The Teaching Models of Mathematics Problem Solving and Mathematics Experiment

The teaching of mathematics problem solving and mathematics experiment are both new models of mathematics teaching.They come from modern mathematics development.The teaching of mathematics problem solving contains four phases:understanding problems;analyzing the background of problems,finding the relationships among mathematical objects;setting up and solving mathematical model; review,verify and generalize it.The teaching of mathematics experiment contains five steps;building mathematics situations;actions and experiments;discussion and communication;induction and conjecture; verifying the conjecture.