Table Of Content

THE MATHEMATICS TEACHER - Classified Index ¢ Vol. 90 1997 Cuoco, Al, Faye Ruopp, Sue M. Rasala, and Goldenheim, David A., Daniel C. Litchfield, AUTHOR INDEX M. Grace Kelemanik. Algebraic Thinking: A and Charles H. Dietrich. Euclid, Fibonacci, Theme for Professional Development. Feb., Sketchpad. Jan., 8-12 (see also Sept., Adams, Colin, Eric Furstenberg, Jie Li, and 150-54. 480-81, 484 and Oct., 566, 568). Jodi Schneider. Exploring Knots. Nov., Curtis, Anita, William Bosch, Jennifer Sizoo, Goolsby, Ronnie C., and Thomas W. Polaski. 640-46, 652. Shannon Kiein, Cheryl Micale, and E-Sin Lin. Extraneous Solutions and Graphing Calcula- Appelbaum, Elizabeth Berman. Telephones Fishy Formulas. Nov., 666-71. tors. Dec., 718-20. and Algebra. Feb., 96, 98-100. Greenes, Carole. Honing the Abilities of the Dance, Rosalie A., and James T. Sandefur. Ball, Deborah Loewenberg. From the General Approaching the Speed of Light with Class. Mathematically Promising. Oct., 582-86. to the Particular: Knowing Our Own Students Apr., 314-21. Gregg, Jeff. The Perils of Conditional State- as Learners of Mathematics. Dec., 732-37. ments and the Notion of Logical Equivalence. Davidenko, Susana. Building the Concept of Oct., 544-48. Barb, Cynthia, and Anne Larson Quinn. Prob- Function from Students’ Everyday Activities. lem Solving Does Not Have to Be a Problem. Feb., 144-49. Hamilton, Ilene, and Raymond J. Klein. Using Oct., 536-42. Delisi, Vince, and Ron Lancaster. A Mathe- Technology to Introduce Radian Measure. Beckmann, Charlene E., Denisse R. Thompson, matics Trail at Exeter Academy. Mar., Feb., 168-72. and Sharon L. Senk. Improving Classroom 234-37. Harrell, Marvin E., Linda S. Fosnaugh, and Tests as a Means of Improving Assessment. Dessart, Donald J. The Correlation Coefficient Timothy Fosnaugh. When Knottiness Is Fit- Jan., 58-64. and Influential Data Points. Mar., 242-46 ting Behavior. Jan., 23-24. Bell, Garry. Showing That a - b = -—(b -a). (see also Oct., 515, 566). Healy, Christopher, and Carolyn Ridgway. May, 394-96. DeTemple, Duane, and Allen Miedema. Pat- Evaluation of Empowerment in a High Bezuszka, Stanley J., and Margaret J. Kenney. terns and Puzzles for Pyramids and Prisms. School Geometry Class. Dec., 738-41. Even Perfect Numbers: (Update)’. Nov., 628-33. May, 370-74, 380-84. Hershkowitz, Rina, and Alex Friedlander. Rea- Bonsangue, Martin Vern. A Geometrical Rep- Dick, Thomas, and Evelyn Kubiak. Issues and soning with Algebra. Sept., 442-47. resentation of Primitive Pythagorean Triples. Aids for Teaching Mathematics to the Blind. Hoehn, Larry. The Pythagorean Theorem: An May, 350-54 (see also Dec., 766). May, 344-49 (see also Oct., 515). Infinite Number of Proofs? Sept., 438-41. BoTnesrarnegnucee , J.M aRretdifner nV.. , OGneer alGdo oEd. PGraonbnloenm, and DiDomenico, Angelo S. From Fibonacci Num- Hurwitz, Marsha. Visualizing the Proof of the bers to Geometric Sequences and the Binet Mean-Value Theorem for Derivatives. Jan., Leads to Another and Another and .... Mar., Formula by Way of the Golden Ratio! May 16-18. 188-91 (see also Oct., 568). 386-89. Bosch, William, Jennifer Sizoo, Anita Curtis, Dietrich, Charles H., Daniel C. Litchfield, and Tovinelli, Robert (Bob). Activities for the Logis- Shannon Klein, Cheryl Micale, and E-Sin Lin. David A. Goldenheim. Euclid, Fibonacci, tic Growth Model: or, Invasion of the Killer Fishy Formulas. Nov., 666-71. Sketchpad. Jan., 8-12 (see also Sept., Moths. Oct., 588-97. Brown, Catherine A., and Margaret S. Smith. 480-81, 484 and Oct., 566, 568). Supporting the Development of Mathemati- Jabon, David, Gail D. Nord, and John Nord. Draper, Roni Jo. Active Learning in Mathe- cal Pedagogy. Feb., 138-43. The Mathematics of the Global Positioning matics: Desktop Teaching. Nov., 622—25. System. Sept., 455-62, 469-70. Brunner, Ann, and Sharon Sheehan. The Alge- bra Launching PAD. Dec., 696-701. Feicht, Louis. Parametric Equations, Maple, Janovsky, Andrew V. Integrating Mathemati- Brunncr, Regina Baron. Numbers, Please! The and Tubeplots. Nov., 612-13. cal Strands. Oct., 516-19. Telephone Directory and Probability. Dec., Ferguson, Donna K. What Day Is It? Sept., Jiang, Zhonghong, and Edwin McClintock. 704-5. 450-51. Spreadsheets: Powerful Tools for Probability Burrill, Gail. Choices and Challenges. Sept., Foshay, John D., and Wendy L. Wells. Table Simulations. Oct., 572-79. 