Lectures
Presented By V. Frederick Rickey
January 2009
Lectures given in 1968.
1 "An axiomatic theory of
syntax,"
Lectures given in 1969.
2 "Axiomatic
inscriptional syntax," Association for Symbolic Logic meeting,
3 "Mereological
foundations of geometry," Notre Dame Logic Seminar,
4 "Atomic
mereology," Notre Dame Logic Seminar,
Lectures given in 1970.
5 "The unexpected
examination and other logical paradoxes,"
6 "On epsilon-delta
techniques," Mathematical Association of America (MAA) Ohio Section
meeting,
7 "On cutting
pi,"
Lectures given in 1971.
8 "A history of
mathematical proof," Kappa Mu Epsilon (KME)
honorary, BGSU,
9 "Creative
definitions in propositional calculi," Association for Symbolic Logic
meeting,
10 "Creative definitions in propositional calculi," Notre Dame Logic Seminar, February 8 and 15, 1971.
11 "Tessellations,"
12 "A chronology of
pi," and "Art and tessellations,"
13 "Creative
definitions in propositional calculi," BGSU colloquium,
Lectures given in 1972.
14 "Three views of definitions," Notre Dame Logic Seminar, October 11 and 18, 1972.
15 "The unexpected
examination and other logical paradoxes," Purdue, North Central Campus,
16 "An exposition of
Hilbert's 10th problem," BGSU colloquium,
Lectures given in 1973.
17 "What I wish my students had learned
about graphing in high school," Northwest Ohio Mathematics Group (NOMG) meeting
at BGSU,
18 "A survey of Lesniewski's logic
(ontology and mereology)," Michigan-Ohio Logic Seminar (MOLS),
19 "Qualitative
graphing techniques," MAA Ohio Section meeting,
Lectures given in 1974.
20 "Lesniewski's
protothetic," MOLS,
21 "Solovay's model where every set of reals is Lebesgue
measurable," MOLS,
Lectures given in 1975.
22 "An application of
geography to matheamtics (The history of the integral
of secant)," MAA Ohio Section meeting, BGSU,
23 "Careers in mathematics," an
after-dinner lecture to Mu Alpha Theta students and
parents,
Lectures given in 1976.
24 "The
25 "The history of
mathematics in the
26 "Contradictions
and paradoxes in mathematics and philosophy," BGSU Philosophy Department
Brown Bag Lecture Series,
27 "A survey of Lesniewski's logic,"
opening invited address, The Lesniewski Conference,
28 "Model theory for
Lesniewski's logic," The Lesniewski Conference, closing address,
29 "The joy of
sets,"
Lectures given in 1977.
30 "Theorems with
long proofs,"
31 "Theorems with
long proofs," BGSU Mathematics colloquium,
32 "A problem of logic (P=NP)," to
Shirley Oney's high school students (at BGSU),
33 "Art, tessellations, and number theory," recruiting graduate students at Rose-Hulman University, Terre Haute, IN, May 5, 1977.
34 "What's new in elementary calculus
(Integration in finite terms)," NOMG,
35 "Qualitative
graphing techniques," IUSB Mathematics Seminar,
36 "Infinitesimal calculus," IUSB Mathematics Seminar, a series of 16 lectures, Fall 1977.
37 "Panel discussion: Perspectives on the
job market for mathematicians," MAA Indiana Section meeting,
38 "Is mathematics
relevant?" Purdue, North Central Campus,
Lectures given in 1978.
39 "Is mathematics
relevant?"
40 "Long proofs in propositional calculi and the P = NP problem," Notre Dame Logic Seminar, February 15, 22, March 1 and 15, 1978.
41 "Infinitesimals in the nineteenth century," short presentation at the Chautauqua course on the History of Science Since Newton, Pennsylvania State University, March 7, 1978.
42 "Vaught's conjecture for trees," Notre Dame Model Theory Seminar, February 27, April 3, 10, 17, 1978.
43 "The old and the new infinity,"
three lectures at
44 "Cardinal arithmetic and the new
code," three lectures at
45 "A revolution in
cryptography," NOMG at BGSU,
Lectures given in 1979.
46 "The place of
geometry in the curriculum," panel discussion (with Kenneth Cummins,
47 "History of mathematics as a
pedagogical tool," MAA
48 "A revolution in cryptography,"
MAA Ohio Section short course on the Theory of Computing,
49 "An unbreakable
code,"
50 "Geography and
mathematics. An application of the integral calculus,"
State University College of New York at
51 "Is mathematics
relevant?"
52 "An unbreakable
code," Clarion State College, Clarion, PA.,
Lectures given in 1980.
53 "Public key cryptography and the P =
NP problem," MOOLS,
54 "The P = NP problem and proof
length," MOOLS,
55 Discussion leader after each of Harry
Pollard's eight lectures at the MAA Ohio Section short course on History of
Mathematics. Also ran discussion/presentations on "Teaching history of
mathematics," and "Using history in teaching mathematics,"
56 "The rise of metalogic," invited talk for the Special Session on History and Philosophy of Mathematics, American Mathematical Society (AMS) meeting, Providence, RI, October 18, 1980.
Lectures given in 1981.
57 "Mathematics at the
58 "An unbreakable
code,"
59 "Is mathematics
relevant?"
60 "An unbreakable
code,"
61 "Historical notes
for the calculus classroom," Indiana Regional Mathematics Consortium,
Lectures given in 1982.
