# Bibliography Maths Project

The study focused on fairly stable implementations of a first-edition *Standards*-based high school mathematics curriculum that was used by all students in each of three schools.

It involved students who experienced up to seven years of *Standards*-based mathematics curricula and instruction in middle school and high school.

It monitored students' mathematical achievement, beliefs, and attitudes for four years of high school and one year after graduation.

Prior to the study, many of the teachers had one or more years of experience teaching the *Standards*-based curriculum and/or professional development focusing on how to implement the curriculum well.

In the study, variations in levels of implementation of the curriculum are described and related to student outcomes and teacher behavior variables.

## Bibliography

**Contents** [hide/show]

## Primary/Middle School Mathematics

- Battista, Michael T.
*Shape Makers: Developing Geometric Reasoning with The Geometer's Sketchpad*, Berkeley, California: Key Curriculum Press (1997). - Chu, Chi Wai. "Digital Manipulatives for Primary Mathematics."
*Proceedings of Second East Asia Regional Conference on Mathematics Education*, Vol. II, eds. Douglas Edge and Yeap Ban Har (Singapore: EARCOME2/SEACME9, 2002): 366–71. - Flores, Alfino. "The Kinematic Method and
*The Geometer's Sketchpad*in Geometrical Problems."*International Journal of Computers for Mathematical Learning*, Vol. 3(1) (1998): 1–12. - Flores, Alfino. "A Rhythmic Approach to Geometry."
*Mathematics Teaching in the Middle School*, Vol. 7(7) (March 2002): 378–83. - Horton, Bob, and Elaine Wiegert. "Using Handhelds and Billiards to Teach Reflection."
*Learning & Leading with Technology*, Vol. 29(8) (May 2002). - Little, Catherine. "Geometry Projects Linking Mathematics, Literacy, Art, and Technology."
*Mathematics Teaching in the Middle School*, Vol. 4(5) (February 1999): 332–35. - Manouchehri, Azita, Mary C. Enderson, and Lyle A. Pugnucco. "Exploring Geometry with Technology."
*Mathematics Teaching in the Middle School*, Vol. 3(6) (March–April 1998): 436–42. - Matayun, Agatha. "Tool to explain properties of cubes and cuboids."
*The Star*(March 5, 2006). - Seidel, Judith Day. "Symmetry in Season."
*Teaching Children Mathematics*, Vol. 4(5) (January 1998): 244–49. - Sinclair, Nathalie. "Re-constructing a Painting with Geometric Eyes."
*For the Learning of Mathematics*, Vol. 22(3) (2002): 19–23. - Sinclair, Nathalie, and Sandra Crespo. Learning Mathematics in Dynamic Computer Environments.
*Teaching Children Mathematics*, Vol. 12 (May 2006): 437–44. - Taylor, Lyn. "Exploring Geometry with
*The Geometer's Sketchpad*."*Arithmetic Teacher*, Vol. 40(2) (November 1992): 187–99. - Wyatt, Karen W., Ann Lawrence, and Gina M. Foletta.
*Geometry Activities for Middle School Students with*The Geometer's Sketchpad*.*, Berkeley, California: Key Curriculum Press (1997). - Yin, Ho Siew. "Using
*Geometer's Sketchpad*with Primary Five Students,"*Proceedings of Second East Asia Regional Conference on Mathematics Education*, Vol. II, eds. Douglas Edge and Yeap Ban Har (Singapore: EARCOME2/SEACME9, 2002): 390–93.

