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Aiding the Teaching of Geometry and Affording Mathematical Recreation: Paper Folding in the Spirit of Sundara Rao of Madras – References

Peggy Aldrich Kidwell (National Museum of American History, Smithsonian Institution)


Ackerberg-Hastings, Amy. 2014. Protractors as Objects of American School Geometry Teaching. International Journal for the History of Mathematics Education 9(2): 1–14.

Aley, Robert Judson. 1901, December. Review of Geometric Exercises in Paper Folding, edited by W. W. Beman and D. E. Smith. The Educator-Journal 2(4): 178.

Allen, Ann Taylor. 1988, Spring. ‘Let Us Live with Our Children’: Kindergarten Movements in Germany and the United States, 1840–1914. History of Education Quarterly 28: 23–48.

Anonymous. 1887, January 20. Review of The Elements of Euclid, by H. Deighton; Euclid Revised, edited by R. C. J. Nixon; First Lessons in Geometry, by B. Hanumantha Rau; and The Origins of Geometry, by Horace Lamb. Nature 35(899): 269–270.

Anonymous. 1888, May 17. Telegraph review of First Lessons in Geometry, 2nd ed., by B. Hanumantha Rau. Nature 37(968): 53.

Anonymous. 1894, December. Books and Magazines Received. The Mathematical Gazette 1(3): 24.

Anonymous. 1896, April 9. Scientific Serials: Bulletin of the American Mathematical Society, vol. ii. No. 6 March 1896. Nature 53(1380): 549–550.

Anonymous. 1897, November. Book Reviews and Notes [Notice of Famous Problems of Elementary Geometry]. The Open Court 11(498): 704.

Anonymous. 1898a, January. Book Notices. Popular Astronomy 5(9): 503–504.

Anonymous. 1898b, November 17. Review of Famous Problems of Elementary Geometry, translated by W. W. Beman and D. E. Smith. Nature 59(1516): 52.

Anonymous. 1902a, January. Review of Geometric Exercises in Paper Folding, by T. Sundara Row. Dominicana: A Magazine of Catholic Literature 3(1): 37–38.

Anonymous. 1902b, February 8. New Books, Etc. Scientific American 86(6): 95–97.

Anonymous. 1902c, November. Review of Geometric Exercises in Paper Folding, edited by W. W. Beman and D. E. Smith. Kindergarten Magazine 15(3): 189.

Anonymous. 1907, March. The Journal of Education n. s. 29(3): 184.

Anonymous. 1911, March. The Mathematical Association Roll of Members. The Mathematical Gazette 6(91): front matter, 2–36.

Anonymous. 1916, September. Successful School Men: Robert Judson Aley, President of the University of Maine and President Elect of the N. E. A., 1916–1917. American Education 20(1): 33–34.

Archibald, Raymond Claire. 1914, October. Remarks on Klein's “Famous Problems of Elementary Geometry”. The American Mathematical Monthly 21(8): 247–259.

Beatty, Barbara. 1995. Preschool Education in America. New Haven and London: Yale University Press.

Beman, Wooster Woodruff, and David Eugene Smith. 1895. Plane and Solid Geometry. Boston: Ginn & Company.

Berger, Meyer. 1958, June 27. About New York: Origami, the Ancient Art of Paper-Folding, Has Gramercy Square Disciple. New York Times, 51.

Billingsley, Henry, trans. 1570. The Elements of Geometrie by the most auncient Philosopher Euclide of Megara. London: John Daye.

Billington, Mary Frances. 1895. Woman in India. London: Chapman and Hall.

Bradley, Michael J. 2006. Modern Mathematics 1900 to 1950. New York: Chelsea House Publishers.

Brander, Isabel. 1878, September. The Kindergarten for India. Journal of the National Indian Association in Aid of Social Progress in India (93): 357–363.

Brander, Isabel. 1887, February. The Kindergarten in Madras. The Indian Magazine (194): 71–74. The article was reprinted in the Report of the [US] Commissioner of Education, vol. 2, Washington, DC: Government Printing Office, 1890–1891, 775–776.

Brander, Isabel. 1896. The Kindergarten in the Madras Presidency. The Indian Magazine and Review (302): 93–105.

Brander, Isabel. 1899–1900. Kindergarten Teaching in India. Stories, Object Lessons, Occupations, Songs and Games. Part I. Infant Standard - Part II. First Standard - Part III. Second Standard. London, Bombay, Calcutta: Macmillan and Co.

Brock, William H., and Michael Price. 1980, November. Squared Paper in the Nineteenth century: Instrument of Science and Engineering, and Symbol of Reform in Mathematical Education. Educational Studies in Mathematics 11(4): 365–381.

Brosterman, Norman. 1997. Inventing Kindergarten. New York: Harry N. Abrams.

Brunton, James. 1973, February. The Cube Dissected into Three Yángmǎ. Mathematical Gazette 57(399): 66–67.