506-11. Tennis, Anyone? Using Ping-Pong to Teach Johnson, John M. The Birthday Problem the Coordinate Plane. Dec., 712-14. Explained. Jan., 20-22. Camp, Dane R., David Reinstein, and Paul Fosnaugh, Linda S., Marvin E. Harrell, and Johnson, Luella H. A Look at Parabolas with a Sally. Generating Fractals through Self- Timothy Fosnaugh. When Knottiness Is Fit- Graphing Calculator. Apr., 278-82. Replication. Jan., 34-38, 43-45 (see also ting Behavior. Jan., 23-24. Sept., 484). Kelemanik, M. Grace, Faye Ruopp, Al Cuoco, Fosnaugh, Timothy, Linda S. Fosnaugh, and Carter, Claudia R. Packing Them In. Mar., and Sue M. Rasala. Algebraic Thinking: A Marvin E. Harrell. When Knottiness Is Fit- 211-14, 220-22. Theme for Professional Development. Feb., ting Behavior. Jan., 23-24. Choate, Jonathan, and Henri Picciotto. Iterat- 150-54. Frantz, Marny, and Sylvia Lazarnick. Data ing Linear Functions—an Introduction to Kennedy, Jane B. A Novel Way to Practice Analysis and the Hardrock 100. Apr., 274-76. Dynamical Systems. Feb., 122-26, 132-36. Slope. Apr., 284. Friedlander, Alex, and Rina Hershkowitz. Rea- Clarke, Lauren. Getting into the “Swing” of Kenney, Margaret J., and Stanley J. Bezuszka. soning with Algebra. Sept., 442-47. Functions. Feb., 102-9. Even Perfect Numbers: (Update)”. Nov., Furstenberg, Eric, Colin Adams, Jie Li, and Coes, Loring III. More Functions of a Toy Bal- 628-33. Jodi Schneider. Exploring Knots. Nov., loon. Apr., 290-94, 300-2. Kern, Cherlyn. Descriptive-Paragraph 640-46, 652. Craine, Timothy V., and Frances Van Dyke. Miniproject. May, 362-63. Equivalent Representations in the Learning Gannon, Gerald E., Martin V. Bonsangue, and Kim, Hy. Angled Sunshine, Seasons, and Solar of Algebra. Nov., 616-19. Terrence J. Redfern. One Good Problem Energy. Oct., 528-32. Crossfield, Don. (Naturally) Numbers Are Fun. Leads to Another and Another and .... Mar., King, Joann L., and Lydotta M. Taylor. A Pop- Feb., 92-95. 188-91 (see also Oct., 568). corn Project for All Students. Mar., 194-200 Crowley, Mary L. Aligning Assessment with Gilead, Shoshana, and Michal Yerushalmy. (see also Sept., 486). Classroom Practices: A Promising Testing Solving Equations in a Technological Envi- King, Sybrina L., Piecing Together Piecewise Format. Dec., 706-11. ronment. Feb., 156-62. Functions. Oct., 550-52. 758 THE MATHEMATICS TEACHER THE MATHEMATICS TEACHER - Classified Index ¢ Vol. 90 1997 Cuoco, Al, Faye Ruopp, Sue M. Rasala, and Goldenheim, David A., Daniel C. Litchfield, AUTHOR INDEX M. Grace Kelemanik. Algebraic Thinking: A and Charles H. Dietrich. Euclid, Fibonacci, Theme for Professional Development. Feb., Sketchpad. Jan., 8-12 (see also Sept., Adams, Colin, Eric Furstenberg, Jie Li, and 150-54. 480-81, 484 and Oct., 566, 568). Jodi Schneider. Exploring Knots. Nov., Curtis, Anita, William Bosch, Jennifer Sizoo, Goolsby, Ronnie C., and Thomas W. Polaski. 640-46, 652. Shannon Kiein, Cheryl Micale, and E-Sin Lin. Extraneous Solutions and Graphing Calcula- Appelbaum, Elizabeth Berman. Telephones Fishy Formulas. Nov., 666-71. tors. Dec., 718-20. and Algebra. Feb., 96, 98-100. Greenes, Carole. Honing the Abilities of the Dance, Rosalie A., and James T. Sandefur. Ball, Deborah Loewenberg. From the General Approaching the Speed of Light with Class. Mathematically Promising. Oct., 582-86. to the Particular: Knowing Our Own Students Apr., 314-21. Gregg, Jeff. The Perils of Conditional State- as Learners of Mathematics. Dec., 732-37. ments and the Notion of Logical Equivalence. Davidenko, Susana. Building the Concept of Oct., 544-48. Barb, Cynthia, and Anne Larson Quinn. Prob- Function from Students’ Everyday Activities. lem Solving Does Not Have to Be a Problem. Feb., 144-49. Hamilton, Ilene, and Raymond J. Klein. Using Oct., 536-42. Delisi, Vince, and Ron Lancaster. A Mathe- Technology to Introduce Radian Measure. Beckmann, Charlene E., Denisse R. Thompson, matics Trail at Exeter Academy. Mar., Feb., 168-72. and Sharon L. Senk. Improving Classroom 234-37. Harrell, Marvin E., Linda S. Fosnaugh, and Tests as a Means of Improving Assessment. Dessart, Donald J. The Correlation Coefficient Timothy Fosnaugh. When Knottiness Is Fit- Jan., 58-64. and Influential Data Points. Mar., 242-46 ting Behavior. Jan., 23-24. Bell, Garry. Showing That a - b = -—(b -a). (see also Oct., 515, 566). Healy, Christopher, and Carolyn Ridgway. May, 394-96. DeTemple, Duane, and Allen Miedema. Pat- Evaluation of Empowerment in a High Bezuszka, Stanley J., and Margaret J. Kenney. terns and Puzzles for Pyramids and Prisms. School Geometry Class. Dec., 738-41. Even Perfect Numbers: (Update)’. Nov., 628-33. May, 370-74, 380-84. Hershkowitz, Rina, and Alex Friedlander. Rea- Bonsangue, Martin Vern. A Geometrical Rep- Dick, Thomas, and Evelyn Kubiak. Issues and soning with Algebra. Sept., 442-47. resentation of Primitive Pythagorean Triples. Aids for Teaching Mathematics to the Blind. Hoehn, Larry. The Pythagorean Theorem: An May, 350-54 (see also Dec., 766). May, 344-49 (see also Oct., 515). Infinite Number of Proofs? Sept., 438-41. BoTnesrarnegnucee , J.M aRretdifner nV.. , OGneer alGdo oEd. PGraonbnloenm, and DiDomenico, Angelo S. From Fibonacci Num- Hurwitz, Marsha. Visualizing the Proof of the bers to Geometric Sequences and the Binet Mean-Value Theorem for Derivatives. Jan., Leads to Another and Another and .... Mar., Formula by Way of the Golden Ratio! May 16-18. 