## Secondary School Mathematics

- Althoen, Steven C., Joseph L. Brandell. "Investigating Bricard's Proof of Morley's Theorem with The Geometer's Sketchpad."
*Mathematics Teacher*, Vol. 102(9) (May 2009): 706-709. - Bennett, Dan.
__"Dynamic Geometry Renews Interest in an Old Problem,"__in*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research*, eds. James R. King and Doris Schattschneider, Washington, D.C.: The Mathematical Association of America (1997): 33–46. - Bennett, Dan.
*Exploring Geometry with The Geometer's Sketchpad**.*, Berkeley, California: Key Curriculum Press (1994). - Bennett, Dan.
*Pythagoras Plugged In: Proofs and Problems for*The Geometer's Sketchpad*.*, Berkeley, California: Key Curriculum Press (1995). - Boehm, Kathryn W. "Experiences with
*The Geometer's Sketchpad*in the Classroom" in*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 71–74. - Bosse, Michael J., and Johna Faulconer. "Infinite Sums in Geometry: Inducing Two Sets of Patterns."
*Mathematics Teacher*, Vol. 101(1) (August 2007): 19–22. - Brumbaugh, Doug. "Animate Your Triangles...And Your Students!"
*Consortium*, Vol. 51 (Fall 1994): 8–9. - Brumbaugh, Doug. "Moving Triangles," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 69–70. - Buhl, David A., Michael A. Morisette, and Jeffry Wolff. "Maximizing the Fit of a Box Spring Mattress up a Stairwell."
*Mathematics Teacher*, Vol. 100(4) (November 2006): 241–46. - Caglayan, Gunhan. "Reflections on Vacation Spots".
*Mathematics Teacher*, Vol. 103(9) (May 2010): 638-641. - Cuoco, Albert A., and E. Paul Goldenberg. "Dynamic Geometry as a Bridge from Euclidean Geometry to Analysis," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 33–46. - Davis, Ben. "The Rise, Fall, and Possible Transfiguration of Triangle Geometry: A Mini-History."
*American Mathematical Monthly*, Vol. 102(3) (March 1995). - De Villiers, Michael D. "Exploring Loci on Sketchpad."
*Pythagoras*, Vol. 46(47) (Mathematical Association of Southern Africa: August/December 1998): 71–73. - De Villiers, Michael D. A Generalization of the Nine-point circle and Euler line.
*Pythagoras*, Vol. 62 (December 2005): 31–35. - De Villiers, Michael D. The nine-point conic: a rediscovery and proof by computer.
*International Journal of Mathematical Education in Science and Technology*, Vol. 37(1) (2006): 7–14. - De Villiers, Michael D.
*Rethinking Proof with*The Geometer's Sketchpad, Berkeley, California: Key Curriculum Press (1999). - Dwyer, Marlene, and Richard E. Pfiefer. "Exploring Hyperbolic Geometry with
*The Geometer's Sketchpad*."*The Mathematics Teacher*, Vol. 92(7) (October 1999): 632–37. - Edwards, Michael Todd. "Collaborative Circles Casting School Geometry in a New Light with Dynamic Geometry Software."
*Micromath*, Vol. 21(1) (Spring 2005): 32–40. - Erickson, Tim, and Steven Rasmussen. "Danny Vizcaino's Sketchpad 'Oval.'"
*California Technology Project Quarterly*, Vol. 3(2) (1993). - Feller, Leslie Chess. "The Eternal Challenge of Euclid's Geometry."
*The New York Times*(March 7, 1999). - Finzer, Bill, and Dan Bennett. "From Drawing to Construction with
*The Geometer's Sketchpad*."*The Mathematics Teacher*, Vol. 88(5) (May 1995): 428–31. - Flores, Alfinio. "Curves as Envelopes with
*The Geometer's Sketchpad*."*Mathematics and Computer Education*, Vol. 31 (January 1997): 56–65. - Flores, Alfinio. "Hinged Geometry." (Link only available to NCTM members)
*On-Math*, Vol. 4(1). - Flores, A. Homero. "Learning Mathematics, Doing Mathematics: Deductive Thinking and Construction Tasks with
