Problem-solving & Its Inspiration To Mathematical Education

!IIJWM~CIYt~ & 115 I~UA1XI4 10 MAWMA1ICAL F1IX~A11ON (ABSTRACT) Problem-Solving posses an quite important position in mathematical education, which is also inevitable tendency of mathematical education抯 development. In this article, firstly we抣l analyze the back ground of Problem-Solving, explaining and advocating importance and inevitability of Problem-Solving, which is a perfect method to comply with times?tide; then giving the definitions of 慞ROBLEM?and 慞ROBLEM-SOLVING? expounding the relationship between problem raise and Problem-Solving, psychoanalysis and four reasons why Problem-Solving becomes so important This article emphasize on inspiration of mathematical education from Problem-Solving 1. IDEAR UPDATE: ideas of mathematic, courses, teaching, learning and talent. 2. TEACHING MATERIAL CONSTRUCTION: analyzing unsuitable Problem-Solving in senior teaching material at present and make four suggestions. 3. CLASSES DESIGN: emphasizing on explaining design principles which include: creating situation of problem, uncovering the process of thinking completely, reflecting rediscover and recreation, attaching importance to strategy of resolution, strengthen mathematical modeling, paying more attention to raise and solute the problems of background; thinking highly of training students? ability of innovation. 4. TEACHING MODEL: analyzing actual teaching model emphasizing on practices and building classes teaching model which is on basic of Problem-Solving. 5. EXAMINATION PROPOSITION: regarding examination as breakthrough gap of Problem-Solving, taking test problem as guidance, examination proposition must realize 慒IVE TRANSFORMATIONS?...