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Lists 5 free analytics apps for instagram, including reviews of each: Statigram (web app), Followers + (iOSapp), InstaFollow (iOS app), SimplyMeasured (web based, free in exchange for 1 tweet about the app), Nitrogram (web app). Also mentions Webstagram an app that generates network metrics on most popular hashtags, keywords, etc.

free site which includes math and science. Users have the ability to create playlists as well as use resources on the site ranging from lecture to multimedia graphic demonstrations. Also includes links to other free resources on many subjects

List and descriptions of 8 free Twitter analytic tools. They are very similar but still have specific benefits depending on your strategy/needs.

MIT Open courses, they're free and cover a wide range of subjects including math, science, humanities, etc.

Twitonomy is free to use and features visual tools and filters to analyze Twitter accounts in a number of ways. Can also back up and export to Excel.

Free tool that provides quick analysis of any twitter account. Used ODULearns as an example in this link. Could be a good, free source of instant feedback/info.

This is a free site which has math videos as well as a whole practice system. It also includes videos for science, finance, humanities etc. so it could be a great site for a lot of people. It does require you to set up an account to access the content. There's an interesting story to the creation of this non-profit if you're interested here: http://www.youtube.com/watch?v=gM95HHI4gLk

Details and examples of research resources both free and restricted. Further analysis on which resources work best with certain types of assignments with descriptions of each resource.

Free tool/widget that focuses primarily on monitoring your account's growth. Premium accounts available for more in depth analysis.

This tool can monitor a few different social media apps simultaneously, but that feature isn't free. https://wiki.twentyfeet.com/display/TF/Twitter+Metrics - specifically lists the ways TwentyFeet measures/records Twitter content: Reputation Indicators, Lists, Conversations, Followers, etc.

Includes a free trial and is a much more affordable monthly option. Hourly updates, interactive charts, excel export - very good balance of visual and more traditional info presentation.

"UK-based Retweet lets you sync up your Twitter account to find which of your tweets were the most popular, a great trend-tracking tool for organizations to gauge their Twitter strategy success."