*The Geometer's Sketchpad*."*Romanian Journal of Education*, Vol. 1(4) (2010): 7-14. - Flores, Alfinio. "Mechanical Arguments in Geometry."
*Primus*, Vol. 4 (September 1999): 241–50. - Flower, Jean. "Fitting from Function Families with CAS and DGS,"
*Proceedings of ICTMT 5 in Klagenfurt 2001: Technology in Mathematics Teaching*, eds. Manfred Borovcnik and Hermann Kautschitsch (Vienna: Shriftenreihe Didaktik der Mathematik, 2002): 273–288. - Forsythe, Sue. "Centres and Circles of a Triangle."
*Mathematics Teaching*, Vol. 125 (September 2009): 9-13. - Garrison, Lionel. "Medians of a Triangle: The Search for Invariants"
*Mathematics Teacher*, Vol. 103(4) (November 2009): 312. - Garry, Tim. "
*Geometer's Sketchpad*in the Classroom," in*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research*, eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 55–62. - Giamati, Claudia. "Conjectures in Geometry and
*The Geometer's Sketchpad*."*The Mathematics Teacher*, Vol. 88(6) (September 1995): 456–58. - Goldberg, Kenneth P.
*Using Technology for Problem Solving in Middle and High School Mathematics: Investigations Using Scientific and Graphing Calculators, Spreadsheets, and The Geometer's Sketchpad.*(Columbus: Pearson / Prentice Hall, 2007). - Gorini, Catherine A. "Dynamic Visualization in Calculus," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research*, eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 89–94. - Hollebrands, Karen F., and Hollylynne Stohl. "Technology Tips: Linear Functions with Excel &
*The Geometer's Sketchpad*."*The Mathematics Teacher*, Vol. 96(7) (October 2003): 516–19. - Hurtado, Rolando. "A Student's Perspective."
*The Global Schoolhouse*(1997). - Jackiw, Nicholas. "The Geometry of Computer Graphics."
*Proceedings of the National Conference on Inquiry-Based Geometry Throughout the Secondary Curriculum*, Northfield, Minnesota: St. Olaf College (1998): 35–52. - Keyton, Michael. "Students Discovering Geometry Using Dynamic Geometry Software," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research*, eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 63–68. - Khairiree, Krongthong. "Enhancing Students' Understanding in Mathematics through the Use of
*The Geometer's Sketchpad*."*Proceedings of the Thailand International Conference on 21st Century Information Technology in Mathematics Education*, Chiang Mai: Chiang Mai Rhajabhat University (2006). - King, James R.
*Geometry Through the Circle with*The Geometer's Sketchpad*.*, Berkeley, California: Key Curriculum Press (1995). - King, James R. "Quadrilaterals Formed by Perpendicular Bisectors," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research*, eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 29–32. - Levine, Lawrence E., and Victoria Wasmuth. "Laptops, Technology, and Algebra 1: A Case Study of an Experiment."
*Mathematics Teacher*, Vol. 97(2) (February 2004): 136–42. - Lichtfield, Dan, Dave Goldenheim, and Charles H. Dietrich. "Euclid, Fibonacci, and Sketchpad."
*The Mathematics Teacher*, Vol. 90(1) (January 1997): 8–12. - Lichtfield, Dan, Dave Goldenheim, and Charles H. Dietrich.
*The GLaD Homepage*. http://www.gfacademy.org/pages/sitepage.cfm?id=511 (1996). - Lin, Pao-Ping, and Che-Jen Hsieh. "Parameter Effects and Solving Linear Equations in Dynamic, Linked, Multiple Representation Environments."
*Mathematics Educator*, Vol. 4(1) (Winter 1993): 25–33. - Lufkin, Daniel. "The Incredible 3x5 Card."
*The Mathematics Teacher*, Vol. 89(2) (February 1996): 96–98. - Lufkin, Daniel. "A Golden Triangle...Sort Of!"
*The Mathematics Teacher*, Vol. 92(2) (February 1999): 154. - Martinez-Cruz, Armando M., Ron McAlister, and Gerald E. Gannon. "Ron's Theorem and Beyond: A True Mathematician and
*GSP*in Action."*Mathematics Teacher*, Vol. 97(2) (February 2004): 148–51. - "Mathematical Lens: Zero Degrees".
*Mathematics Teacher*, Vol. 103(7) (March 2010): 478-481. - McGehee, Jean. "Interactive Technology and Classic Geometry Problems."
*The Mathematics Teacher*, Vol. 91(3) (March 1998): 204–208. - Mead, Robert. "Shear Mathematics or Euclid's Paradoxicals Applied." (Link only available to NCTM members)
*On-Math*, Vol. 4(1) (2006). - Meza Cascante, Luis Gerardo. "Programación de sesiones interactivas en
*Geometer’s Sketchpad*." En Memoria del*Primer Congreso Internacional de Informática Educativa para Secundaria*(San José, Costa Rica). - Meza Cascante, Luis Gerardo. "Enseñanza y aprendizaje de funciones con apoyo de
*Geometer’s Sketchpad*." En libro de memorias del*Primer Congreso Internacional de Enseñanza de la matemática asistida por computadora*., Cartago, Costa Rica (1999). - Meza Cascante, Luis Gerardo. "Enseñanza de la geometría en sétimo año con el programa
*Geometer’s Sketchpad*." En libro de memorias del*Primer Congreso Internacional de Enseñanza de la matemática asistida por computadora*., Cartago, Costa Rica (1999). - Meza Cascante, Luis Gerardo. "Problemas de máximos y mínimos en la educación secundaria con
*Geometer’s Sketchpad*." En libro de memorias del*Primer Congreso Internacional de Enseñanza de la matemática asistida por computadora.*, Cartago, Costa Rica (1999). - Morrow, James.
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research*, eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 47–54. - Moyer, Todd O. "Non-Geometry Mathematics and
*The Geometer's Sketchpad*."*Mathematics Teacher*, Vol. 99(7) (March 2006): 490–95. - Muller, Kimberly O. "How Technology can Promote the Learning of Proof".
*Mathematics Teacher*, Vol. 103(6) (February 2010): 437-441. - Naik, Gautam. "Teen Math Whizzes Go Euclid One Better."
*The Wall Street Journal*(December 9, 1996). - Neiss, Margaret L. "Lines and Angles: Using
*Geometer's Sketchpad*to Construct Geometric Knowledge."*Learning and Leading with Technology*(December–January 1996–97): 27–31. - Nelson, Cheryl Q., and Nicole L. Williams. "Sprinklers and Amusement Parks: What Do They Have to Do with Geometry?"
*The Mathematics Teacher*, Vol. 100(6) (February 2007): 440–45. - Oldknow, Adrian. "ICT - Bringing Maths to Life and Vice Versa."
*Micromath*, Vol. 21(2) (Summer 2005): 16–24. - Olive, John. "Opportunities to Explore and Integrate Mathematics with
*The Geometer's Sketchpad*," in*Designing Learning Environments for Developing Understanding of Geometry and Space*, eds. Richard Lehrer and Daniel Chazan., Mahwah, New Jersey: Lawrence Erlbaum Associates (1998): 395–418. - Özgün-Koca, S. Asli. "Use of Archimedes' Process for Approximating Circle Area as an Introduction to Limits."
*Mathematics Teacher*, Vol. 100(8) (April 2007): 550–55. - Pereira, Peter. "Notes on a Square: Explorations Off and On a Computer."
*Proceedings of the National Conference on Inquiry-Based Geometry Throughout the Secondary Curriculum*, Northfield, Minnesota: St. Olaf College (1998): 10–23. - Peterson, Blake. "A New Angle on Stars."
*The Mathematics Teacher*, Vol. 90(8) (November 1997): 634–39. - Purdy, David C. "Using
*The Geometer's Sketchpad*to Visualize Maximum-Volume Problems."*The Mathematics Teacher*, Vol. 93(3) (March 2000): 224–28. - Rich, Eric. "Elegance of Euclid."
*The Hartford Courant*(March 13, 1997): E1, E4. - Rudolph, Heidi. "Mathematical Lens: Making a Pitch for Slope".