Campbell, William T. 1899. Observational Geometry. New York: American Book Company.

Cajori, Florian. 1910, October. Attempts Made during the Eighteenth and Nineteenth Centuries to Reform the Teaching of Geometry. The American Mathematical Monthly 17(10): 181–201.

Cosgrove,Catherine A. 1989. A History of the American Kindergarten Movement from 1860 to 1916. Ed. D. diss., Northern Illinois University.

Cotton, J.S. 1898. Progress of Education in India 1892–93 to 1896–97. London: Stationery Office.

Craik, Alex D. D. 2007. Mr. Hopkins’ Men: Cambridge Reform and British Mathematics in the Nineteenth Century. London: Springer.

Cromwell, Peter R. 1997. Polyhedra. Cambridge: Cambridge University Press.

Dyck, Walther von. 1893, supp. Katalog mathematischer und mathematisch-physikalischer Modelle, Apparate und Instrumente. München, 1892, mit einem Nachtrag von 1893.

Finkel, Benjamin Franklin. 1901, October. Review of Geometric Exercises in Paper Folding, edited by W. W. Beman and D. E. Smith. American Mathematical Monthly 8(10): 212.

Frick, Bertha Margaret. 1936, January. Bibliography of the Critical, Historical and Pedagogical Writings of David Eugene Smith. Osiris 1: 9–78.

Friedman, Michael. 2016. Two Beginnings of Geometry and Folding: Hermann Wiener and Sundara Row. BSHM Bulletin: Journal of the British Society for the History of Mathematics 31(1): 52–68.

Friedman, Michael. 2018. “Falling into disuse”: the rise and fall of Froebelian mathematical folding within British kindergartens. Paedagogica Historica 54(5): 564–587.

Froebel, Friedrich. 1903. Education by Development The Second Part of the Pedagogics of the Kindergarten. Translated by Josephine Jarvis. New York: Appleton.

Gibb, William. 1990, May. Paper Patterns 2: Solid Shapes from Metric Paper. Mathematics in School 19(3): 2–4.

Ginsburg, Jekuthial. 1926, May. Professor Smith’s Literary Activities. Mathematics Teacher 19(5): 306–311.

Hardcastle, Joseph A. 1909–1910. Aberration at the Pole of the Ecliptic. Journal of the British Astronomical Association 20(8): 443–447.

Hull, Thomas C. 2011, April. Solving Cubics With Creases: The Work of Beloch and Lill. American Mathematical Monthly 118(4): 307–315.

Johnson, Donovan A. 1957. Paper Folding for the Mathematics Class. Washington, D.C.: National Council of Teachers of Mathematics. The book reached its 14th printing in 1999.

Kallop, Edward. 1959. Plane Geometry & Fancy Figures: An Exhibition of the Art & Technique of Paper Folding. New York: Cooper Union Museum for the Arts of Decoration.

Kidwell, Peggy Aldrich. 1996. American Mathematics Viewed Objectively: The Case of Geometric Models. In Vita Mathematica, edited by Ronald Calinger, 197–208. Washington, D.C.: Mathematical Association of America.

Klein, Felix. 1895. Vorträge űber Ausgewählte Fragen den Elementargeometrie. Leipzig: B. G. Teubner.

Klein, Felix. 1897. Famous Problems of Elementary Geometry. Translated by Wooster Woodruff Beman and David Eugene Smith. Boston: Ginn and Company.

Knorr, Wilbur Richard. 1993. The Ancient Tradition of Geometrical Problems. 2nd ed. New York: Dover Publishers, Inc.

Langley, Edward M. 1894, December 20. Geometry in Schools. Nature 51(1312): 176–177.

Langley, Edward M. 1902, October. Review of Geometric Exercises in Paper Folding, edited by W. W. Beman and D. E. Smith. Mathematical Gazette 2(35): 209.

Langley, Edward M. 1904, June. Common Room Papers: Unconventional Lessons in Mathematics – II. Geometrical Progression. School: A Monthly Record of Educational Thought and Progress 1: 280-284.

Lister, David. 2009. Martin Gardner and Paperfolding [sic]. In Mathematical Wizardry for a Gardner, edited by Ed Oegg, Jr., Alan Schoen, and Tim Rodgers. Wellesley, MA: A.K. Peters, 2009.

Litchfield, Norma M. 1892. How to Teach Paper-folding and Cutting: A Practical Manual-training Aid. Lebanon, Ohio: March Brothers.

Lotka, Alfred J. 1907, October. Construction of Conic Sections by Paper-folding. School Science and Mathematics 7(7): 595–597. This article was republished in Scientific American Supplement 73(1885), February 17, 1912.

Markowsky, George. 1991, March. Making a Golden Rectangle by Paper Folding. Mathematical Gazette 75(471): 85–87.

Martin, George E. 1998. Geometric Constructions. Berlin: Springer-Verlag.

