In the summer of 1997 my section of Math 132 put together a list of web sites which the students had found as resources for teaching math at grades K-8. Here are the sites, with some comments extracted from the student's reports:

http://www.n pac.syr.edu/textbook/kids web/math.html
Divided into these sections
General Math Pages
Chaos and Complexity
Fractals
Geometry
History
Numbers
Puzzles and Problem Soving

http://www.infomath.com/

This site gives a form for kids to fill out and email in so that they can get help with their homework! The student describes the problem and sends it in and then it is sent back with suggestions and clues about how to solve it. Cool.

http://www.geocities.com/Heartland/1302/

One of the listings under that was mathematical jokes. I read through them and even though I didn't understand all of them, I still thought they were pretty funny. I thought you might like to check them out.

http://206.159.118.101/education/educators.html

The other web page that I really enjoyed was called "The Educators' Educational Resource Directory". It was incredible, covering every subject, all different levels. Because I am a PK-3 major, I clicked on the Math section for the K-1 area. The site contained numerous suggestions and ideas for teaching various math concepts to that grade level. There were suggestions for teaching numbers, patterns, shape and space, and statistics and probablility. I was very impressed and thankful that I had stumbled across such a valuable resource. Although I did not take the time today to explore the other subjects, I would be willing to bet that they are as helpful as I found the math area to be.

http://www.clarityconnect.com/webpages/terri/terri.html

This site has a lot of useful information for begginning math teachers, whether they are at the elementary or middle school level. It talks about making connections, multicultural math, classroom management, and it gives other professional suggestions. This site also gives some good resources for beginning teachers. In addition, it gives the names other several other great web sites for teachers involving math. I think this site is very interesting and helpful for teachers just starting out. It gives a lot of great ideas concerning teaching math!

gopher://bvsd.k12.co.us/11/Educational_Resources/Lesson_Plans/Big%20Sky/math

I really like it because the plans are from teachers who have successfully used these activities in their classroom. I also found many of the plans to be hands on activities which I think is very important in math education. I will keep this site because it will help me to integrate different areas of math in a hands on approach.

I found a web site with the address http://turbo.kean.edu/~wistproj/.

The site is run by Kean college and it is concerning a program that mentors young girls to keep them interested in and succeeding in math. Female undergrads and faculty and staff provide programs and discussions with young girls about math, science and careers in math and science. They offer a listing of the best math and science careers for women as well as information about college scholarships.

http://www.csun.edu/ceed009/math.html

I chose this website through Yahoo. I was looking for a site that had lesson plans and chose one called, "Putting It All Together." The lesson has students look at how numbers can help them understand their community. The lesson has them use counting strategies to for example, count the number of stores, houses and offices in a city block. It has them looking at and counting other things as well, like bus stops, street lights, parking spaces...

(Another student report, same site)

It consists of a bunch of different links, which give lots of information, ideas, and more. The following are just a few of the ideas I found within each of the links:

*Applications --> creating a calendar and/or looking up past calendars

*Lesson Plans --> "Numerical Recognition, Matching, and Writing" (sorting M&M's)

*Board Games --> The Fruit Game

*Ideas and Activities --> Women in Mathematics

*Puzzles and Problems --> Math Magic (working on the internet)

*Organizations --> NCTM; Curriculum and Evaluation Standards for Mathematics

I am in the PK-3 program, and the best thing about this site is that you can find information directly related to your certification, and, more specifically, the grade and unit you happen to be teaching.

http://www.ww info.corn/edu/flash.html

It is an interactive flash card site from Cornell Theory Crnter Math and Science Gateway. This was, I thought, an excellent way for children (k-12) to practice straightforward math fact memorization or to practce understanding and use of the calculator. The program allowed practice of addition, subtraction, multiplication, and division problems with simple or complicated numbers. I could see an educator using this in the most basic rote-memorization of facts by elementary school students, especially a student who is embarrassed by mistakes made working with other students. This is a very impersonal way to practice. However, I did not like the fact that no explanation was given to support understanding of why the answer is wrong. Also, I think kids would find it hoaky that even totally bizarre answers (or the absense of the answer) are given a positive "you were close." I think a student might respond to graphics like those used in computer games... in fact, I felt the whole answering system could have been made more fun. I guess this is just serious business-- memorizing math facts!