*Mathematics Teacher*, Vol. 103(8) (April 2010): 557-561. - Ruthven, Kenneth. "Expanding Current Practice: Using Dynamic Geometry to Teach About Angle Properties."
*Micromath*, Vol. 21(2) (Summer 2005): 26–30. - Sanders, Cathleen.
*Perspective Drawing with The Geometer's Sketchpad*, Berkeley, California: Key Curriculum Press (1994). - Sanders, Cathleen. "Adventures with
*The Geometer's Sketchpad*."*Kamehameha Journal of Education*, Vol. 6 (Summer 1995): 119–26. - Sanders, Cathleen. "Geometric Constructions: Visualizing and Understanding Geometry."
*The Mathematics Teacher*, Vol. 91(7) (October 1998): 554–56. - Scher, Daniel.
*Exploring Conic Sections with The Geometer's Sketchpad*, Berkeley, California: Key Curriculum Press (1995). - Scher, Daniel. "Technology Tips—Theorems in Motion: Using Dynamic Geometry to Gain Fresh Insights."
*The Mathematics Teacher*, Vol. 89(4) (April 1996): 330–32. - Scher, Daniel. "Folded Paper, Dynamic Geometry, and Proof: A Three-Tier Approach to the Conics."
*The Mathematics Teacher*, Vol. 89(3) (March 1996): 188–93. - Scher, Daniel. "Problem Solving and Proof in the Age of Dynamic Geometry."
*Micromath*, Vol. 15(1) (Spring 1999): 24–30. - Schumann, Heinz. "Interactive Calculations on Geometric Figures."
*Proceedings of Technology in Mathematics Teaching*(1993). - Shaffer, David.
*Exploring Trigonometry with The Geometer's Sketchpad*, Berkeley, California: Key Curriculum Press (1995). - Shilgalis, Thomas W. "Finding Buried Treasures: An Application of
*The Geometer's Sketchpad*."*The Mathematics Teacher*, Vol. 91(2) (February 1998): 162–65. - Siegel, M. Lauren, Gail Dickinson, Eric J. Hooper, and Mark Daniel. "Teaching Algebra and Geometry Concepts by Modeling Telescope Optics."
*The Mathematics Teacher*, Vol. 101(7) (March 2008): 490-497. - Starling, Tina T. and Karen F. Hollebrands. "Investigating Star Polygons".
*Mathematics Teacher*, Vol. 103(7) (March 2010): 525-529. - Steer, Jessica, Maria Antonieta de Vila, James Eaton. "Trigonometry with Year 8."
*Mathematics Teaching*, Vol. 215 (September 2009): 6-8. - Stone, Michael. "Teaching Relationships Between Area and Perimeter with
*The Geometer's Sketchpad*."*The Mathematics Teacher*, Vol. 87(8) (November 1994). - Tamblyn, Michael A. "Multiple Representations Using Dynamic Geometry."
*Mathematics Teacher*, Vol. 103(2) (September 2009): 146-150. - Tanner, Ruth. "Bearings Using
*Geometer's Sketchpad*."*Micromath*, Vol. 21(1) (Spring 2005): 22–23. - Tucker, John M. "A Lesson on the Slopes of Perpendicular Lines".
*Mathematics Teacher*, Vol. 103(8) (April 2010): 603-606. - Turton, W. Roger. "Mathematical Lens."
*The Mathematics Teacher*, Vol. 102(5) (December 2008): 356-358. - Wagner, Betsy. "The Ninth Graders Who Answered Euclid."
*US News and World Report*(December 23, 1996): 20. - Walker, Janet M. "Where Have All the Flowers Gone?"
*Mathematics Teacher*, Vol. 101(2) (September 2007): 88. - Walter, Marion and Don Crossfield. "From Chords of Circles to Triangular Numbers to Volumes of Spheres".
*Mathematics Teacher*, Vol. 103(8) (April 2010): 616-621. - Weaver, Jennifer L., and Robert J. Quinn. "
*The Geometer's Sketchpad*in Secondary Geometry."*Computers in the Schools*, Vol. 15(2) (1999): 83–95. - Wilson, Jim.
*Comments on the GLaD Construction*. http://jwilson.coe.uga.edu/%20Texts.Folder/GLaD/GLaD.Comments.html (1997). - Williams, Desha. "The What, Why, and How of Contextual Teaching in a Mathematics Classroom."
*Mathematics Teacher*, Vol. 100(8) (April 2007): 572–75. - Zbiek, Rose Mary. "The Pentagon Problem: Geometric Reasoning with Technology."
*The Mathematics Teacher*, Vol. 89(2) (February 1996): 86–90.

