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Teacher Reflections
Reflections
of CPMP Teachers
Following a one-week Course 1 implementation workshop:
"This class will be a challenge to me to teach the first year."
"I see even more work and change needed than I had before coming to this
training."
"Will we have the administrative support to make all of these changes?"
Following the first year of teaching CPMP:
"I have re-thought what mathematics is appropriate for all students and
whether mathematics can be comprehended by all."
"I have discovered that I don't need to be the giver of all information - like
I was so used to - like I thought I had to be. These students really can do the
investigations. They CAN discover on their own and learn the material. They can
explain it in their own words and understand it."
"Students working in teams are able to help each other and discover more information
than ever before. Special education students are learning with this program.
You usually cannot tell which students they are."
"I have always believed that student ownership of whatever content, using whatever
pedagogy, was the key to long term learning. CPMP forces student ownership without
the students' realization."
"I've learned that math can be exciting and dynamic (after 23 years);
that I'm not done learning; that this is math that all students can and
should experience; that math classes need not be tracked; and that we
need to be active in changing misconceptions about math abilities."
Following two years of teaching CPMP:
"The contexts such as the 'whale tale' seem to provide students with a
hook on which to place concepts. This allows students to retrieve the
mathematics at a much later time."
"Teaching CPMP has greatly altered my outlook on how much material and
the difficulty level of material that students can handle."
"The reviews at the first of the year that I thought were so necessary - are
not. Students will remember needed information that they have learned."
"Changing old habits is difficult."
"I have believed the 'challenging material' was not just for the so-called 'A
students.' CPMP challenges every student every day to figure out what is going
on and how it fits into the big picture."
"I know that the kids are learning more, they remember it longer, and they put
all the pieces together to form the big picture (the connections are everywhere)."
"There is so much more to teaching mathematics than what I've done in
the past."
Following three years of teaching CPMP:
"I have found that students will remember topics in terms of the 'big
problem' and then recreate the steps from memory as they encounter a
similar problem a year later."
"Developing student interest is a big issue. An application approach to
topics enhances student interest. Students enjoy figuring things out
for themselves and CPMP allows them to do this."
"Smart students must learn to think and explain. All students can think
- some students just need confidence to express it."
"Any time kids are engaged in investigative-discovery type learning they
have a better grasp of the concepts studied and seem to retain that which
they have learned. Maybe this is because they likely feel some ownership
in their learning with this method."
"For too long I 'taught' concepts by 'telling' students what they should know.
I could see the lack of understanding in so many of their eyes, but I had no
better way of helping them to learn. Now, students make sense of the concepts
themselves, and many more of them are having true, deep understanding."
Following four years of teaching CPMP:
"I think the CPMP has really empowered my students. They are much more
competent in their mathematical reasoning ability than traditional [students]."
"CPMP has changed the way students view mathematics. Instead of being
a static body of knowledge and methods to be learned and memorized, mathematics
is now a way of thinking about problems and their solutions."
"The content of CPMP is much fuller and contains some content I had never
had myself. The CPMP curriculum throughout is much more challenging than
I first expected and certainly more so than traditional."
"The jump in difficulty level each year always amazed me. I would not
have believed that such a variety of students could be successful in
this curriculum."
"It has totally changed the way I think about and teach students mathematics.
I don't think I could ever go back and teach in a traditional setting
again."
"I feel I understand mathematics much better and can teach it from a sense-making
perspective, rather than a set of rules."
"I'm a much better teacher now, with far greater awareness of applications
and wider range of teaching/assessment strategies."
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