Research On Theory And Practice Of Instructional Design On Mathematical Problem Solving

Instructional design on mathematical problem solving is a systematic process applying theory and technology related to modern mathematics learning theory, mathematics instructional theory and psychology , diffusing theory and instructional media.To analyze instructional question of problem solving, to determine instructional objectives and requirement , to design strategic scenanrio, trying out scenario for instructional question resolving, to evaluate trying out result and improve design based on the evaluation.This essay discusses instructional design of mathematical problem solving in three espects . The author's points are (1) Mathematical problem solving should be major objective of mathematics education. Ability of problem solving is different from learning results of concepts, proposition and rules. We must specially do research on instructional design of problem solving. (2)Instructional design of mathematical problem solving should be built on psychology theory, learning theory, teaching theory and consider the principle of clarity,matheaiality,enlightenty,expansibility and integrity of the design.(3) Instructional design of mathematical problem solving consists of four closely related steps :to set up and to present teaching objectives, to analyze learning tasks, to design instructional strategy and instructional media and to evaluate learning outcomes.