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User:Jacobolus/Angle

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Concepts of angle:

  • Kontorovich, Igor'; Zazkis, Rina (2016). "Turn vs. shape: teachers cope with incompatible perspectives on angle". Educational Studies in Mathematics. 93 (2): 223–243. JSTOR 24830689.
  • Freudenthal, Hans (1983). Didactical Phenomenology of Mathematical Structures. Dordrecht, Holland: D. Reidel.

Directed angle:

Sum of angles in a triangle:

  • Burke, Maurice (1992). "Circles Revisited". Mathematics Teacher. 85 (7): 573–577. JSTOR 27967774.

Angle measure:

  • Jones, Phillip S. (1953). "Angular Measure – Enough of Its History to Improve Its Teaching". Historically Speaking. Mathematics Teacher. 46 (6): 419–426. JSTOR 27954356.

Phase:

  • Lawson, Jeffrey; Rave, Matthew (2016). "Spacewalks and Amusement Rides: Illustrations of Geometric Phase". Mathematics Magazine. 89 (2): 105–121. doi:10.4169/math.mag.89.2.105.


Generalizations and advanced concepts:

  • Gottlieb, Daniel Henry (1996). "All the Way with Gauss-Bonnet and the Sociology of Mathematics". American Mathematical Monthly. 103 (6): 457–469. JSTOR 2974712.