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Upper Half-Wit

Mathematics of interest: Geometry, Dynamics, Combinatorics. Sunday, February 1, 2015. The Geometry of the Frenet-Serret Equations for Space Curves. The geometry of a parameterized curve in space can be understood by following the motion of its Frenet framing. We have previously discussed. The way the framing $ {T, N, B }$ is defined at teach point of a unit-speed curve $s mapsto alpha(s)$, and derived the basic equations:. These are the Frenet-Serret Equations. This post has no picture in it. First, note...

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Upper Half-Wit | theronhitchman.blogspot.com Reviews
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Mathematics of interest: Geometry, Dynamics, Combinatorics. Sunday, February 1, 2015. The Geometry of the Frenet-Serret Equations for Space Curves. The geometry of a parameterized curve in space can be understood by following the motion of its Frenet framing. We have previously discussed. The way the framing $ {T, N, B }$ is defined at teach point of a unit-speed curve $s mapsto alpha(s)$, and derived the basic equations:. These are the Frenet-Serret Equations. This post has no picture in it. First, note...
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Upper Half-Wit | theronhitchman.blogspot.com Reviews

https://theronhitchman.blogspot.com

Mathematics of interest: Geometry, Dynamics, Combinatorics. Sunday, February 1, 2015. The Geometry of the Frenet-Serret Equations for Space Curves. The geometry of a parameterized curve in space can be understood by following the motion of its Frenet framing. We have previously discussed. The way the framing $ {T, N, B }$ is defined at teach point of a unit-speed curve $s mapsto alpha(s)$, and derived the basic equations:. These are the Frenet-Serret Equations. This post has no picture in it. First, note...

INTERNAL PAGES

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Upper Half-Wit: Convenient Formulae for Curvature and Torsion

http://www.theronhitchman.blogspot.com/2013/02/convenient-formulae-for-curvature-and.html

Mathematics of interest: Geometry, Dynamics, Combinatorics. Thursday, February 7, 2013. Convenient Formulae for Curvature and Torsion. Problem: Find formulations for computing the curvature and torsion of a unit-speed curve $x(s)$ that involves only the derivatives $x'$, $x' $ and $x' '$ and easily computed linear algebra operations. As usual, a prime denotes differentiation with respect the arclength parameter. This parameter will be suppressed throughout this post. Now we will simplify the display of t...

2

Upper Half-Wit: About Me

http://www.theronhitchman.blogspot.com/p/blog-page.html

Mathematics of interest: Geometry, Dynamics, Combinatorics. I am an Assistant Professor of Mathematics at the University of Northern Iowa. In Cedar Falls, Iowa. I got my undergraduate degree from The Ohio State University. And my PhD from the University of Michigan. Under the direction of Ralf Spatzier). I was fortunate to work at Rice University. For three years as a VIGRE Lovett Instructor and at Williams College. For a year as a Visiting Assistant Professor before moving to Iowa. I'm on Google Plus.

3

Upper Half-Wit: The Geometry of the Frenet-Serret Equations for Space Curves

http://www.theronhitchman.blogspot.com/2015/02/the-geometry-of-frenet-serret-equations.html

Mathematics of interest: Geometry, Dynamics, Combinatorics. Sunday, February 1, 2015. The Geometry of the Frenet-Serret Equations for Space Curves. The geometry of a parameterized curve in space can be understood by following the motion of its Frenet framing. We have previously discussed. The way the framing $ {T, N, B }$ is defined at teach point of a unit-speed curve $s mapsto alpha(s)$, and derived the basic equations:. These are the Frenet-Serret Equations. This post has no picture in it. First, note...

4

Upper Half-Wit: An Interpretation of Curvature: Osculating Plane and Circle

http://www.theronhitchman.blogspot.com/2013/02/an-interpretation-of-curvature.html

Mathematics of interest: Geometry, Dynamics, Combinatorics. Saturday, February 9, 2013. An Interpretation of Curvature: Osculating Plane and Circle. To be very clear, this post follows Spivak Vol 2. Suppose that we have some curve in space, and we have chosen a point $P$ on it. We are concerned with the following three questions:. There is no guarantee that the curve lies in a plane, but if there were a plane through $P$ which came closest to containing the curve, how would you find it? Suppose that $f$ ...

