Math
 
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Pam Petty
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A LINK FOR TEACHERS
Mathline is a professional development program, which provides Internet-based learning communities facilitated by experienced classroom teachers, a series of video lessons which allow teachers to make "virtual visits" to classrooms where teachers and students are engaged in standards-based instruction, and lesson guides along with suggested ideas for online discussions.
http://www.pbs.org/teachersource/math/

Talking Times Tables: Free to try.  Helps kids learn times-tables up to twelve.
http://splam.com/down/pc/talkingtimp1.html

Lester McMultiply: Help your child learn to multiply while helping Lester the robot rebuild his ship.  Free to try.
http://www.kidsdomain.com/down/mac/lestermult.html

MathQuiz: Practice math tables with animated graphics. Freeware.
http://windows-ce.com/software/listings/Education/Math/_P/9708/

Math Flash Cards: Scroll down on the page to get to Math Flash Cards. Freeware.
http://freeware.intrastar.net/education.htm

Ray's Number Game: Learn times tables and more.  Freeware.
http://ourworld.compuserve.com/homepages/RayLec/Numview.htm

HIGH SCHOOL TEACHERS' MATH LESSONS:
http://forum.swarthmore.edu/teachers/high/lessons-individual.html
This large collection of high school math lesons contains very many innovative and fun teaching methods. The individual lesson plans run the gamut of everything mathematical of course, and chances are high you will find something of interest to your particular needs. >From the Forum's Internet Mathematics Library.

Don't forget to check out "ASK THE MATH EXPERT" on The Learning Company School's website:
http://www.learningcompanyschool.com
You can read articles related to math, pose your questions to another mathematics teacher, and review math lesson plans!

2061 TODAY:
http://project2061.aaas.org/newsletter/pdfs/tdys99.pdf
The current issue of 2061 Today (Spring/99) is available on PDF file.  This particular issue has tips and guidelines for choosing math textbooks.

9TH GRADE MATH TEST QUESTIONS:
http://www.lerc.nasa.gov/Other_Groups/K-12/p_test/math_pro1.html
Thirty-eight questions in a grade nine math proficiency test can be used as review, or at the end of grade 9 year.

10TH GRADE MATH ASSIGNMENTS:
http://forum.swarthmore.edu/briston/briston.markdown.html
Richard Briston in Oakville, Ontario, has several assignments appropriate for high school students. Start with Markdown Savings; student solutions are available at the bottom. Click on Back to Table of Contents for more problems.

STANDARDS FOR TEACHING MATHEMATICS:
http://instruct.cms.uncwil.edu/standard.html
>From the Instruct site, here are NCTM standards for teaching math, along with resources and discussion. You can pursue a standards topic, with thorough and detailed input and resources attached (e.g. teacher's role, tools, analysis, worthwhile math tasks, etc.).

KEY ISSUES: NEW MATH TEACHERS & THE JOB MARKET:
http://forum.swarthmore.edu/social/math.jobmkt.html
The Math Forum provides a very good resource site for any new teacher entering the job market; or for that matter, any math teacher wishing to change positions as well.
The site provides a collection of links to actual job banks in the field, to career planning, an analysis of the market for mathematicians, European jobs, and career profiles.  There is much at work for you here, so take advantage!

PRE-ALGEBRA SKILLS:
http://www.mathprep.com/basicskill.html
Skills and drills in long division, fractions and integers.  This site provides an online version
of a good, old-fashioned, solid workout!

BASKET MATH INTERACTIVE:
http://www.scienceacademy.com/BI/index.html
You will find much drilling in basic skills here, in a wide variety of areas.  Topics include: exponents, perimeters, distance, rounding, bar graphs, reasoning, and many more. Shoot the
basket if you get the correct answer!

NRICH ONLINE MATHS CLUB:
http://nrich.maths.org.uk
There is very much to explore at this resourceful site, including math games, puzzles, problems, articles, archives, activities, discussions, inspiration, and much much more -- truly worth a visit!

MATH CONCEPTS LESSON PLANS:
http://www.ups.edu/community/tofu/lev1f/conframe.htm
Math Concepts provides a large collection of lessons in fractions, functions, geometry and pre-algebra. (See also Wednesday's Math League for even more middle school lessons--based on standard curriculum.)

GRAPHING SLOPE & Y-INTERCEPTS:
http://www.nsa.gov:8080/programs/mepp/ms/algrst01.html
Links to standards are not always available with many lesson plans, but this one does include standards, and does a fine job of breaking down this algebra unit.  There are three activities and seven worksheets.