188-91 (see also Oct., 568). 386-89. Bosch, William, Jennifer Sizoo, Anita Curtis, Dietrich, Charles H., Daniel C. Litchfield, and Tovinelli, Robert (Bob). Activities for the Logis- Shannon Klein, Cheryl Micale, and E-Sin Lin. David A. Goldenheim. Euclid, Fibonacci, tic Growth Model: or, Invasion of the Killer Fishy Formulas. Nov., 666-71. Sketchpad. Jan., 8-12 (see also Sept., Moths. Oct., 588-97. Brown, Catherine A., and Margaret S. Smith. 480-81, 484 and Oct., 566, 568). Supporting the Development of Mathemati- Jabon, David, Gail D. Nord, and John Nord. Draper, Roni Jo. Active Learning in Mathe- cal Pedagogy. Feb., 138-43. The Mathematics of the Global Positioning matics: Desktop Teaching. Nov., 622—25. System. Sept., 455-62, 469-70. Brunner, Ann, and Sharon Sheehan. The Alge- bra Launching PAD. Dec., 696-701. Feicht, Louis. Parametric Equations, Maple, Janovsky, Andrew V. Integrating Mathemati- Brunncr, Regina Baron. Numbers, Please! The and Tubeplots. Nov., 612-13. cal Strands. Oct., 516-19. Telephone Directory and Probability. Dec., Ferguson, Donna K. What Day Is It? Sept., Jiang, Zhonghong, and Edwin McClintock. 704-5. 450-51. Spreadsheets: Powerful Tools for Probability Burrill, Gail. Choices and Challenges. Sept., Foshay, John D., and Wendy L. Wells. Table Simulations. Oct., 572-79. 506-11. Tennis, Anyone? Using Ping-Pong to Teach Johnson, John M. The Birthday Problem the Coordinate Plane. Dec., 712-14. Explained. Jan., 20-22. Camp, Dane R., David Reinstein, and Paul Fosnaugh, Linda S., Marvin E. Harrell, and Johnson, Luella H. A Look at Parabolas with a Sally. Generating Fractals through Self- Timothy Fosnaugh. When Knottiness Is Fit- Graphing Calculator. Apr., 278-82. Replication. Jan., 34-38, 43-45 (see also ting Behavior. Jan., 23-24. Sept., 484). Kelemanik, M. Grace, Faye Ruopp, Al Cuoco, Fosnaugh, Timothy, Linda S. Fosnaugh, and Carter, Claudia R. Packing Them In. Mar., and Sue M. Rasala. Algebraic Thinking: A Marvin E. Harrell. When Knottiness Is Fit- 211-14, 220-22. Theme for Professional Development. Feb., ting Behavior. Jan., 23-24. Choate, Jonathan, and Henri Picciotto. Iterat- 150-54. Frantz, Marny, and Sylvia Lazarnick. Data ing Linear Functions—an Introduction to Kennedy, Jane B. A Novel Way to Practice Analysis and the Hardrock 100. Apr., 274-76. Dynamical Systems. Feb., 122-26, 132-36. Slope. Apr., 284. Friedlander, Alex, and Rina Hershkowitz. Rea- Clarke, Lauren. Getting into the “Swing” of Kenney, Margaret J., and Stanley J. Bezuszka. soning with Algebra. Sept., 442-47. Functions. Feb., 102-9. Even Perfect Numbers: (Update)”. Nov., Furstenberg, Eric, Colin Adams, Jie Li, and Coes, Loring III. More Functions of a Toy Bal- 628-33. Jodi Schneider. Exploring Knots. Nov., loon. Apr., 290-94, 300-2. Kern, Cherlyn. Descriptive-Paragraph 640-46, 652. Craine, Timothy V., and Frances Van Dyke. Miniproject. May, 362-63. Equivalent Representations in the Learning Gannon, Gerald E., Martin V. Bonsangue, and Kim, Hy. Angled Sunshine, Seasons, and Solar of Algebra. Nov., 616-19. Terrence J. Redfern. One Good Problem Energy. Oct., 528-32. Crossfield, Don. (Naturally) Numbers Are Fun. Leads to Another and Another and .... Mar., King, Joann L., and Lydotta M. Taylor. A Pop- Feb., 92-95. 188-91 (see also Oct., 568). corn Project for All Students. Mar., 194-200 Crowley, Mary L. Aligning Assessment with Gilead, Shoshana, and Michal Yerushalmy. (see also Sept., 486). Classroom Practices: A Promising Testing Solving Equations in a Technological Envi- King, Sybrina L., Piecing Together Piecewise Format. Dec., 706-11. ronment. Feb., 156-62. Functions. Oct., 550-52. 758 THE MATHEMATICS TEACHER THE MATHEMATICS TEACHER - Classified Index « Vol. 90 1997 Klein, Raymond J., and Ilene Hamilton. Using with Two Roots—a Student-Generated Algo- Rasala, Sue M., Faye Ruopp, Al Cuoco, and Technology to Introduce Radian Measure. rithm. Dec., 742-44. M. Grace Kelemanik. Algebraic Thinking: A Feb., 168-72. Theme for Professional Development. Feb., Klein, Shannon, William Bosch, Jennifer Sizoo, Nicholson, Ramona, Frank Morgan, and 150-54. Edward R. Melnick. The Soap-Bubble Geom- Anita Curtis, Cheryl Micale, and E-Sin Lin. Redfern, Terrence J., Martin V. Bonsangue, Fishy Formulas. Nov., 666-71. etry Contest. Dec., 746-50. and Gerald E. Gannon. One Good Problem Kubiak, Evelyn, and Thomas Dick. Issues and Nicol, Marsha P. How One Physics Teacher Leads to Another and Another and .... Mar., Aids for Teaching Mathematics to the Blind. Changed His Algebraic Thinking. Feb., 86-89. 