High School Mathematics Problem Solving Instructional Design

Ancient China, "Liu Hui", mathematician Polya's "How to Solve the table" are carried out around the study of mathematical problem solving, from the cognitive revolution 80 years ago to the 20th century, scholars from abroad through "trial and error that epiphany that "the information processing theory and so a series of problem solving, since the 80's I had after the education.reform by reform, opening up and began to explore the impact of problem-solving. "Problem solving" as a trend in mathematics teaching has been recognized by educators at home and abroad. China's "High School Mathematics Curriculum Standards," also clearly want to improve their mathematical problem solving ability, and this capacity increase is achieved in the teaching process.To achieve the purpose of teaching is teaching to improve the overall quality of students the most basic ways, and teaching is a prerequisite for the success of effective instructional design, with good instructional design in order to have high-quality teaching, will have good teaching practice, teaching activities can only be successfully carried out successfully.Instructional design is the formation of the 60s in the 20th century and the development of a discipline, behavioral design patterns of teaching, constructivist instructional design model, Dick-Cary instructional design model system gradually come out from China and other educational psychologists Shao Ruizhen Modern Educational Technology of the angle of China's mathematics teaching model, "mathematics curriculum standards," the advanced concepts as the basis, in the "people-oriented, people's lifelong development-oriented" basic concept to develop students discover and solve problems ability.Based on the factors that affect problem solving, basic design principles of mathematics teaching, mathematics teaching basic design philosophy, combining domestic and international Research and teaching practice in high school six months to design a number of mathematical design case.In the design of my teaching to make students participate in classroom activities, students have their own space for independent thinking, on some issues, teachers will give students some proper inspiration, the purpose is to train students the ability to ask questions, and only made. Problems to solve the problem in order to better infiltration mathematical thinking in the application of mathematical problem solving is to enable students to rote problem-solving approach, but gradually raise questions, inspire students, while teachers are teaching students actually problems to be more questions to the issues raised one by one to solve, the last of this mathematical problem is solved.Allow students to discover their own strategies for solving problems, in the constant exploration to try and improve the ability of students to think mathematics in order to enhance mathematical problem solving skills.