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.

I encourage students to ask questions and explore patterns before introducing formal methods. For example, when teaching sequences, I let students discover the rule by analyzing number patterns and then generalize the formula

2. Collaborative Learning

I often use group work where students solve complex problems together, each taking a role such as leader, recorder, or presenter. Afterwards, groups share their solutions with the class to compare different approaches.

3. Differentiated Instruction

I design tasks with different levels of challenge so that all students can engage meaningfully. For instance, in algebra, some students work on simplifying expressions while others explore solving equations with parameters.