Category Archives: Math Explorations

I work out a problem or propose a new solution method.

Rubrics as Data – Part III

It has been a long time since I have addressed this topic.  I was going to add, “for good reason.”  Is utter discouragement and temporarily quitting a good reason?  Anyway here is the saga. I first worked my way steadily … Continue reading

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Slide and Divide

One of our student tutors sent me this link, Slide and Divide , to a method of factoring trinomials.  It is essentially the one I explained extensively in https://jrh794.wordpress.com/2011/12/20/the-best-way-to-factor-trinomials/   I just argue to keep the fractions in the factored form since it is … Continue reading

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This Is What “Power = .006” Looks Like.

My current screen saver is this graphic: I found it on Andrew Gelman’s blog here.  The red areas are based on an alpha (probability of rejecting a null hypothesis) of 0.05.  A recent paper (preprint) endorsed/authored by a fat paragraph of … Continue reading

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Graphing Sampling Error for Ordinal Data

In previous posts I have been discussing how to treat rubric data as sample data.  The next post along these lines is intended to show how to apply various Bayesian methods to such data.  My plan was to contrast these methods … Continue reading

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Rubrics as Data – Part II

I am continuing to study, “What happens when we amalgamate rubric data?”  Part I is here.  This part will consider how to treat rubric data as a sample from a larger population. The same assumptions as in Part I apply: “Questions … Continue reading

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Rubrics as Data – Part I

Rubrics, the detailed categorization of student work, have become a common teaching and grading tool.  Here is one designed to assess college-level writing.  The idea is to provide specificity and a sense of progress.  The student and the teacher have … Continue reading

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Chasing Infinity – 3D Version

The frequency of my blog posts have been diminishing more and more, or should I say, the wave length has been getting longer.  I attribute this mostly to my accession as math department chair.  I just haven’t had the time … Continue reading

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