The Research Of Shanghai High School Students To Understand And Represent Mathematical Symbols

The paper mainly researches the understanding and representation of mathematical symbols and difficulties of learning mathematical symbols.Some conclusions after the survey and interviews for high school students:In the process of understanding mathematical symbols, High school students are best on identifying symbols and then semantic analysis, the latter are construction of meaning. For identifying symbols and semantic analysis, boys are better than girls, for the construction of meaning, boys and girls are almost. Specifically, High school students to accept new symbols are better to distinguish confused symbols. For semantic analysis, understanding the same sign in different contexts is best, mining the meaning of mathematical symbols hidden is followed, and the breadth of understanding the mathematical symbols is the worst. For the construction of meaning, the performances of high school students are poor, the choice of mathematical symbols is better than operations of symbols.Representation of mathematical symbols, mathematical symbols representing written language is better than using mathematical language representation written language, boys and girls are almost. Specifically, Using written language representation mathematical symbols, high school students tread to represent literally; Using mathematical language represents words language, high school students tread to use mathematical symbols,girls tread to use verbal representation.Difficulties of learning mathematical symbols, from understanding:accepting new symbols, correctly understanding the meaning of mathematical symbols, mathematical symbols linking with the mathematical concept; and applying mathematical symbols. Form the representation:representing the real meaning of mathematical symbols and correctly choosing mathematical language.