Develop The Mathematical Questionable Sense During The Process Of Math's Teaching

The feature of the 21st education is the education of creation. The initial requirement of creation is to be adept at thinking and putting forward the questions that others didn't before. In current class teaching, teachers always pay much attention to how to design high qualified questions and to put forward hypothesis, then guide the students to solve the questions and test or verify the hypothesis, (to lead the students to learn to answer), but they neglect to set up class teaching circumstances in order to introduce. Intentionally, the students who ask questions actively during the class teaching.(to learn to query). I begin with the Questionable Sense, discuss the definition of Mathematical Questionable sense, and the theoretical basis of developing the "Mathematical Questionable Sense of students during the math class teaching, then point out the causes of influencing the producing of questionable sense of students, study emphatically the significance and principles of developing the Mathematical Questionable Sense of students in math class teaching. As well as several methods, in the end achieve the conclusion combining with tests.The Mathematical Questionable Sense in this article refers to a kind of psychological state of doubt; confusion, anxiety and investigation when the students realize the practical or theoretical questions are formidable or doubtful during their mathematical, cognitive activities (the learning of mathematical definition and concept, the formation of technique abilities and the solution of questions). Mathematical Questionable Sense bases on the abundant theories of psychology, education, educational psychology and mathematical educational psychology. In particular, in the point of teaching theory of modem math discipline and the history of math development, I expound the importance of developing the Questionable Sense of students in the math class teaching. Basing on the proceeding and combining with theteaching proactive and cognitive feature of students, I first advance the three elements of producing Questionable Sense of students in math class teaching, namely, the non-intellectual element. Secondly, I put forward several principles that we should obey during the process of developing the Questionable Sense in math class teaching: traitor principle, proceeding step by step principle, mutually increasing of teaching and learning principle and encouraging element, Finally, with the leading of preceding theories, I advance methods and point out the problems that must pay attention to in the process of teaching practice.1. Put off the time of generalization and give the students time to query.2. Think over the primary problems, which consist of 2 angles. One is the content in the textbook, which is relative to the teaching history. The other is the content in the textbook that needs to rediscovery and reinvention of the students, at the same time tell the students the structure of "the Model of Reinvention in math teaching".3. Pay attention to the basis and forming the cognitive network is the foot of fashioning the questionable sense of students. Only the students having grasped the structure, which is corresponding to the former knowledge can ask "why" when they are thinking.4. Pay attention to the rethinking of teaching. The purpose of "query and rethinking" in teaching is to give students space to discover explore, summarize and develop, fashion the ability of raising question and improve the ability of creation.5. Set up questionable circumstances and develop questionable sense. This is the emphasis of the article. In teaching, the teacher must set up the questionable circumstances scientifically; handle the material of question in due time, quality and degree in order to make students into the comfortable learning state. Only this can be good to developing the Questionable Sense of students......First, introduce the adoptable methods when the teachers design questionable circumstances:(1)Questioning on the beachhead of arousing students; Curio...