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de Villiers, Michael – International Journal of Mathematical Education in Science and Technology, 2004
This paper gives a broad descriptive account of some activities that the author has designed using Sketchpad to develop teachers' understanding of other functions of proof than just the traditional function of 'verification'. These other functions of proof illustrated here are those of explanation, discovery and systematization (in the context of…
Descriptors: Teaching Methods, Mathematics Teachers, Learning Theories, Geometry

Kimberling, Clark – Mathematics Teacher, 1984
Presents an Applesoft computer program to help students translate abstract sentences into concrete visible lines and thereby discover and confirm facts about slopes, intercepts, angles, and intersections. The program graphs and analyzes lines, given as equations of the form Y equals M times X plus B. (JN)
Descriptors: Computer Software, Equations (Mathematics), Geometry, High Schools
Banilower, Eric R.; Smith, P. Sean; Weiss, Iris R.; Malzahn, Kristen A.; Campbell, Kiira M.; Weis, Aaron M. – Horizon Research, Inc., 2013
The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. A total of 7,752 science and mathematics teachers in schools across the United…
Descriptors: National Surveys, Science Education, Mathematics Education, Teacher Background