| Senior
Mathematics |
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Novices may wish to begin with the Introductory Samples. Those who have experience searching through the Internet for mathematics activities should continue on below in the annotated explorations: our list of Specific Resources provides a cross-section of resources of various types. Those seeking comprehensive listings will want to look at the Broad Resources and Collections.
Introductory Samples
- Lesson Plan -- Scroll down to "9-12", click on "Lessons" and go to the Advanced Level "Discovery Lesson". "Questions and Solutions" provides further help. Can you explain Pascal Petals using binomial coefficients?
- Interactive Activity -- Follow the instructions on the "applet" to experiment with secant and tangent lines. This is one of 134 such applets on the site.
- Puzzle & Solution -- Look at the first puzzle (on spider paths), then go back and look at its two solutions.
- Tutorial -- click the arrows to step through a tutorial on Data Fitting with the TI-82 calculator.
Specific Resources
- Challenges and Puzzles
- Internet Math Challenge - an excellent source of interesting problems appropriate to high school students. View problems from current and previous weeks. Each problem can be printed for class distribution or posting on bulletin board.
- Interactive Mathematics Miscellany and Puzzles - an outstanding site offering hundreds of puzzles that are sure to intrigue, and whet your appetite for mathematics.
- MathMagic - intrigue your mind with current and past Challenges (10-12).
- Reference
- Dave's Math Tables - an attractive collection of tables and formulas covering basic math, algebra, geometry, trig, calculus and more.
- Encyclopedia of Mathematics - a remarkably complete and useful compendium of definitions of mathematical terms and concepts. Definitely worth a look.
- Self-Study
- Trigonometry - A great little site for learning trigonometry.
- Interactive Mathematics Online - a place to learn about algebra, functions, geometry, chaos and more.
- TI-82 Tutorials: Basic / Data Fitting. TI-92 Tutorial. Downloadable versions of these tutorials are available at the bottom of this page.
- Alan Selby's Appetizers and Lessons for Math and Reason is a collection of innovative lessons suitable for student self-study. They also offer novel approaches for teachers. One example is Slopes and Ski Trails.
- Exercises in Math Readiness - review and help for students preparing to go on to University math.
- Activities
- Mathematics on the Beach - calculator based labs - such as observation of damped oscillation of tree branch or measurement of water waves and light intensity.
- Math Projects for Science Fairs - take a look at project ideas involving combinatorics, scheduling problems and much more.
- Estimate Pi by dropping a needle (try the Java simulation).
- Mathematical Object Factory - subsets, permutations, combinations, partitions, pentominos,.. Each type of object is explained, and the student can experiment with generating them online.
- Manipula Math with JAVA - more than 125 interactive java applets that demonstrate mathematical concepts (intermediate through calculus). See why the Japanese education system is so successful.
- Ask Dr. Math - students can find answers to their questions by browsing the question/answer archives, or they can send in their own questions to be answered by professional mathematicians.
- Exercises in Math Readiness for University Study - exercises in 23 areas of pre-calculus mathematics. Problems are grouped as introductory, moderate and advanced, and include hints and solutions, as well as background material for each area. Great for student self-study or as a source of extra exercises for teachers.
- Mathematician of the Day - gives pictures and short biographies of mathematicians who were born or died today. (changes daily!)
- Calculus Haters' Home Page - Calculus Haters of the World, Converge!
- Gallery of Escher Art - each of these math-related paintings is explained. Click repeatedly for enlargements.
- Math and Art - math art, fractals, chaos and more
- Virtual Polyhedra - view, manipulate and learn about over 1000 polyhedra on-screen.
- Bamdad's Math Comics page
- Math Competitions
- Waterloo contests - Pascal, Cayley, Fermat, Euclid, Descartes, COMC, etc.
- Competitions page of the Canadian Mathematical Society - Canadian Open Math Challenge, Canadian and International Mathematical Olympiads, past exams, training materials, past winners,...
- Math Software
- Geometer's Sketchpad - Information / Downloadable Demo
- MathResource's MathProbe - Information / Interactive preview
- Interactive Math Dictionary - dictionary with built-in maple engine - Information / Online Preview
- Peanut Software - free software tools for a wide range of mathematical investigations and calculations
- Math Shareware and Freeware for PCs and Macs - Swarthmore's index.
- High School Math Software - a large well-organized software inventory
- Mathematics Archives - Software - this immense index of software is fully classified and searchable
- Organizations for Math Teachers
- Ontario Association of Mathematics Education (OAME)
- National Council of Teachers of Mathematics (NCTM)
- Canadian Mathematical Society (CMS)
- Ontario College of Teachers
- Education Quality and Accountability Office of Ontario
Go to: [Top]--[Specific Resources]--[Broad Resources and Collections]--[End]
Broad Resources and Collections
- The Math Forum - Swarthmore's vast repository for math teachers
- Internet Resource Collection - peruse an enormous index of math resources categorized by type, level and topic. Or, use a power search to hone in on what you are looking for.
- Web Units and Lessons - topical materials for use in your classroom.
- Mathematics Education - extensive information on mathematics pedagogy
- High School Teachers' Place - lesson plans, math software and more.
- Ask Dr. Math - students' questions and mathematicians' answers, classified by topic and level.
- Math Teacher Link - an excellent site for math teachers
- Short Courses and Tutorials for Math Teachers - a great opportunity for professional development. Download course materials or work online. You can even get University credit for these! Topics include Web Resources for High School Math, Using Geometer's Sketchpad, Teaching Statistics in High School, and great online tutorials for TI-82 and TI-92 calculators.
- Classroom Resource Bank - a growing collection of resources, grouped by high school course names.
- Frank Potter's Mathematics Gems - a large selection of mathematical sites - grouped by level and topic, with brief descriptions.
- Canada's SchoolNet -- Math Department- links to numerous tools and explorations such as
- The Amazing Mathematical Object Factory for generating permutations, combinations, magic squares are more.
- Calculus Carnival - A top notch site dedicated to visualizing calculus using animations. Arranged into 3 galleries which the student can explore. Gallery 1: classes of curves and related areas. Gallery 2: user-controlled animations creating 3-dimensional object from curves via rotation and revolution. Requires Netscape 4 and various plug-ins.
- Camel Education page - a collection maintained by the Canadian Mathematical Society. Canadian resources are hilighted. Includes resource collections for Junior/Intermediate and Senior levels.
- IB Higher Level Mathematics syllabus - detailed syllabus of upper senior level math courses with links to specific internet tools for each topic.
- Cornell Math Gateway - a well-selected collection of high school math resources, grouped by area.
- Evan Glazer's pointers to Math Internet Projects and Activities
- Math Archives - this immense collection includes teaching materials, software and topically organized resources. To make the sheer volume more manageable, the listings have been subdivided several ways, annotated and made searchable.
Go to: [Top]--[Specific Resources]--[Broad Resources and Collections]
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