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小数的乘法和除法在实际生活中和数学学习中都有着广泛的应用,是小学生应该掌握和形成的基础知识和基本技能。在这部分内容的教学中,学生感到困难的不是小数乘除法计算方法的掌握,而是对算理的理解和表述。特别是对一些学困生来说,对算理的理解不清晰,致使做错了题,也不知道错误的原因,最终导致错题连连,造成恶性循环。下面这几个例子就取自学生的作业:
The multiplication and division of decimals have a wide range of applications in real life and mathematics learning, and are the basic knowledge and basic skills that pupils should grasp and form. In this part of the content of teaching, students are not difficult to grasp the calculation method of decimal multiplication and division, but the understanding and expression of the arithmetic. Especially for some poor students, the understanding of the calculation is not clear, resulting in the wrong title, do not know the cause of the error, eventually leading to repeated problems, resulting in a vicious circle. Here are a few examples taken from students’ assignments: