...This chapter is of necessity quite short, since the mathematics used by and, in some cases, invented by Dirac far exceeds the level we promised. Paul Dirac ¹ made contributions to theoretical physics that spanned quantum mechanics, relativity, gravity, and magnetism. He invented...

...Acknowledgments We would like to thank Joe Redish, Tim Atherton, Paul Irving, Devin Silvia, Brian O'Shea, Andy Buffler, and Ruth Chabay for their helpful commentary and feedback on this work. ...

...-9081-y Mill , J. S. , A System of Logic Ratiocinative and Inductive , Collected Works ( University of Toronto Press , 1981 ), Vol. VII . Motterlini , M. , For and Against Method: Imre Lakatos and Paul Feyerabend ( Chicago University Press , Chicago , 1999 ). Moulines...

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... of Educational Assessment ( National Academies Press , 2001 ). NGSS Lead States , Next Generation Science Standards: For States, by States ( The National Academy Press , Washington, DC , 2013 ). Nordine , J. C. , Phys. Teach.   49 ( 6 ), 380 – 382 ( 2011 ). 10.1119/1.3628271 Paul...

.... , Effective Practices in Preservice Teacher Education , edited by E.   Brewe and C.   Sandifer ( American Physical Society and American Association of Physics Teachers , 2015 ), pp. 107 – 116 . Paul , C. , Ph.D. thesis ( UC Davis , 2012 ). Pentecost , T.   et al. , J. Coll...

.../j.sna.2017.08.002 Mallick , D. , Paul , K. , Maity , T. , Roy , S. , Mallick , D. , Paul , K.   et al. , “ Magnetic performances and switching behavior of Co-rich CoPtP micro-magnets for applications in magnetic MEMS ,” J. Appl. Phys.   125 ( 2 ), 023902 ( 2019...

... Fisica e Chimica—Emilio Segrè, Università degli Studi di Palermo, 90128 Palermo, Italy Andrée Tiberghien UMR ICAR, University of Lyon, 69110 Sainte Foy les Lyon, France Paul van Kampen Centre for the Advancement of STEM Teaching and Learning & School of Physical Sciences, Dublin City University...

.... , Effective Practices in Preservice Teacher Education , edited by E.   Brewe and C.   Sandifer ( American Physical Society and American Association of Physics Teachers , 2015 ), pp. 107 – 116 . Paul , C. , Ph.D. thesis ( UC Davis , 2012 ). Pentecost , T.   et al. , J. Coll...

.... and Inhelder , B. , The Child's Construction of Quantities ( Routledge and Kegan Paul , London , 1942/1974 ). Piaget , J. and Inhelder , B. , De la Logique de L'enfant à la Logique de L'adolescent ( PUF , Paris , 1955 ). Pieritz , R. A.   et al. , Comput. Appl. Eng. Educ...

... and spin-orbital interaction in Sr₂IrO₄ ,” Proc. Nat. Acad. Sci.   117 , 24764 – 24770 ( 2020 ). 10.1073/pnas.2012043117 Paul , A. , Sun , J. , Perdew , J. P. , and Waghmare , U. V. , “ Accuracy of first-principles interatomic interactions and predictions...

... . Park , W. and Song , J. , Sci. Educ.   27 ( 1 ), 39 – 61 ( 2018 ). 10.1007/s11191-018-9965-z Park , W.   et al. , Sci. Educ.   28 ( 9 ), 1055 – 1083 ( 2019 ). 10.1007/s11191-019-00075-9 Paul , C. A. and Webb , D. J. , Phys. Rev. Phys. Educ. Res.   18 , 020103...

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... of a bistable CMOS-MEMS microbeam resonator with electrostatic actuation ,” in Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS) ( IEEE , 2018 ), pp. 681 – 684 . Barcelo , J. , De Paul , I. , Bota , S. , Segura , J. , and Verd , J...

... offered for understanding human work with the earth. Paul Crutzen is now better known for offering a name for a potential new geological epoch than for his Nobel Prize-winning work on the formation and decomposition of atmospheric ozone. Geologists distinguish the current epoch, the Holocene...

...-9081-y Mill , J. S. , A System of Logic Ratiocinative and Inductive , Collected Works ( University of Toronto Press , 1981 ), Vol. VII . Motterlini , M. , For and Against Method: Imre Lakatos and Paul Feyerabend ( Chicago University Press , Chicago , 1999 ). Moulines...

... ( Basic Books , 1980 ). Passante , G. and Kohnle , A. , Phys. Rev. Phys. Educ. Res.   15 ( 1 ), 010110 ( 2019 ). 10.1103/PhysRevPhysEducRes.15.010110 Paul , A.   et al. , AIP Conf. Proc.   1513 , 302 – 305 ( 2013 ). 10.1063/1.4789712 Perkins , K. K. and Moore...