By Samuel Hansen from Flickr |

The big question to start with is "wifi or not wifi?" On the web, start with Wolfram|Alpha and Desmos.

I also have to give a shout out to GeoGebraTube which on a mobile device automatically optimizes sketches for mobile use. Input boxes and some other features don't work. It's worth noting here that there's a Kickstarter for a free GeoGebra for iPad app. I think they're having difficulty because it's hard to perk something which is going to be free. Very worth of our support as a community.

There's a lot of video lesson archives, such as ... you know, but I'm not going to cover them here for fear of terminal irony. Vijay recommended Fraction Basics which does interactives plus video and has some free samples. (There are a few with the model of free video app, buy the content.)

**The Calculator**

If you have an iOS device, you should not need a calculator anymore. However, I have yet to see a calculator that combines regression with the nice graphing and computation that's available. Who will finally save us from TI's decades of benevolent tyranny?

- Wolfram|Alpha - the reasonably prided app. I also like the course focused variations that make the interface more direct for students. This I have used with students and it is powerful.
- Quickgraph - free, also Quickgraph+ for 1.99. Good computation, nice interface, good touch interaction. (Worked with one of the authors, Alejo Montoya, on ParabolaX when he was at GVSU.)
- Free graphing calculator - upgrades to Scientific graphing calculator. Both very serviceable.
- Calculator Pro -free scientific calculator. No graphing but faster for computation than the others. Simple and clear.

**Curriculum**

Note that there are games here, but they are pseudo-games. The game structure is gamified content, as opposed to be a game that also addresses content. I obviously don't have a good way to describe this yet. I'm not against gamification, but think if it's overused it will have a short shelf-life.

*Secondary*

- Dragon Box - winning awards and notice left and right. $3 or $6.
*Content*: solution of linear equations. Should help students learn which manipulations are permissible, and maybe even choose which manipulation is desired, but I have qualms because there is no algebraic reasoning as to why we can do these things. My 8th grade daughter even noticed that she could figure out how to solve anything, but didn't know why anything worked. Transitions kids from pictures to regular algebraic notation. Clever and really well executed, but possibly dangerous as instruction. I'd use it as an alternate representation after some inquiry. Christian Bokhove is a big fan and pointed out that it's multi-platform. - ParabolaX - our GVSU contribution to algebra games.
*Content*: factorable quadratics. Designed by Alejo with Char Beckmann. The idea of the game is to use game conditions to gain students experience that supports later symbolic understanding. - Sketchpad Explorer - free. Let's you explore Geometer's Sketchpad files on the iPad. Key Curriculum was nice enough to send along the link to their sketch sharing site: Sketch Exchange

*Elementary*

- MathEvolve - Lite and $2. The Dragonbox of elementary number operations. I wrote a post about it already.
- Everyday Math Games like Top It. Usually $2. Love it or hate the curriculum, they have some excellent number games for computation practice. They were an early leader in putting them online, but that was only accessible to schools using the curriculum. Now they're apps, so everyone can have access. Follow the iTunes links from Top It to see the full selection. (No easy way to link to that.

**Tools**

- Protractor 1st - free. A super-protractor.
- Geoboard - free. Infinite rubber bands. Finally.
- Number rack - free. Rekenrek with clicking beads, even. Great number representation.

**Games**

- Motion Math - $2 each. Really a stand out in this category. Get the feeling of a game, use the full range of input of a mobile device and they're making several games that are new and great. Try starting with Motion Math fraction game.
- 24 game - $1. Great IRL and just as good as an app.
- Set - $5. Remember that's cheaper than an actual set of Set.
- Entanglement - $2. Graph theoretic reasoning that's really absorbing.
- Pick-a-path - free. Interesting computation and estimation game from the NCTM.
- Concentration - free. Early number representation matching game from the NCTM.

**Wonder**

- Jeff Week's Geometry and Topology software. Great, free stuff. Here's his iOS stuff. All free and multiplatform. Josh Bowman pointed this stuff out - thanks!
- iOrnament - $1. Great reflection and rotation symmetry art program, including all 17 wallpaper groups. I cannot stop playing with it. Kaleidoscope Drawing Pad is similar in spirit but more limited and free. (Still very fun, with different drawing action.)
- Minds of Modern Mathematics. Free. Interactive timeline of great mathematics achievements. Must have.

**Future**

- Soulver - $3. Interesting effort to blend verbal and symbolic representations ... not sure if it's there yet, but I like where it is going.
- Mobimath - Lite or $1. Needs cellular to do distance, but still does angle of elevation. This kind of real-time data collection will be awesome once it's smoothed out. Even just the angle of elevation bit is neat, though.
- Loopy - free. Trying to push the boundary of an interactive virtual manipulative, but it doesn't quite work for me yet. They're onto something neat, though. Free, so give it a try.

This also doesn't get into the tools that students can use to record or create their own content. Paul Macneil recommended Explain Everything ($3).

Hopefully this is a good starter selection. What's missing? For what objective or classroom activity would you like to see an app? Do you know somewhere where the various instructional materials are written up?