| Mathematics language (ML) is the tool of mathematics activity, the carrier of mathematics thinking, the signals of recording mathematics knowledge, the media of expressing mathematics thoughts. The history of science development proved that mathematics language plays a very important role in the developing history of science. ML is a kind of science language. Today, mathematics is applied more widely and more widely in various field of science, and the extent of mathematics application in today's society is higher and higher. To master ML accurately and use ML flexibly is the basic quality modern society members must possess. But, in the process of learning mathematics exists students incomplete, even wrong cognition to ML psychological deviation.To carefully study students psychological deviation to ML, to know the process of forming of PD, to get a clear understanding to the factors that results in PD in ML learning and to correct these PD effectively has positive and realistic meaning. To correct students' PD can fulfil students cognition structure to mathematics, implement students morality education function of mathematics, carry out quality education in mathematics teaching.By studying the process of information process and meanful theories of leaning, we think the formation of PD in ML learning has its reason.1.Incomplete perception is the starting point of PD occurred in ML. And perception is the beginning of learning, incomplete perception to ML can not realize overall cognition.2. Errors in the information process is the main reason resulting in PD in ML learning. The final forms of mental representation dominate students' cognition toit. The faults occurred in every period of inner process of ML all will cause incomplete mental representation, and then form PD of ML learning.3. The wrong knowledge and experience gained before are two kinds of factors affecting the formation of PD in ML learning. The students can be affected by their experience and knowledge gained before. The wrong information and passive experience all can affect correct structure of ML.PD in ML learning has its own forms of expression. On the basis of ML analysis, separately discuss the forms of expression of PD in learning Mathematics word language, signal language and graph language. Common PD in learning word language mainly showed in the following aspects: Ignoring some words and phrases, so result in the variety of intension and extension, understanding to word language is just on the surface, not a deep understanding; using special examples to instead the entire conception. Common PD in signal language learning mainly showed in the following: can't understand the objects the mathematics signals represent; Scare of extensive cognition to the mathematics objects which mathematics signals represent. Don't understand the meaning expressed by signal language. The same signal forms can express different meanings, and different signal forms can express the same meaning, if student separate signal language from its maths meaning contained in it, the ML they mastered is a kind of signal game without any meaning; not mastering various forms of signal language (signal language has many equal forms) or only mastering one kind or several kinds forms, the cognition to signals are not enough. Common PD in graph language learning mainly showed in complete conclusion direct perception to the graphs through senses and inaccurate mastering to maths information.For the sake of convenience of study, we divide PD in ML learning into PD caused lay conventional thinking and PD produced in process. ON the basis of document researching, we analyse the relevant factors which result in PD caused by conventional thinking, contaning: 1. Standstell mentality. Namely, the conception or language has widened its meaning, but the students thinking produces inertia and stay at the former place, this kind of meality in fact, is to use old attitudes treating new problems; 2. Effect of typical topic: once a topic becomes a model, this top... |
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