SOME SELECTED RESOURCES FOR
USING HISTORY IN TEACHING MATHEMATICS
David Pengelley
Original source collections
Norman Biggs, Graph theory 1736-1936
Garrett Birkhoff & Uta Merzbach, A source book in classical analysis
Ronald Calinger, Classics of mathematics, second edition
Encyclopedia Britannica, Great books of the Western World
John Fauvel & Jeremy Gray, The history of mathematics: a reader
Ivor Grattan-Guinness, Landmark Writings in Western Mathematics 1640-1940
Victor Katz (editor), The mathematics of Egypt, Mesopotamia, China, India, and Islam: a sourcebook
Victor Katz (editor), Sourcebook in the mathematics of medieval Europe and North Africa
Henrietta Midonick, The treasury of mathematics
David E. Smith, A source book in mathematics
Jacqueline A. Stedall,
Mathematics emerging: A sourcebook 1540 - 1900
John Stillwell, Sources of hyperbolic geometry
Dirk Struik, A source book in mathematics, 1200--1800
Jean Van Heijenoort, From Frege to Godel : a source book in mathematical logic
Collected Works (hundreds of them!)
A bibliography of collected works and correspondence of mathematicians
, by Steven W. Rockey, Mathematics Library, Cornell University
The Euler Archive
, Mathematical Association of America
Reprints of original author mathematics books: numerous
Historically oriented mathematics textbooks
David Bressoud: A radical approach to real analysis
William Dunham, Journey through genius
H. Eves, Great moments in mathematics (before 1650) (after 1650)
E. Hairer & G. Wanner, Analysis by its history
Arthur Knoebel, Reinhard Laubenbacher, Jerry Lodder, David Pengelley, Mathematical masterpieces: further chronicles by the explorers
Reinhard Laubenbacher & David Pengelley, Mathematical expeditions: chronicles by the explorers
William Priestley, Calculus, an historical approach
Saul Stahl,
Introductory modern algebra: a historical approach
Saul Stahl,
Real analysis: a historical approach
John Stillwell, Mathematics and its history
Otto Toeplitz, The calculus; a genetic approach
J. Tignol, Galois' theory of algebraic equations
John J. Watkins, Number theory: A historical approach
The role and use of history in teaching (includes some teaching materials)
Otto Bekken & Reidar Mosvald (editors), Study the masters: the Abel-Fauvel conference
Ronald Calinger (editor), Vita mathematica: historical research and integration with teaching
Miguel de Guzmán, Origin and Evolution of Mathematical Theories: Implications for Mathematical Education
Victor Katz (editor), Using history to teach mathematics: an international perspective
Man-Keung Siu, The ABCD of using history of mathematics in the (undergraduate) classroom
, in Bulletin of the Hong Kong Mathematical Society 1:1 (1997), 143-154; reprinted in Using history to teach nathematics: An international perspective (ed. V. Katz), pp.3-9.
Frank Swetz et al (editors), Learn from the masters!
Amy Shell-Gellasch and Dick Jardine
, From calculus to computers: Using the last 200 Years of mathematics history in the classroom
Amy Shell-Gellasch
, Hands on history: A resource for teaching mathematics
Victor Katz, Constantin Tzanakis (editors), Recent developments on introducing a historical dimension in mathematics education
Classroom materials
The Inter-IREM Commission (Evelyne Barbin et al, editors): History of mathematics; history of problems
National Council of Teachers of Mathematics, Historical topics for the mathematics classroom
Guram Bezhanishvili et al,
Teaching Discrete Mathematics via Primary Historical Sources
Janet Barnett et al,
Learning Discrete Mathematics and Computer Science via Primary Historical Sources
Janet Barnett et al,
TRIUMPHS
(
TR
ansforming
I
nstruction in
U
ndergraduate
M
athematics via
P
rimary
H
istorical
S
ources)
L. & W. Reimer, Historical connections in mathematics: resources for using history of mathematics in the classroom (3 volumes)
Dick Jardine and Amy Shell-Gellasch,
Mathematical time capsules: Historical modules for the mathematics classroom
Victor J. Katz and Karen Dee Michalowicz,
Historical modules for the teaching and learning of mathematics
Lodder
et al, Historical projects in discrete mathematics and computer science, in Resources for teaching discrete mathematics (B. Hopkins,
editor
)
Prose readings and collections of historically oriented articles
James Newman (ed.), The world of mathematics, 4 volumes
Frank Swetz (ed.), From five fingers to infinity: a journey through the history of mathematics
Reference works
Florian Cajori, A history of mathematical notations
Joseph Dauben, The history of mathematics from antiquity to the present: a selective bibliography (CD-ROM)
Dictionary of scientific biography
