My daughter learns multiplication at school and I was looking for an app to help her practice. But the apps I found were focused on testing knowledge more than actually teaching. So I decided to make an own app based on the experience I made learning with her. I was inspired by some techniques used in teaching materials at our school. Another more general inspiration is Dr. Keith Devlin: his coursera course https://www.coursera.org/course/maththink, and his blog http://www.profkeithdevlin.org.
The app follows the learning process I have experienced learning with my daugther. It uses a step-wise approach, first using a visualization to help understand, then practicing with and without this aid. I also think it is best to learn the numbers 1 to 10 in a particular order, which the app respects. There are many other features you will experience using the app including gamification elements. The goal is that the app will be self-explanatory, even to a child, and that it should be able to teach and motivate at the same time.
As the app is now ready I thought it might help others as well. This is a first step for me, I hope to continue developing apps like this for other areas of mathematics for children. I am grateful for any ideas and feedback.
Pettersson 