62 "Historical notes on the calculus," invited hour address at the annual meeting of the Mathematical Association of America (MAA), Cincinnati, OH, January 16, 1982.
63 "Using history in
the mathematics classroom," annual meeting of the Ohio Council of Teachers
of Mathematics (OCTM),
64 "History of the
integral of the secant," Saint Mary's College, Notre Dame,
65 "Cauchy, uniform convergence, and nonstandard analysis," Conference on the History of Mathematics with Emphasis on the Development of the Calculus, Ball State University, Muncie, IN, April 23, 1982.
66 "Public key
cryptography," Pi Mu Epsilon initiation banquet,
67 "Cauchy, uniform
convergence, and nonstandard analysis," MOOLS,
68 "The second cycle
of the Gregorian calendar," Physics and Astronomy Seminar, BGSU,
Lectures given in 1983.
69 "Is mathematics relevant? A proof by numerous examples," "Featured speaker" at the OhioMATYC spring meeting, Terra Technical College, Freemont, OH, April 9, 1983.
70 One of four organizers of the "ISGHPM
(International Study Group on History and Pedagogy of Mathematics) workshop in
the preparation of historical materials for classroom use,"
71 "The preparation
and classroom use of historical materials," National Council of Teachers
of Mathematics (NCTM) annual meeting,
72 "Curves of the calculus: History and
applications," invited speaker at the MAA Allegheny Mountain Section
Annual Spring meeting, Indiana University of Pennsylvania, Indiana, PA,
73 "Real and infinitesimal number
lines," History of Mathemtics meeting,
Smithsonian Institution,
Lectures given in 1984.
74 "The invention of the calculus. Who. What. When. Where. Why," James Madison University, Harrisonburg, VA, MAA Visiting Lecturer Program, March 22, 1984.
75 "Improving
mathematics teaching," Valley of Virginia Teachers of Mathematics,
76 "The history of
the integral of the secant,"
77 "Curves of the
Calculus," invited lecturer, MAA Ohio Section meeting at BGSU,
78 "Curves of the
Calculus," HPM meeting at
79 Participant in panel discussion for HPM, at
annual NCTM meeting,
80 "Models of
Lesniewski's logic," at Lesniewski meeting in
81 "Creative definitions," lecture
by request of the audience (after I arrived) at the Lesniewski meeting,
82 "Curves of the calculus," colloquium lecture to Mathematics Department,
83 "Hilbert's
logic," four hour lecture/discussion at the History of Mathematics
meeting, Smithsonian Institution,
84 "Origin of the
conic sections,"
85 "Rare Mathematics Books," talk to
the Friends of the Library,
Lectures given in 1985.
86 "Great mathematicians,"
discussion with two eighth grade classes,
87 "From curves to calculus,"
colloquium,
88 "My career as a mathematician,"
sixth grade class,
89 "From curves to
calculus," colloquium, Westfield State College,
90 "History of mathematics," an inservice program (2.5 hours) to the teachers of the Chittenden South Supervisory School District, Williston, VT, March 4, 1985.
91 "Guidelines and ideas for classroom
notes on the history of mathematics," paper read (in my absence) at the
HPM meeting,
92 "Angle trisection" and
"Origin of the conics," lectures at
93 "Isaac Newton—Mathematician," Greater Burlington Mathematics League after dinner talk, Essex Junction, VT, April 18, 1985.
94 "4000 years of solving equations," at banquet honoring the State and Regional winners of the 28th Annual High School Prize Exam in Mathematics, Burlington, VT, May 2, 1985.
95 "W. E. Story of Hopkins and
Clark," Canadian Society for History and Philosophy of Mathematics
(CSHPM),
96 "Mathematics at
97 "Gauss on least
squares," BGSU colloquium,
98 "Gauss on least
squares," colloquium,
99 "Hilbert's work on the foundations of mathematics," 2.5 hour presentation at the History of Mathematics meeting, Smithsonian Institution, Washington, D.C., October 18, 1985.
100 "A potpourri of
ideas for using history in the classroom," annual meeting of the Indiana
Council of Teachers of Mathematics,
101 "Some applications
from the history of mathematics," Math Day, BGSU,
102 "Yesterday's mathematics for tomorrow's students:
Historical examples for your classroom," NCTM meeting,
Lectures given in 1986.
103 "A brief history of HPM,"
introductory remarks while chairing a meeting of the "International Study
Group on the Relations Between History and Pedagogy of
Mathematics" at the annual MAA meeting,
104 "A brief history of the hyperboloid of
one sheet," KME banquet at BGSU,
105 "Historical notes
on the calculus," MAA Ohio Section meeting,
106 Seven lectures presented as the MAA Ohio
Section Short Course on the "History of the Calculus,"
1. The Invention of the Calculus
2.
3. The Bernoulli's Disseminate the Calculus
4. Euler
5. Lagrange
6. Cauchy and Rigor
7. Weierstrass and Beyond
107 "Codes and cyphers," lecture presented to the Science Club at Georgetown Preparatory School, Washington, D.C., the oldest Catholic boys school in the country, October 15, 1986.
108 "Euler's Introductio in analysin infinitorum," 2.5 hour presentation extending over two days at the History of Mathematics meeting, Smithsonian Institution, Washington, D.C., October 17-18, 1986.
