Current approaches in mathematics studies according to the new mathematics curriculum adhere to a conceptual
understanding of mathematics and emphasize investigation, problem solution, high-order skills and mathematical
discourse. The students are supposed to actively construct their knowledge and understanding, while the teachers
function as ‘mediators’ by asking questions, posing challenges and assigning investigation tasks, and help the
students to think in deeper ways about various concepts, ideas and mathematical contexts. To study and teach
mathematics in such a way is a very difficult task, because the ways of teaching and learning are very demanding
and creative, requiring, among the rest, deep knowledge and understanding of mathematics on the teacher’s part,
coping with the unknown on the student’s part, and much intellectual effort on both the teacher’s and the student’s
part. The implications of this research on the study program were expected while taking into account the findings of
earlier researches; these findings point at the importance of learning experiences that develop critical thinking by
means of various specially designed curricula. The findings of the present research are likely to help composing new
study programs and methods that can be based on the connection between critical thinking and the study of
mathematics, which this research brings to light. Thus, this research offers new possibilities of extending the use of
critical and creative thinking development programs, and for their integration into the formal high-school
mathematics curriculum.
Current approaches in mathematics studies according to the new mathematics curriculum adhere to a conceptual
understanding of mathematics and emphasize investigation, problem solution, high-order skills and mathematical
discourse. The students are supposed to actively construct their knowledge and understanding, while the teachers
function as ‘mediators’ by asking questions, posing challenges and assigning investigation tasks, and help the
students to think in deeper ways about various concepts, ideas and mathematical contexts. To study and teach
mathematics in such a way is a very difficult task, because the ways of teaching and learning are very demanding
and creative, requiring, among the rest, deep knowledge and understanding of mathematics on the teacher’s part,
coping with the unknown on the student’s part, and much intellectual effort on both the teacher’s and the student’s
part. The implications of this research on the study program were expected while taking into account the findings of
earlier researches; these findings point at the importance of learning experiences that develop critical thinking by
means of various specially designed curricula. The findings of the present research are likely to help composing new
study programs and methods that can be based on the connection between critical thinking and the study of
mathematics, which this research brings to light. Thus, this research offers new possibilities of extending the use of
critical and creative thinking development programs, and for their integration into the formal high-school
mathematics curriculum.
การแปล กรุณารอสักครู่..
