Research And Implementation Of An CAI System For Plane Analytical Geometry

In current information age, the computer is popularized and applied extensively. The use of the computer has already infiltrated into every corner of the society, and becomes the indispensable important tool in our daily life.CAI (Computer-Assisted Instruction) is an important component of modern education, which provides the new thought and technology for the modern education. Many teachers actively develop and apply CAI courseware to assist the mathematics teaching, including the teaching of plane analytic geometry. However, plane analytic geometry is a course involving so many graphics that it is much harder to be taught. The existing drawing software has a difficulty in satisfying the requirement of teaching in practice. The teaching of plane analytical geometry is short of the suitable courseware resources in practice.Aiming at the practical difficulty and requirement in the teaching of plane analytical geometry, and an assisted instructional system based on the integrable teaching mode is designed and implemented suitable for the teaching of plane analytic geometry. The main contributions of this thesis are as follows:The shortcoming of the existing courseware is analyzed such as independently being incapable of choosing teaching material according to the practical requirement of teachers and students, integrity, fixity and closedness of courseware.Our discussion is concentrated on the constructivism theory. The integrable teaching design mode based on constructivism theory is studied. The CAI integrable ware has been implemented suitable for the teaching of plane analytic geometry.The geometrical transformation is carried out for computer aided drawing technology and two-dimensional graphics, from which some application-specific transformational matrices for two-dimensional graphics are derived, A drawing software is designed and implanted suitable for the teaching of plane analytic geometry.