新的数学课程标准中明确指出,要让学生经历观察、实验、猜想、证明等数学活动过程,发展合情推理能力和进行初步的演绎推理。课程标准对推理能力的表现做了具体阐述:“能通过观察、实验、归纳、类比等获得数学猜想,并进一步寻求证据、给出证明或举出反例。”这就说明:合情推理和演绎推理是相辅相成的关 The new mathematics curriculum standard clearly points out that students should experience the process of mathematics activities such as observation, experiment, guess, proof and so on, and develop the ability of reasoning reasoning and preliminary deductive reasoning. The curriculum standard specifies the performance of reasoning ability: “Obtain mathematical guesses through observation, experimentation, induction, analogy, etc., and further seek evidence, proof or cite counterexamples.” And deductive reasoning is complementary