5

Upper Half-Wit: The Frenet-Serret Apparatus for Space Curves

http://www.theronhitchman.blogspot.com/2013/02/the-frenet-serret-apparatus-for-space.html

Mathematics of interest: Geometry, Dynamics, Combinatorics. Wednesday, February 6, 2013. The Frenet-Serret Apparatus for Space Curves. The most important tool in classical differential geometry of curves is the orthonormal framing on the curve provided by the tangent, normal, and binormal vectors to the curve, and the Frenet-Serret equations which control the evolution of that framing. The tangent vector $T$ to $ gamma$ is defined in the usual way:. T(s) = gamma'(s) . ]. T(s) =1, ]. It is also helpful to...

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An IBL Special Interest Group of the MAA | Circles and Tangents

https://theronhitchman.wordpress.com/2015/07/02/an-ibl-special-interest-group-of-the-maa

College Mathematics Teaching, Only Mostly Insane. Readings for Math Teachers. An IBL Special Interest Group of the MAA. July 2, 2015. Over the last five to ten years, the number of people interested in using Inquiry Based Learning. Techniques in college mathematics classrooms has grown rapidly. Naturally, a lot of those people are members of the Mathematical Association of America. The MAA has a structure, called a SIGMAA. Remember that the “Member Plus” membership category. And get off my cape.

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Readings for Math Teachers | Circles and Tangents

https://theronhitchman.wordpress.com/readings-for-math-teachers

College Mathematics Teaching, Only Mostly Insane. Readings for Math Teachers. Readings for Math Teachers. A collection of things I find to be interesting reading for mathematics instructors. The Problem of Learning to Teach. By Halmos, Moise and Piranian (you need jstor access). Paul Lockhart’s Lament. What’s a Mathematician To Do. On Proof and Progress in Mathematics. Schoenfeld on the The Math Wars. Darryl Yong’s Adventures in Teaching. Number Theory Through Inquiry. 5 Elements of Effective Thinking.

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Change of assessment: SBG & Specs down | Circles and Tangents

https://theronhitchman.wordpress.com/2015/08/17/change-of-assessment-sbg-specs-down

College Mathematics Teaching, Only Mostly Insane. Readings for Math Teachers. Change of assessment: SBG and Specs down. August 17, 2015. In the last few years, I have experimented with different types of assessment strategies. In particular, I used something that would be recognizable as Standards Based Grading, and something that would be recognizable as Specifications Grading. But this term, for at least one course, I am abandoning both. My best course is. If you want to peek, go here. Send to Email Ad...

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TJ | Standing on the Tables

https://unigeometry.wordpress.com/author/theronhitchman

Rod Library at UNI. Standing on the Tables. As there were no available giants. Hitchman’s Feedback Form. December 6, 2013. Comments No Comments on Week Fourteen Progress. This week we had the following successes:. Miss Schlumbohm shared the following conjecture about task 10.2:. Conjecture (Schlumbohm): In the situation of 10.2, we have twice angle AXB is the same as angle AOB less angle A’OB’. Miss Hemann gave a proof of 10.7. Mr Duhn completed challenge 12.4. Miss Sawada showed 14.2 is a theorem. I hav...

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Class Journal | Standing on the Tables

https://unigeometry.wordpress.com/class-journal

Rod Library at UNI. Standing on the Tables. As there were no available giants. Hitchman’s Feedback Form. As part of the work of this course, we will make a mathematical journal with the students in the course as the authors, referees, and readers. I will play the role of managing editor. The WRITELATEX.COM TEMPLATE FOR WRITING PAPERS. An Example Paper, using writeLaTeX.com. To submit a paper, you can use this form. I advise you to make a (free! This is how we will do it. How a Professional Journal Works.

