This research is the object to investigate these thing; how do teachers undertaking at the spot classrooms to recognize performance assessment and how do they decide to question and how go the present practiced state and what is the problem points in the present performance assessment. Additonal things of problem point like a research object are following; Lets look over recognition, actual situations and various problems for mathematics performance assessment of elementary school teachers. Concerning question papers, the problem largely lie in 4 regions, that is to say the recognition of performance assessment, the current state of affairs in practice, deciding questions and problems of putting theory into practices, of the 480 teachers-the object of our studies-about 380 returned our questionaire. However, as there were too many in the age range 30 to 40 are excluded 80, choosing 300 to us as data in our analysis.