## Undergraduate and Research Mathematics, or Math History

- Chuan, Jen-Chung. "Tutorial on The Geometer's Sketchpad: Dudeney's Decomposition
*.*"*Electronic Proceedings of the Asian Technology Conference on Mathematics*. (1999). - Demirköz, Bilge. "'N' Noktada Uzaklik Toplamari ve Egriler Ailesi."
*Matematik Dünyasi*, Vol. 6(3) (Türk Matematik Dernegi Tarafindan Iki Ayda Bir Yayinlanir: Haziran 1996): 7–10. - Dennis, David. "René Descartes Curve-Drawing Devices: Experiments in the Relations Between Mechanical Motion and Symbolic Language."
*Mathematics Magazine*, Vol. 70(3) (June 1997): 163–74. - Dennis, David, and Jere Confrey. "Drawing Logarithmic Curves with
*Geometer's Sketchpad*: A Method Inspired by Historical Sources," in*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 147–56. - Dwyer, Marlene. "Exploring the Poincaré Models of Hyperbolic Geometry Using
*Geometer's Sketchpad*."*Thesis*, San Jose State University (1996). - Flores, Alfino. "The Kinematic Method and
*The Geometer's Sketchpad*in Geometrical Problems."*International Journal of Computers for Mathematical Learning*, Vol. 3(1) (1998): 1–12. - Hampson, Tony. "Beginning Geometry at College," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 95–104. - Hoehn, Larry. "A Concurrency Theorem and
*Geometer's Sketchpad*."*The College Mathematics Journal*, Vol. 28(2) (March 1997): 129–32. - Hofstadter, Douglas R. "Discovery and Dissection of a Geometric Gem," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 3–14. - Jackiw, Nicholas. "Visualizing Complex Functions with The Geometer's Sketchpad
*.*"*Proceedings of the 6th International Conference on Technology in Mathematics Teaching*, eds. T. Triandafillidis and K. Hatzikiriakou., Volos, Greece: University of Thessaly (2003): 291–99. - Juraschek, Bill. "Investigating Circles in the Poincaré Disk Using
*GSP*."*The College Mathematics Journal*, Vol. 25(2) (March 1994): 145–54. - Kalish, Arthur L. "Extending a Classical Geometry Problem."
*Mathematics Teacher*, Vol. 102(8) (April 2009): 634-638. - Kimberling, Clark. "Geometry in Action: A Discovery Approach Using
*The Geometer's Sketchpad*."*Key College Publishing*(2003). - Kimberling, Clark. "Triangle Centers and Central Triangles."
*Congressus Numerantium*, Vol. 129, Winnipeg: Utilitas Mathematica Publishing (1998). - King, James R. "An Eye for Similarity Transformations," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider, Washington, D.C.: The Mathematical Association of America (1997): 109–20. - "Mathematics Profiles: The University of Georgia."
*Syllabus*, Vol. 4(28) (May–June 1993): 15–16. - Meel, David E., and Thomas A. Hern. "Tool Building: Web-based Linear Algebra Modules."
*Journal of Online Mathematics and its Applications*(May 2005). - Meza Cascante, Luis Gerardo. "Enseñanza del cálculo diferencial e integral con apoyo del programa
*Geometer’s Sketchpad*."*Comunicación*, Vol. 11(1), Año 20. Cartago, Costa Rica (1999). - Olive, John. "Creating Airfoils from Circles: The Joukowski Transformation," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 169–77. - Parks, James M. "Identifying Transformations by their Orbits," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 105–108. - Rosenberg, S., M. Spillane, and D. B. Wulf. "Heron Triangles and Moduli Spaces,"
*Mathematics Teacher*, Vol. 101(9) (May 2008): 656-663. - Schattschneider, Doris. "Visualization of Group Theory Concepts with Dynamic Geometry Software," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 121–28. - Scher, Daniel. "Demystifying ei*pi."
*International Journal of Computers for Mathematical Learning*, Vol. 3 (1999): 275–78. - Smith, Alvy Ray. "Infinite Regular Hexagon Sequences on a Triangle."
*Experimental Mathematics*, Vol. 9(3) (November 2000): 397–406.

