Students In Junior High School Algebra Teaching Geometry Intuitive Practice Research

Since the formulation and implementation of full-time compulsory education mathcurriculum standards (revised)"since, in this more than a year, causing widespreadconcern in the industry, compared with the previous experimental version, the" standard"toomany "new" things, which affect than ten core concepts."Geometric intuition" weshould pay enough attention to, because "geometric intuition" can help students to betteridentify problems and questions, can help students understand and Applied Mathematics,help to improve the students to analyze problems and problem-solving ability. Bymeans of geometric, students can create mathematical models to solve practicalproblems; geometric intuition also helps students innovative sense, and so on.Geometric intuition exists not only in the teaching of geometry, but in the entiremathematical learning process plays an important role.Geometric intuition as a mathematical research and mathematics teaching is oneimportant way, this study is based on geometric intuition as a core concept of the latestchanges in the revised version of the curriculum standards, based on the geometricintuition an important role in junior high school algebra, geometric intuition based onthe junior high school mathematics teacherscognitive status quo, based on the researchneeds of junior high school the algebraic geometry intuitive teaching strategy to doaround the geometric intuition of the following aspects:(1) A lot of information through various means, learn more about the visualgeometry has been content. Geometric intuition word first appeared in the high schoolmathematics curriculum standards, high school mathematics teaching by means ofgeometric solve mathematical topics more articles, junior high school algebra teachingand learning about geometric intuition culture strategy articles less.(2) The geometric intuition and related concepts for resolution. This study based onthe "standard" of the intuitive and geometric intuitive content described on thegeometric intuition and Shuxingjiege, geometric intuition and mathematical modeling,geometric intuition and sense of innovation, geometric intuition and intuitive geometricmutual relations and differences.(3) Develop a geometric intuition theoretical framework. By analyzing the intuitiveprinciples of Comenius, the concrete and the abstract theory of Mr. Li Bingde andFreudenthal’s "re-creation" of thought, to build geometric intuition culture theoreticalframework.(4)Combined with the geometry intuitive theoretical basis, from the junior highschool algebra teaching, explore, develop students geometric intuition measures: Withthe graphical representation of the mathematical concepts; Using a number line to solvethe absolute value inequality issues; function of the image reveals Function and Inequality the nature; by algebraic expressions geometric meaning; tectonic graphicsreveal Applied Maths essential relationship.(5) An Analysis of the effect of the geometric intuition mathematics teaching,select North High School in Chongqing Experimental School first grade two classes domicro-teaching experiment, take the first grade class for the experimental class, anotherclass for the control classes, from April2012the beginning to the end of January2013,trying to study strengthen the impact of the the visual geometry teaching and learning ofstudent achievement and mathematical thinking. From the experimental results, thegeometry of the experimental class of intuitive thinking and math scores than thecontrol classes.(6) Through the study of geometry in junior high school algebra teaching cultureintuitive asked the advice and attention.Finally, expect this study of junior high school algebra geometry intuitive trainingand teaching practice play a reference role.