BIBLIOGRAPHY

BOOKS

• Acheson, David. The Calculus Story. Oxford: Oxford University Press, 2017.
• Aguirre, Anthony, Brendan Foster, and Zeeya Merali, eds. Trick or Truth? The Mysterious Connection Between Physics and Mathematics. Cham, Switzerland: Springer International Publishing, 2016.
• Baddeley, A. D. Working Memory. New York: Oxford University Press, 1986.
• Balaguer, Mark. Platonism and Anti-Platonism in Mathematics. New York: Oxford University Press, 1998.
• Bellos, Alex. The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life. New York: Simon & Schuster, 2014.
• Berlinski, David. A Tour of the Calculus. New York: Vintage Books, 1997.
• Birrell, Anne. Chinese Myths. Austin: University of Texas Press, 2000.
• Bransford, J. D. Human Cognition: Learning, Understanding, and Remembering. Belmont, CA: Wadsworth, 1979.
• Bronowski, Jacob. The Ascent of Man. London: Book Club Associates, 1973.
• Brown, James Robert. Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures, 2nd ed. New York: Routledge, Taylor & Francis Group, 2008.
• Brown, Richard G., Ray C. Jurgenson, and John W. Jurgenson. Geometry. Evanston, IL: McDougal Little, 2011.
• Caldwell, Chris, and G. L. Honaker, Jr. Prime Curios! The Dictionary of Prime Number Trivia. CreateSpace, 2009.
• Carey, Benedict. How We Learn: The Surprising Truth About When, Where, and Why It Happens. New York: Random House, 2015.
• Changeux, Jean-Pierre, and Alain Connes. Conversations on Mind, Matter, and Mathematics. Princeton, NJ: Princeton University Press, 1995.
• Cheng, Eugenia. Beyond Infinity: An Expedition to the Outer Limits of Mathematics. New York: Basic Books, 2017.
• Conway, John H., and Richard K. Guy. The Book of Numbers. New York: Copernicus, 1996.
• Courant, Richard, and Herbert Robbins. What Is Mathematics? An Elementary Approach to Ideas and Methods. New York: Oxford University Press, 1996.
• Darling, David, and Agnijo Banerjee. Weird Math: A Teenage Genius and His Teacher Reveal the Strange Connections Between Math and Everyday Life. New York: Basic Books, 2018.
• Davis, Philip J., and Reuben Hersh. The Mathematical Experience. New York: Mariner Books, 1998.
• Dedekind, Richard. Essays on the Theory of Numbers. Chicago: Open Court Publishing Company, 1901.
• Dehaene, Stanislas. The Number Sense: How the Mind Creates Mathematics. New York: Oxford University Press, 1997.
• Descartes, René. Discourse on the Method of Rightly Conducting the Reason and Seeking the Truth in the Sciences. New York: P. F. Collier & Son, 1909.
• Ellenberger, Henri F. The Discovery of the Unconscious: The History and Evolution of Dynamic Psychiatry. New York: Basic Books, 1970.
• Euclid. Euclid’s Elements. Translated by Thomas L. Heath. Santa Fe, NM: Green Lion Press, 2017.
• Franz, Marie-Louise von. Alchemy: An Introduction to the Symbolism and the Psychology. Toronto: Inner City Books, 1980.
• Frenkel, Edward. Love and Math: The Heart of Hidden Reality. New York: Basic Books, 2013.
• Geary, D. C. Children’s Mathematical Development: Research and Practical Applications. Washington, DC: American Psychological Association, 1994.
• Gelfand, I. M., and Alexander Shen. Algebra. Basel and Boston: Birkhäuser Verlag, 2004.
• Gowers, Timothy. Mathematics: A Very Short Introduction. New York: Oxford University Press, 2002.
• Graham, Loren, and Jean-Michel Kantor. Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity. Cambridge, MA: Harvard University Press, 2009.
• Hacking, Ian. Why Is There Philosophy of Mathematics at All? Cambridge and New York: Cambridge University Press, 2014.
• Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work. Providence: AMS Chelsea Publishing, 1999.
• Harris, Michael. Mathematics Without Apologies: Portrait of a Problematic Vocation. Princeton, NJ: Princeton University Press, 2017.
• Heaton, Luke. A Brief History of Mathematical Thought. New York: Oxford University Press, 2017.
• Hoffman, Paul. The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth. New York: Hyperion, 1998.
• Hofstadter, Douglas J. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Basic Books, 1999.
• Iamblichus. The Theology of Arithmetic: On the Mystical, Mathematical and Cosmological Symbolism of the First Ten Numbers. Translated by Robin Waterfield. Grand Rapids, MI: Phanes Press, 1988.
• Kasner, Edward, and James R. Newman. Mathematics and the Imagination. Mineola, NY: Dover Publications, 1940.
• Katz, Victor J., and Karen Hunger Parshall. Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century. Princeton, NJ: Princeton University Press, 2020.
• Kleppner, Daniel, and Norman Ramsey. Quick Calculus: A Self-Teaching Guide. New York: John Wiley & Sons, 1985.
• Kline, Morris. Mathematics: The Loss of Certainty. New York: Fall River Press, 1980.
• ________. Mathematics for the Nonmathematician. New York: Dover Press, 1967.
• Lakoff, George, and Rafael E. Nuñez. Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. New York: Basic Books, 2000.
• Lang, Serge. The Beauty of Doing Mathematics: Three Public Dialogues. New York: Springer Verlag, 1985.
• Larson, Ron, Laurie Boswell, Timothy Kanold, and Lee Stiff. Algebra 1. Orlando: Holt McDougal, 2012.
• Livio, Mario. Is God a Mathematician? New York: Simon & Schuster, 2009.
• Lockhart, Paul. Arithmetic. Cambridge, MA: Harvard University Press, 2017.
• Manin, Yuri I. Mathematics as Metaphor: Selected Essays of Yuri I. Manin. Providence: American Mathematical Society, 2007.
• Mazur, Barry. Imagining Numbers: (particularly the square root of minus fifteen). New York: Farrar, Straus and Giroux, 2003.
• Nickerson, Raymond S. Mathematical Reasoning: Patterns, Problems, Conjectures, and Proofs. New York: Psychology Press, 2010.
• Oakley, Barbara A. A Mind for Numbers: How to Excel at Math and Science (Even if You Flunked Algebra). New York: Jeremy P. Tarcher/Penguin, 2014.
• Paulos, John Allen. Innumeracy: Mathematical Illiteracy and Its Consequences. New York: Hill and Wang, 1988.
• ________. Irreligion: A Mathematician Explains Why the Arguments for God Just Don’t Add Up. New York: Hill and Wang, 2008.
• Penrose, Roger. The Road to Reality: A Complete Guide to the Laws of the Universe. New York: Vintage Books, 2007.
• Polo, Marco. The Travels of Marco Polo. New York: Penguin Putnam, 1958.
• Pólya, George. How to Solve It: A New Aspect of Mathematical Method. Princeton, NJ: Princeton University Press, 1945.
• Ruelle, David. The Mathematician’s Brain. Princeton, NJ: Princeton University Press, 2007.
• Russell, Bertrand. Mysticism and Logic and Other Essays. London: George Allen & Unwin Ltd., 2010.
• Sautoy, Marcus du. The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics. New York: Harper Perennial, 2003.
• Shimura, Goro. The Map of My Life. New York: Springer Science-Business Media, 2008.
• Spinoza, Benedict de. Ethics. New York: Penguin Putnam, 1995.
• Steen, Lynn Arthur, ed. Mathematics Today: Twelve Informal Essays. New York: Springer Verlag, 1978.
• Sterling, Mary Jane. Algebra for Dummies. Hoboken, NJ: John Wiley & Sons, 2010.
• Stewart, Ian. The Beauty of Numbers in Nature: Mathematical Patterns and Principles from the Natural World. Cambridge, MA: MIT Press, 2017.
