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Oersted Medal Lecture 2002: Reforming the mathematical language of physics
1.D. Hestenes, “Who needs physics education research!?” Am. J. Phys. 66, 465–467 (1998).
2.The modeling instruction program is described at 〈http//modeling.asu.edu〉
3.J. Piaget, To Understand is to Invent (Grossman, New York, 1973), pp. 15–20.
4.D. Hestenes, “Modeling games in the Newtonian world,” Am. J. Phys. 60, 732–748 (1992).
5.M. Wells, D. Hestenes, and G. Swackhamer, “A modeling method for high school physics instruction,” Am. J. Phys. 63, 606–619 (1995).
6.K. Ericsson and J. Smith (eds.), Toward a General Theory of Expertise: Prospects and Limits (Cambridge U. P., Cambridge, 1991).
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9.H. Doerr, “Integrating the study of trigonometry, vectors and force through modeling,” School Science and Mathematics 96, 407–418 (1996).
10.D. Hestenes, “Toward a modeling theory of physics instruction,” Am. J. Phys. 55, 440–454 (1987).
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12.D. Hestenes, “Modeling software for learning and doing physics,” in Thinking Physics for Teaching, edited by C. Bernardini, C. Tarsitani, and M. Vincentini (Plenum, New York, 1996), pp. 25–66.
13.A. Einstein, Ideas and Opinions (Three Rivers, New York, 1985), p. 274.
14.H. Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley, Reading, MA, 1980).
15.D. Hestenes, “Grassmann’s vision,” in Hermann Gunther Grassmann (1809–1877)—Visionary Scientist and Neohumanist Scholar, edited by G. Schubring (Kluwer Academic, Dordrecht, 1996), pp. 191–201.
16.E. Redish and G. Shama, “Student difficulties with vectors in kinematics problems,” AAPT Announcer 27, 98 (July 1997).
17.D. Hestenes, “Mathematical viruses,” in Clifford Algebras and Their Applications in Mathematical Physics, edited by A. Micali, R. Boudet, and J. Helmstetter (Kluwer Academic, Dordrecht, 1991), pp. 3–16.
18.D. Hestenes, New Foundations for Classical Mechanics (Kluwer, Dordrecht, 1986, 2nd ed., 1999).
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20.D. Hestenes, “Multivector Functions,” J. Math. Anal. Appl. 24, 467–473 (1968).
21.D. Hestenes and G. Sobczyk, Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Kluwer Academic, Dordrecht, 1986).
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23.D. Hestenes, Space-Time Algebra (Gordon and Breach, New York, 1966).
24.D. Hestenes, “Real spinor fields,” J. Math. Phys. 8, 798–808 (1967).
25.D. Hestenes and R. Gurtler, “Local observables in quantum theory,” Am. J. Phys. 39, 1028–1038 (1971).
26.D. Hestenes, “Spin and uncertainty in the interpretation of quantum mechanics,” Am. J. Phys. 47, 399–415 (1979).
27.C. Doran, A. Lasenby, S. Gull, S. Somaroo, and A. Challinor, “Spacetime algebra and electron physics,” Adv. Imaging Electron. Phys. 95, 271–365 (1996).
28.D. Hestenes, “Differential forms in geometric calculus,” in Clifford Algebras and their Applications in Mathematical Physics, edited by F. Brackx, R. Delangke, and H. Serras (Kluwer Academic, Dordrecht, 1993), pp. 269–285.
29.D. Hestenes, “Clifford algebra and the interpretation of quantum mechanics,” in Clifford Algebras and their Applications in Mathematical Physics, edited by J. S. R. Chisholm and A. K. Commo (Reidel, Dordrecht, 1986), pp. 321–346.
30.F. Dyson, From Eros to Gaia (Pantheon Books, New York, 1992), Chap. 14.
31.D. Hestenes, “ A unified language for mathematics and physics,” in Clifford Algebras and their Applications in Mathematical Physics, edited by J. S. R. Chisholm and A. K. Common (Reidel, Dordrecht, 1986), pp. 1–23.
32.“The first conference proceedings on Clifford/Geometric Algebras,” in Clifford Algebras and their Applications in Mathematical Physics, edited by J. Chisholm and A. Common (Reidel, Dordrecht, 1986).
33.D. Bohm, Quantum Theory (Prentice-Hall, Englewood Cliffs, NJ, 1951).
34.T. Havel, D. Cory, S. Somaroo, and C.-H. Tseng, “Geometric algebra methods in quantum information processing by NMR spectroscopy,” in Geometric Algebra with Applications in Science and Engineering, edited by E. Bayro Corrochano and G. Sobczyk (Birkhäuser, Boston, 2001), pp. 281–308.
35.R. Ablamowicz and B. Fauser (eds.), Clifford Algebras and their Applications in Mathematical Physics (Birkhäuser, Boston, 2000), Vols. 1 and 2.
36.E. Bayro Corrochano and G. Sobczyk (eds.), Geometric Algebra with Applications in Science and Engineering (Bikhäuser, Boston, 2001).
37.L. Doerst, C. Doran, and J. Lasenby (eds.), Applications of Geometrical Algebra in Computer Science and Engineering (Birkhäuser, Boston, 2002).
38.T. Vold, “An introduction to geometric algebra with an application to rigid body mechanics,” Am. J. Phys. 61, 491 (1993);
38.T. Vold, “An introduction to geometric calculus and its application to electrodynamics,” Am. J. Phys. 61, 505 (1993).
39.W. Baylis, Electrodynamics: A Modern Geometric Approach (Birkhäuser, Boston, 1999).
40.A. Lasenby and C. Doran, Geometric Algebra for Physicists (Cambridge U. P., Cambridge, 2003).
41.D. Hestenes, “The design of linear algebra and geometry,” Acta Applic. Math. 23, 65–93 (1991).
42.C. Doran, D. Hestenes, F. Sommen, and N. Van Acker, “Lie groups as spin groups,” J. Math. Phys. 34, 3642–3669 (1993).
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