THE BEAUTY OF SYMMETRY:
http://www.nsa.gov:8080/programs/mepp/ms/geom01.html
From the same people as the lesson above; this unit uses manipulatives and cooperation to learn about geometry.

UNIT PLANS; GRADES 7 - 9:
http://www.ucs.mun.ca/~mathed/t/up/UP-index.html
You can use these plans as a guide, or follow them along. Unit plans are for a full year of math classes, for each grade.  From Canada.

FASHION SENSE & DOLLAR WISE:
http://www.nsa.gov:8080/programs/mepp/ms/prealg01.html
This unit incorporates lessons in reasoning, problem- solving, cooperation and number relationships. For grades six through eight, with four worksheets.

Don't forget to check out "Ask the Math Expert" on The Learning Company School's website:
http://learningcompanyschool.com/
You can read articles related to math, pose your questions to another mathematics teacher, and review math lesson plans!

HISTORY OF MATHEMATICS:
http://www.lib.virginia.edu/science/parshall/algebra.html
"The Art of Algebra From Al-Khwariizmi to Viete:  A Study in the Natural Selection of Ideas", by Karen Hunger Parshall.  This study provides an extremely detailed and fascinating account on the history of mathematics.

FINE DINING IN THE FOURTH GRADE:
http://www.nsa.gov:8080/programs/mepp/es/frac02.html
I love the title of this unit!  Geometry and fractions: what do they to do with restaurateurs?  Learn exactly what here, in a fun and educational unit where students must set up a restaurant and serve a fine meal!

THE ARITHMATTACK GAME!
http://www.dep.anl.gov/aattack.htm
Sometimes games, with their repetitive and fast drill format, seem the best way to doggedly pursue those fast facts, without even knowing that that's exactly what you're doing!  Have your students choose addition, subtraction, multiplication, division, or random call, and see how many problems he/she can answer in 60 seconds. Watch out... that clock is ticking!

AUTOMATHS:
http://www.edbydesign.com/automath.html
Learn math and gain online experience at the same time. This can be used for both slow and fast learners alike, remedial or challenger levels. Junior level addresses addition and subtraction skills.

MATH LEAGUE:
http://www.mathleague.com/help/help.htm
You will find a vast array of lessons at this site, arranged by topic and applicable for grades four through eight.  Each topic has its own lesson bank (e.g. Whole numbers and their properties; ratio and proportion; intro. to algebra; fractions; decimals; positive and negative numbers, etc.) and provides a great resource to use throughout the year, for both upper elementary and middle school teachers.
 

PRIMARY MATHEMATICS ENRICHMENT:
http://www.nrich.maths.org.uk/primary/index.html
From Britain, this site provides a rich resource in math activities, problems, lessons, and games. They also have a kid's magazine, a free math club, and a bulletin board. You'll find that here they really like math (and shouldn't we all?) !

ORGANIZING A MATH LAB:
http://explorer.scrtec.org/explorer/explorer-db/html/820889956-81ED7D4C.html
A math lab is an appealing idea; students like the very idea of it, because it implies a hands-on
approach rather than a dry class lecture. The above site is a downloadable file in PDF or HQX. It will explain how you can set up your own math lab, and moreover, suggest how you can  incorporate the lab right into your regular classroom.  It also includes tips on assignments, teamwork, evaluation and motivation.

MATH LESSON PLANS: K - GRADE 3:
http://www.telepath.com/mps/northmoor/primath.html
I think your students will be pleased when they find out that M & M's are part of their math lessons!  They will also love to build a community store, while learning how to make change; or observe and predict using Valentine candy!  Hands-on lessons do make mathematics
not only more real and accessible to children, but that much more fun to learn as well.

CALCULATOR PATTERN PUZZLES:
http://www.col-ed.org/cur/math/math06.txt
This course was originally designed as a gifted lesson plan for grades K-3, but it can be adapted easily for general classroom use.  Children explore number patterns and relations, as well as calculator functions.

COOKING BY NUMBERS:
http://www.learner.org/exhibits/dailymath/cooking.html
Students will learn how to calculate different proportions, varying the sizes and tastes of recipes. From the Annenberg Project.

METRIC CONVERSION:
http://www.learner.org/exhibits/dailymath/meters_liters.html
Common conversions, how to convert, and a metric-conversion card are all here.

