Extensive Bibliography

Written By Sheila Prakash

I didn’t do this alone. These cards were built with love on the backs of brilliant people. Here are their names and works:

  • Aaker, Jennifer & Bagdonis, Naomi. Humor, Seriously. Random House (2021)

  • Abeles, Vicki. Beyond Measure. Simon & Schuster. (2015)

  • Adams, Colin C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. American Mathematical Society (2004)

  • Ashcraft, M.H. “Math anxiety: Personal, educational, and cognitive consequences.” Current Directions in Psychological Science 11 (5) pp. 181-185 (2002)

  • Angrist, Noam et at. “How to Improve Education Outcomes Most Efficiently? A Comparison of 150 Interventions Using the New Learning-Adjusted Years of Schooling Metric.” World Bank Group. Education Global Practice & Development Research Group. October 2020. Policy Research Working Paper 9450

  • Ball, Deborah Loewenberg. “Magical Hopes: Manipulatives and the Reform of Math Education.” American Educator (1992)

  • Barton, Craig. How I Wish I’d Taught Maths. John Catt Educational Ltd. (2018)

  • Bingham, T. & Rodriguez, R.C. “Understanding Fractions Begins with Literacy.” Texas Association for Literacy Education Yearbook Vol 6: Discover the Heart of Literacy ISSN: 237400590 online. (2019)

  • Boaler, Jo. Fluency. “Without Fear: Research Evidence on the Best Ways to Learn Math Facts.” youcubed at Stanford University (2015)

  • Boaler, Jo. Mathematical Mindsets. Jossey-Bass. (2016)

  • Boaler, Jo. The Elephant in the Classroom. Souvenir Press (2015)

  • Burnett-Bradshaw, Camille S. “From Functions As Process to Functions as Object: A Review of Reification and Encapsulation.” A qualifying paper for the Doctor of Philosophy. Tufts (2007)

  • Christian, Brian; Griffiths, Tom. Algorithms To Live By: The Computer Science of Human Decisions.” Picador (2016)

  • Dweck, Carol. Mindset. Ballantine Books. (2006)

  • Euclid. The Thirteen Books of the Elements, Vol 1. Dover. (1956)

  • Gillings, Richard J. Mathematics in the Time of the Pharoahs. Cambridge, Mass. M.I.T. Press. (1972)

  • Hammack, Richard. Book of Proof, Third Edition. Published by Richard Hammack (2018)

  • Kaplan, Robert; Kaplan, Ellen. Out of the Labyrinth: Setting Mathematics Free. Oxford University Press. (2007)

  • Klee, Paul. Pedagogical Sketchbook. Faber & Faber Limited. (1953)

  • Liljedahl, Peter. Building Thinking Classrooms.

  • Lockhart, Paul. Measurement. Harvard University Press. (2012)

  • Lin, Thomas. The Prime Number Conspiracy. The Simons Foundation (2018)

  • Lomborg, Bjorn. Best Things First. Copenhagen Consensus Center. (2023)

  • Newman, James R. Volume 1: The World of Mathematics. Simon and Schuster. (1956)

  • Nuthall, Graham. The Hidden Lives of Learners. Nzcer Press. (2007)

  • Penrose, Roger. The Road to Reality: A Complete Guide to the Laws of the Universe. New York, A. A. Knopf (2005)

  • Pettis, Christy Rae. Preservice Elementary Teachers’ Understandings of the Connections Among Decimals, Fractions, and the Set of Rational Numbers: A Descriptive Case Study. A Dissertation Submitted to the Faculty of University of Minnesota. (2015)

  • Ramirez, Gerardo et al. Math Anxiety, Working Memory, and Math Achievement in Early Elementary School, Journal of Cognition and Development, 14:2, 187-202. (2013)

  • Roberts, Siobhan. King of Infinite Space. Walker Publishing Company. (2006)

  • Russo, Lucio. The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn. Springer-Verlag (2004)

  • Sherrington, Tom. The Learning Rainforest. John Catt Educational Ltd. (2017)

  • Steward, Ian. Taming the Infinite

  • Thompson, Silvanus P. & Martin Gardner. Calculus Made Easy. St. Martin’s Press. (1998)

  • Unesco Institite for Statistics. “More Than One-Half of Children and Adolescents Are Not Learning Worldwide.” UIS Fact Sheet No. 46. September 2017

  • Vamvakoussi, X. & Vosniadou, S. How many decimals are there between two fractions? Aspects of secondary school students’ reasoning about rational numbers and their notation. Cognition & Instruction, 28(2), 181-209. (2010)

  • Wallace, David Foster. Everything and More: A Compact History of Infinity. W. W. Norton & Company. (2003)

  • Willingham, Daniel T. Why Don’t Students Like School? Jossey-Bass. (2021)

  • Zeki, Semir et. al. (2014) The Experience of Mathematical Beauty and its Neural Correlates. Frontiers in Human Neuroscience. Vol 8 Article 68

Sheila Prakash
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