109 "Classroom examples
of how to use the history of mathematics to motivate students," NCTM
Regional Conference,
110 "The invention of the calculus: Who,
What, When, Where and Why?", Colloquium,
111 "The relevance of mathematics," invited address, Western Kentucky University, Bowling Green, KY, November 7, 1986.
112 "Using the history
of mathematics in the classroom," invited address,
113 "The invention of the calculus: Who, What, When, Where and Why?" invited hour address to the MAA Eastern Pennsylvania and Delaware Section, Drexel University, Philadelphia, PA, November 23, 1986.
113a "Why I'm studying
Latin," to Prof. Povsic's First Year Latin class
at BGSU,
Lectures given in 1987.
114 "Historical notes
for the calculus classroom," Special Session on the History of
Mathematics, MAA annual meeting,
115 "The relevance of
mathematics," University of Wisconsin/Oshkosh, Sigma Xi Lecture Series,
116 "Isaac Newton: The man and his
work," University of Wisconsin/Green Bay,
117 "The 300th
Anniversary of Newton's Principia,"
annual meeting of the Ohio Council of Teachers of Mathematics (OCTM),
118 "Historical notes (with
handouts) for use in your classroom," 65th annual meeting of the NCTM,
119 "Isaac Newton: Man, myth, and
mathematics," Principia Symposium,
120 A lecture series entitled "On Ye Sholders of Giants,"
1. Rene Descartes: Scientist and Mathematician
2. Isaac Newton: The Man and His Work
3. The Invention of the Calculus: Who, What, When, Where, Why
121 "Mathematical modules," presented at
a national conference on Character Development in the Schools, BGSU,
122 "In praise of genius: Isaac Newton," half hour talk at the State House in Indianapolis to the winners of the second annual State High School Mathematics Contest sponsored by the Indiana Council of Teachers of Mathematics, June 11, 1987.
123 "Euler's work on
the differential calculus," two hour lecture and discussion at the History
of Mathematics meeting, Smithsonian Institution,
124 "A clever idea of
Euler's for max-min problems," MAA Ohio Section meeting,
125 "Math in action—A
modern success story," Math Day 1987 at BGSU,
126 "In praise of genius: Isaac Newton,"
The Pennsylvania State University, The Behrend
College,
Lectures given in 1988.
127 "Was Newton a mathematician or a physicist?" joint colloquium to the Department of Physics and Astronomy, and the Department of Mathematics and Statistics, BGSU, January 29, 1988.
128 "Lôpital and the First Calculus Book," banquet speaker, fifty-first initiation of Kappa Mu Epsilon mathematics honorary, March 10, 1988.
129 "In praise of genius: Isaac Newton as a
role model," to the participants in the Warner T. Boyer Mathematics Exam,
130 "History of the calculus," ten
lectures and six discussion sessions presented as a short course for the MAA
Eastern Pennsylvania and Delaware Section,
1. Four Millenia of Algebra and Trigonometry
2. From Curves to Calculus
3. Early Seventeenth Century Ideas on the Calculus
4. The Invention of the Calculus
5. The Calculus of
6. The Bernoulli's Disseminate the Calculus
7. Euler Develops the Calculus
8. Cauchy and Weierstrass Provide Foundations
9. From Calculus to Set Theory
10. Robinson and Non-Standard Analysis
131 "How to trisect angles, and why you can't," presented at The Ohio State University at a National Institute for the Humanities sponsored seminar on "Great Theorems of Mathematics" conducted by William Dunham, July 12, 1988.
132 "Using history in teaching calculus," invited speaker at a meeting of the International Study Group for the History and Pedagogy of Mathematics Group (HPM), Florence, Italy, July 20-22, 1988. Since I am chair of the Americas Section of HPM, I also presented the final summary at this meeting.
133 "Motivating
calculus by incorporating history," short presentation at the Sixth
International Congress of Mathematics Education,
134 "Euler's calculus books," invited talk at a History of Mathematics Workshop, Gimlekollen Mediasenter, Kristiansand, Norway, August 7-13, 1988.
135 "My favorite ways of using history in
teaching calculus," invited talk at a History of Mathematics Workshop, Gimlekollen Mediasenter,
136 "The work of
L'Hospital," colloquium,
137 "The use of
historical materials in teaching calculus," after dinner talk to the
faculty,
138 "Euler's books on the integral calculus," two hour lecture/discussion at the thirteenth annual Symposium on the History of Mathematics, Smithsonian Institution, Washington, D.C., October 14-15, 1988.
139 "Careers in
teaching mathematics," Math Day at BGSU,
140 "Incorporating the history of the
calculus into the calculus classroom," three hour minicourse at the MAA
141 "Historical ideas
to use in your classroom," colloquium,
Lectures given in 1989.