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Welcome to Math 3600: Euclidean Geometry | Standing on the Tables

https://unigeometry.wordpress.com/2013/05/21/welcome-to-math-3600-euclidean-geometry

Rod Library at UNI. Standing on the Tables. As there were no available giants. Hitchman’s Feedback Form. May 21, 2013. Welcome to Math 3600: Euclidean Geometry. All of the official documentation needed for this course will be posted here. Static documents and general discussion can be found using the banner menu above. Daily round-ups of our activities will follow below as blog posts. 26 August →. Find what you need:. Follow Blog via Email. Join 13 other followers. Count Vertigo says….

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Inquiry Based Learning | Circles and Tangents

https://theronhitchman.wordpress.com/inquiry-based-learning

College Mathematics Teaching, Only Mostly Insane. Readings for Math Teachers. Lately I have been using Inquiry Based Learning in my courses. Fundamentally, this is about engaging students in the mathematical process: requiring them to question, conjecture, argue, and critique. Perhaps the best short-hand is this: students do mathematical research at their own level. More detailed information about Inquiry Based Learning can be found:. The Legacy of RL Moore Project. The Academy of Inquiry Based Learning.

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Endorsements | Circles and Tangents

https://theronhitchman.wordpress.com/endorsements

College Mathematics Teaching, Only Mostly Insane. Readings for Math Teachers. It is important to have modern mathematical tools at your disposal, and we are now fortunate enough to have some quality technology that is also free and open-source. The Sage Mathematical Software Project. Is a full computational engine for mathematics built by assembling a large number of other open-source projects into a coherent whole and integrating the popular scripting language Python. It is incredibly good. Post was not...

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Eugenia Cheng and Knowledge, Belief, and Understanding | Circles and Tangents

https://theronhitchman.wordpress.com/2015/08/16/eugenia-cheng-and-knowledge-belief-and-understanding

College Mathematics Teaching, Only Mostly Insane. Readings for Math Teachers. Eugenia Cheng and Knowledge, Belief, and Understanding. August 16, 2015. How to Bake π. It is nice to pick up a bit of mathematics. The part I most enjoyed was in the last few pages. Cheng describes three different viewpoints on truth:. I really like that these are clearly differentiated. Most importantly, she describes the process of mathematical communication really well, and with a useful diagram. (I suppose that a u...And g...

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TJ | Circles and Tangents

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College Mathematics Teaching, Only Mostly Insane. Readings for Math Teachers. An Important Part of Success. January 20, 2016. So far, this term seems to be off to a good start. I realize that one thing I am doing much better this term than last is really important. If I write it down, maybe I will always remember. This is especially important for my largish Math in Decision Making courses (55 students each). But it is also helping set a better tone for my linear algebra class. January 3, 2016. Tomorrow, ...

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Upper Half-Wit

Mathematics of interest: Geometry, Dynamics, Combinatorics. Sunday, February 1, 2015. The Geometry of the Frenet-Serret Equations for Space Curves. The geometry of a parameterized curve in space can be understood by following the motion of its Frenet framing. We have previously discussed. The way the framing $ {T, N, B }$ is defined at teach point of a unit-speed curve $s mapsto alpha(s)$, and derived the basic equations:. These are the Frenet-Serret Equations. This post has no picture in it. First, note...

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Circles and Tangents

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Theron J Hitchman

Mathematics: Geometry and Inquiry. View my projects on GitHub: theronhitchman. TJ Hitchman's Projects on GitHub. I am Associate Professor of Mathematics. At The University of Northern Iowa. As part of my regular workflow for teaching and research. Course notes and class web page for Math 3600 Euclidean Geometry. Course notes and class web page for Math 2500 Linear Algebra. Notes and Materials for Math 1100 Math in Decision Making. Research Notes on m-ary partitions. Notes and Materials for Sage workshops.

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Circles and Tangents | College Mathematics Teaching, Only Mostly Insane

College Mathematics Teaching, Only Mostly Insane. Readings for Math Teachers. Change of assessment: SBG and Specs down. August 17, 2015. In the last few years, I have experimented with different types of assessment strategies. In particular, I used something that would be recognizable as Standards Based Grading, and something that would be recognizable as Specifications Grading. But this term, for at least one course, I am abandoning both. My best course is. If you want to peek, go here. August 16, 2015.

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