You can find below so
Calculus II, MA 160.
Class meets on MWF from 12:15 to 1:20 PM in JEM 377; Th from 8:30 to 10:05 AM (B), 12 to 1:35 PM (A) in STE 109.
A previous course information sheet
A previous Maple info sheet
A previous Maple info sheet.
Previous course information sheet.
A previous course information sheet.
· Math Career Information
Copies of any of these manuscripts are available upon request.
· “Vermont Middle Level Mathematics Initiative: Courses and Materials for Mathematics Educators,” (with Marny Frantz), In C. Beaver, L. Burton, M. Fung, and K. Kruczek (Eds.), Resources for Preparing Middle School Mathematics Teachers, MAA Notes, Volume 80, MAA: Washington, DC (2013) 169-179.
· “Closing the Achievement Gap: Systemic
Collaboration for Equity in Mathematics,”(with Marny Frantz, Kendra Gorton,
· “Math and Bio 2010” (with Joanna Ellis-Monaghan, Zsuzsanna Kadas, and Declan McCabe). MAA FOCUS centerfold poster and accompanying article, 30: 3, (Jun.-Jul. 2010), 15-17.
· “Modeling Seashell Morphology” (with Joanna Ellis-Monaghan, Zsuzsanna Kadas, and Declan McCabe). In UMAP/ILAP Modules 2009: Tools for Teaching (UMAP Modules in Undergraduate Mathematics and Its Applications, Bedford, MA: COMAP), Module 801, (2009) 101-139.
· “Proportional Reasoning and Probability: A Professional Development Context for Mathematics Educators” (with Marny Frantz), Connect: Innovations in K-8 Science, Math, and Technology, 23: 2, (Nov.-Dec. 2009), 8-10.
· “Using Checklists in Project Assessment,” MAA FOCUS, “Teaching Time Savers” article, 29: 5, (Oct.-Nov. 2009), 13.
· “Using Mathematically-Rich Tasks to Deepen the Pedagogical Content Knowledge of Primary Teachers,” (with Regina Quinn), In B. Clarke, B. Grevholm and R. Millman (Eds.), Tasks in Primary Mathematics Teacher Education: Purpose, Use and Exemplars, Mathematics Teacher Education, Springer Science+Business Media LLC, 4 (2009) 197-214.
· “What We Learned…By Organizing and Hosting an MAA Sectional Meeting,” (with Karl-Dieter Crisman, Jo Ellis-Monaghan, Zsu Kadas, Greta Pangborn, and Lloyd Simons) MAA FOCUS, 29: 3, (Apr./May 2009) 16-18
· “Alumni Profiles of Saint Michael’s College,” Math Horizons, XV: 4, (Apr. 2008) 28-29.
· “How High? How Long? How Fast? Modeling with Water Rockets and Calculus,” With J. Ellis-Monaghan, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, XVI: 2, (Jun. 2006) 121 - 137.
House of Your Own: The Mathematics of
Cards and Cars: The Mathematics of the A
· “The Lottery: A Dream Come True or a Tax on People Who are Bad at Math,” With J. Ellis-Monaghan, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, XIV: 4, (December 2004) 303 - 314 .
· “Water Rockets in Flight: Calculus in Action,” (with J. Ellis-Monaghan and A. Brizard), UMAP/ILAP Modules 2002-2003: Tools for Teaching, pp. 151-188. Interdisciplinary Lively Applications Projects are designed to motivate mathematical concepts and skills in the context of a practical application in another field.
· “Home Sweet Home: A Financial Incentive for the Lower Level Mathematics Course,” with Jo Ellis-Monaghan. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, XI: 1, (March 2001) 16-26.
· “Microcosm to Macrocosm: Population Models in Biology and Demography,” With Jo Ellis-Monaghan, Tools For Teaching 1999, 39- 80, UMAP unit 777.
“The Defect Relation for Meromorphic
Maps on Parabolic Manifolds,” Memoirs of the A
“How Many People are in Your Future? Ele
· “Interdisciplinary Population Projects in a First Semester Calculus Course,” With Jo Ellis-Monaghan, PRIMUS, IX, 39-55, March 1999.
The Math Forum is an online "Math Education Community Center" with links to Web resources, teaching materials, online discussion groups with other teachers, problems of the week (for grades 3-12), Ask Dr. Math (for math questions), and Teacher2Teacher (for teaching questions). You can browse and/or search K-12 lesson plans according to topic or grade level.