142 "Using history in teaching
calculus," four hour minicourse presented at the annual meeting of the
MAA,
143. "Isaac Newton, genius,"
144. "The Tarski-Banach
paradox," colloquium, BGSU,
145. "History and applications of the conic
sections," annual meeting of History and Pedagogy of Mathematics,
146. "History and pedagogy of mathematics
(HPM) at ICME-6: Historical ideas for your classroom," annual meeting of
the NCTM,
147. "History and Application of the Conic
Sections," 39th Annual meeting of the Ohio Council of Teachers of
Mathematics,
148. "Calculus: History, Teaching, and
Technology," six lectures on the history of the calculus, Saint Mary's
College, Notre Dame, IN,
149. Visiting Professor's Seminar presented at the
a) The invention of the calculus: The five Ws, 22 Ausust 1989.
b) Cauchy and limits,
c)
d) Tangents and derivatives,
e) Judy Grabiner's paper on the derivative,
f) Euler and the trigonometric functions,
g) Some early differential equations,
h) More on differential equations, especially Euler,
i) What I did in D.C. last week,
j) The integral and the fundamental theorem of calculus,
k) More ideas on integration,
l) Riemann and his integral,
m) Fermat's integration and slope,
n) Stevin and his damn dam,
150. "Treasures of the Point," fourteenth annual meeting in the History of Mathematics, The National Museum of American History, Smithsonian Institution, Washington, D.C., October 13, 1989.
151. "Euler on differential equations,"
ibid,
152. "Math on the Mall", a tour of
153. "Rare books at USMA," a ten minute information session at Family Day for the Department of Mathematical Sciences, West Point, November 7, 1989.
154. "The Invention of the Calculus: Who,
What, When, Where, Why?", colloquium,
Lectures given in 1990.
155. "Using history in teaching calulus," four hour minicourse presented at the annual
meeting of the MAA,
156. Visiting Professor's Seminar presented at the United States Military Academy (USMA), spring 1990. Continuation of #149. The titles of the individual talks were as follows:
a) Remarks about integration techniques,
b) Mathematics at
c) Origins and applications of the conics,
d) Polar coordinates,
e) Women in mathematics,
f) Completeness of the reals,
g) L'Hospital and his rule,
h) Improper integrals and infinite series,
i) More on infinite series,
j) The brachistochrone problem,
157. "The history of improper integrals"
and "The history of infinite series," two lectures given to a senior
level analysis class, USMA, February 13, and
158. "The invention of the calculus,"
colloquium, Pace University,
159. "Calculus at
160. "The invention of the calculus — Who,
What, When, Where, and Why," colloquium,
161. "Why do we use m for slope?" invited
lecturer at the third annual LIMACON meeting (
162. "The history of the calculus in the
mathematics classroom," three hour minicourse, Intermountain Section of
the MAA,
163. "m is for
slope," Annual meeting of HPM,
164. "Tested ideas for using history in the calculus
classroom," National Council of Teachers of Mathematics, annual meeting,
165. "History of calculus," AP (Advanced Placement) Institute for Experienced Teachers, conducted by the College Board, White Haven, PA, April 26, 1990. Tom Tucker was the other invited speaker.
166. "The invention of the calculus,"
Edwin Brown Allen Memorial Lecture at Rensselaer Polytechnique Institute,
167. "The invention of the calculus: Who,
What, When, Where, and Why,"
168. "The invention of the calculus,"
colloquium,
169. "Old calculus problems make for a lively
course," Canadian Society for the History and Philosophy of Mathemaics, annual meeting,
170. "Trisection," at a National
Institute for the Humanities sponsored seminar on "Great Theorems of
Mathematics In Historical Context,"
171. "Using history in teaching
calculus," ninety minute presentaion at the
Faculty Development Workshop, USMA,
172. "Using history in teaching calulus," four hour minicourse presented at the 75th
anniversary celebration of the MAA,
173. "The scientific revolution," Great
Ideas Faculty Workshop,
174. "A big-math attack," invited banquet
speaker for the annual meeting of the Illinois Council of Teaches of Mathemtics,
175. "Algebra led Tarski to truth,"
Conference on the History of Interactions between Algebra and Logic, LHM
Institute,
176. "Great ideas of mathematics," Math
Day, BGSU,
Lectures given in 1991.
177. "Euler's contributions to the calculus," invited talk for a special session on the History of Mathematics at the annual AMS meeting, San Francisco, CA, January 16, 1991. Abstract published in the Notices of the AMS, #863-01-661.
178. "Zeros of higher degree polynomial
functions: Cardano and his bizarre friends," Metropolitan Mathematics
Club,
179. "The long road to infinite series,"
KME Banquet,
180. "Using ideas from the history of algebra
to motivate students," regional meeting of the NCTM,
181. "Fibonacci and his sequence,"
Colloquium at USMA,
182. "The history of the Ohio Section," Spring meeting of the
Ohio Section of the MAA, at
183. "A selectin of
historical ideas for your algebra classroom," annual meeting of HPM,
184. "Using history in teaching
calculus," minicourse presented to the Northeastern Section of the MAA,
185. "The First Calculus Teachers: Jakob and Johann Bernoulli," Conference on History, Geometry, and Pedagogy in honor of the 80th birthday of Howard Eves, University of Central Florida, Orlando, FL, May 10, 1991. I was one of ten major speakers.
186. "The Bernoulli Brothers," USMA,
187. "The influence of the Traité du Calcul Différentiel et du Calcul Intégral of Sylvestre-François Lacroix (1765-1843) on the development of calculus textbooks," sixteenth annual meeting on the History of Mathematics, The National Museum of American History, Smithsonian Institution, Washington, D.C., October 17-19, 1991.
188. "Leibniz and His Calculus," Seaway
Section of the MAA, invited talk, Fredonia NY,
Lectures given in 1992.
