teaching while building on prior knowledge like before teaching quadratic equations i would first explore concepts in expanding or solving linear equations.

encouraging mathematical reasoning by tasking students to justify their solutions.

using real world concepts to link mathematics like ratios i give learners money and task them to share in ratio of their ages.

allowing students first explore the concept in groups so as to promote perseverance and deeper understanding.

1.) Creating large scale diagrams enable the learner to see clearly and save brain space by not needing to remember what was given and what they have already found. 2.) Student groups can also work together with more ease-each adding parts to the diagram based off of theorems and postulates they individually know. 3.) Large scale diagrams also allow for students to map out their proofs on the diagram with out accidently writing over important information.