When I was a student, I think that it was important
for me to learn the math concept under the teacher’s guidance so that I
understood the concept before started to apply it to my daily life experience.
When I was a Grade 9 student, I did not feel comfortable to discuss the math concepts with other students but I was comfortable to share my opinion with the teacher.
Like the article mentions exclusive imperative which is one of the “Rotman’s
terms”. I used to reflect my
understanding with the teacher instead of my classmates because I used to use
the textbooks and practiced the textbook’s examples. However, as a teacher, now
I think that it is important for students to understand the concept through
social interaction by doing problem-solving activities and by reflecting on
their understanding with the other students. As the article mentions about Johansson
who thinks that teachers and students can use the textbook in various ways.
As the article mentions about the Rotman’s terms:
inclusive and exclusive imperatives. I think that using textbooks in school
or not is all depends on the content and students’ needs. I mean, for some
content, sometimes students have to use textbooks so that they stay on the
right path and learn topics by doing lots of practice. However, most of the
time students learn math concepts by explaining, proving and describing through
social interaction instead of using textbooks only one way. During my short practicum, I have noticed that
students or teachers do not have to stick only to textbooks in the school due
to technology and creating classroom structures. Both of them support students
to take risks to engage in discourse and to see themselves as capable of learning
Math. I have learned that students’ mathematical identities are connected to
their participation in a set of productive practices and processes of doing
mathematics.
Thanks for these interesting comments!
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