In my classroom we create avenues for student discussion as
well as problems of the week for students to explore. Students are given tools to go about solving
problems and then discuss various ways they each perceive their own
mathematical reasoning. Students spend
time exploring given problems of the week and have to create their own
understanding of how to go about solving the problem. During their exploration of problems of the
week, as well as group discussions, students are constantly finding ways of
applying their own problem solving strategies, reasoning, and critical thinking
skills. When students are initially
given problems of the week, as well as daily problems in class, they are given
time to explore their initial thought process with their group, discuss various
methods, and collaborate in their reasoning on how to go about approaching or
solving the problem.
Throughout the class, the students develop methods of going
about how to solve difficult problems.
Students learn techniques of how to approach problems where they may
feel they have no way of solving, and they begin to put to use the tools they
have learned up to that point. These
tools can be in form of formulas, equations, or any general mathematical
reasoning they have developed. In the
development of these tools of analyzing problems, students are also given the
opportunity to apply their analytical reasoning to everyday life and
media. Students are given content to
explore from an unbiased background to see the purpose of certain message they
are being sent. The purpose is to create
a critical and analytical mind that holds truth to a higher standard. Inflated opinion has no weight when it comes
to the logical reasoning needed to demonstrate truth in mathematics. Students are therefore learning ways of distinguishing
between truths and falsities in media.
The media students are exposed to often can come from the
wide range of technologies surrounding their lives and therefore the students
must build up fluency with such technologies in an educational environment. Students can spend time
Throughout the class, students are always working independently, as well
as in groups, as a way for them to become self-directed learners. We are starting a new way of going through
problems in class, where we give students time to work through classwork
without given any instruction. This will
build up their ability to find ways of tackling a problem without
instruction. After the first 5 minutes
we check in with the students and answer questions, discuss some strategies and
then let them continue working with the intention of reflecting at the end. The students are provided with this
opportunity to work and interact with their classmates on a daily basis. The teams they work in will be changed
regularly throughout the class every two weeks.
In these groups students are also working through POWs (Problems of the
Week).
When working with POWs the
students are each given a different task to work through in which they are responsible
for so students can get experience managing larger projects in groups.
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