189. "Using history in teaching
calculus," four hour minicourse at the Annual Meeting of the MAA,
190. "Leibniz and His Calculus," BGSU
Colloquium,
191. "How
192. "Math on the Mall: Shapes and Patterns in
the World around Us," NCTM 70th annual meeting,
193. "Gauss and Wantzel
on Constructing Polygons," HPM,
194. "A Big-Math Attack," Pi Mu Epsilon
Banquet,
195. "In Praise of Genius: Sir Isaac Newton as
a Role Model," GTCTM Banquet for contest winners,
196. "Leibniz and His Calculus," invited
lecture, Michigan Section of the MAA, Saganaw MI,
197. "History of the Calculus," Short
Course at
198. "How to trisect angles, and why you can't," presented at The Ohio State University at a National Institute for the Humanities sponsored seminar on "Great Theorems of Mathematics" conducted by William Dunham, July 24, 1992.
199. "Using History in Teaching Calculus,"
HPM in
200. "The Necessity of History in Teaching
Mathematics," International Congress of Mathematics Education, invited
speaker,
201. "Calculus in the
nineties---the 1690s,"
202. "Lesniwski and
Tarski on Truth," Lesniewski ajuhdi,
203. Smithsonian meeting,
204. "Christopher Columbus," presented to
fifth graders at
205. "It takes all the running you can do, to
keep in the same place," Graduation Talk, BGSU,
Lectures given in 1993.
206. "
207. "The Cyclotomic
Equation and Regular Polygons," Colloquium,
208. "Rare Books in the Classroom,"
Annual HPM Meeting,
209. "The Fibonacci Sequence and its
history"
210. "Using history in the classroom,"
211. "Saint Vincent and the Logarithm," invited lecture, AMS Special Session in the History of Mathematics, Washington, DC, 18 April 1993. Abstract published in the AMS Notices.
212. "Leibniz and the Invention of the Calculus,"
colloquium,
213. "The secret of my teaching success,"
214. "Leibniz and his Calculus,"
colloquium,
215. "Leibniz and the Birth of His
Calculus," CS/Math/Stat Colloquium,
216. "On Weierstrass," Smithsonian Institution, 15-16 October 1993.
217. "Benjamin Franklin Finkel (1865-1947) and the founding of the Monthly," after dinner talk at the fall meeting of the Ohio Section of the MAA, Ohio Northern University, 22 October 1993.
218. "Applying to graduate school," Coppin State College,
219. "The Bernoulli Brothers and the
Calculus," Major's Seminar,
220. "Using History in Teaching
Mathematics,"
221. "The Bernoulli Brothers and the
Calculus," Faculty Seminar,
Lectures given in 1994.
222. "Using History in the Calculus
Classroom," colloquium,
223. "The History of Fermat's Last
Theorem," public lecture,
224. "Leibniz and the Creation of his Calculus, "
225. "Rare Books in the Classroom,"
226. "The Bernoulli Boys and the
Calculus,"
227. "Math on the Mall," a tour for the
Elementary Recipients of the Presidential Awards for Excellence in Science and
Mathematics,
228. "On the History of Fermat's Last
Theorem," Bullitt Lecture (he was a noted collector of rare mathematics
books),
229. "Some History of Fermat's Last Theorem," invited lecture at the annual meeting of the Maryland-District of Columbia-Virginia Section of the MAA, St. Mary's College of Maryland, April 15-16, 1994.
230. "Minicourse on Using the History of
Mathematics in the Classroom,"
231. "Welcome and Congratulations from the
MAA," to Presidential Awardees,
232. "Math on the Mall," a tour for the
MAA staff to celebrate Math Awareness Week,
233. "Math on the Mall," a tour for the
Secondary Recipients of the Presidential Awards for Excellence in Science and
Mathematics,
234. "History: A Vital Tool for the Calculus
Teacher," at a meeting on Oude wiskunde in modern onderwijs (Old
mathematics in the modern classroom), organized by the Landelijk
Werkcontact Geschiendes en Maatachappelijke Functie van de Wiskunde,
235. "The Bernoulli Brothers and the
Calculus," Stafcolloquium, Rijksuniversiteit
Groningen, The
236. "Differentiation and Integration Through History," Freudenthal
Institure,
237. "History of the Calculus," a week
long short course presented to the Northeast Section of the MAA, Orono
238. "How to trisect angles, and why you
can't," Bill Dunham's NEH Seminar "Great Theorems of
Mathematics" for high school teachers, Ohio State, 5 July 1994. My name
was written into the grant to give this talk.
239. "The MAA Gopher," presented to a
special session on Exploring Mathematics on the Internet, Mathfest
(joint summer math meetings),
240. "Cayley's work on quantics and invariant theory," Smithsonian Institution meeting on the History of Mathematics, 13-15 October 1994.
241. "Using History to Excite and Motivate Students," invited presentation, New Jersey Section of the MAA, Georgian Court College, Lakewood, New Jersey, 19 November 1994.
242 "Leadership,"
given to the new initiates of Omicron Delta Kappa, the national leadership society,
BGSU,
Lectures given in 1995.
243. "A Theorem of Barrow using the ``new method" of
Leibniz," National meeting of the American Mathematical Society,
244. "History can make your classroom
exciting," colloquium,
245. "The History of Improper Integrals," invited presentation to the Indiana Section of the MAA, Tri-State University, Angola, Indiana, 31 March 1995.
