When visual representations are used to show arithmetic operations, students can develop mental math skills more efficiently. Furthermore, they develop a better understanding, not only of the operations but also of different contexts of the operations. I call these models of addition, subtraction, multiplication and division. Various concrete tools, an abacus, and number-lines are just a few of the ways that students make sense of mathematical operations. These lead to understanding different algorithms other than the ‘standard’ traditional north American algorithms that make more sense to learners.
The connected curriculum pathway plans are based on front-loading learning with a focus on developing different models addition, subtraction, multiplication, and division. Students spend time developing their own mathematical style and discover their preferences. The models become thinking tools for students to use to develop efficient mental math skills.
I have consulted with many teachers and school boards over the past 7 years on how to effectively develop and teach different models to their students. I can customize professional development for teachers who wish to learn more about this to increase the equity of achievement in schools.
Instructional videos COMING SOON!