• Strogatz, Steven. The Joy of X: A Guided Tour of Math, from One to Infinity. Boston: Houghton Mifflin Harcourt, 2012.
• Taylor, Thomas. Theoretic Arithmetic of the Pythagoreans. New York: S. Weiser, 1972 (1st ed. 1816).
• Thompson, Silvanus. Calculus Made Easy. London: Macmillan, 1914.
• Watkins, Matthew. Secrets of Creation. Vol. 1: The Mystery of the Prime Numbers. Charlotte, NC: John Hunt, 2015.
• Weil, André. The Apprenticeship of a Mathematician. Translated by Jennifer Gage. Basel and Boston: Birkhäuser Verlag, 1992.
• Weinberg, Steven. Dreams of a Final Theory. New York: Vintage Books, 1993.
• Wybrow, Cameron, ed. Creation, Nature, and Political Order in the Philosophy of Michael Foster (1903–1959): The Classic Mind Articles and Others, with Modern Critical Essays. Lewiston, NY: Edwin Mellen Press, 1992.

ARTICLES

• Aloğlu, Mustafa, and Paul Zelhart. “Psychometric Properties of the Revised Mathematics Anxiety Rating Scale.” Psychological Record 57, no. 4 (2007): 593–611.
• Amalric, Marie, and Stanislas Dehaene. “Origins of the Brain Networks for Advanced Mathematics in Expert Mathematicians.” Proceedings of the National Academy of Sciences 113, no. 18 (May 2016): 4909–17.
• Andrews, G. E. “An Introduction to Ramanujan’s ‘Lost’ Notebook.” American Mathematical Monthly 86 (1979): 89–108.
• Ashcraft, M. H., and K. S. Ridley. “Math Anxiety and Its Cognitive Consequences: A Tutorial Review.” In Handbook of Mathematical Cognition. Edited by Jamie I. D. Campbell. New York: Psychology Press, 2005, 315–27.
• Attig, M. S., and L. Hasher. “The Processing of Occurrence Information by Adults.” Journal of Gerontology 35 (1980): 66–69.
• Baddeley, A. D., and G. J. Hitch. “Working Memory.” In The Psychology of Learning and Motivation, vol. 8. Edited by G. H. Bower. New York: Academic Press, 1974, 47–90.
• Bartelet, D., et al. “What Basic Number Processing Measures in Kindergarten Explain Unique Variability in First-Grade Arithmetic Proficiency?,” Journal of Experimental Child Psychology 117 (2014): 12–28.
• Bean, J., and M. Metzner. “A Conceptual Model of Nontraditional Undergraduate Student Attrition.” Review of Educational Research 55 (1985): 485–540.
• Beilock, S. L., et al. “Female Teachers’ Math Anxiety Affects Girls’ Math Achievement.” Proceedings of the National Academy of Sciences 107 (2010): 1860–63.
• Beilock, S. L., et al. “More on the Fragility of Performance: Choking Under Pressure in Mathematical Problem Solving.” Journal of Experimental Psychology: General 133 (2004): 584–600.
• Bishop, S. J. “Neurocognitive Mechanisms of Anxiety: An Integrative Account.” Trends in Cognitive Sciences 11, no. 7 (2007): 307–16.
• Bradford, J. D., and M. K. Johnson. “Contextual Prerequisites for Understanding: Some Investigations of Comprehension and Recall.” Journal of Verbal Learning and Verbal Behavior 11 (1972): 717–26.
• Burke, D. M., and L. L. Light. “Memory and Aging: The Role of Retrieval Processes.” Psychological Bulletin 90, no. 3 (1981): 513–46.
• Cajori, Florian. “Absurdities Due to Division by Zero: An Historical Note.” Mathematics Teacher 22, no. 6 (1929): 366–68.
• Cassou-Noguès, Pierre. “On Gödel’s ‘Platonism.’” Philosophia Scientiae 2 (September 2011): 137–72.
• Chavez, C. “Involvement, Development, and Retention: Theoretical Foundations and Potential Extensions for Adult Community College Students.” Community College Review 34 (2006): 139–52.
