| Exploration is a way for students to understand the world and learn mathematics knowledge,and it is also an effective way for them to learn actively and make them all-round development.With the reform of basic education curriculum in China,changing study way and advocating inquiring learning have been placed in a prominent position.Problem is the heart of mathematics and the source of exploration of students.The theory of PBL is a mode of teaching to cultivate students’ ability to solve problems and learn how to study,which starts with the problem,and independent learning and cooperative as the main form.So,mathematics inquiring learning based on PBL theory is an effective way of suiting student cognitive rules to help them improve exploration ability and promote the development of mathematical thinking.With the rapid development of the information,information technology and curriculum i ntegration has become the development trend of educational reform.Information technology as an effective tool for students studying mathematics and problem-solving,it also provides a good environment for inquiring learning and provides a strong guarantee for students to make independent research and cooperation exchange.Firstly,the thesis makes a literature review about PBL theory and inquiring learning at home and abroad.Next,it describes theory of PBL in detail,introducing PBL systematically about connotation,mode processes and characteristics.On the basis of theoretical study,it explores general processes and methods of teaching design of mathematical inquiring learning based on PBL theory,and makes two study cases according to it.Then,two cases are carried out in the form of univariate comparison experiment.Finally,it makes interview of teachers to analyze the posttest of experimental and the control group,and makes a conclusion:mathematical inquiring learning based on PBL theory has remarkable results for students to improve problem-solving ability and the level of mathematical thinking.Due to the limited capacity of researcher,and limited relevant theoretical literature,the thesis can not make deep research in teaching design.Because education testing standards is single,there are many shortcomings in research.This paper expects to provide new teaching strategies for mathematics teaching by the research of mathematics inquiring learning based on PBL theory,in order to promote student learning and help teacher teaching,playing a reference role of promoting the development of teaching reform. |