I too was new to Tiny Tap.
I made a time through the Homeroom teacher to sit with the student to explore Tiny Tap further. We looked at the example games on the site and play with a few of them to further understand what you could do. We then made an agreement to find out more ourselves and to meet again to create an app.
As with all technology use, I like to document the learning or to create something that furthers the learning. The class had been learning a lot about counting money so we decided to create a game about counting coins.
In my mind I mentally went through the steps that would be necessary to create the app. I purposefully wanted to use real items so that the students would be having to count coins to create their different answers.
Finally we added some voice recorded instructions such as 'Tap on the pile of coins that make 43 cents'. When all the instructions had been added the app was saved and uploaded to the Tiny Tap server by the teacher and made private which means that it can't be accessed unless you have the URL. The URL was copied and a QR code created so that it can be scanned at school by other students wanting to try out the app.
Here are some screenshots from the finished app!