Procedure:
Introduction
Explain the lesson's aim: to enhance problem-solving skills by starting with familiar problems. Highlight the importance of confidence in learning math.
Practice Problems
Distribute worksheets with problems of varying difficulty. Allow students to start with problems they feel confident about, encouraging them to share their strategies as they solve.
Identifying a Problem
As students work, observe their progress and ask guiding questions. When a student encounters a challenge, facilitate a discussion about what made that problem difficult.
Breaking Down the Problem
Select the identified problem and break it down into manageable sections. Illustrate each step clearly, emphasizing key concepts.
Exploring Reasonings
Discuss different reasoning strategies that could be applied to the problem and investigate to better understand why these strategies work. Encourage students to think aloud and share their approaches.
Redoing the Problem
Have students attempt the original problem again, using their new understanding and strategies.