The problem of practice that I investigated for my action research project is based upon
the general question of: How can I create connections between mathematics and other subjects
so that they lead to the lifelong application of problem solving skills in the real world? Skemp
(1978) argued that students should mathematics through relational understanding to have a better
view of math. The argument is in favor of relational understanding because of the connections
that can be made and because of the connections that students will then want to make,
If people get satisfaction from relation understanding, they may not only try to
understand relationally new material which is put before them, but also actively seek out
new material and explore new areas, very much like a tree extending its roots or an
animal exploring new territory in search of nourishment. (p. 13)
This idea reflects the many connections that can be made between mathematics and the real
world.
I believe in the value of the ability to make connections to mathematics and the
application of problem-solving skills because that is what is intriguing about real life. The ability
to identify a problem, tie it to a similar situation (make a connection), and apply the skills to
solve it is what makes someone a more critical and careful thinker. This belief fits into the larger
context of schooling and society.
The ability to make connections between math and other areas is tied both to the contexts
of school and society. More often in school, teachers are expecting children to grasp and
maintain a skill for a longer amount of time. Not only are teachers expecting the retention of
skills, but also the application of those skills in a variety of ways. I think that if there is some sort
of connection that cements the skill and makes it more meaningful, then the retention will be
much more lasting. I see the ability to apply problem-solving skills across a variety of settings as