Professor Emeritus

Department of Mathematical Sciences

New Mexico State University

Las Cruces, NM 88003, USA

575-646-3901

davidp@nmsu.edu

Here's my detailed vita, which lists all my publications.

**How
efficiently can one untangle a double-twist? Waving is
believing!**** (with Dan Ramras), preprint and
animations, to appear in The Mathematical Intelligencer in
2017.**

Classroom teaching methods for student active learning via reading in advance, writing, and warmup exercises, as alternatives to lecture:

Beating
the lecture-textbook trap with active learning and rewards for
all, a condensed piece to appear in the Notices of the
American Mathematical Society in 2017.

From lecture to
active learning: Rewards for all, and is it really so difficult?,
an extended piece, preprint.

And here are some supplementary materials:

Further philosophy, my evolution, and personal experiences of the
classroom
dynamics of teaching this way.

An explanation of my grading
and
daily logistics of handling several units simultaneously
with these assignment parts.

Sample homework
guidelines for students about how assignments can be
designed to foster an active classroom without lecture.

An overview
handout for a sophomore discrete mathematics course of how I
present this pedagogy to students.

Example
assignments for courses in discrete mathematics and
calculus, showing reading questions, warmup exercises, and final
exercises.

An actual assignment
handout for students, showing the different things I expect
them to do.

Translations of primary
historical source materials:

Excerpts
on
the Euler-Maclaurin summation formula, from Institutiones
Calculi Differentialis by

Leonhard
Euler
(pdf format), or in (dvi
format), also at the Euler
Archive.

Excerpt from a letter of Monsieur Lame to Monsieur Liouville on the question: Given a convex polygon, in how many ways can one partition it into triangles by mean of diagonals?: Lame's elegant geometric solution to finding the one step recursion relation solving Euler's decomposition problem, leading to the factorial formula for Catalan numbers.

A few preprints::

OK, here's a photo
taken at the 1999 Boulder conference on homotopy theory. On
the left is Italian algebraic topologist Luciano Lomonaco, on the
right is me.

You might find another photo of me playing badminton at NMSU.

Last revised on July 27, 2017.