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dynamic mathematics software for all levels of education that joins arithmetic, geometry, algebra and calculus. It offers multiple representations of objects in its graphics, algebra, and spreadsheet views that are all dynamically linked. While other interactive software (e.g. Cabri Geometry, Geometer's Sketchpad) focus on dynamic manipulations of geometrical objects, the idea behind GeoGebra is to connect geometric, algebraic, and numeric representations in an interactive way. You can do constructions with points, vectors, lines, conic sections as well as functions and change them dynamically afterwards. Furthermore, GeoGebra allows you to directly enter and manipulate equations and coordinates. Thus you can easily plot functions, work with sliders to investigate parameters, find symbolic derivatives, and use powerful commands like Root or Sequence. Workshops You are interested in visiting or giving workshops about GeoGebra? Here is the right place for you with dates, addresses and materials: * GeoGebra Workshops

award winning software that joins arithmetic, geometry, algebra and calculus.

"Ainsworth, Prain and Tyler  (2011) in a paper in Science argue that  drawing  can play a number of  important roles in learning:, namely: Drawing to enhance engagement - surveys have shown than when students draw to explain they are more motivated to learn compared to traditional teaching of science. Drawing to learn to represent in science - the process of producing visual representations  helps learners understand how scientific representations work. Drawing to reason in science - student learn to reason like scientists as they select specific features to focus on in their drawings, aligning it with observation, measurement and/or emerging ideas Drawing as a learning strategy - if learners read a text and then draw it, the process of making their understanding visible and explicit helps them to overcome limitations in presented material, organise and integrate their knowledge and ultimately can be transformative. Drawing to communicate - discussing their drawings with their students provides teachers with windows into students' thinking as well being a way that the peers can share knowledge, discovery and understanding."

Ever wondered what the internet looks like? Well, not like this site, but it does provide a stunning visual representation of thousands of the biggest websites and how they are connected geographically on the network. This is a great way to start student thinking about web and how we are all connected. http://ictmagic.wikispaces.com/ICT+%26+Web+Tools

These posters are wonderful representations of classic fairy tales!

Nice representation of the history of search engines

A pictorial representation of websites listed by category. Pick a site, Click and you're there.

this is a representation of the periodic table

With computers and technology, we have modern representations as well. or we have an interactive Flash located here; or a revised taxonomy here; or digitally applied here; or a whack of posters here; or connections to a Web 2.0 world here.

Create happy looping tones, beats, and music in your web browser. Useful for music teachers looking for a visual representation of rhythm, and arrangements of multiple instruments playing together. You can also share your "nudges" for play later via email, or direct embedding.

A physical representation of where the foreclosures are most apparent and therefore revealing the deliberate path of the subprime lenders.

This free project has students sharing their December Traditions. Students will create either a digital or paper/pencil representation of a December tradition their family celebrates. Using a Web 2.0 tool, students can add a verbal component to their drawing and then publish their work to share other students around the world. Finally, students and teachers will have the opportunity to view and comment on the work of other students.

The difference between advertised fast foods and what they really look like when bought. Photoshoot conducted by a professional, and images of actual food purchased are compared to the idealized version from advertisements. Great study for marketing and photography students.

Wow! That's an amazing representation of what I've always noticed, but never captured on film. This site would be a great addition to a unit on advertising and persuasion. I did such a unit in the past with really terrific results; see http://teachwithpicturebooks.blogspot.com/2010/05/as-seen-on-tv-media-messages-unmasked.html for some ideas I incorporated.

That's exactly what I was thinking too Keith; using the site in a lesson, or unit, about advertising, and how manipulative it can be. There's another site with images here, although it doesn't have any of the contemplative thoughts of the original bookmark (http://www.thewvsr.com/adsvsreality.htm).

Edraw, mindmapping tool

free mindmapping tool

Book cover blog - very cool! Critical discussions about what gets represented on book covers, issues of semiotics and politics as well as some interesting, beautiful or thought-provoking artwork!

And the price is this: facts learned in this way, and especially by rote, and especially at a younger age, take a direct route into the mind, and bypass a person's critical and reflective capacities, and indeed, become a part of those capacities in the future.

while it is necessary (and possible) to teach facts to people, it comes with a price. And the price is this: facts learned in this way, and especially by rote, and especially at a younger age, take a direct root into the mind, and bypass a person's critical and reflective capacities, and indeed, become a part of those capacities in the future.\n\nWhen you teach children facts as facts, and when you do it through a process of study and drill, it doesn't occur to children to question whether or not those facts are true, or appropriate, or moral, or legal, or anything else. Rote learning is a short circuit into the brain. It's direct programming. People who study, and learn, that 2+2=4, know that 2+2=4, not because they understand the theory of mathematics, not because they have read Hilbert and understand formalism, or can refute Brouwer and reject intuitionism, but because they know (full stop) 2+2=4.\n\nI used the phrase "it's direct programming" deliberately. This is an analogy we can wrap our minds around. We can think of direct instruction as being similar to direct programming. It is, effectively, a mechanism of putting content into a learner's mind as effectively and efficiently as possible, so that when the time comes later (as it will) that the learner needs to use that fact, it is instantly and easily accessible.