://www.edfac.unimelb.edu.au/DSME/research/TAME/TAME_SOFT.html
  • The Casio Classroom
    http://pegasus.cc.ucf.edu/~ucfcasio/casio.htm
  • The Slide Rule Home Page
    This long lost ancestor of the calculator and computer can perform mathematical functions from simple multiplication to trig and complex numbers.
    http://photobooks.atdc.gatech.edu/~slipstick/slipstik.html
  • The TI-92 in Mathematics Education
    A study of the use of the TI-92 calculator at Strand upper secondary school in Norway. Principal Investigator: Tor Jan Aarstad.
    http://forum.swarthmore.edu/mathed/norway.ti92.html
  • TI-82 Tutorial
    This tutorial starts from scratch with turning on the TI-82 calculator and takes you through the basic steps needed to do arithmetic and function evaluation and to enter, graph and tabulate functions. You use a TI-82 as you view the tutorial to do and check the exercises scattered through the tutorial.
    http://www-cm.math.uiuc.edu/MathLink/ti-tutorial/ti-tutorial.toc.html
  • TI-92 Tutorial
    It is a very basic tutorial that begins with turning on the TI-92 calculator and proceeds through the steps needed to do arithmetic and finally to entering, graphing and tabulating functions. You use a TI-92 interactively with the tutorial by doing and checking the e exercises scattered through the tutorial.
    http://www-cm.math.uiuc.edu/mtl/TI92/sld001.htm
  • TI Calculators Guidebooks
    http://www.ti.com/calc/docs/guides.htm
  • TI Calculator Home Page
    Texas Instruments: Product overview; News items; Calculator support programs; Calculator history.
    http://www.ti.com/calc/docs/calchome.htm
  • TI Free Downloads
    http://www.ti.com/calc/docs/downloads.htm
  • TI Graphing Calculator Software Archive
    Programs for the Texas Instruments family series graphing calculators and related products - Calculator apps; Sw-apps/Cabri; Frequently Asked Questions (FAQ) or Graph-TI and Calc-TI; Calculator Based Laboratory; List of programs with descriptions.
    ftp://archive.ppp.ti.com/pub/graph-ti/
  • TI Teachers Support
    http://www.ti.com/calc/start/teachers.htm
  • Unofficial TI-Calculator home page
    Getting a calculator; Getting a Link; Getting TI resources on the Net; Frequently Asked Questions (FAQ); Programming and Miscellaneous; ZShell.
    http://dnclab.Berkeley.EDU/~smack/ti.html
  • Video Tutorials
    http://www.eaiusa.com/ed__workbooks__videos.htm

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PBL


Spreadsheets

  • Introduction to Math and Spreadsheets
    Jan Garner's exercises on spreadsheets. Using ClarisWorks, Graph a spiral or a few parabolas; Build a scale model of the Great Pyramid or find the biggest box you can make from a sheet of cardboard; Plan the budget for a picnic.
    http://forum.swarthmore.edu/sum95/math_and/spreadsheets/intro.html
  • Spreadsheet Basics
    Basic steps to spreadsheets.
    http://forum.swarthmore.edu/sum95/math_and/spreadsheets/basics.html
  • Spreadsheets in Education
    http://www.smc.univie.ac.at/~neuwirth/spreaded/spreaded.html
  • Spreadsheet Lesson Plans
    Mathematics exercises using spreadsheets; themes include astronomy, nutrition, and baseball. Provided by the North Carolina Department of Public Instruction.
    http://www.dpi.state.nc.us/Curriculum/Computer.skills/lssnplns/sstoc.html
  • Spreadsheets, Mathematics, Science, and Statistics Education
    Information about spreadsheets with an emphasis on mathematics and statistics education. Spreadsheets in Education - Recommended Books; Papers about Spreadsheets in Scientific Journals and Books; Spreadsheet; Example Spreadsheets and Projects (mostly Excel 5.0); Further Resources for Spreadsheets in Education on the Internet. General Resources for Spreadsheets on the Web Web Documents explaining Spreadsheet Concepts; Support Information, Utility Programs, and Add-Ins.
    http://www.smc.univie.ac.at/~neuwirth/spreaded/spreaded.html

 2000-01  M. Llarull - Department of Mathematics - NJTQEC - William Paterson University