ADDITION TIC-TAC-TOE:
http://www.col-ed.org/cur/math/math50.txt
Anyone having trouble with addition and subtraction facts? You  may just have found what you needed here to entertain them into learning!  Change the rules of the traditional tic-tac-toe game a bit, and children will gain practice with addition and subtraction drills in a slightly different manner. Early elementary level.

From a math teacher of grade 7 kids, math exercises.
http://www.lth6.k12.il.us/Schools/dist20/yourpage2.htm

A multimedia CD-ROM that guarantees your child will learn 7th grade math.  Although this is meant for an at home course, it could be used to make sure he understands his facts.
http://www.homeschooldiscount.com/home2/SSmath7thgrade.htm

Math resources for grades 7 and 8.
http://www.svusd.k12.ca.us/resources/Curriculum/Eighth/Math7_8.html

JUNE 23RD:
1912  Mathematician & Computing pioneer Alan Turing.
http://www.turing.org.uk/turing/
Timelines and tidbits, but this site has many great links to this computer pioneer.

MEGA MATHEMATICS:
http://www.c3.lanl.gov/mega-math/
With activities, puzzles, and challenges such as: Welcome to the Hotel Infinity; Games on Graphs; Algorythms & Ice Cream For All; Untangling the Math of Knots, and more.  Each unit comes with an overview, evaluation, preparation, and activities for that particular unit.  Challenging, intriguing, exellent!

NEWTON'S WINDOW CHALLENGES:
http://www.suzannesutton.com/maytidbits.htm
Monthly challenges from Suzanne Sutton. May's challenge focuses on Fibonacci numbers--and flower petals...

ALGEBRA CHALLENGE:
http://www.merrimack.k12.nh.us/mhs/math/newpage3.htm
From Merrimack High School, N.H. This particular challenge is called Slopes Across the Sea.  Scroll down and click on their geometry or statistics challenges as well.

THINGS IMPOSSIBLE?
http://www.cut-the-knot.com/impossible/index.html
Trisecting an angle...Doubling a cube....Squaring a circle..... Much more! This site is jam-packed with activities and puzzles. Link, for instance, to Inventor's Paradox, or Eye Opener Series.  All interactive; be prepared to spend a good deal of quality time with this site.

DR. MATRIX' MIND GAMES:
http://www.nr.infi.net/~drmatrix/mindgame.htm
Lots of puzzles, problems, and challenges to test
your brain cell power.

LONGEST KNOWN PRIME:
http://www.thinks.com/math/largestprime.htm
It might not be for everybody! But if you want to break the current record for largest prime, you can get involved with the Great Internet Mersenne Prime Search.

MATH PUZZLES:
http://www.math.tau.ac.il/~puzne/gif/brain.html
From easy puzzles, advancing into tough terrain-- and that's putting it mildly!  Go ahead and give them a try!

MATH PUZZLE OF THE WEEK:
http://www.mathpuzzle.com/
Excellent site from Martin Gardner, who has not only a puzzle for the week, but numerous other challenging links as well, including a contest challenge ( one for which an answer is not known, nor necessarily expected!) Try Monckton's Infinity Puzzle, or Dissecting Convex Figures.  Have any Goodwill Hunting candidates in your classroom? Send them to this site!

THE SLIDING BLOCK PUZZLE PAGE:
http://www.johnrausch.com/SlidingBlockPuzzles/index.html
Nine sliding puzzles at this site for your enjoyment-- or is it your frustration?!

BRAIN BINDERS:
http://www.brainbinders.com/
They say, "all you need is a sheet of paper and a brain." Hmmmm.........   Puzzles to drive you crazy!

MAGIC SQUARES & MAGIC STARS:
http://www.geocities.com/~harveyh/
Numbers, stars, patterns, squares; lots of fun and challenging puzzles.

MAZES:
http://www.mazemaker.com/tradmaze.htm
This is not an interactive site, but you can click on a maze to enlarge and print it, and go from there. Based on 3 actual maze gardens from Leeds Castle, Parham House in Sussex, and Dairy Crest Farms in Pennsylvania.

QUANTUM CYBER TEASER:
http://www.nsta.org/quantum/cybertzr.htm
You can win prizes if you correctly solve these problems each month.  Or access the archives for less stress, as the solutions are also handy!

