As a tutor who has worked in at a community college in Washington state for over 8 years, I have worked with High school students in the Running Start program, older adults returning to school, students who come from other countries, and mentally challenged students. The one thing they all have in common is that they have difficulty multiplying and it appears as if they've never learned the multiplication table. There are games currently available that help children improve their multiplication skills, however they don't utilize the table.
It is important to base my game on the multiplication table because then students will start making the connections between numbers that they are currently lacking. For example, many students don't realize that if a number ends in a 5 or a 0, that number is a multiple of 5. Another example is that students don't recognize when a number is evenly divisible by 2.
The game that I am proposing is adaptive. Also, players can enjoy the game individually or by challenging other players. It would start with a 10 by 10 multiplication table. As an individual player, people would be asked to fill out the multiplication table against the clock. They could track their improvement by how fast they can fill out the table. As they improve, the multiplication table would grow by one. In other words, once they master the 10 by 10 table, the game would present them with a new challenge of an 11 by 11 table. The game would keep challenging the player until a table of 20 by 20 is achieved. The game will have many rewards as the player advances as well. Fireworks, cheers, applause, a shower of gold coins, and happy animated people doing a triumph dance are all suggestions for rewards. The game could also have a setting to help people notice when they've entered an incorrect answer. For example, if you enter a 24 as an answer for 5 X 5, the game would beep at you. The game would be scored with a combination of time to fill out the table and number of incorrect answers.
The game will also be online (and free) so that players from around the world can challenge each other. There could be up to 4 players competing to fill out a table. The competition aspect will help keep players motivated to improve their skills.
Lastly, the presentation of the game should be uncluttered, user friendly, and designed to be attractive to females and males of all ages.