188-91 (see also Oct., 568). May, 344-49 (see also Oct., 515). Nord, Gail D., David Jabon, and John Nord. Reinstein, David, Paul Sally, and Dane R. The Mathematics of the Global Positioning Camp. Generating Fractals through Self- Lambdin, Diana V., and Yoshinori Shimizu. System. Sept., 455-62, 469-70. Replication. Jan., 34-38, 43-45 (see also Assessing Students’ Performance on an Nord, John, Gail D. Nord, and David Jabon. Sept., 484). Extended Problem-Solving Task: A Story The Mathematics of the Global Positioning Ridgway, Carolyn, and Christopher Healy. from a Japanese Classroom. Nov., 658-64. System. Sept., 455-62, 469-70. Evaluation of Empowerment in a High Lancaster, Ron, and Vince Delisi. A Mathe- matics Trail at Exeter Academy. Mar., O'Hara, John, Stu Schwartz, and Charles E. School Geometry Class. Dec., 738-41. 234-37. Moulton. Constructing Radical Equations Roebuck, Kay I. Meeks. A Formula for Factor- Lazarnick, Sylvia, and Marny Frantz. Data with Two Roots—a Student-Generated Algo- ing. Mar., 206-7. Analysis and the Hardrock 100. Apr., 274-76. rithm. Dec., 742-44. Ruopp, Faye, Al Cuoco, Sue M. Rasala, and M. Grace Kelemanik. Algebraic Thinking: A Lemon, Patricia. Pascal’s Triangle—Patterns, Peressini, Dominic. Parental Involvement in Theme for Professional Development. Feb., Paths, and Plinko. Apr., 270-73. the Reform of Mathematics Education. Sept., 150-54. Leonard, Bill. Proof: The Power of Persuasion. 421-27. Mar., 202-5. Perham, Arnold E., C.S.V., Bernadette H. Sally, Paul, David Reinstein, and Dane R. Li, Jie, Colin Adams, Eric Furstenberg, and Perham, and Faustine L. Perham. Creating Camp. Generating Fractals through Self- Jodi Schneider. Exploring Knots. Nov., a Learning Environment for Geometric Replication. Jan., 34-38, 43-45 (see also 640-46, 652. Reasoning. Oct., 521-26, 542. Sept., 484). Libow, Herb. Explorations in Geometry: The Perham, Bernadette H., Arnold E. Perham, Sandefur, James T., and Rosalie A. Dance. “Art” of Mathematics. May, 340-42 (see also C.S.V., and Faustine L. Perham. Creating a Approaching the Speed of Light with Class. Dec., 766-67). Learning Environment for Geometric Rea- Apr., 314-21. Lin, E-Sin, William Bosch, Jennifer Sizoo, soning. Oct., 521-26, 542. Saul, Mark. Common Sense: The Most Impor- Anita Curtis, Shannon Klein, and Cheryl Perham, Faustine L., Arnold E. Perham, tant Standard. Mar., 182-84. Micale. Fishy Formulas. Nov., 666-71. C.S.V., and Bernadette H. Perham. Creating Schimmel, Judith. A New Spin on Volumes of Litchfield, Daniel C., David A. Goldenheim, a Learning Environment for Geometric Rea- Solids of Revolution. Dec., 715-17. and Charles H. Dietrich. Euclid, Fibonacci, soning. Oct., 521-26, 542. Schloemer, Cathy G. Some Practical Possibili- Sketchpad. Jan., 8-12 (see also Sept., Peterson, Blake E. A New Angle on Stars. ties for Alternative Assessment. Jan., 46-49. 480-81, 484 and Oct., 566, 568). Nov., 634-39. Schneider, Jodi, Colin Adams, Eric Furstenberg, MacGregor, Mollie, and Kaye Stacey. Ideas Petit, Marge, and Judith S. Zawojewski. and Jie Li. Exploring Knots. Nov., 640-46, 652. about Symbolism That Students Bring to Teachers and Students Learning Together Schwartz, Stu, Charles E. Moulton, and John Algebra. Feb., 110-18. about Assessing Problem Solving. Sept., O'Hara. Constructing Radical Equations 472-77. with Two Roots—a Student-Generated Algo- Maida, Paula J. Can You Guess My Number? Feb., 114-17. Picciotto, Henri, and Jonathan Choate. Iterat- rithm. Dec., 742-44. McClintock, Edwin, and Zhonghong Jiang. ing Linear Functions—an Introduction to Senk, Sharon L., Charlene E. Beckmann, and Spreadsheets: Powerful Tools for Probability Dynamical Systems. Feb., 122-26, 132-36. Denisse R. Thompson. Improving Classroom Simulations. Oct., 572-79. Piez, Cynthia M., and Mary H. Voxman. Multi- Tests as a Means of Improving Assessment. McClintock, Ruth M. The Pyramid Question: A ple Representations—Using Different Per- Jan., 58-64. Problem-Solving Adventure. Apr., 262-68 spectives to Form a Clearer Picture. Feb., Sheehan, Sharon, and Ann Brunner. The Alge- (see also Sept., 486). 