Title: The Thoughtway and Teaching Study of Mathematics in Middle School
ABSTRACT
Based on the study of mathematics syllabus of middle school, some relative documents on mathematics thoughtways and teaching practices, the paper gives a conclusion and points out there are some commonly used thoughtways, after which the paper emulates some relative teaching cases and elaborates on its teaching efforts.
Key words: the thoughtway of function and equation
the thoughtway of combination between numeral and form
the thoughtway of discussion by classification
the thoughtway of sorting and transformation
 method of mathematical inductionmethod of undetermined coefficients
method of substitutionproof by contradiction
method of completing the squaremethod of coordinatemethod of analysis and synthesis