Ivor Grattan-Guinness, Companion encyclopedia of the history and philosophy of the mathematical sciences
Louise S. Grinstein and Paul J. Campbell, Women of mathematics : a biobibliographic sourcebook
Specialized histories
Asger Aaboe, Episodes from the early history of mathematics
Margaret E. Baron, The origins of the infinitesimal calculus
I. Bashmakova & G. Smirnova, The beginnings and evolution of algebra
J. L. Berggren, Episodes in the mathematics of medieval Islam
R. Bonola, Non-Euclidean geometry
U. Bottazzini, The higher calculus: a history of real and complex analysis from Euler to Weierstrass
Carl Boyer, History of the calculus and its conceptual development
Carl Boyer, History of analytic geometry
John Cannon, The evolution of dynamics: vibration theory from 1687 to 1742
Bruce Chandler, The history of combinatorial group theory: a case study in the history of ideas
L. E. Dickson, History of the theory of numbers
Jean Dieudonne, A history of algebraic and differential topology
Jean Dieudonne, History of functional analysis
C. H. Edwards, The historical development of the calculus
Harold M. Edwards, Fermat's last theorem : a genetic introduction to algebraic number theory
Herman Goldstine, A history of the calculus of variations from the 17th through the 19th century
H. Goldstine, A history of numerical analysis from the 16th through the 19th century
J. Grabiner, The origins of Cauchy's rigorous calculus
I. Grattan-Guinness, The development of the foundations of mathematical analysis from Euler to Riemann
I. Grattan-Guinness (ed.), From the calculus to set theory, 1630--1910: an introductory history
T. Hawkins, Lebesgue's theory of integration: its origins and development
T. L. Heath, A manual of Greek mathematics
T. L. Heath, A history of Greek mathematics
G. Joseph, The crest of the peacock: non-European roots of mathematics
Amy King, Pathways to probability; history of the mathematics of certainty and chance
Felix Klein, Development of mathematics in the 19th century
W. Knorr, The ancient tradition of geometric problems
Jesper Lutzen, The prehistory of the theory of distributions
Jerome Manheim, The genesis of point set topology
J.-C. Martzloff, A history of Chinese mathematics
Gregory Moore, Zermelo's axiom of choice: its origins, development, and influence
Otto Neugebauer, The exact sciences in antiquity
O. Ore, Number theory and its history
B. A. Rosenfeld, A history of non-Euclidean geometry: evolution of the concept of geometric space
Winfried Scharlau, From Fermat to Minkowski : lectures on the theory of numbers and its historical development
George Simmons, Calculus gems : brief lives and memorable mathematics
Ivor Thomas, Selections illustrating the history of Greek mathematics
Van der Waerden, A history of algebra: from al-Khwarizmi to Emmy Noether
Van der Waerden, Science awakening I: Egyptian, Babylonian, and Greek mathematics
Andre Weil, Number theory: an approach through history from Hammurapi to Legendre
H. Wussing, The genesis of the abstract group concept
Some general histories of mathematics
William Berlinghoff & Fernando Gouvêa
,
Math through the Ages: A Gentle History for Teachers and Others
Carl Boyer (& Uta Merzbach, 2nd edition), A history of mathematics
David M. Burton, The history of mathematics : an introduction
Stuart Hollingdale, Makers of mathematics
Victor Katz,
A History of Mathematics
Edna Kramer, The main stream of mathematics
Morris Kline, Mathematical thought from ancient to modern times
Edna Kramer, The main stream of mathematics
Herbert Meschkowski, Ways of thought of great mathematicians; an approach to the history of mathematics
David E. Smith, History of mathematics
Dirk Struik, A concise history of mathematics
Jeff Suzuki,
Mathematics in Historical Context
Mathematical biographies: numerous
Periodicals
Historia mathematica
Archive for history of exact sciences
Convergence
British Journal for the History of Mathematics (
formerly Bulletin of the British Society for History of Mathematics)
Revue d’histoire des mathématiques
Ganita Bharati : Bulletin of The Indian Society for History of Mathematics
Revista Brasileira de História da Matemática
Some web resources
International Study Group on the Relations Between the History and Pedagogy of Mathematics (HPM)
Teaching with original historical sources in mathematics
, David Pengelley, New Mexico State University
History of mathematics
, David Joyce, Clarkson University
History of mathematics
, David Wilkins, Trinity College, Dublin
History of Mathematics Web Sites
, David Calvis, Baldwin-Wallace College
Daniel Otero's Homepage
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Teaching with Original Historical Sources in Mathematics
Last revised May 28, 2020.