164-66. bra Launching PAD. Dec., 696-701. Melnick, Edward R., Frank Morgan, and Polaski, Thomas W., and Ronnie C. Goolsby. Shilgalis, Tom. Exploring a Parabolic Paradox Ramona Nicholson. The Soap-Bubble Geome- Extraneous Solutions and Graphing Calcula- with the Graphing Calculator. Sept., 488-93. try Contest. Dec., 746-50. tors. Dec., 718-20. Shimizu, Yoshinori, and Diana V. Lambdin. Metz, James R., and Joseph T. Zilliox. Recipro- Pugalee, David K. Connecting Writing to the Assessing Students’ Performance on an cal Mappings: The Neglected Transforma- Mathematics Curriculum. Apr., 308-10. Extended Problem-Solving Task: A Story tions. Apr., 322-27. from a Japanese Classroom. Nov., 658-64. Quesada, Antonio R. Recent Improvements to Micale, Cheryl, William Bosch, Jennifer Sizoo, the Sieve of Eratosthenes. Apr., 304-7. Sizoo, Jennifer, William Bosch, Anita Curtis, Anita Curtis, Shannon Klein, and E-Sin Lin. Shannon Klein, Cheryl Micale, and E-Sin Quinn, Anne Larson. Using Dynamic Geometry Fishy Formulas. Nov., 666-71. Lin. Fishy Formulas. Nov., 666-71. Software to Teach Graph Theory: Isomorphic, Miedema, Allen, and Duane DeTemple. Pat- Smith, Margaret S., and Catherine A. Brown. Bipartite, and Planar Graphs. Apr., 328-32. terns and Puzzles for Pyramids and Prisms. Supporting the Development of Mathemati- Quinn, Anne Larson, and Cynthia Barb. Prob- May, 370-74, 380-84. cal Pedagogy. Feb., 138-43. lem Solving Does Not Have to Be a Problem. Morgan, Frank, Edward R. Melnick, and Stacey, Kaye, and Mollie MacGregor. Ideas Oct., 536-42. Ramona Nicholson. The Soap-Bubble Geome- about Symbolism That Students Bring to try Contest. Dec., 746-50. Ralston, Anthony, and Stephen S. Willoughby. Algebra. Feb., 110-13. Moulton, Charles E., Stu Schwartz, and John Realistic Problem Formulation and Problem Stephens, Gregory P. Trigonometry for the O'Hara. Constructing Radical Equations Solving. Sept., 430-34. Energy-Conscious Architect. Oct., 564-65. Vol. 90, No. 9 © December 1997 759 THE MATHEMATICS TEACHER -« Classified Index « Vol. 90 1997 Stick, Marvin E. Calculus Reform and Graph- Exploring Knots. Nov., 640-46, 652. Solving Equations in a Technological Environ- ing Calculators: A University View. May, Generating Fractals through Self-Replication. ment. Feb., 156-62. 356-60, 363. Jan., 34-38, 43-45 (see also Sept., 484). Telephones and Algebra. Feb., 96-100. Iterating Linear Functions—an Introduction to Using a Graphing Utility as a Catalyst for Taylor, Lydotta M., and Joann L. King. A Pop- Dynamical Systems. Feb., 122-26, 132-36. Connections. Jan., 50-56. corn Project for Ali Students. Mar., 194-200 The Mathematics of the Global Positioning (see also Sept., 486). Arithmetic System. Sept., 455-62, 469-70. Thompson, Denisse R., Charlene E. Beckmann, More Functions of a Toy Balloon. Apr., 290-94, Products, 252. and Sharon L. Senk. Improving Classroom 300-2. Reader Reflections, 6, 31. Tests as a Means of Improving Assessment. A Novel Way to Practice Slope. Apr., 284. Jan., 58-64. Assessment Packing Them In. Mar., 211-14, 220-22. Touval, Ayana. Investigating a Definite Inte- Projects, 606, 608. gral—from Graphing Calculator to Rigorous Patterns and Puzzles for Pyramids and Prisms. May, 370-74, 380-84. Aligning Assessment with Classroom Prac- Proof. Mar., 230-32. tices: A Promising Testing Format. Dec., Tylee, J. Louis. Computing Airplane Stopping A Popcorn Project for All Students. Mar., 706-11. Distance: Applications of Derivatives. May, 194-200 (see also Sept., 486). Assessing Students’ Performance on an 398-402. Reciprocal Mappings: The Neglected Transfor- Extended Problem-Solving Task: A Story mations. Apr., 322-27. Van Dyke, Frances, and Timothy V. Craine. The Soap-Bubble Geometry Contest. Dec., from a Japanese Classroom. Nov., 658-64. Equivalent Representations in the Learning 746-50. Improving Classroom Tests as a Means of of Algebra. Nov., 616-19. What Day Is It? Sept., 450-51. Improving Assessment. Jan., 58-64. Vanden Bosch, Peter. A Singular Function: A Some Practical Possibilities for Alternative When Knottiness Is Fitting Behavior. Jan., Problem-Solving Parable. May, 390-93. Assessment. Jan., 46-49. 23-24. Vonder Embse, Charles. Using a Graphing Teachers and Students Learning Together about Utility as a Catalyst for Connections. Jan., Aigebra Assessing Problem Solving. Sept., 472-77. 50-56. Products, 502, 605-606. Using the Assessment of Students’ Learning to . Visualizing Least-Square Lines of Best Projects, 176. Reshape Teaching. Mar., 223-29. Fit. May, 404-8. Publications, 248, 250, 333, 500, 605, 754. Calculus Voxman, Mary H., and Cynthia M. Piez. Multi- Reader Reflections, 65, 66-67, 419, 478-79, Products, 250-51. ple RepresentatioUnssin—g Different Per- 571, 581, 611, 672, 674, 676. spectives to Form a Clearer Picture. Feb., Projects, 756-57. The Algebra Launching PAD. Dec., 696-701. 164-66. Publications, 500, 684, 756. Algebraic Thinking: A Theme for Professional Reader Reflections, 33 (see also Sept., 484), 65, Wells, Wendy L., and John D. Foshay. Table Development. Feb., 150-54. 