246. "The History of Improper Integrals,"
colloquium,
247. "Experiences of a Visiting Mathematician
at the MAA," Luncheon address at the Michigan Section of the MAA,
248. "Mathematics on the internet,"
Michigan Section of the MAA,
249. Institute in the History of Mathematics and
Its Use in Teaching,
To list this as a single talk is a bit deceptive. This was the major area of my involvement during the entire year. I made 12 individual presentations at this meeting. I was in charge of the entire three weeks. In addition I led discussions about teaching history of mathematics courses, about using history in the classroom, and directed readings sessions involving primary sources. This was a full time commitment for three weeks, as well as many weeks before and several afterwards.
250. "Teaching upper level course," Project NExT participants at the AMS/MAA MathFest in
251. "The importance of using history in
teaching mathematics," at a meeting on "New Trends in the Teaching
and Learning of Mathematics," Mathematisches Forshungsinstitut Oberwolfach,
252. "The Development of the Calculus,"
253. "The calculus books of Johann
Bernoulli," Graduate Seminar in the History of Mathematics,
Lectures given in 1996.
254. "Historical Ideas for the Calculus
Classroom," to Project NExT,
255. "Rare Books at the
256. "Fermat's Last Theorem,"
257. "From Our Calculus it Follows,"
a sequence of three lectures given at
258. "Happy 300th Birthday, l'Hospital," HIMED-96, a meeting of the British Society for the History of Mathematics, St. Martin's College, Lancaster England, 12 April 1996.
259. "The History of Improper Integrals," Kansas Section of the MAA and Kansas Mathematics Association of Two Year Colleges, McPherson College, McPherson, Kansas, 19 April 1996.
260. "Ways of Using History to Motivate Calculus," Kansas Section of the MAA and Kansas Mathematics Association of Two Year Colleges, McPherson College, McPherson, Kansas, 20 April 1996.
261. Institute for History and its Use in
Mathematics Teaching,
262. "How to trisect angles, and why you can't," presented at The Ohio State University at a National Institute for the Humanities sponsored seminar on "Great Theorems of Mathematics" conducted by William Dunham for high school teachers, Ohio State, 9 July 1996.
263. "A Survey of Greek Mathematics,"
264. "Perils and pleasures of the
Internet,"
265. "Using History in Teaching
Calculus," BGSU Colloquium,
266. "Happy 300th Birthday to the First
Calculus Text,"
267. "Using History in Teaching
Calculus,"
268. "The Mercator
Projection," State University of New York College at Geneseo
Mathematics Department colloquium,
269. "Happy 300th Birthday to the First
Calculus Text," presented as Featured Speaker at the Seaway Section of the
MAA,
270. "The Genius of Euler," presented as
Featured Speaker at the Seaway Section of the MAA,
Lectures given in 1997.
271. "Teaching a Course in the History of
Mathematics," minicourse presented with Victor Katz at the annual meeting
of the MAA,
272. "Johann Bernoulli's Calculus Texts," AMS Special Session on the History of Mathematics at the Joint Winter meetings in San Diego, January 10-11, 1997.
273. "Euler and his Calculus,"
274. "Humor in Mathematics," to the Kappa
Mu Epsilon Mathematics Honorary, BGSU,
275. "The Beginnings of the Leibnizian Calculus," Tenth Anniversary
276. "Incorporating the History of Mathematics
into Teaching," First meeting of Ohio NExT,
277. Institute for History and its Use in
Mathematics Teaching,
278. “Infinite Series,” USMA colloquium,
Talks given in
1998:
279.
AMS/MAA
Joint Mathematical Meetings,
280.
“William
Fogg Osgood's paper on A Jordan Curve of Positive
Area," Oresme I (the Ohio River Explorers of
Sources in Mathematical Exposition), Xavier University, Cincinnati, OH, January
30-31, 1998.
281.
“Student
evaluation of the quality of history of mathematics web pages,” AMS
282.
“The Use
of the History of Mathematics in Mathematics Teaching,” Conference within a
Conference, NCTM,
283.
Moved to USMA
384.
Institute
on the History of Mathematics and Its Use in Teaching, an NSF sponsored
institute for college faculty held at American University,
385.
“Helge
von Koch’s paper on the snowflake curve,” Oresme II,
Talks
given in 1999:
286.
Presentation
of “Examples of how history can be used
in the classroom” at a panel discussion entitled The Uses of History in the
Teaching of Mathematics held at the MAA national meeting in San Antonio, January 13, 1999.
287.
"The
mathematics of Lewis Carroll", a Dramatic Presentation written by Robin
Wilson, presented at the AMS/MAA meeting in
288.
"Teaching
a Course in the History of Mathematics," a four-hour minicourse presented
in
289.
"Why
do we use 'm' for slope?" Presentation, with my colleague Rickey A. Kolb,
at the AMS Special Session on the History of Mathematics arranged by Karen
Parshall and Victor Katz at the AMS meeting in San Antonio, TX, January 16,
1999. Abstract #939-01-911.
290.
“Felix
Klein's Erlanger Programme,” Oresme
III, Northern
291.
“The
Beginnings of Calculus,”
292.
"A
Quick History of the Calculus," two-hour student minicourse at the Ohio
MAA Section Spring Meeting at the
293.
“Great Expectorations
or Coughing with Calculus,” Math Awareness Day, USMA,
294.
“How to
trisect angles and why we can’t,” presentation to a group of high-school
mathematics teachers, Westchester State College, Westchester, PA, July 13,
1999.
