Subject Index
Conjecture
nature of, 57–58
testing for ability and predeliction for making, 67–68
Education innovation
assessment of, 205–206
consequences of, 204–205
stages of concern about, 198, 227–228, 238–240
Generalization
and induction, 58–60
catagories for, 68–69
development of the skill, 68–81
hypothesis formation, 76–81
obstacles to forming, 60–61
roles of the Supposer in making, 61–64
sequences of samples, 72–75
“what-if-not” strategy, 69–71
Geometric construction
auxiliary lines, 45–53
Guided inquiry
curriculum dilemmas, 210
demands of, 235–236
dilemmas, 236–237
dilemmas in the classroom, 209–212
pedagogical dilemmas, 210–211
shifts in teacher thinking, 238
students and, 229–233
teachers and, 233–234
Mathematics ...
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