Skip to main content

Advertisement

Log in

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

Reston, VA: National Council of Teachers of Mathematics. xii + 1008 pp. ISBN 978-0-87353-711-7 (pbk) $375.00, (e-book) $281.25

  • Published:
Educational Studies in Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Ellerton, N. F., & Clements, M. A. (2012). Rewriting the history of school mathematics in North America, 1607–1861. New York: Springer.

    Book  Google Scholar 

  • Guildford, J. P. (1959). Traits of creativity. In H. H. Anderson (Ed.), Creativity and its cultivation (pp. 142–161). New York: Harper & Brothers.

    Google Scholar 

  • Hardy, G. H. (1940). A mathematician’s apology. London: Cambridge University Press.

    Google Scholar 

  • Harris, W. T., Draper, A. S., & Tarbell, H. S. (1895). Report of the Committee of Fifteen. Boston: New England Publishing.

    Google Scholar 

  • Husén, T. (1967). International study of achievement in mathematics: A comparison of twelve countries. Hamburg: International Project for the Evaluation of Educational Achievement.

    Google Scholar 

  • James, W. (1899). Talks to teachers on psychology: And to students on some of life’s ideals. New York: Henry Holt and Company.

    Book  Google Scholar 

  • Joyce, B., & Showers, B. (2002). Student achievement through staff development (3rd ed.). Alexandria: Association for Supervision and Curriculum Development.

    Google Scholar 

  • 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.

    Google Scholar 

  • Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago: University of Chicago Press.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Smith, D. E. (1900). The teaching of elementary mathematics. New York: Macmillan.

    Google Scholar 

  • Thomas, G. (1997). What’s the use of theory? Harvard Educational Review, 67(1), 75–104.

    Article  Google Scholar 

  • Thorndike, E. L. (1906). The principles of teaching based on psychology. New York: AG Seiler.

    Google Scholar 

  • Thorndike, E. L. (1917). The Thorndike arithmetic: Book one. Chicago: Rand McNally & Company.

    Google Scholar 

  • Torrance, E. P. (1966). Creativity: Its educational implications. New York: Wiley.

    Google Scholar 

  • Travers, K., & Westbury, I. (1989). The IEA study of mathematics I: Analysis of mathematics curricula. New York: Pergamon Press.

    Google Scholar 

  • 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.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nerida F. Ellerton.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

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

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10649-018-9827-2

Navigation