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It is proof which sets mathematics apart from the empirical sciences, and forms the foundation of our mathematical knowledge, yet students often fail to understand the purpose of proof, they are unable to construct proofs, and instead readily accept empirical evidence or the authority of textbooks or teachers. This research focuses on the role of mechanical linkages (devices based on systems of hinged rods) and interactive geometric software as cognitive bridges between empirical justification and deductive reasoning. The provision of motivating contexts was found to foster conjecturing and...

4th vol. in series. Surnames in this volume: Alexander, Arnold, Bankston, Blackstock, Bloynick, Breshears, Brookes, Bunting, Burr, Carpenter, Cavanaugh, Claxton, Creed, Cremeans, Creson, Dennison, Ebert, Finkenbinder, Garraux, Glentworth, Goldy, Gorman, Grimm, Hale, Hamilton, Hedgpeth, Hendershott, Henderson, Hensley, Hill, Huston, Irvin, Johnson, Jones, Kern, Kerr, Lansdale, Lichtenberger, Lohnes, McBride, McCambridge, McCarty, McClay, McGill, McIntyre, McLaughlin, McPherson, Mann, Mason, Meehling, Mellen, Miller, Mirigian, Montgomery, Moore, Moss, Mozley, Musgrave, Nau, Neidhardt, Nelen,...