数学知识不确定性的价值及其实现

The Value of Uncertainty Mathematical Knowledge and Its Implementation

数学知识一直被看作是确定性知识的典范,然而数学知识也具有不确定性。当前的数学课程过于强调确定性。这一做法限制了教师在教学中的主体性地位,窄化了数学教学内容,阻碍了学生创造力的发展。数学知识不确定性的价值是多方面的,它为数学学科的繁荣提供了可能,为教师教学创造提供了空间,激发学生学习的探究欲望。要实现这些价值,在教学中必须做到以下几点:注重确定性数学知识的条件的教学,适当地在数学课程中增加不确定性内容,坚持数学教学的开放性和对学生个性化的评价。

Mathematics knowledge has always been regarded as a typical model of certainty knowl edge. However, it also has the characteristic of uncertainty. Nowadays, mathematics curriculum too much emphasis on its certainty, which limits the subjectivity of teachers＇position in their teaching, narrowing the content of the mathematical teaching, and hindering the development of students＇ crea tivity. The value of uncertainty mathematical knowledge is various, it offers the potential for the pro spersity of mathematics, provides space for the creation of teaching and stimulates students ＇ desire to explore. To realize these value, we must do the following things in our teaching：pay attention to the conditions of teaching deterministic mathematical knowledge, increase the uncertainty in mathemat ics curriculum content appropriately, adhere to the openness of mathematicas teaching and individu alized evalution for students.