1856  Russian mathematician Andrei Markov. Best known for probability theories, and the Markov Chain. A concise biography:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Markov.html

math flashcards.
http://www.aplusmath.com/

1. Math skills and abilities can be developed by anyone! If you are uncertain about this, a visit to a couple of websites will give you courage.  Especially see:
http://www.mathmatters.net.  While visiting Math Matters, check out the "7 Ms:  myths, memory, models, metaphor, meta learning, multimedia, miracles"
http://www.nctm.org is the website of the National Council of Teachers of Mathematics, a leading professional organization for and by teachers of math in the U.S.  An important tenet of the NCTM is that "Every child can learn math."  (Check out the beliefs of the National Council of Teachers of Math on their website.)

2. Learning math is a matter of fitting activities to learning styles of
learners. We found this out in reading, right?  It's true in math, too.  An especially nice introduction to learning styles re: math is also in http://www.mathmatters.net  In the section on Learning Styles, and on "dimensions of learning", you'll find that 69% of learners predominantly use visual input.  They like charts, images, and diagrams.  And 67% learn best
by doing an activity.  That should fuel your desire to create interesting hands-on activities for your math learners.

3. Your local school district has most likely adopted a math plan for its students, and can share that with your program.  (They may also have math standards for each grade level, but whether or not they have developed math standards yet, they will have general expectations of students of all grade levels.)  The district and school have math specialists who can interpret for you the best ways your program can support your math coaching and tutoring.  They may have materials for you to use, as well. Take a look at the books used at the grade level where your students are. Though school is out soon, you'll want to check with the school district for fall to see if there is a "homework hotline" for math homework, and get the number for students who may be expected to do homework in your after school program.

4. There is a wealth of materials for you to draw from, due to the longtime math and science emphasis in this country, and to renewed emphasis in recent years.  Here are a few places to start your own learning: http://www.nctm.org  The National Council of Teachers of Mathematics, mentioned earlier, was the first organization to develop standards for its subject.  Thousands of teachers participated in drafting the math standards for each grade level.  They are available online now.  If you are working with kindergartners, you'll want to discover the kinds of activities NCTM recommends for students, and the actual standards (what NCTM believes students should know and be able to do) you can set as goals to shoot for for your kindergartners. http://www.nwrel.org This is the website of the Northwest Regional Educational Laboratory, called NWREL for short.  There are many math resources there, as well as links to the other "education labs" in other
parts of the country. http://www.learner.org  This is the Annenberg website, and it is designed for use by teachers and programs like national service programs.  There is a list of "freebies" you can download that includes math activities for students.
Other sites that have free materials for you to download are:
http://math.rice.edu/~lanius/
http://www.numeracyhour.com
http://www.schoolexpress.com
http://www.mathgen.com

5. Doing math, and thinking math is a lot of fun!
Just as we have learned that literacy is more than rote learning of sounds, and that literacy builds on language development, so math is more than working problems.  It is a way of thinking.  "Math play" and math story problems are fascinating for young children, and still hold older students captive.  You will find that if children become friendly with math tools (ruler, measuring sticks), they will starting thinking up math tasks of their own!

6. While you are teaching math, use it to educate your students about their region and the world they live in.  Hands-on activities like these help students to "think math":
* For example, you can ask students to find out how many people live in the
U.S.  How many live in their state?  What percentage of the U.S. population
does the state make up?
* Measure the size of the room you use for tutoring.  Draw a map, to scale
(1 inch = 1 foot), of your room.
* Use the "math fantasy" Cynthia Lanius develops on her site at Rice University http://math.rice.edu/~lanius which starts, "Which would you rather have?  A job for a month that pays one cent on the first day, two cents on the second day, and double your salary every day for a month -- or exactly one million dollars?"

7. If you don't have easy access to the internet. . . .
Invest in (beg, borrow, get donated) some math tools like these, and make up
your own problems.  (After you've run through yours, ask the students to
design problems and pose questions for each other.)
* A ruler
* A calendar
* An airline timetable
* Some blocks and marbles (for young children)
* String, cut in 1-foot and 3-foot lengths
* Some measuring tape
* An apple and a knife (to teach fractions by, and to snack on)
* A World Almanac (it has lots of numbers in it, and is waiting for you and
your middle school students to use to make up comparison problems)
* The weather page from yesterday's paper, and from today's paper (again,
comparisons just ask to be made!)

Hope these are helpful suggestions.  We look forward to reading the
suggestions of others. . . .

LEARNS is a partnership of the Northwest Regional Educational Laboratory (NWREL), Bank Street College of Education (BSC), and the Southern Regional Council (SRC).  The LEARNS partners provide training and technical assistance to America Reads and other Corporation for National Service projects focused on literacy and education.  You are invited to visit our website at http://www.nwrel.org/learns for information on how to contact the
partner serving your state.
   


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