• Cho, S., et al. “How Does a Child Solve 7 + 8? Decoding Brain Activity Patterns Associated with Counting and Retrieval Strategies.” Developmental Science 14 (2011): 989–1001.
• Coffey, M. “Rising to the Numeracy Challenge.” Adults Learning 22 (2011): 30–31.
• Connelly, S. L., L. Hasher, and R. T. Zacks. “Age and Reading: The Impact of Distraction.” Psychology and Aging 6 (1991): 533–41.
• DeCaro, M. S., et al. “Diagnosing and Alleviating the Impact of Performance Pressure on Mathematical Problem Solving.” Quarterly Journal of Experimental Psychology 63 (February 2010): 1619–30.
• Dehaene, S., et al. “Sources of Mathematical Thinking: Behavioral and Brain-Imaging Evidence.” Science 284 (1999): 970–74.
• De Smedt, B., I. D. Holloway, and D. Ansari. “Effects of Problem Size and Arithmetic Operation on Brain Activation During Calculation in Children with Varying Levels of Arithmetical Fluency.” Neuroimage 57 (2011): 771–81.
• Dumontheil, I., and T. Klingberg. “Brain Activity During a Visuospatial Working Memory Task Predicts Arithmetical Performance 2 Years Later.” Cerebral Cortex 22 (2012): 1078–85.
• Faust, M. W., M. H. Ashcraft, and D. E. Fleck. “Mathematics Anxiety Effects in Simple and Complex Addition.” Mathematical Cognition 2 (1996): 25–62.
• Fennema, E. “The Study of Affect and Mathematics: A Proposed Generic Model for Research.” In Affect and Mathematical Problem Solving: A New Perspective. Edited by D. B. McLeod and V. M. Adams. New York: Springer Verlag, 1989, 205–19.
• Freeston, M. H., et al. “Cognitive Intrusions in a Non-Clinical Population. I. Response Style, Subjective Experience, and Appraisal.” Behaviour Research and Therapy 29 (1991): 585–97.
• Galla, B. M., and J. J. Wood. “Emotional Self-Efficacy Moderates Anxiety-Related Impairments in Math Performance in Elementary School–Aged Youth.” Personality and Individual Differences 52 (2012): 118–22.
• ________. “Cognitive Predictors of Achievement Growth in Mathematics: A 5-Year Longitudinal Study.” Developmental Psychology 47 (2012): 1539–52.
• ________. “From Infancy to Adulthood: The Development of Numerical Abilities.” European Child and Adolescent Psychiatry 9 (2000): II/11–II/16.
• ________. “Mathematical Disabilities: Cognitive, Neuropsychological, and Genetic Components.” Psychological Bulletin 114 (1993): 345–62.
• Ginsburg, L. “Effective Strategies for Teaching Math to Adults.” In B. H. Wasik, ed., Handbook of Family Literacy, 2nd ed. New York: Routledge, 2012, 195–209.
• Hembree, R. “The Nature, Effects, and Relief of Mathematics Anxiety.” Journal for Research in Mathematics Education 21 (1990): 33–46.
• Hopko, D. R., et al. “Mathematics Anxiety and Working Memory: Support for the Existence of a Deficient Inhibition Mechanism.” Journal of Anxiety Disorders 12 (1998): 343–55.
• Hopko, D. R., et al. “The Emotional Stroop Paradigm: Performance as a Function of Stimulus Properties and Self-Reported Mathematics Anxiety.” Cognitive Therapy and Research 26 (2002): 157–66.
• Huffman, Carl. “Pythagoras.” In the Stanford Encyclopedia of Philosophy (Winter 2018). Edited by Edward N. Zalta. https://plato.stanford.edu/archives/win2018/entries/pythagoras/>.
• Hunsley, J. “Cognitive Processes in Mathematics Anxiety and Test Anxiety: The Role of Appraisals, Internal Dialogue, and Attributions.” Journal of Educational Psychology 79 (1987): 388–92.
