This is welcome and the immediate take home is that poor technique and hierarchy is your enemy. Engaging the lower third successfully empowers the whole class.
It is also true that the over achievers simply need to expand horizontally. That means self learning outside the curriculum. There are ample resources in Math and many other areas of investigation for them to work on and avoid boredom.
Careful breakdown of the steps does need to be better addressed as well. It also has to be made interesting. .
A Mathematician Has Created a Teaching Method That’s Proving There’s No Such Thing as a Bad Math Student
Examining class structure and approach.
How it Works
“Discovery-based lessons tend to focus less on problems that can be solved by following a general rule, procedure or formula (such as “find the perimeter of a rectangle five meters long and four meters wide”) and more on complex problems based on real-world examples that can be tackled in more than one way and have more than one solution (“using six square tiles, make a model of a patio that has the least possible perimeter”)”