“猜想思维方法”及其在数学教学中的培育

猜想思维方法在数学乃至整个自然科学领域都是一种重要的思维方法,猜想相对于证明具有优先性。要培养中小学的创新精神,要有我们自己的原创性科研成果,首先必须培养学生的猜想意识和能力。而数学作为自然科学之母,在这方面具有不可估量的价值和义不容辞的责任。在数学教学中,要把猜想的两种主要方法归纳法和类比法融汇其中,培养学生的猜想意识和能力。

Conjecture and its Cultivation in the Teaching of Mathematics

Conjecture is an important way of thinking in mathematics as well as in the field of natural science.Conjecture has a priority with regards to proof.The cultivation of innovation spirit in elementary school and high school students,and the formation of our original scientific research,require the cultivation of their conjecture awareness and conjecture ability.Mathematics,as the mother of natural science,has an immeasurable value and obligatory responsibility in this respect.Therefore,in order to cultivate students′ awareness and ability of conjecture,induction and analogy,the two major methods of conjecture must be applied to the teaching of mathematics.