http://www.planemath.com/activities/pmactivities.html

I found a really cute web site called Planemath for primary students. It has specific lessons that incorporate math skills and airplanes (in association with NASA). Each section headed Flight Path, Plane Capacity, or Runways and Takeoffs has sections to click onto for the lesson, an interview with a person relative to the lesson, a group activity, and information for teachers and parents. It goes into the objectives, possible modifications, materials, and NCTM math standards. The graphics are really cute and the directions are easy to follow. Two more I found interesting for more advanced students are:

http://alabanza.com/kabacoff/Inter-Links/puzzles.html

which contains puzzles and brainteasers and

http://forum.swarthmore.edu/mathmagic/

which has current challenges for K-12

http://forum.swarthmore.edu/teachers/elem/

I searched the web and found a site called "Elementary Teacher's Place" that really caught my interest (although most do).

The reason I like it so much is because it is categorized in two

ways: one as the classroom and one as teaching as a career. Both topics

have subtopics in which to explore. For example, in the classroom there are

activities, lesson plans (sites and units), and sites for kids. Under the

career section are workshops, discussion groups, and articles and

publications.

Last evening I spent several hours cruising the web, and I was amazed at how

much information is out there for math education! I found lesson plans,

and some just really neat sites that I think would be really fun for kids,

or at least to even recommend to parents that might be interested. For

example, I found the Big Sky Math Lesson Plans to be really neat. They

list them on the Gopher Menu Home Page according to grade level.

The address is

gopher:bvsd.k12.co.us/11/Educational_Resources/Lesson_Plans/Big%20Sky/math

Basically, I just went to Yahoo and typed "math education", and

you could go for days from there, just in Yahoo. Every other search engine

that I checked had tons of math education information and resources as well.

This is the adress of the website that I found after searching the web. I

picked this one to be one of the best ones that I saw while searching:

http://www.learner.org/content/K12/sami/

It was very well organized and contained thousands of lesson plans for all

grade levels and also had links to other interesting websites dealing with

math education. They also had some great ideas for searching for other

websites. The other reason I liked this website was that it was very well

organized, so it was easy to find what I was looking for.

The website I found is for the Education Place, located at

"http://www.eduplace.com". You might want to go directly to the "math center"

at "http://www.eduplace.com/math/index.html". There you will find the

following:

Brain Teasers: These are divided into three difficulty levels, by

grade (although I personally found the lower level puzzle to be the

most difficult). Each week, there is a new puzzle for each level,

as well as hints and the solutions to the last week's puzzles.

Houghton Mifflin Mathematics: Statements on the company's

philosophy regarding math education.

Project Watch: Projects to do with a class or individually that

involve using email. Some are more related to math than others.

Math Links: Links to more mathematics related websites.

Parent Handbook: Includes games, puzzles and other resources for

helping your child develop math skills and understanding.

I browsed through the internet and I

found many interesting articles and home pages about math education. I was

surprised to find the huge amount of information that was available to me.

I found some really incredible resources that I will be able to use once I

start teaching. Anyway, there was this one article that I decided to read

called "How I Solved the Problem Solving Problem in Mathematics" by Maurice

E. Dahmus, Ed.D. I just read the first article of hers, and I found it very

interesting. She explained how she would do a math problem to the kids in

order to help them, and she realized that she really did not know how she

got the answer. This hits home because in my Math 130 course I found myself

in the same situation. Her solution was to translate the problem to a

system and solve that system. She goes on to say "The math in the problem

is a system of equations. The math in solving systems includes the axioms,

definitions, and the theorems one uses to solve systems." Her belief is

that the axioms, definitions, and theorems one uses to solve the problem

need to be taught and explained thoroughly. She claims that there is no

other way to do math other than using proofs. There is no reasoning or

critical thinking involved. She notes that this system will work for large

groups of children rather than for a few here and there. I guess I

understand what she is saying, but it is difficult for me to really

evaluate her comments without having seen her ideas in action. Hopefully,

once I get into the classroom I will be able to apply her ideas of using

definitions, theorems, and axioms. Regardless, I have been exposed to a

variety of ideas on the internet!

