This was not the casual read I had in mind. The notation was alien. And while I could have sworn this was a well-written thesis, I repeatedly found myself bamboozled by my own prompts. A humbling experience such as this begs the question: Given I have retained precious little of what I devoted myself to over four long years, was this a misdirection of my talents whatever they are?
A prolonged delay to my career proper? These are not merely the musings of a has-been mathematician. They are relevant to all of us working in Education as we probe the rationale behind existing models of mathematics curriculum and assessment.
So let us ask the question in more general terms: I offer you three reasons, each informed by a resolute belief that my doctorate was worthwhile after all.
My PhD trained me to be a better problem-solver. I cannot prove this except to say that research empowered me with unrivalled tools for problem-solving: My choice of field was irrelevant; Functional Analysis was mere proxy for pushing my problem-solving skills to new levels. Mathematics, by its concise and logical nature, lends itself to problem-solving it is not unique in this regard.
This understanding of how to nurture critical thinking is lost on policymakers. Curriculum standards are based on notions of what students should know with some movement towards performing discrete acts of reasoning, itself very limited. Assessment is dominated by an obsession with short-term knowledge gains. Yet knowledge without understanding carries no currency in the world students are being prepared for. In the era of data-driven accountability, educational measurement must focus on the processes of learning.
Problem-solving is a creative and even holistic endeavour; it can not be codified or captured in absolute terms. Nor should it be; mathematics is beyond rigid measurement and mathematical thinking can never be reduced to knowledge acquisition. A thesis represents the very small subset of ideas that came good. You will be charged ONLY for the total number of pages that you order. If you would like a feature that is not listed at right, we will include that feature at your request.
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A PhD student must complete a dissertation. The dissertation must represent an original contribution to applied mathematics, pure mathematics, or statistics, and must be of such quality as to be publishable in an appropriate professional journal.
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Senior thesis and phd thesis at the mathematics department. I no longer understand my PhD dissertation (and what this means for Mathematics Education) Earlier this week I read through my PhD dissertation.
Subject: "Mathematics Education" Do you need help with an MBA dissertation, a doctoral thesis, or a masters research proposal involving "Mathematics Education"? Here you can find the UCSD style files for writing your thesis, a frequently asked questions list regarding TeX, some links to help you get started with your post-graduate career and much, much more! UCSD > Mathematics > Thesis Archive.