484, 566. Tennis, Anyone? Using Ping-Pong to Teach Approaching the Speed of Light with Class. Calculus Reform and Graphing Calculators: A the Coordinate Plane. Dec., 712-14. Apr., 314-21. University View. May, 356-60, 363. Wilcox, Sandra K. Using the Assessment of Can You Guess My Number? Feb., 114-17. Computing Airplane Stopping Distance: Appli- Students’ Learning to Reshape Teaching. Constructing Radical Equations with Two cations of Derivatives. May, 398-402. Mar., 223-29. Roots—a Student-Generated Algorithm. Investigating a Definite Integral—from Graph- Willoughby, Stephen S., and Anthony Ralston. Dec., 742-44. ing Calculator to Rigorous Proof. Mar., 230-32. Realistic Probiem Formulation and Problem Equivalent Representations in the Learning of A New Spin on Volumes of Solids of Revolu- Solving. Sept., 430-34. Algebra. Nov., 616-19. tion. Dec., 715-17. Exploring a Parabolic Paradox with the Yerushalmy, Michal, and Shoshana Gilead. A Singular Function: A Problem-Solving Para- Graphing Calculator. Sept., 488-93. Solving Equations in a Technological Envi- ble. May, 390-93. Extraneous Solutions and Graphing Calcula- ronment. Feb., 156-62. Visualizing the Proof of the Mean-Value Theo- tors. Dec., 718-20. rem for Derivatives. Jan., 16-18. Zawojewski, Judith S., and Marge Petit. A Formula for Factoring. Mar., 206-7. Teachers and Students Learning Together How One Physics Teacher Changed His Alge- Communication about Assessing Problem Solving. Sept., braic Thinking. Feb., 86-89. Reader Reflections, 611. 472-77. Ideas about Symbolism That Students Bring to Zilliox, Joseph T., and James R. Metz. Recipro- Algebra. Feb.,, 110-13. Connections cal Mappings: The Neglected Transforma- A Look at Parabolas with a Graphing Calcula- Publications, 498. tions. Apr., 322-27. tor. Apr., 278-82. ‘ Reader Reflections, 67, 486, 515. The Mathematics of the Global Positioning Angled Sunshine, Seasons, and Solar Energy. System. Sept., 455-62, 469-70. Oct., 528-382. SUBJECT INDEX More Functions of a Toy Balloon. Apr., 290-94, Approaching the Speed of Light with Class. 300-2. Apr., 314-21. Activities Multiple RepresentatioUnssin—g Different Connecting Writing to the Mathematics Cur- Media Clips, Jan., 26-30, Feb., 118-21, Mar., Perspectives to Form a Clearer Picture. Feb., riculum. Apr., 308-10. 208-10, Apr., 286-89, May, 364-68, Sept., 164-66. How One Physics Teacher Changed His Alge- 452-54, Oct., 554-557, Nov., 654-57, Dec., A Novel Way to Practice Slope. Apr., 284. braic Thinking. Feb., 86-89. 722-26. Reasoning with Algebra. Sept., 442-47. Integrating Mathematical Strands. Oct., Reader Reflections, 238-39, 286-89, 486. Reciprocal Mappings: The Neglected Transfor- 516-19. Activities for the Logistic Growth Model: or, mations. Apr., 322-27. A Mathematics Trail at Exeter Academy. Mar., Invasion of the Killer Moths. Oct., 588-97. Showing That a - b= -(b - a). May, 394-96. 234-37. 760 THE MATHEMATICS TEACHER THE MATHEMATICS TEACHER « Classified Index « Vol. 90 1997 A Popcorn Project for All Students. Mar., Equivalent Representations in the Learning of Prisms. May, 370-74, 380-84. 194-200 (see also Sept., 486). Algebra. Nov., 616-19. The Pyramid Question: A Problem-Solving Telephones and Algebra. Feb., 96-100. Getting into the “Swing” of Functions. Feb., Adventure. Apr., 262—68 (see also Sept., 486). Trigonometry for the Energy-Conscious Archi- 102-9. The Pythagorean Theorem: An Infinite Num- tect. Oct., 564-65. A Look at Parabolas with a Graphing Calcula- ber of Proofs? Sept., 438-41. tor. Apr., 278-82. The Soap-Bubble Geometry Contest. Dec., Curriculum More Functions of a Toy Balloon. Apr., 290-94, 746-50. Products, 72, 74, 250-52, 500, 502, 606. 300-2. Table Tennis, Anyone? Using Ping-Pong to Projects, 686, 688. Parametric Equations, Maple, and Tubeplots. Teach the Coordinate Plane. Dec., 712-14. Publications, 70, 72, 248-49, 333-34, 410, Nov., 612-13. Using Dynamic Geometry Software to Teach 412, 500, 684, 686, 754, 756. Piecing Together Piecewise Functions. Oct., Graph Theory: Isomorphic, Bipartite, and Reader Reflections, 6 (see also Sept., 485-86), 550-52. Planar Graphs. Apr., 328-32. 180, 478-79, 486, 515, 694. Reciprocal Mappings: The Neglected Transfor- Using Technology to Introduce Radian Mea- Connecting Writing to the Mathematics Cur- mations. Apr. 322-27. sure. Feb., 168-72. riculum. Apr., 308-10. A Singular Function: A Problem-Solving Para- Using the Assessment of Students’ Learning to Integrating Mathematical Strands. Oct., 516-19. ble. May, 390-93. Reshape Teaching. Mar., 223-29. A Mathematics Trail at Exeter Academy. Mar., Visualizing the Proof of the Mean-Value Theo- 234-37. rem for Derivatives. Jan., 16-18. History Parental Involvement in the Reform of Mathe- Publications, 249-50 (see also Dec., 764-65), Games and Puzzles matics Education. Sept., 421-27. 