My
reasons for pursuing a Ph.D. in
education have not
changed. However,
I have changed. I am in the process of
realizing my goals and even beyond them I am a better, more
well-rounded educator. I find that I can lead my students to
mathematical discovery through many more approaches than I previously
understood. I have also been able to contribute to the
professional development of my peers. Recently, my first
article
was published. Now, I am the end of my coursework and at the beginning
of tying together the work of the past several years and developing my
dissertation concepts. I admit to being apprehensive, nervous and far
from sure-footed. I knew this time would come; but, it was always
somewhere down the road. My cohort colleagues all seemed to have good
grasps on what they would focus their dissertation research
back
in year 1. I did not. Through the summer institutes in which I have
been involved, I have come to see that teacher professional development
is something for which I have an affinity.
I continue to be troubled by the level
of mathematics
understanding which our students grasp. A contributing factor is, in my
view, over diagnosis of learning disabilities/differences and over
medication of children. Recently, I had a student who is a capable
child but was not doing his homework and was not paying attention in
class. When I spoke with him about class preparation and participation,
he responded, "Maybe I have ADHD." This child did not have any learning
disabilities, he was lazy. But, his remark highlights the idea that we
are trying to find excuses for some children's poor performance. Having
a learning disability earns a child longer times to complete
assessment, special environments, and/or special tools, such as a
computer. It really is no wonder that some well abled kids want to be
labeled as LD in order to get all these extras and an excuse for not
working up to their abilities.
I also worry about constantly looking to
the teacher to
improve everything. Sometimes you just have a lazy or obstinate kid and
nothing the teacher can do will help the child.
Not to contradict myself, but I am
looking at strategies
which teachers can use to improve student understanding of statistical
principles. I am interested in teachers guiding interested and
motivated students. I know that the uninterested and unmotivated
students need attention and guidance, too. But, they are being
addressed by so many of my colleagues, that I do not feel exclusionary
in pursuing what interests me the most. It has been my experience that
schools spend an inordinate amount of time and attention on the
under-performing students that the highly achieving and/or highly
motivated students do not get the attention they need to reach their
full potential. This is where I want to step in. For example, a study
of linear regression can be completely mechanical without discussions
of correlation vs. causation, the meaning of the coefficient of
determination, and the distribution of the residuals. A study of Normal
distributions can also be merely mechanical without discussing why
normality occurs, why normality is important, what in real life is
Normally distributed, and, if anything else, other than the data
itEqually, Calculus students can simply
revert to "taking the derivative"
without any understadning of why that may or may not be appropriate.
And, they do not understand the meaning of thier solutions.
These situations present many possibilities for research;
but, I have to admit that I have not yet decided. self, in the distribution is Normally
distributed (sample means,
sample quartiles, sample medians) and why that would be so.