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Major search sites for learning objects and simulations:

Each of these sites provides links to other sites, from where you can find learning objects and simulations. Below, I have included many of the specific sites I have found that I found useful, as well as some specific simulations.

http://mathdl.maa.org/mathDL/3
Put on by the Mathematical Association of America, this site is searchable by topic and by the program (Flash, Java, etc.) that each object runs through. Click on Digital Classroom Resources, which will bring up a search bar on the right hand side of the screen.

http://www.uwm.edu/Dept/CIE/AOP/LO_collections.html
This website has a large listing of collections of learning objects. Specifically, it details each of the different web resources, and explains what all they have available on their sites. This website was created by University of Wisconsin - Milwaukee in 2001, and has been updated periodically since then.

http://careo.elearning.ubc.ca/cgi-bin/wiki.pl?EngineeringTechnologyMathematics
This site is a wiki page (users can create and add to their site) dedicated to assisting UBC's Office of Learning and Technology. It has a useful listing of Engineering, Technology and Mathematics resources, all of which have fairly in depth explanations of what is included on the website.

http://www.uww.edu/icit/ltc/resources/learningobjects.html
The University of Wisconsin - White Water has put together this listing. While their listing is less Mathematics specific, their are several sites listed on here that are more focused on college level mathematics, and are more geared for your higher level students. Also, UWW includes a listing of how to use learning objects in the classroom.

Specific Learning object and Simulation Sites:

My personal favorites I found through my research:

http://nlvm.usu.edu/en/nav/vlibrary.html
This is the national library of virtual manipulatives. This is a wonderful site for using as demonstrations when manipulatives are expensive, or to have students work on (potentially as a station in an elementary classroom, or as a computer lab day in an upper level classroom). Manipulatives are sorted by grade level as well as by strand area. I especially like Turtle Geometry in the High School Numeration for logic sense, and ordering things, possibly as a preparation for geometry and proofs.

http://enlvm.usu.edu/ma/nav/doc/intro.jsp
As an extension, this site appears to offer lesson plans to go with the different virtual manipulatives. You can browse by course, or by manipulative.  Lessons include what standards it relates to, as well as how to use it in the classroom. This is an excellent site for a teacher who is not used to using the internet in their mathematics classroom!

http://nrich.maths.org/public/index.php
This site has a bunch of different resources. First, it has specific problems of the month, which students can submit answers to. Second, it has an archive of past problems. Put on by the University of Cambridge, with problems broken down into different stages, and different challenge levels, it may take a teacher a bit of time to get used to looking for problems and games that will fit their students at their particular level, but it is worth the time! All problems are open ended (sometimes called "rich" problems by OSPI of Washington) and have multiple different solutions, or solution methods. This would be a fantastic resource for problems of the week or for challenge problems. A general rule of thumb is through level 3 for middle school and through level 4 for typical high school, 5 for Calculus and beyond. Use the maths finder to find problems in many many areas.

http://nrich.maths.org/public/viewer.php?obj_id=2191&part=index&refpage=monthindex.php
A very very cool project on morse code, and how it was created based on time, and frequency of letters.

Other potentially useful websites with excellent resources:

http://mathdl.maa.org/mathDL/3/?pa=content&sa=viewDocument&nodeId=404
This program graphs functions, allows trace, solving systems, etc. This is an excellent alternative to some graphing calculator emulators. It is fairly user friendly and easy to graph.

http://www.math.uri.edu/~bkaskosz/flashmo/graph3d/
This is a similar graphing program, which runs a three dimensional graph program. Useful for those hard to draw functions!

http://science.kennesaw.edu/~plaval/applets/Riemann.html
Riemann Sum Calculator - useful for calculus class, very user friendly

http://www.ilumina-dlib.org/
Specifically, this lists many free and for cost links for different levels of mathematics and science. This site details each, and then provides links to where products can be found. These range from videos to project ideas. It is easy to narrow down searches, and can be broken down by subject area. Specifically items are geared for upper high school levels.

http://mathforum.org/teachers/
This is the "teacher's place" of the math forum website. I really like the number of resources available, specifically I like:
http://mathforum.org/te/
because it includes lessons for all different levels of students, and has amazing resources, created and posted by teachers, who are willing to share their great ideas. Recently I used their pascal's triangle unit, with much success: http://mathforum.org/workshops/usi/pascal/index.html

http://www.needs.org/needs/
This website has lots of resources and links to lessons for K-12 education to encourage students in engineering careers. My students have really enjoyed the West Point Bridge Designer program linked to off of this site.

http://www.smete.org/smete/
Click on find learning resources. Very searchable, easy to find quality simulations and other resources.

http://www.wisc-online.com/
Very cool objects - you must register (for free) to use, but then the objects available are interactive, students could use them and could learn quite a lot, on their own, or in the classroom as a demonstration. Objects range from basic algebra to higher level mathematics. There are also a lot of science applications.

http://careo.ucalgary.ca/cgi-bin/WebObjects/CAREO.woa
University of Calgary - listing of lots of web objects, mostly animated with instructions. Searchable data base. It appears you could also post things that you use. All give practice problems for students to check their understanding.

http://learn.midsouthcc.edu/math.htm
Shared Learning objects by Mid South Community College. These are powerpoint lessons on different topics. All include a pdf printable file, as well as the powerpoint. Most are fairly well organized, and provide a lot of detail.
 

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