Abstract: In this paper, we consider some fundamental feature of mathematical Problem solving and how they relate to its teaching. Specifically, we indicate the importance of heuristics and metacognition in the problem solving process. This leads to the value of the notion of scaffolding as a teaching tool which helps to model the problem solving process for the learner. Practical examples from classroom lessons are used to illustrate the concepts. We finally discuss the use of problem solving not just for its own sake but to introduce new mathematical skills. It is proposed that, although it may not be possible for students to discover every New skill for themselves this way, problem solving is a good technique for planting Seeds for new skills and hence enhancing understanding.