410, 498, 499. A Popcorn Project for All Students. Mar., Products, 252, 254, 412. Reader Reflections, 676, 694, 764-65. 194-200 (see also Sept., 486). Publications, 72, 249, 499-500. Reader Reflections, 31, 339, 683, 691. Measurement Discrete Mathematics Pascal’s Triangle—Patterns, Paths, and Using Technology to Introduce Radian Mea- Products, 502. Plinko. Apr., 270-73. sure. Feb., 168-72. Publications, 410, 412, 605. Realistic Problem Formulation and Problem Reader Reflections, 672, 674. Solving. Sept., 430-34. Multiculturalism Integrating Mathematical Strands. Oct., What Day Is It? Sept., 450-51. Products, 252. 516-19. Reader Reflections, 67. Geometry Iterating Linear Functions—an Introduction Products, 252, 413, 502, 503. NCTM President's Message to Dynamical Systems. Feb., 122-26, 132-36. Projects, 74, 254-55. Choices and Challenges. Sept., 506-11. Diversity Publications, 70, 334, 605. Number Theory Reader Reflections, 515. Reader Reflections, 6, 31-32, 67-68 (see also Oct., 571), 180, 260, 312, 339, 415, 478, Publications, 499, 605. Issues and Aids for Teaching Mathematics to 479-81, 484, 566-68, 571, 600, 611, 672, 676, Reader Reflections, 32-33, 65-66, 180 (see the Blind. May, 344-49 (see also Oct., 515). 678, 680, 682, 691, 694, 764, 765, 766-67. also Oct., 570-71), 260 (see also Dec., 766), Editorials Creating a Learning Environment for Geomet- 312, 339, 479-81, 484, 485-86, 566, 568, Reader Reflections, 6. ric Reasoning. Oct., 521-26, 542. 570-71, 581, 600, 611, 674, 691, 694, 767. Common Sense: The Most Important Standard. Descriptive-Paragraph Miniproject. May, Can You Guess My Number? Feb., 114-17. 362-63. Even Perfect Numbers: (Update)’. Nov., 628-33. Mar., 182-84. Welcome to Our Focus Issue on Algebraic Euclid, Fibonacci, Sketchpad. Jan., 8-12 (see From Fibonacci Numbers to Geometric Thinking. Feb., 84-85. also Sept., 480-81, 484 and Oct., 566, 568). Sequences and the Binet Formula by Way of Evaluation of Empowerment in a High School the Golden Ratio! May, 386-89. Educationai Research Geometry Class. Dec., 738-41. Iterating Linear Functions—an Introduction to Publications, 497-98, 605, 684, 686, 753-54. Explorations in Geometry: The “Art” of Mathe- Dynamical Systems. Feb., 122--26, 132-36. Evaluation of Empowerment in a High School matics. May, 340-42 (see also Dec., 766-67). Multiple Representations—Using Different Geometry Class. Dec., 738-41. Exploring Knots. Nov., 640-46, 652. Perspectives te Form a Clearer Picture. Feb., Parental Involvement in the Reform of Mathe- Generating Fractals through Self-Replication. 164-66. matics Education. Sept., 421-27. Jan., 34-38, 43-45 (see also Sept., 484). (Naturally) Numbers Are Fun. Feb., 92-95. A Geometrical Representation of Primitive Pascal's Triangle— Patterns, Paths, and Equity Pythagorean Triples. May 350-54 (see also Plinko. Apr., 270-73. Projects, 413-414. Dec., 766). Proof: The Power of Persuasion. Mar., 202-5. Publications, 500. Integrating Mathematical Strands. Oct., 516-19. Recent Improvements to the Sieve of Eratos- Reader Reflections, 515. The Mathematics of the Global Positioning thenes. Apr., 304-7. Issues and Aids for Teaching Mathematics to System. Sept., 455-62, 469-70. Solving Equations in a Technological Environ- the Blind. May, 344-49 (see also Oct., 515). More Functions of a Toy Balloon. Apr., 290-94, ment. Feb., 156-62. 300-2. What Day Is It? Sept., 450-51. Functions A New Angle on Stars. Nov., 634-39. Pedagogy Publications, 499. One Good Problem Leads to Another and An- Reader Reflections, 66-67, 766. other and .... Mar., 188-91 (see also Oct., 568). Products, 412-13. Building the Concept of function from Stu- Packing Them In. Mar., 211-14, 220-22. Publications, 333, 686. dents’ Everyday Activities. Feb., 144-49. Patterns and Puzzles for Pyramids and Reader Reflections, 260, 478-479, 515, 611. Vol. 90, No. 9 © December 1997 761 THE MATHEMATICS TEACHER « Classified Index « Vol. 90 1997 Active Learning in Mathematics: Desktop The Perils of Conditional Statements and the Using Technology to Introduce Radian Mea- Teaching. Nov., 622-25. Notion of Logical Equivalence. Oct., 544-48. sure. Feb., 168-72. Common Sense: The Most Important Stan- Proof: The Power of Persuasion. Mar., 202-5. Visualizing Least-Square Lines of Best Fit. dard. Mar., 182-84. The Pythagorean Theorem: An Infinite Num- May, 404-8. Descriptive-Paragraph Miniproject. May, ber of Proofs? Sept., 488-41. Visualizing the Proof of the Mean-Value Theo- 362-63. Reasoning with Algebra. Sept., 442-47. rem for Derivatives. Jan., 16-18. From the General to the Particular: Knowing Our Own Students as Learners of Mathe- Statistics Technology Reviews matics. Dec., 732-37. Projects, 503-4. Algebra Honing the Abilities of the Mathematically Publications, 250, 756. Green Globs and Graphing Equations, Macin- Promising. Oct., 582-86. Reader Reflections, 515, 566. tosh, System 6.0.7 or higher. Sept., 496. Issues and Aids for Teaching Mathematics to The Correlation Coefficient and Influential the Blind. May, 344-49 (see also Oct., 515). Data Points. Mar., 242-46 (see also Oct., Arithmetic Proof: The Power of Persuasion. Mar., 202-5. 