Research On Schema-based Mathematics Teaching In Middle School

Research in mathematics education, the establishment of the mathematical problem schema has been generally in the study of the subject. How to help in teaching the students to create a schema is what we are striving for. Students learning in mathematics by cognitive load, so the knowledge learned in the learning process needs to be schematized, and each block of knowledge to establish the framework and structure of knowledge, the method established for each type of problem to solve solving model will eventually scattered schema integration, schema of a subject knowledge. When students encounter such problems or other learning and problem again, can mobilize the minds of the schema to be addressed.Previous studies, a lot of discussion on the schema, but it applied to the teaching rarely start from Dubinsky et al APOS theory, the establishment of the four stages of the patterns in mathematics teaching, that is, activitiesstage (Action), stage of the process (Process), the object stage (Object) Figure stage (Schema). These four stages, given a line and a plane perpendicular to the judgment of instructional design, research and select two parallel classes, come to the the schematized teaching strategies and traditional teaching mode of teaching effectiveness compared for Schema teaching mode to provide a specific operational mode.I tried to combine specific class instance, the traditional mode of teaching was transformed into schema teaching mode, and an example demonstration, sub-mathematical concepts lesson, Theorem explore classes, the math exercise class three class-based analysis, and do Classroom Record and lessonsafter the test, and the results were analyzed and summarized.