Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

Learning and Teaching Indirect Proof Denisse R. Thompson Discussion of research and teaching implications. (889, 1996) 474 - 482 Geometry and Proof Michael T. Battista and Douglas H. Clements Connecting Research to Teaching. Discussion of research and instructional possibilities. Includes comments on computer programs and classroom recommendations. (88, 1995) 48 - 54 Conjectures in Geometry and The Geometer's Sketchpad Claudia Giamati Exploration as a foundation on which to base proof. (88, 1995) 456 - 458 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 When Is a Quadrilateral a Parallelogram? Charalampos Toumasis Investigations of sets of sufficient conditions. (87, 1994) 208 - 211 Helping Students write Paragraph Proofs in Geometry Joseph L. Brandell Utilizing flowcharts. (87, 1994) 498 - 502 Communicating Mathematics Mary M. Hatfield and Gary G. Bitter Generating patterns and making conjectures. (84, 1991) 615 - 621 The Big Picture Maurice J. Burke Looking at a picture from a large distance, noticing an analogy, and drawing an informal conclusion. (83, 1990) 258 - 262 Coordinate Geometry: A Powerful Tool for Solving Problems Stanley F. Tabak Contrasting synthetic and analytic proofs for three theorems. (83, 1990) 264 - 268 The Geometry Proof Tutor: An "Intelligent" Computer-based Tutor in the Classroom Richard Wertheimer A description of classroom experiences with the GPTutor. (83, 1990) 308 - 317 Inductive and Deductive Reasoning Phares G. O'Daffer Activities to encourage students to use both inductive and deductive reasoning to make conjectures about geometric figures. (83, 1990) 378 - 384 Indirect Proof: The Tomato Story Philinda Stern Denson Sharing Teaching Ideas. A story for illustrating indirect proofs. (82, 1989) 260 Jigsaw Proofs Suzanne Goldstein Sharing Teaching Ideas. A proof teaching technique. (82, 1989) 186 - 188 Which Method Is Best? Edward J. Barbeau Synthetic, transformational, analytic, vector, and complex number proofs that an angle inscribed in a semicircle is a right angle. (81, 1988) 87 - 90 The Proof is in the Puzzle Carl Sparano Puzzles for developing proof-making strategies. (81, 1988) 456 - 457 The Indirect Method Joseph V. Roberti Examples of indirect proofs and suggested further problems for investigation. 80, (1987) 41 - 43. 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. Stuck! Don't Give Up! Subgoal-Generation Strategies in Problem Solving Robert J. Jensen Managing the problem solution process. Subgoals and strategies. 80, (1987) 614 - 621, 634. Turtle Graphics and Mathematical Induction Frederick S. Klotz Revising the FD command in Logo. Links to inductive proofs. 80, (1987) 636 - 639, 654. The Looking-back Step in Problem Solving Larry Sowder Looking-back after the completion of the solution to a problem to search for other problems. The technique is applied to one geometry problem. 79, (1986) 511 - 513. Chomp--an Introduction to Definitions, Conjectures, and Theorems Robert J. Keeley A game designed to introduce students to the concepts of conjecture, theorem, and proof. 79, (1986) 516 - 519. Spadework Prior to Deduction in Geometry J. Michael Shaughnessy and William F. Burger A discussion of van Hiele levels and their applications to methods of preparing students for deductive geometry. 78, (1985) 419 - 428. Motivating Students To Make Conjectures and Proofs In Secondary School Geometry Lynn H. Brown Guided discovery with worksheets. 75, (1982) 447 - 451. Mysteries Of Proof George Marino Suggested method for introducing proof development. 75, (1982) 559 - 563. Help For The Slower Geometry Student Diane Bohannon Analysis of proofs (worksheet). 73, (1980) 594 - 596. A Theorem Named Fred Lloyd A. Jerrold Turning an often used procedure into a theorem. 73, (1980) 596 - 597. More On Flow Proofs In Geometry Dale Basinger Another format. 72, (1979) 434 - 436. To Prove Or Not To Prove - That Is The Question Thomas E. Inman Suggested procedure for teaching the art of geometric proof. 72, (1979) 668 - 669. Three Column Proofs Michael Shields Suggestions for proof writing formats. 