• Hunt, T. E., D. Clark-Carter, and D. Sheffield. “The Development and Part-Validation of a U.K. Scale for Mathematics Anxiety.” Journal of Psychoeducational Assessment 29 (2011): 455–66.
• ________. “Math Anxiety, Intrusive Thoughts and Performance: Exploring the Relationship Between Mathematics Anxiety and Performance: The Role of Intrusive Thoughts.” Journal of Education, Psychology and Social Sciences 2, no. 2 (2014): 69–75.
• Jameson, Molly M., and Brooke R. Fusco. “Math Anxiety, Math Self-Concept, and Math Self-Efficacy in Adult Learners Compared to Traditional Undergraduate Students.” Adult Education Quarterly 64, no. 4 (2014): 306–22.
• Jones, W. J., T. L. Childers, and Y. Jiang. “The Shopping Brain: Math Anxiety Modulates Brain Responses to Buying Decisions.” Biological Psychology 89 (2012): 201–13.
• Kasworm, C. E. “Emotional Challenges of Adult Learners in Higher Education.” New Directions for Adult and Continuing Education 120 (2008): 27–34.
• Kellogg, J. S., D. R. Hopko, and M. H. Ashcraft. “The Effects of Time Pressure on Arithmetic Performance.” Journal of Anxiety Disorders 13 (1999): 591–600.
• Linsky, B., and E. Zalta. “Naturalized Platonism Versus Platonized Naturalism.” Journal of Philosophy 92 (1995): 525–55.
• Lyons, I. M., and S. L. Beilock. “Mathematics Anxiety: Separating the Math from the Anxiety.” Cerebral Cortex 22, no. 9 (2012): 2102–10.
• ________. “When Math Hurts: Math Anxiety Predicts Pain Network Activation in Anticipation of Doing Math.” PLoS ONE 7(10): e48076.doi:10.1371/journal.pone.0048076.
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• Mazur, Barry. “Mathematical Platonism and Its Opposites.” European Mathematical Society Newsletter 68 (2008): 19–21.
• McMullan, M., R. Jones, and S. Lea. “Math Anxiety, Self-Efficacy, and Ability in British Undergraduate Nursing Students.” Research in Nursing & Health 35 (2012): 178–86.
• Miller, H., and J. Bischel. “Anxiety, Working Memory, Gender, and Math Performance.” Personality and Individual Differences 37 (2004): 591–606.
• Mozolic, Jennifer L., Satoru Hayasaka, and Paul J. Laurienti. “A Cognitive Training Intervention Increases Resting Cerebral Blood Flow in Healthy Older Adults.” Frontiers in Human Neuroscience 4, no. 16 (2010).
• Munoz, E., et al. “Intrusive Thoughts Mediate the Association Between Neuroticism and Cognitive Function.” Personality and Individual Differences 55 (2013): 898–903.
• Nixon, R., et al. “Metacognition, Working Memory, and Thought Suppression in Acute Stress Disorder.” Australian Journal of Psychology 60 (2008): 168–74.
• Patrick, H. “The Classroom Environment and Students’ Reports of Avoidance Strategies in Mathematics: A Multimethod Study.” Journal of Educational Psychology 94 (2002): 88–106.
• Poldrack, R. A. “Can Cognitive Processes Be Inferred from Neuroimaging Data?,” Trends in Cognitive Sciences 10 (2006): 59–63.
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• Rosenberg-Lee, M., M. Barth, and V. Menon. “What Difference Does a Year of Schooling Make? Maturation of Brain Response and Connectivity Between 2nd and 3rd Grades During Arithmetic Problem Solving.” Neuroimage 57 (2011): 796–808.
• Rowett, Catherine. “Philosophy’s Numerical Turn: Why the Pythagoreans’ Interest in Numbers Is Truly Awesome.” In Doctrine and Doxography: Studies on Heraclitus and Pythagoras. Edited by Dirk Obbink and David Sider. Berlin and Boston: Walter de Gruyter, 2013, 3–32.
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