May, Helen, Baljit Kaur, and Larry Prochner. 2014. Empire, Education, and Indigenous Childhoods: Nineteenth-Century Missionary Infant Schools in Three British Colonies, Farnham, England: Ashgate.

Miall, Louis C. 1897. Thirty Years of Teaching. London: Macmillan.

Miura, R. M. et al. 2007, April. Obituaries: Martin D. Kruskal. SIAM News 40(3).

Mueller, Lothar. 2014. White Magic: The Age of Paper. Translated by Jessica Spengler. Cambridge, UK, and Malden, MA: Polity Press.

Nevill, Cecily. 1996, September. Folded Polyhedra. Mathematics in School 25(4): 33–44.

Pope, G. U. 1888, August. Review of First Lessons in Geometry, 2nd ed., by Hanumanta Rau. The India Magazine (212): 427.

Price, Michael. 1994. Mathematics for the Multitude: A History of the Mathematical Association. London: The Mathematical Association.

Pritchard, Chris, ed. 2003. The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry Teaching. Cambridge: Cambridge University Press.

Rau, B. Hanumanta. 1888. First Lessons in Geometry. For the Use of Technical, Middle, and High Schools. 2nd ed. Vepery: Printed at the Society for the Propagation of Christian Knowledge Press.

Richards, Joan L. 1988. Mathematical Visions: The Pursuit of Geometry in Victorian England. Boston: Academic Press, Inc..

Roberts, David L. 2012. American Mathematicians as Educators, 1893–1923: Historical Roots of the “Math Wars”. Boston: Docent Press.

Roberts, Shirley. 2005. Sophia Jex-Blake: A Woman Pioneer in Nineteenth Century Medical Reform. Routledge.

Ronge, Johann and Bertha. 1858. A Practical Guide to the English Kinder-garten, London: Hodson & Son.

Rao, T. Sundara. 1923–1924. Exercises with a Ribbon of Paper. Educational Review: 485–486, 606 (1923 volume); 33, 266, 310, 377 (1924 volume).

Rao, T. Sundara. 1925a. The Cubic Equation. Educational Review: 192–193.

Rao, T. Sundara. 1925b. The Elliptic Compass. Educational Review: 370–371, 467–468, 549–551.

Row, T. Gopala. 1875. In Report on Public Instruction in the Madras Presidency for 1873–74, 110–111. Madras: Government Press.

Row, T. Sundara. 1893. Geometrical Exercises in Paper Folding. Madras: Addison & Co.

Row, T. Sundara. 1901. Geometric Exercises in Paper Folding. Edited by W. W. Beman and D. E. Smith. Chicago: Open Court Publishing Company. Reprinted: 1917; New York: Dover, 1966.

Scott, Charlotte Angas. 1896, March. The Three Great Problems of Antiquity Considered in the Light of Modern Mathematical Research. Bulletin of the American Mathematical Society 2(6): 157–164.

Scott, Charlotte Angas. 1898, January. Review of Famous Problems of Elementary Geometry, translated by W. W. Beman and D. E. Smith. Bulletin of the American Mathematical Society 4(4): 167–168.

Smith, David Eugene. 1895, November. Review of Vorträge űber Ausgewählte Frägen den Elementargeometrie, by Felix Klein. The School Review 3(9): 571–572.

Smith, David Eugene. 1860–1945. David Eugene Smith Professional Papers. Rare Book and Manuscript Library, Columbia University, New York, New York.

Snyder, Virgil. 1902, February. Review of Geometric Exercises in Paper Folding, edited by W. W. Beman and D. E. Smith. Journal of Physical Chemistry 6(2): 145.

Speer, William W. 1888. Form Lessons, to Prepare for and to Accompany the Study of Number. Chicago: Donohue and Henneberry.

Todhunter, Isaac. 1862. The Elements of Euclid for the Use of Schools and Colleges. Cambridge: Macmillan.

W. [possibly J. H. Warder, Secretary and Librarian of the Western Society of Engineers]. 1901, December. Review of Geometric Exercises in Paper Folding,  edited by W. W. Beman and D. E. Smith. Journal of the Western Society of Engineers 6(6):594.

Willson, F. N. 1902, March 21. Review of Geometric Exercises in Paper Folding, edited by W. W. Beman and D. E. Smith. Science, n.s. 15(377): 464–465.

Wilson, James Maurice. 1868. Elementary Geometry. 2 vol. London and Cambridge: Macmillan and Co.

Young, Grace Chisholm, and William Henry Young. 1905. The First Book of Geometry. London: J. M. Dent & Co.


Peggy Aldrich Kidwell (National Museum of American History, Smithsonian Institution), "Aiding the Teaching of Geometry and Affording Mathematical Recreation: Paper Folding in the Spirit of Sundara Rao of Madras – References," Convergence (March 2023)

Aiding the Teaching of Geometry and Affording Mathematical Recreation: Paper Folding in the Spirit of Sundara Rao of Madras