I use interactive methods, starting with answering the most urgent questions a student might have, then gradually start to address the topic exhaustively, showing its connections to everyday life issues, other sciences and topics. After solving 1-2 problems with a step-by step explanation and lots of drawing, formulae deduction, graphs etc., I will invite the student to start solving the next one...
I use interactive methods, starting with answering the most urgent questions a student might have, then gradually start to address the topic exhaustively, showing its connections to everyday life issues, other sciences and topics. After solving 1-2 problems with a step-by step explanation and lots of drawing, formulae deduction, graphs etc., I will invite the student to start solving the next one, similar ,on his own. I will closely watch and intervene whenever is stuck for whatever reason , s/he can ask me always, there are no silly questions. If the problem was solved with relatively moderate assistance than the next would follow with less intervention until the student will be confident and able to solve similar ones on his own. Then we will go to the next type of problems/phenomena/exercise etc. and so on until the necessary skills are acquired. Then we will wrap up the lesson and draw the consequences and I will give some homework for the next session.
My experience shows the students say they know the theory but cannot solve problems. It turns out that they do not know the theory or not well enough. Then then give a little try and as are unsuccessful renounce to further tries. So as the material is taught in the school, they do not progress but rather regress with their knowledge diminishing, becoming ever more blurred, unreliable-they lose self confidence and that is a the clear path for disaster. That is the moment when I have to intervene.