295.
Participant
in “The Mathematics of Lewis Carroll — in 8 Fits,” a historical dramatic
presentation written by Robin Wilson, The Open University,
296.
Institute
on the History of Mathematics and Its Use in Teaching, an NSF sponsored
institute for college faculty held at American University,
·
Why do
we use ‘m’ for slope?
·
The
Archimedes palimpsest.
·
How to
trisect angles and why you can’t.
·
Bombs
bursting in air.
·
The four
color problem.
·
Abraham
Robinson and non-standard analysis.
·
Godel and his
theorems.
·
In
addition I conducted 4 sessions on using history in the classroom and 4 on
teaching history of mathematics classes.
297.
“The
Invention of the Calculus: Who, What, When, Where, Why.” J. Sutherland Frame
lecture, MAA MathFest,
298.
“Mathematics
at
299.
“Early
textbooks at
300.
“The
Archimedes palimpsest,” APICS Mathematics/Statistics and Computer Science
Conference, Memorial University, St. John’s, Newfoundland, October 23, 1999.
301.
“The
History of Infinite Series and Examples for Classroom Use,” joint meeting of
the MAA Seaway Section and NYSMATYC Region III, Adirondack Community College in
Queensbury, NY, November 5, 1999.
302.
“Mathematics at
303.
“
304.
“The
Archimedes palimpsest,”
“Mathematics at
305.
Talks
given in 2000:
“The
History of the First Sixty Years of Mathematical
Reviews, A Magnificent Monument to Mathematical Research,” AMS Annual
Meeting,
306.
307.
“Why
should you use history in the classroom?” Colloquium,
308.
“Are
there more points in space than on a line?,” Math
Awareness Day,
309.
"Minicourse
on Using History to Aid the Learning of Mathematics," Illinois Section of
the MAA, North Central College, Naperville, IL, March 31, April 1, 2000.
310.
"A
Challenging Problem: The Brachistochrone,"
311.
"Fun,
Interesting, and Historical Examples of Infinite Series and Improper
Integrals," MAA Student Workshop, Mathfest 2000,
UCLA,
312.
“The History of Mathematics,” North Central Section NExT,
·
What did
·
The Bernoulli brothers.
·
A critical reading of the "Nova methodus" of
Leibniz.
·
Euler's contributions to the calculus.
·
Cauchy, Weierstrass, and Cantor develop foundations.
·
Discussion of using history in the classroom.
·
Examples of how to use history in the classroom.
313.
“The
pedagogical value of histoy – the case of infinite
series,” Henry Pollak’s colloquim
series on “The
Advances in the Teaching of Mathematics,” Teacher’s College,
314.
“What your students can learn about the history of mathematics
on the web,” Tenth
Annual Kansas City Regional Mathematics Technology Expo,
315.
"Teaching with Technology at West Point," Tenth
Annual
316.
"A
big math attack," Keynote Address, Association of Mathematics Teachers of
New York State,
317.
"Topics
from the history of algebra to motivate your students," Association of Mathematics
Teachers of New York State,
Lectures given in 2001.
318.
"The
Creation of the Calculus: Who? What? When? Where? Why?,"
319.
"The
Palimpsest of Archimedes," Ohio Section of the MAA, Bowling Green State
University, Bowling Green, OH, March 23, 2001, Evening Address.
320.
"History
of Mathematics as a Pedagogical Tool, Part II," Ohio Section of the MAA, Bowling Green State
University, Bowling Green, OH, March 24, 2001.
321.
“How
322.
"History
Tour: Mathematics on the Plain,"
323.
"The
Brachistochrone Problem," Pi Mu Epsilon initiation and reunion,
324.
"Calculus
Classroom Chronicles: Catenaries, Clepsydrae, and Cycloids," Northeastern
Section of the Mathematical Association of
325.
"The
First Century of Mathematics at West Point," conference on the History of
Undergraduate Mathematics in America (HUMA), West Point, NY, June 21-24, 2001.
326.
“History
of mathematics, especially history of calculus and using history in the
classroom," Summer Seminar 2001, North Central Section of the MAA, Bemidji
State University, Bemidji, MN, July 24-27, 2001. These four days of
presentations included:
·
A Public lecture on the palimpsest of Archimedes.
·
Early
examples of integration and differentiation.
·
What
·
The Bernoullis and Euler.
·
Cauchy
and Weierstrass develop foundations.
·
Cantor’s
leap from Calculus to Set Theory.
·
Robinson
and Non-Standard Analysis.
·
Examples of how to use history in the classroom.
·
Ideas about teaching history of mathematics courses.
·
Finding history on the internet and judging its
quality.
327.
"The
British Influence on Mathematics at
328.
"Characters
of Mathematics," The Math Forum, USMA,
329.
"Calculus
at
330.
"Clever
historical ideas which will motivate your students," MAA New Jersey
Section meeting, Middlesex County College, Edison, New Jersey,
October 27, 2001.
331.
"The
Palimpsest of Archimedes," colloquium,
332.
"The
Mathematics Curriculum at
333.
"Antiderivatives, Bridges, Clepsydra, and other Historical
Examples for the Calculus Classroom,"
334.
"The
Palimpsest of Archimedes," Mathematics Retreat,
335.
"The
Creation of the Calculus: Who? What? When? Where? Why?,"
Mathematics Retreat,
336.
"Characters
of Mathematics,"
337.
