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教学《互质数的概念及判断》一课时,我采用了“发现法”进行教学,收到了良好的教学效果。首先,在复习“两个数的公约数是有限的”基础上,出示一道讨论题。找出下面各组数的所有公约数,并找出这几组数的公约数的共同点。①3和7,②8和11,③14和15 学生运用已有知识较快地求出了每组数的公约数,通过观察、讨论,很快就找到了共同点:“这三组数中,每两个数的公约数只有1。”接着教师明确地告诉学生:“公约数只有1的两个数,叫做互质数。”要判断两个数是否是互质数,就应当看它们是不是只有公约数1。然后教师安排了几组题让
Teaching a “concept and judgment of each other” a class, I used the “discovery method” for teaching, received a good teaching effect. First, on the basis of a review of “The common divisor of the two numbers is finite”, produce a discussion question. Find all the common divisors for each of the following groups and find out the commonalities of the common divisions of these groups. ①3 and 7, ②8 and 11, ③ Students14 and 15 quickly obtained the common divisor of each group by using the existing knowledge. Through observation and discussion, they quickly found the common ground: “In each of the three groups, The common divisor for both numbers is only 1. ”The teacher then explicitly told the student:“ The two numbers that have a common divisor of only 1 are called prime numbers. ”To determine if two numbers are prime, consider whether they are the only convention Number 1. Then the teacher arranged a few groups of questions