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Analysis of the Cognitive Unity or Rupture between Conjecture and Proof When Learning to Prove on a Grade 10 Trigonometry Course
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Fiallo, Jorge; Gutiérrez, Angel – Educational Studies in Mathematics, 2017
We present results from a classroom-based intervention designed to help a class of grade 10 students (14-15 years old) learn proof while studying trigonometry in a dynamic geometry software environment. We analysed some students' solutions to conjecture-and-proof problems that let them gain experience in stating conjectures and developing proofs.…
Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Grade 10
Putting the Unit in Pre-Service Secondary Teachers' Unit Circle
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Moore, Kevin C.; LaForest, Kevin R.; Kim, Hee Jung – Educational Studies in Mathematics, 2016
We discuss a teaching experiment that explored two pre-service secondary teachers' meanings for the unit circle. Our analyses suggest that the participants' initial unit circle meanings predominantly consisted of calculational strategies for relating a given circle to what they called "the unit circle." These strategies did not entail…
Descriptors: Preservice Teachers, Secondary School Teachers, Secondary School Mathematics, Mathematics Instruction
The Use of Kinematic Models in the Study of Trigonometric Functions
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Grabovskij, M. A.; Kotel'nikov, P. M. – Educational Studies in Mathematics, 1971
Descriptors: College Mathematics, Instruction, Kinetics, Manipulative Materials
Application of Heuristic Methods to the Study of Mathematics at School
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Balk, G. D. – Educational Studies in Mathematics, 1971
Descriptors: Algebra, Discovery Learning, Geometry, Induction
Experiments on Improving the Teaching Process
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Jakuba, E. G. – Educational Studies in Mathematics, 1971
Teacher tips are presented concerning geometry laboratory work, mathematics history, development of problem situations, and use of transparencies in graphical exercises in secondary school mathematics classes. (JG)
Descriptors: Geometry, History, Independent Study, Instruction