References
Brooks, E. (1859). The normal mental arithmetic. A thorough and complete course by analysis and induction, with a treatise on mental algebra. Philadelphia: Sower, Barnes & Potts.
Brooks, E. (1889). Normal methods of teaching containing a brief statement of the principles and methods of the science and art of teaching, for the use of normal classes and private students preparing themselves for teaching. Philadelphia: Normal Publishing Company.
Butler, N. M., & Smith, D. E. (1898). Held in the David Eugene smith professional papers collection. Rare books and manuscript library. New York: Columbia University.
Clements, M. A., Keitel, C., Bishop, A. J., Kilpatrick, J., & Leung, F. (2013). From the few to the many: Historical perspectives on who should learn mathematics. In M. A. Clements, A. J. Bishop, C. Keitel, J. Kilpatrick, & F. Leung (Eds.), Third international handbook of mathematics education (pp. 7–40). New York: Springer.
Colburn, W. (1830). Teaching of arithmetic. In J. K. Bidwell & R. G. Clason (Eds.), Readings in the history of mathematics education (pp. 24–37). Washington, DC: National Council of Teachers of Mathematics.
Ding, M. (2016). Developing preservice elementary specialized knowledge content knowledge for teaching fundamental mathematical ideas. The case of thee associative property. International Journal of STEM Education, 3(9), 1–19.
Drijvers, P. (2012). Digital technology in mathematics education: Why it works (or doesn’t). In Proceedings of the 12th International Congress on Mathematics Education (pp. 485–501). Seoul: ICME.
Dunkel, H. B. (1970). Herbart and Herbartianism: An educational ghost story. Chicago: University of Chicago Press.
Ellerton, N. F., & Clements, M. A. (2012). Rewriting the history of school mathematics in North America, 1607–1861. New York: Springer.
Guildford, J. P. (1959). Traits of creativity. In H. H. Anderson (Ed.), Creativity and its cultivation (pp. 142–161). New York: Harper & Brothers.
Hardy, G. H. (1940). A mathematician’s apology. London: Cambridge University Press.
Harris, W. T., Draper, A. S., & Tarbell, H. S. (1895). Report of the Committee of Fifteen. Boston: New England Publishing.
Husén, T. (1967). International study of achievement in mathematics: A comparison of twelve countries. Hamburg: International Project for the Evaluation of Educational Achievement.
James, W. (1899). Talks to teachers on psychology: And to students on some of life’s ideals. New York: Henry Holt and Company.
Joyce, B., & Showers, B. (2002). Student achievement through staff development (3rd ed.). Alexandria: Association for Supervision and Curriculum Development.
Kanbir, S., Clements, M. A., & Ellerton, N. F. (2017). Using design research and history to tackle a fundamental problem with school algebra. New York: Springer.
Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago: University of Chicago Press.
Loewus, L. H. (2015). Gender gaps at the Math Olympiad: Where are the girls? http://blogs.edweek.org/edweek/curriculum/2015/07/gender_gaps_at_the_math_olympiad_where_are_the_girls.html.
National Governors Association Center for Best Practices, & Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington, DC: Authors.
OECD (Organisation for Economic Co-Operation and Development). (2014). PISA 2012 results: Creative problem solving: Students’ skills in tackling real-life problems (Vol. 5). http://www.oecd.org/education/pisa-2012-results-volume-v.htm
Page, D. P. (1877). Theory and practice of teaching: The motives and methods of good school-keeping (90th ed.). New York: A. S. Barnes & Company.
Siemon, D., Horne, M., Clements, D., Confrey, J., Maloney, A., Samara, J., … Watson, A. (2017). Researching and using learning progressions (trajectories) in mathematics education. In B. Kaur, W. K. Ho, T. L. Toh, & B. H. Choy (Eds.), Proceedings of the 41st Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 109–136). Singapore: PME.
Sinclair, N., Pimm, D., & Skelin, M. (2012). Developing essential understanding of geometry, for teaching mathematics in grades 9–12. Reston: National Council of Teachers of Mathematics.
Smith, D. E. (1900). The teaching of elementary mathematics. New York: Macmillan.
Thomas, G. (1997). What’s the use of theory? Harvard Educational Review, 67(1), 75–104.
Thorndike, E. L. (1906). The principles of teaching based on psychology. New York: AG Seiler.
Thorndike, E. L. (1917). The Thorndike arithmetic: Book one. Chicago: Rand McNally & Company.
Torrance, E. P. (1966). Creativity: Its educational implications. New York: Wiley.
Travers, K., & Westbury, I. (1989). The IEA study of mathematics I: Analysis of mathematics curricula. New York: Pergamon Press.
Westbury, I. (1980). Change and stability in the curriculum: An overview of the questions. In H. G. Steiner (Ed.), Comparative studies of mathematics curricula: Change and stability 1960–1980 (pp. 12–36). Bielefeld: Institut für Didaktik der Mathematik-Universität Bielefeld.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ellerton, N.F. Book Review: NCTM’s Compendium: finding a balance between historical details, contemporary practices, and future resources. Jinfa Cai (Ed.) (2017) Compendium for research in mathematics education. Educ Stud Math 99, 109–123 (2018). https://doi.org/10.1007/s10649-018-9827-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10649-018-9827-2