
06639312
j
2016f.01048
Kontorovich, Igor'
Zazkis, Rina
Turn vs. shape: teachers cope with incompatible perspectives on angle.
Educ. Stud. Math. 93, No. 2, 223243 (2016).
2016
Springer Netherlands, Dordrecht
EN
G49
C39
angles
polygons
scriptwriting
intellectual needs
teacher knowledge
intuitive rules
doi:10.1007/s1064901696992
Summary: This study is concerned with tensions between the two different perspectives on the concept of angle: angle as a static shape and angle as a dynamic turn. The goal of the study is to explore how teachers cope with these tensions. We analyze scripts of 16 inservice secondary mathematics teachers, which feature a dialogue between a teacher and students around the following statement: ``The sum of the exterior angles of a polygon is $360^{\circ}$.'' The findings show that while addressing a variety of intellectual needs of their student characters, in many cases, the teachers compromise the mathematical rigour of the concept of angle.