User:Jacobolus/Angle

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:

• Chasles, Michel (1880) [1st ed. 1852]. Traité de géométrie supérieure (2nd ed.). Paris: Gauthier-Villars.
• Court, Nathan Altshiller (1952) [1st ed. 1925]. College Geometry (2nd ed.). Barnes & Noble.
• Chick, J.M. (2017). "101.39 Another angle on angle?". Mathematical Gazette. 101 (552): 502–508. JSTOR 26538939.
• Blaga, Cristina; Blaga, Paul A. (2018). "Directed Angles" (PDF). Didactica Mathematica. 36: 25–40.

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.