The web site that I found most interesting was

http://www.gomath.com/corp.htm This is a site where people can post any

questions related to mathematics or math education, play a weekly puzzle,

list resources, etc. What I found most interesting though is that if you

become a member, which is free, you can create your own homepage, which will

also be "out there" for free. I plan to do this.

It will not be on the net though for a couple of weeks, I need to first

decide what to put on it! I'm really glad that I found this site since it

will also, hopefully, enable me to create a homepage with my students in

the future for free, something that I had planned on doing anyway. Have

a great weekend!

I came across a program entitled "Mathmagic" on the web. I like it`s

premise: to enhance student communication, computer, and problem-solving

skills. The computer skills are necessary because it is a

telecommunication/web program. The communications skills are utilized due

to the need to interact with an NTP (NET TEAM PARTNER) that might be located

in a nearby city or across the country. Finally, the problems are fun,

process-oriented questions that deal with logic and hypothesis testing. One

sample problem asks students to find a heavier immitation gold coin amongst

many real gold coins with as few uses of a scale as possible. The program

is also offered for all grades k-12, but I did notice some overlap in the

questions. The location for this program is

http://forum.swarthmore.edu/mathmagic/particpate.html

1. The Math Forum

http://forum.swarthmore.edu

I found this site to be quite interesting and informative. There

was a great deal of information that could be activiated. One could click

on "Math Education" and read about new directions and issues in pedagogy.

It also provided information on research, math organizations, and math

journals.

2. Mega Math

http://www.c3.lanl.gov/mega-math/menu.html

The site is a collaboration of the work of teachers,

mathematicians, students in education and many others. One can explore

many different math topics such as standards and algorithms. It also has

information on different activities.

3. Science and Math Carnival

http://www.ca.sandia.gov/outreach/carnival-cover.html

I found this site to be very interesting. This is definitely a

site I will amke use of in my future as a teacher. It showed many

different exciting and hands-on activities that integrate math and science

(and computers).

4. Campbell-Kibler Association

http://www.tiac.net/users/ckassoc

This site provides information on research being done to promote

gender equality in mathematics and science teaching.

This site offers a variety of lesson plans with instructions.

It also contains different subjects connected with math.

Its definitely a source which teachers will find helpful.

http://www.yahoo.com/Science/Mathematics/Education/K_12/Lesson_Plans/

While browsing the Internet I found a lesson plan for math education grades

K-2. Since I am a elementary education PK-3 major, I found this especially

interesting. The title of the lesson is "Shopping" and what follows is a

brief description of the lesson plan.

Each child is given a set amount of change. The particular coins each is

given is determined by which coins have already been introduced to them and

which ones they have prior experience counting. Each child is given a set

amount of work in any subject that they need extra practice on before they

are able to visit the 'store'. As the student completes the assigned number

of problems (i.e. five addition problems), they bring the work and their

change to the store where they count their money and decide what to buy

while the teacher corrects the problems. The teacher or student helper is

then the store clerk and takes the change from the student. The student

must tell the clerk how much change they are due, if any. II like this

activity because it provides young students with an opportunity to learn

money skills in a realistic manner as opposed to worksheets. I also know

from experience that this is something most children of this age would enjoy

and find motivational. I have two boys ages 6 and 4. They find money

fascinating. They love to hold it and count it, whenever we are at a store

or restaurant they want to be the one to pay and receive the change. This

activity is a great way for children to learn money skills as well as

practice their addition and subtraction.

I looked at many different math sites on the web, however, there was

one that I found to be particularly useful. It was called "Ask Dr. Math."

----forum.swarthmore.edu/dr.math/dr-math.html. I found this site looking

under interesting sites for kids. Since computers are becoming so common

place now I thought I would see what was out there for kids in terms of

mathematics.

