Fibonacci presented both the current standard long multiplication and also an originally Indian method called lattice multiplication, which is faster and more compact for working with larger numbers. Ancient Indians and Chinese originally invented some of the algorithms. In this groundbreaking book Fibonacci presented many algorithms for working with Arabic numerals.
The method was introduced to Europe in 1202 in Fibonacci's Liber Abaci. All the multiplications are done first and then the additions. A lattice (a grid) guides the calculation. Lattice multiplication is algorithmically equivalent to long multiplication. I am so glad to have come across this great educational tool!" Being able to adjust the level of difficulty to suit their needs is also very motivating for the students. They also provide individualized feedback to each student, with an immediacy that is not always possible through pencil and paper practice. "The math apps by Esa Helttula allow students to practice and reinforce the specific computation strategies taught in class, with as much or as little scaffolding as necessary. Rita Zeni, Ecole Sandy Hill Elementary, Abbotsford, BC, Canada: It makes multiplying large numbers easier, and allows you to see it all visually"
"This was one form of multiplication that I’d never done before, but the app taught me very clearly.
The user can solve custom and random multiplication problems with small and large numbers. The app is very easy to use and it has an intuitive interface with customizable colors and other settings. Solving lattice multiplication problems is also excellent times tables practice. This app can be used to teach and study the ancient lattice multiplication method.
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