Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

A Visual Approach to Deductive Reasoning Frances Van Dyke Activities. Using Venn diagrams rather than truth tables to examine the validity of arguments. (88, 1995) 481 - 486, 492 - 494 Geometry Proof Writing: A Problem-Solving Approach à la Pólya Jean M. McGivney and Thomas C. DeFranco Proof writing is problem solving. (88, 1995) 552 - 555 What Is a Quadrilateral? Lionel Pereira-Mendoza An activity designed to develop an understanding of the role of definitions in mathematics. (86, 1993) 774 - 776 Teaching Logic with Logic Boxes Walter J. Sanders and Richard L. Antes Using boxes to represent concepts of logic. (81, 1988) 643 - 647 Intuition and Logic Patrick J. O'Regan Capitalizing on students' ways of thinking to lead them to a greater understanding of logical relationships. (81, 1988) 664 - 668 Two Views of Oz John Pancari and John P. Pace Using the Scarecrow's Pythagorean-like utterance to define the fundamental isosceles triangle of Oz. 80, (1987) 100 - 101. Teaching Modeling and Axiomatization with Boolean Algebra Michael D. DeVilliers Proofs of Boolean Algebra statements, analysis of the proofs, and the development of a suitable axiomatic basis. 80, (1987) 528 - 532. Did the Scarecrow Really Get A Brain? Lowell Leake An analysis of the Scarecrow's Pythagoras-like statement in The Wizard of Oz. 79, (1986) 438 - 439. Deductive and Analytical Thinking Robert L. McGinty and John G. Van Buynen Activities for enhancing deductive reasoning abilities. 78, (1985) 188 - 194. The Relativity of Mathematics Israel Kleiner and Schmuel Avital Logic. Truth and validity. 77, (1984) 554 - 558. Star Trek Logic John Lamb, Jr. An analysis of events in "Amok Time". (Spock's wedding.) 72, (1979) 342 - 343. Why "False -> False" Is True - A Discovery Explanation Jack Bookman Activities in logic. 71, (1978) 675 - 676. The Converses Of A Familiar Isosceles Triangle Theorem, F. Nicholson Moore and Donald R. Byrkit Converses, the difference between necessary and sufficient conditions, use of counterexamples. 67, (1974) 167 - 170. Variation - A Process Of Discovery In Geometry Clarence H. Heinke Changing the elements of a theorem to produce a new theorem. 50, (1957) 146 - 150. Quod Erat Demonstrandum Harold P. Fawcett A discussion of proof and logic. 49, (1956) 2 - 6. What Do We Mean? Robert E. K. Rourke and Myron F. Rosskopf An examination of the meanings of some mathematical terms. 49, (1956) 597 - 604. Some Concepts Of Logic and Their Application In Elementary Mathematics Myron F. Rosskopf and Robert M. Evans Discusses some aspects of geometric logic and proof. 48, (1955) 290 - 298. The Logic Of The Indirect Proof In Geometry Nathan Lazar Analysis, criticism, and recommendations. 40, (1947) 225 - 240. Teaching A Unit In Logical Reasoning In The Tenth Grade Daniel B. Lloyd Objectives, contents, and bibliography. 36, (1943) 226 - 229. The Importance Of Certain Concepts and Laws Of Logic For The Study and Teaching Of Geometry Nathan Lazar Detailed examinations of the materials with examples. 31, (1938). Chapter I, The Converse. 99 - 113. Chapter II, The Inverse. 156 - 162. Chapter III, The Contrapositive. 162 - 174. Chapter IV, An Extension of the Concept and the Law of Contraposition. 216 - 225. Chapter V, The Law of Converses. 226 - 240. Geometry, A Way Of Thinking H. C. Christofferson Logic and deductive thinking. 31, (1938) 147 - 155. Applying Geometric Methods Of Thinking To Life Situations Elizabeth Loetzer Hall The application of classroom methods of thinking to real life situations. 31, (1938) 379 - 384. Geometry and Life Kenneth B. Leisenring Geometry and deductive thinking. The value of learning geometry. 30, (1937) 331 - 335. Elementary Logic As A Basis For Plane Geometry Eugene R. Smith Report on a teaching experiment. 1, (1908-1909) 6 - 14. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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