This site was really a forum all different levels of math. People

can send math related questions to the "math doctors" who will e-mail them

back at quickly as possible. There was a place for elementary, middle

school, H.S., and college level math questions. It allowed you to view old

questions in the archives and had other interesting information. One part

provided projects for teachers, parents, and students. A wide variety of

math questions were entertained and it seemed like a ver useful web page. I

think it could be used as a great motivational tool in the classroom.

For this assignment, when I got on the net I was very surprized at the

amount of stuff is out there. I found a Homepage by Terri Santi. The

title is "A HOMEPAGE FOR NEW MATH TEACHERS" The title caught my eye at

first but as I read I discovered some very good advise. She offered

pointers and warnings such as..."be careful of those who claim to have all

the answers and also be aware of packaged curriculums." She says there is

no one good way to teach every student. These are all things I have been

very aware of and that I believe strongly in. She also says, "You must

keep a balance between teaching skills and concepts and problem solving.

Some students will have trouble problem solving or even working well in

groups if they have very poor math skills or if they haven't grasped basic

concepts."

She also had 9 different topics to click on and explore more of the wisdom

she has aquired after 20 years of teaching. I found her homepage very

inspiring.

A representative from the Madison Metropolitan School District came to one

of my methods classes last semester and introduced us to a browser for

children that the school distract recommeds to their faculty and students.

It is a branch of the "Yahoo" browser and is entitled "Yaholigans". All of

the material found through this browser is related to children, their

interests and their educations. The material, of course, includes web sites

related to all dimensions of math.

Topics such as the history of theories and the origins of ideas are found

here. In addition, practical help from high school students can be found

along with games, puzzels and sample problems.

The following is a list of address mapping the route that I took to find

information of geometry.

http://www.yahooligans.com/Science_and_Oddities/Math/

http://tqd.advanced.org/2647/main.htm

http://tqd.advanced.org/2647/geometry/geometry.htm

first of all, i would like to say that i was OVERWHELMED by how many

math-related web sites there are. truly staggering! it was fun to look

through them at first, but the weight of all that technology got to me

after a while. good thing i found one i liked early on!

second and finally, i recommend you to check out Houghton Mifflin's web

site. i was a bit skeptical at first as they are a gigantic publishing

company, but it's actually pretty good and has a million links to other

sites. the good thing about it is that it's relatively easy to find your

way to the practical, useful parts of the site. other sites offer similar advantages (i.e. "500 easy to use lesson plans!"and stuff like that) but

they often take ages to get to. the houghton mifflin one (the address is:

http:/www.eduplace.com/

i liked that it has a quiz for kids from K-12 based on math skills. there seem to be many places like that for kids, parents and teachers. there is a nice mix of stuff for each of those audiences.

the home page is divided up into these sections: what's new, sign in, help! i'm new, awards, feedback, houghton mifflin home page, and school division addresses. from one of these (i forget which one exactly) come several options: project center, parents' place, kids' clubhouse, technology center, social studies center, math center and reading/language arts center. many options for fun things!

A site I found interesting was one titled Constructivism in Math Education. It discussed the importance of creating classroom environments allowing for discovery in math, rather than the traditional lecturing, and "transferring of knowledge." It stressed the importance of teachers' looking for different methods for teaching individual students, and active learning in students rather than listening and memorizing. I find this especially interesting, as I'm going into special education (behavioral and emotional disabilities) and I think this will be quite relevant with this particular student population. Quite often, in special education, it is impossible for a student to learn through traditional methods.

I found a great web page about an elementary math program that is part of a bilingual/bicultural program in the San Jose Unified School District. The topic really fascinated me, so I printed it out. It sounds like an excellent program. See you in class tomorrow, hope you enjoyed your weekend! Mehan Murray

I found a web site that has a lot to offer. The address is:

http://www.clarityconnect.com/webpages/terri/terri.html

This web site is entitled "A homepage For New Math Teachers." I found it to be very informative. It included sections from how to teach a clear lesson, multicultural mathematics, and resources for new teachers. This web site was very well thought out and included an ample amount of information for anyone pursuing a career in math education. Again, I'm sorry that it has taken me so long to respond to this assignment. In conclusion, I hope that you enjoy the web site as much as I did.