Pythagorean Theorem Converse Theorem Of Junior High School Students To Understand And Teacher's Teaching Research

The Pythagorean theorem converse theorem "of the junior middle school stage geometry measuring and computing laid a solid foundation,and understanding of mathematics is more and more attention in the new curriculum reform,thus put forward the following questions:(1)the level of understanding of the Pythagorean theorem converse theorem in junior high school students?(2)the junior middle school mathematics classroom teaching status quo of teachers about the Pythagorean theorem converse theorem?(3)the junior middle school mathematics teachers about the Pythagorean theorem converse theorem of classroom teaching is how to affect the level of understanding of the Pythagorean theorem converse theorem in junior high school students?Selecting junior high school students and junior high school math teachers in Bole City No.9 Middle School as the research object,taking Gu Ling Yuan's mathematics understanding level as the research basis,investigating junior high school students' understanding level of the Pythagorean Theorem inverse theorem,through classroom observation to get the current situation of the Pythagorean Theorem inverse theorem classroom teaching of junior high school math teachers,and then combining with the interview of teachers and students to analyze the influence of junior high school students' understanding level of the Pythagorean Theorem inverse theorem classroom teaching status.Junior high school students understanding about the Pythagorean theorem of inverse theorem is as follows:(1)junior high school students to understand Pythagorean theorem converse theorem of memory level.(2)the junior high school students to understand Pythagorean theorem converse theorem of explanatory level slightly below the understanding memory.(3)the Pythagorean theorem in junior high school students converse theorem of exploratory understand level is very poor.The status of classroom teaching on the reverse theorem of Pythagorean theorem by junior middle school mathematics teachers is as follows:(1)junior middle school mathematics teachers do not pay attention to stimulating students' learning interest in the teaching of the discovery of the reverse theorem of Pythagorean theorem,and the experimental design is too limited,etc.(2)junior middle school mathematics teachers have three teaching methods for the teaching of the proof of the reverse theorem of Pythagorean theorem: lecturing teaching,experimental inquiry teaching and heuristic teaching.(3)the junior middle school mathematics teachers in the Pythagorean theorem of converse theorem apply link to strengthen training the student to the Pythagorean theorem converse theorem is simple to use and practical application,to student's request is limited to will use the Pythagorean theorem converse theorem for problem solving.Through the analysis of the junior middle school mathematics teachers about the Pythagorean theorem converse theorem of classroom teaching situation of junior middle school students level of understanding suggests that: Discovered in theorem 1 junior middle school mathematics teachers link teaching affects the student to the Pythagorean theorem of converse theorem discovery situation memory and students deep understanding of its connotation,affects the students to explore the understanding level.(2)the junior middle school mathematics teachers in theorem proving link teaching affects the students' understanding of "the same law";Affects the students' ability of exploration,prove mathematical laws and the student's understanding level sex.(3)the junior middle school mathematics teachers in understanding theorem using link notice to lower levels of consolidation,so that the students did better in the practice of regular exercises,but upon completion of a high level of test performance.Based on the above conclusions,this paper puts forward some advice,for junior middle school mathematics teachers' reference.