“The history of
pi,” an impromptu talk given when the scheduled speaker did not show up,
Wisconsin Mathematics Council Green Lake Conference,
338.
"We
Must Use History in Teaching Mathematics: Examples for the Calculus
Classroom," two hour long presentations, Study the Masters meeting,
339.
"George
Baron, One of
340.
"A
Reader's Guide to Euler's Introductio,"
Euler 2K + 2 Conference. Countdown to the Tercentennary,
Rumford
341.
“Rare
Books in the Classroom,”
342.
“Characters
of Mathematics,” Math Club, Southern
343.
“Solving
algebraic equations, Al-Khwarizmi, Record, and Cardano,” O’Neill High School,
344.
"Mathematics
in the Ancient World," the Short Course before the annual meeting of the
Mathematical Association of America, Baltimore, MD, 13-14 January 2003. I was
the organizer of this two day event.
345.
"Teaching
a History of Mathematics Course," four hour MAA minicourse #14 at the
annual meeting,
346.
“Cantor’s
leap from calculus to set theory,” Moravian
College Student Mathematics Conference,
347.
“The
Archimedes Palimpsest,” a presentation for the USMA librarians,
348.
“The
Olivier String Models at Union College and West Point,” joint work with Amy
Shell-Gellasch, Hudson River Undergraduate Mathematics Conference, Union
College, Schenectady, NY, April 12, 2003.
349.
“The
Mathematics Curriculum At West Point: The First Hundred Years,” joint work with Amy Shell-Gellasch,
Special Session on the History of Mathematics, Spring Eastern Sectional Meeting
of the AMS held in New York, NY, at the Courant Institute on April 12-13, 2003.
[Abstract number 986-01-38]
350.
“Historical
ideas for your classroom,” American Association for the Advancement of Science,
351.
Euler 2K
+3,
352.
“Mathematics
at
353.
“History
of Mathematics and the Teaching of Calculus,”
354.
“The
Archimedes Palimpsest,” after dinner talk at the Rose-Hulman Undergraduate
Mathematics Conference, Rose-Hulman Institute of Technology, Terre Haute,
Indiana, March 19, 2004.
355.
“Carl
Friedrich Gauss: Classic Hard Figurer,” Rose-Hulman Undergraduate Mathematics
Conference, Rose-Hulman Institute of Technology, Terre Haute, Indiana, March
20, 2004.
356.
“The
History of Mathematics and Its Use in Teaching,” Oklahoma-Arkansas Section of
the MAA, Conway, Arkansas, March 26, 2004, workshop, 8:30-11:00 AM.
357.
“A
Multicultural History of Algebra,” at a festival entitled "Crossing
Borders: Globalization in the Arts, Sciences, and Society," SUNY Potsdam,
March 31 to
358.
“Marvels
of Mathematics History,” Center for Lifetime Study,
·
Archimedes,
A Genius from Antiquity.
·
The Arab
World Preserves and Expands Mathematics
·
Fermat
and his Last Theorem.
·
Leonhard
Euler.
·
How
·
Something
extra: Field Trip to
·
Lewis
Carroll and His Friend Alice.
·
Women in
Mathematics.
·
Alan
Turing.
361.
“How
Teachers Can Use History to Motivate and Inspire Their Students,” Preparing
Mathematicians to Educate Teachers (PMET) conference, Bowling Green State
University, Bowling Green, OH, June 21, 2004.
362.
“The
Olivier Models at
363.
“A
Reader's Guide to Euler's Institutiones calculi differentialis,”
Euler 2004 Conference,
364.
"2001
Years of Mathematics at West Point,"
Talks Given in 2005
365.
"Mathematics at
366.
"
367.
"Isaac
Newton: Man, Myth, and Mathematics,"
3
369. "Dürer's magic square, Cardano's rings, Prince Rupert's cube, and other neat things," presented at the MAA Short Course "Recreational Mathematics: A Short Course in Honor of the 300th Birthday of Benjamin Franklin," Albuquerque, NM, August 2-3, 2005.
370. "Agnesi vs. Euler: Out with the old, in with the new," The Middle Atlantic Symposium on the History of Mathematics, Villanova University, October 13-15, 2005.
371. "Isaac Newton: Man, Myth, and Mathematics," The 2005 Sehnert Lecture, Northern Kentucky University, October 24, 2005.
372. "Teaching a History of Mathematics Course,"
MAA minicourse at the annual meeting, San Antonio, TX, January 2006. Presented with
Victor J. Katz, University of the District of Columbia.
399. "The Impact of Ballistics on Mathematics," Seminar, USMA January 21, 2009.
"201 years of mathematics at West Point," Faculty Development Workshop, USMA, 12 August 2006.
Abbreviations used:
AMS American Mathematical Society
BGSU
HPM History and Pedagogy of Mathematics (=ISGHPM)
ISGHPM International Study Group for the Relations between History and Pedagogy of Mathematics
IUSB
KME Kappa Mu Epsilon Mathematics Honorary
MAA Mathematical Association of
MOLS Michigan-Ohio Logic Seminar
MOOLS Michigan-Ohio-Ontario Logic Seminar
NCTM National Council of Teachers of Mathematics
NOMG Northwest Ohio Mathematics Group
OCTM
PME Pi Mu Epsilon Mathematics Honorary
USMA
V. Frederick Rickey
Department of Mathematical Sciences
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