Math Archives offers
online teaching materials and links, with such focal areas as Calculus
Resources On-line, Graphing Calculators, JAVA and Other Interactive WWW Pages,
Lessons, Tutorials, and Lecture Notes, Sites with K-12 Teaching Materials in
Mathematics, and Visual Calculus. At its K-12 Teaching Materials,
information can be obtained about Lesson Plans, Software, Topics in
Mathematics, Contests and Competitions, and other topics of interest. At its Topics in Mathematics,
useful information is accessible in such areas as Arith
Math Central is
"a service for people involved in mathematics education from kindergarten
to grade twelve". It is "a
The Eisenhower National Clearinghouse was
created to "identify effective curriculum resources, create high-quality
Coordinated by Scott Mandel, Teachers
Helping Teachers is intended to is to provide
The Geometry Center at the
Created with funding through the
Though the NSA’s
Partnership Program (MEPP) outreach program promoting mathematics and science
education, learning units are
available that were created through NSA-sponsored
teacher workshops (Sum
Launched in December of 1999, Figure This – Math Challenges for Families campaign is intended to involve parents in their children’s education and help parents encourage their 10 to 14-year old children to do math problems together after school. Sample challenges and an index of the mathematics covered in the challenges can be obtained at the site . Also, there is a related Math is Power site.
Part of a research and develop
Here are so
meinteresting sites on fractal geo metry and chaos theory:
As described in the last chapter of their text Fractals, Graphics, and Mathematics Education, Michael Fra
meand Benoit Mandelbrot have created a Panorama of Fractals and Their Uses. This is intended to be a detailed wordbook or lexicon that ordersalphabetically a wide mixture of fractal uses for the classroom. Fra meand Mandelbrot also provide information on their introductory course in fractal geo metry at , including so Yale University medetails on possible fractal software.
Kenneth Monks at the
provides a couple of versions of his chapter Fractal Themes at Every Level, as well as his fractal course software and some of his pertinent student papers. Universityof Scranton
Robert Devaney at
offers an interactive version of his chapter on The Fractal Geometry of the Mandelbrot Set: Periods of the Bulbs. Also, see his NSF-sponsored Dynamical Systems and Technology Project for ideas on effectively using technology to integrate fractals and chaos into the classroom. Boston University
Cynthia Lanius at
details a fractals unit for ele Rice University mentary and middle school students that “adults are free to en joy”. The unit describes various fractal properties and involves creating and interpreting such figures as the Sierpinski triangle, fractal, and Koch snowflake. Jurassic Park
and the Florida Atlantic University offer Pattern Exploration: Integrating Math and Science for the Middle School, containing a rich collection of fractal geo Broward County School District metry teacher enhance ment materials created through a joint NSF grant.
Eric Weisstein’s World of Mathematics (a web resource of Wolfram, the maker of the CAS Mathematica) contains information about fractals and links to pertinent topics and resources. Also, Alexander Walz provides information on fractals and their creation using the CAS Maple V.
The Maryland Chaos Group provides a Chaos Gallery with interesting fractal graphics, chaos animations, and links to pertinent mathematics.
Robert Doerner's Interacting with Chaos deals with non-linear dynamics and chaos and discusses four sample systems, starting with the logistic map and ending with the driven damped pendulum.
Tom Stoppard's Arcadia may also be of interest.
journal FRACTALS publishes peer-reviewed work in the form of full-length research papers, short communications, reviews of both technical and pedagogical nature, and popular articles. The table of contents and paper abstracts for previous issues are accessible.
As suggested by a number of the contributors to the text, one particularly effective
means to generate fractal graphics is through the freeware fractal generator Fractint, created for IBM PCs and compatible computers.
There are many pages that offer interesting facts about mathematics and mathematicians. For example, the following sites may be of interest:
Steven Finch's information on various mathematical constants.
Mark Woodard's examples of mathematician quotes.
meuseful links for the History of Mathematics include:
- Comprehensive MacTutor History of Mathematics Archive at the
in Universityof St. Andrews . Scotland
- Math Archives at the
at Universityof Tennessee . Knoxville
- David Joyce's History of Mathematics at
. Clark University
- HMC Math Dept's Searchable database for Mathematics Magazine and the College Mathematics Journal
- Prime pages at the
at Martin. Universityof Tennessee
- Mark Woodard's Mathematics Quotation Server at
. Furman University
- Jeff Miller's information on various mathematical symbols, mathematical words, and mathematicians on stamps.
- The Clay Mathematics Instititute's Millenium problems, offering a historical context for each problem.
- Archive of the Historia Matematica listserve and discussion group, at which all traditional and scholarly aspects of the history of mathematics are considered.
For more information, you may want to check out these.
Here are links to several photos of the Saint Michael's campus and buildings:
My office is Jeanmarie 261. My phone number is (