515, 566). Mathematics, DOS 3.1 or higher. Sept., 497. Supporting the Development of Mathematical Data Analysis and the Hardrock 100. Apr., Pedagogy. Feb., 138-43. 274-76. Curriculum Probability Visualizing Least-Square Lines of Best Fit. FUNdamentallyMATH, IBM. Sept. 495-96. May, 404-8. Hot Dog Stand: The Works. Macintosh/ Publications, 756. Windows. Dec., 752. Reader Reflections, 478, 676. Teacher Education An Introduction to Programming JAVA The Birthday Problem Explained. Jan., 20-22. Projects, 503-4. Applets, CD-ROM. Sept., 496-97. Numbers, Please! The Telephone Directory and Probability. Dec., 704-5. Technology LaserLab: A Virtual Laser Optics Workbench. Dec., 752-53. Realistic Problem Formulation and Problem Products, 250-51, 502. Theorist, Macintosh. Dec., 753. Solving. Sept., 480-34. Projects, 74. Spreadsheets: Powerful Tools for Probability Publications, 333, 410, 498-99. Simulations. Oct., 572-79. Reader Reflections, 68, 260, 478, 515, 566 (see Games/Puzzles also Mar., 242—46), 566-68 (see also Jan., Reader Reflections, 239. Problem Solving 8-12). Escher Interactive: Exploring the Art of the Calendars, Jan., 34-42 (see also May, 415-16), Calculus Reform and Graphing Calculators: A Infinite, PC with 486SX/66 MHZ or higher Feb., 127-—31(see also Nov., 682), Mar., University View. May, 356-60, 363. processor. Oct., 604. 215-19 (see also Sept., 487 and Oct., 600), The Correlation Coefficient and Influential Data Apr. 295-99 (see also Dec., 767), May, Points. Mar., 242-46 (see also Oct., 515, 566). Geometry 375-79 (see also Nov., 683 and Dec., 767), Euclid, Fibonacci, Sketchpad. Jan., 8-12 (see Chaos Demonstrations, PC with DOS 3.0 or Sept., 463-68, Oct., 559-63, Nov., 647-51, also Sept., 480-81, 484 and Oct., 566, 568). higher. Sept., 494-95. Dec., 727-31. Exploring a Parabolic Paradox with the FX Draw, Ver. 1.2, Macintosh, DOS, Windows Products, 254, 503. Graphing Calculator. Sept., 488-93. 3.1 or later. Dec., 752. Publications, 250, 604-5. Extraneous Solutions and Graphing Calcula- Reader Reflections, 65, 68-69, 239-40 (see tors. Dec., 718-20. Trigonometry also Sept., 486), 415-16, 486-87 (see also Fishy Formulas. Nov., 666-71. Boxer Trigonometry, CD-ROM for Windows, Mar., 215), 568, 600, 682, 683, 767. Generating Fractals through Self-Replication. ver. 3.1 or higher. Sept., 494. Assessing Students’ Performance on an Jan., 34-38, 43-45 (see also Sept., 484). Extended Problem-Solving Task: A Story from a Japanese Classroom. Nov., 658-64. Getting into the “Swing” of Functions. Feb., Tests One Good Problem Leads to Another and 102-9. Improving Classroom Tests as a Means of Another and .... Mar., 188-91 (see also Oct., How One Physics Teacher Changed His Alge- Improving Assessment. Jan., 58-64. braic Thinking. Feb., 86-89. 568). Problem Solving Does Not Have to Be a Prob- Investigating a Definite Integral—from Graph- Trigonometry ing Calculator to Rigorous Proof. Mar., 230-32. lem. Oct., 536-42. Iterating Linear Functions—an Introduction Publications, 250, 605. Realistic Problem Formulation and Problem to Dynamical Systems. Feb., 122-26, 132-36. Reader Reflections, 67. Solving. Sept., 430-34. A Look at Parabolas with a Graphing Calcula- Angled Sunshine, Seasons, and Solar Energy. Professional Development tor. Apr., 278-82. Oct., 528-32. Projects, 336, 686, 688. Parametric Equations, Maple, and Tubeplots. A Look at Parabolas with a Graphing Caleula- Nov., 612-13. tor. Apr., 278-82. Algebraic Thinking: A Theme for Professional Development. Feb., 150-54. Solving Equations in a Technological Environ- Reciprocal Mappings: The Neglected Transfor- ment. Feb., 156-62. mations. Apr. 322-27. Reasoning and Proof Spreadsheets: Powerful Tools for Probability Trigonometry for the Energy-Conscious Archi- Publications, 334. Simulations. Oct., 572-79. tect. Oct., 564-65. Reader Reflections, 67-68 (see also Oct., 571), Using a Graphing Utility as a Catalyst for Using a Graphing Utility as a Catalyst for 260 (see also Dec., 766), 566-68 (see also Connections. Jan., 50-56. Connections. Jan., 50-56. Jan., 8-12), 571. Using Dynamic Geometry Software to Teach Using Technology to Introduce Radian Mea- Euclid, Fibonacci, Sketchpad. Jan., 8-12 (see Graph Theory: Isomorphic, Bipartite, and sure. Feb., 168-72. also Sept., 480-81, 484 and Oct., 566, 568). Planar Graphs. Apr., 328-32. A 762 THE MATHEMATICS TEACHER