71, (1978) 515 - 516. Flow Proofs In Geometry Robert McMurray Proof writing format. 71, (1978) 592 - 595. On The Proof-Making Task Robert B. Kane Teaching students to develop proofs. 68, (1975) 89 - 94. Let's Use Trigonometry John J. Rodgers The use of trigonometry in proving some theorems of geometry. 68, (1975) 157 - 160. Auxiliary Lines - A Testing Problem Bruce J. Alpart Using helping lines in proofs. 66, (1973) 159 - 160. A Form Of Proof Arthur E. Hallerberg Flow diagrams, examples provided. 64, (1971) 203 - 214. A Geometrical Introduction To Mathematical Induction Margaret Wiscamb Some geometrical problems (lines determined by points, etc.) which illustrate inductive techniques. 63, (1970) 402 - 404. Strategies Of Proof In Secondary Mathematics Henry van Engen Some geometry involved. 63, (1970) 637 - 645. Motivating Induction Harry Sitomer Some geometry involved. 63, (1970) 661 - 664. Sight Versus Insight Harry Sitomer The use of figures in geometric proofs. 60, (1967) 474 - 478. Structuring A Proof Donn L. Klinger Techniques applied to three geometric theorems. 57, (1964) 200 - 203. Another Format For Proofs In High School Geometry Arthur E. Tenney Suggested outline. 56, (1963) 606 - 607. Structure Diagrams For Geometry Proofs Carolyn C. Thorsen Flow diagrams. 56, (1963) 608 - 609. A Method Of Proof For High School Geometry Harold M. Ness, Jr. Suggested forms for organization. 55, (1962) 567 - 569. Geometric Proof In The Eighth Grade Myron F. Rosskopf Possible approaches. 54, (1961) 402 - 405. Symbolized Theorems Maeriam C. Clough. Stating hypotheses and conclusions in symbolic form. 52, (1959) 107 - 108. Proofs With A New Format Emil Berger Classify each statement as given, assumption, or deduction. 52, (1959) 371. Chains Of Reasoning In Geometry John D. Wiseman, Jr. Chain models of proofs. 52, (1959) 457 - 458. Proofs With A New Format W. W. Sawyer Proof organization. 52, (1959) 480 - 481. An Aid To Writing Deductive Proofs In Plane Geometry John F. Schacht Suggested format. 51, (1958) 303 - 305. Modern Emphases In The Teaching of Geometry Myron F. Rosskopf Strategies of proof and axiomatic structure. 50, (1957) 272 - 279. The ABC's Of Geometry John D. Wiseman, Jr. An aspect of proof. 50, (1957) 327 - 359. Interpretation Of The Hypotheses In Terms Of The Figure Helen L. Garstens Use of figures in proofs, examples. 49, (1956) 562 - 564. What Does "If" Mean Kenneth O. May Discussion of proof methods. 48, (1955) 10 - 12. A Note On The Statements Of Theorems and Assumptions Charles H. Butler A discussion of discrepancies between statements and figures. 48, (1955) 106 - 107. Helping Students Use Proofs Of Theorems In Geometry Francis G. Lankford, Jr. The use of model proofs. 48, (1955) 428 - 430. A Logical Symbolism For Proof in Elementary Geometry Wallace Manheimer Symbols for givens in proofs. 46, (1953) 246 - 252. Signed Areas Applied To "Recreations of Geometry" H.C. Trimble Analytic approach to some triangle geometry. The dangers of arguing from a figure. 40, (1947) 3 - 7. The Logic Of Indirect Proofs In Geometry Nathan Lazar Analysis, criticism, and recommendations. 40, (1947) 225 - 240. Random Notes On Geometry Teaching, Note 4 - Superposition Harry C. Barber Arguments for the use of superposition. 31, (1938) 31. The Concept Of Dependence In The teaching Of Plane Geometry F. L. Wren An analysis of the interdependence of elements of a figure in order to discover its complete geometric significance. 31, (1938) 70 - 74. "If - Then" In Plane Geometry Harry Sitomer Proof methods. Use of "if - then" form for statements. 31, (1938) 326 - 329. A Fallacy In Geometric Reasoning H. C. Christofferson A discussion of circular reasoning in the proof of the isosceles triangle theorem. 23, (1930) 19 - 22. When Is A Proof Not A Proof P. Stroup Comments on proof in geometry. 19, (1926) 499 - 505. Teaching Classes In Plane Geometry To Solve Original Exercises Fletcher Daniel Steps in problem solving. Comments on classroom use. 1, (1908 - 1909) 123 - 135. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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