I agree, that using examples on class will help students to understand and practice the subject. However, I love to prove and explain where these formulas or equations came from. Then using these formulas will be easy because my students and myself agreed on all the terms of the formulas. Also, I agree that practice is very important
First, METACONGITION, it is like judging your own thoughts, and be aware of yourself as problem solver.
Some strategies I use in classroom are:
1- Break the ice between the students and myself by letting them understand that we are equal partners in the learning process.
2- Encourage my students to ask questions. When students ask questions, they start to be involve in the learning process.
3- Throw these questions back to the class, and students will hit back.
4- At each objective of the lesson I ask my students if they understand or not. If a student express that he/she did not understand, I will erase the board and explain it again. Most of the time it is not about what teachers say, it about what they hear.
5- I make my students work the problem with me in class. For example; if the lesson about bending stress, and I need first to find the shear, and moment diagrams plus the moment of inertia…I ask my class to work as groups to figure out all the above, then I add what is the bending stress. So, I use what they already know to be able to apply these concepts to view the context.
As McGuire mention; we are excellent teachers, but do we help our students to be active learners!!!
Community is responsible to guide its children to how to learn. To learn, each student is the teacher of him/herself…and that will help our students to know to write, read, and be organized ready to learn