Thus the way a teacher judge his/her capability to organize and execute the course of action required to attain designated types of performance in mathematics like problem solving may likely affect the way they approach the task. So, attempting problem solving tasks in mathematics by in-service teachers depends on their level of mathematics self-efficacy as revealed from this study. In other words a teacher with a high level of mathematics self-efficacy will be willing to expend energy, effort and time in solving problem and encouraging his student in the act of problem solving. On the other hand, a teacher with a low mathematics self-efficacy may not be willing in exerting energy, effort and time on mathematics problem solving. Such a teacher will hardly encourage his/her students to persist on solving mathematical problems they might have considered too tough to handle. It may be concluded that teachers with high mathematics selfefficacy are likely to be more apt in fostering and encouraging their students to tackle mathematics problems of all colour-action whilst teacher with low mathematics self-efficacy may not be enthusiastic and committed in encouraging their students to embark on problem solving in mathematics since they themselves are not kin at problem solving as teachers model the behaviour they wish their students to exhibit.