## Sketchpad & Curriculum Design, Pre-Service, In-Service, and Assessment

- Berglund, Jorgen. "Creating Mathematical Experience in the Classroom."
*Journal of Online Mathematics and its Applications*(September 2005). - Chazan, Daniel, and Michal Yerushalmy. "Charting a Course for Secondary Geometry," in
*Designing Learning Environments for Developing Understanding of Geometry and Space*, eds. Richard Lehrer and Daniel Chazan., Mahwah, New Jersey: Lawrence Erlbaum Associates (1998): 67–90. - De Villiers, Michael D. "The nine-point conic: a rediscovery and proof by computer."
*International Journal of Mathematical Education in Science and Technology*, Vol. 37(1) (2006): 7–14. - Flewelling, Gary, with William Higginson.
*A Handbook on Rich Learning Tasks*, Kingston, Ontario: Queens University Press (2000). - Foletta, Gina. "One Approach to Integrating Dynamic Geometry into a Geometry Course for Middle-Grades Teachers: Transformational Perspectives."
*Proceedings of the National Conference on Inquiry-Based Geometry Throughout the Secondary Curriculum*, Northfield, Minnesota: St. Olaf College (1998): 53–59. - Galindo, Enrique. "Assessing Justification and Proof in Geometry Classes Taught Using Dynamic Software."
*The Mathematics Teacher*, Vol. 91(1) (January 1998): 76–82. - Goldenberg, E. Paul, Albert A. Cuoco, and June Mark. "A Role for Geometry in General Education," in
*Designing Learning Environments for Developing Understanding of Geometry and Space*, eds. Richard Lehrer and Daniel Chazan, Mahwah, New Jersey: Lawrence Erlbaum Associates (1998): 3–44. - Gorini, Catherine A. "Implications of Technology for Teaching Geometry."
*Proceedings of the National Conference on Inquiry-Based Geometry Throughout the Secondary Curriculum*, Northfield, Minnesota: St. Olaf College (1998): 60–68. - Groman, Margaret W. "Integrating
*The Geometer's Sketchpad*into a Geometry Course for Secondary Education Mathematics Majors."*Association of Small Computer Users in Education (ASCUE) Summer Conference Proceedings*, North Myrtle Beach (1996). - Jiang, Zhonghong, and Edwin McClintock. "Using
*The Geometer's Sketchpad*with Preservice Teachers," in*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 129–36. - Jiang, Zhonghong. "Developing Preservice Teachers' Mathematical Reasoning and Proof Abilities in
*The Geometer's Sketchpad*Environment."*PME-NA XXIV: Proceedings of the 24th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*, Columbus, Ohio: ERIC (2002): 717–29. - Kantrov, Ilene. "Assessing Students' Mathematics Learning."
*Education Development Center*(2000). - Langford, William, Robert Long, and Douglas McDougall. "Mathematics Education for the 21st Century: A Fields-Nortel White Paper.", Toronto, Ontario: The Fields Institute (1997).
- Nickell, Jennifer. "Useful Online and Teacher Production Tools of
*The Geometer's Sketchpad.*"*Mathematics Teacher*, Vol. 100(8) (April 2007): 565–67. - Olive, John. "Teaching and Learning Mathematics with
*The Geometer's Sketchpad.*" New Directions for Learning and Teaching Geometry, Lawrence Erlbaum Associates, (1992). - Orton, Anthony, and Jean Orton. "Introducing Teachers to
*The Geometer's Sketchpad*."*Micromath*(Autumn 1995): 28–32. - Roulet, Geoffrey, Peter Harrison, and Peter Taylor.
*Tomorrow's Mathematics Classroom (Grades 10–12): A Vision of Mathematics Education in Canada.*Toronto, Ontario: Ontario Mathematics Coordinator's Association, (1997). - Rowling, Dawn. "Introducing
*The Geometer's Sketchpad*to the Classroom."*The Global Schoolhouse*(1997). - Steckroth, J. "
*The Geometer's Sketchpad*: a Multi-Faceted Tool for Proof."*National Consortium for Specialized Secondary Schools Journal*, Vol. 10(1) (2004): 15–18. - Suthtakeit, Wanwipa.
*Development of Computer-Based Geometry Lessons*. Dissertation, Ed.D. in Mathematics Education. Bangkok: Srinakarinwirot University. - Swanborough, Michael, and Michael O'Connor. Sketchpad from Scratch, Melbourne, Victoria: The Mathematical Association of Victoria (2003).
- Veloso, Eduardo. Geometria: Temas Actuais, Lisbon: Instituto de Inovacao Educacional (1998).
- Wallace, Edward C., and Stephen E. West.
*Roads to Geometry*, 2nd edition., Upper Saddle River, NJ: Prentice Hall (1998).

## Mathematics Education Research

- Christou, Constantinos, Nicholas Mousoulides, Marios Pittalis, and Demetra Pitta-Pantazi. "Problem Solving and Posing in a Dynamic Geometry Environment."
*Proceedings of the 6th International Conference on Technology in Mathematics Teaching*, eds. T. Triandafillidis and K. Hatzikiriakou. Volos, Greece: University of Thessaly (2003): 125–32. - Crisan, Cosette. "How mathematics teachers' own learning experiences with ICT affects their classroom practices."
*Micromath*, Vol. 21(1) (Spring 2005): 14–16. - De Villiers, Michael D. "An Alternative Approach to Proof in Dynamic Geometry."
*Designing Learning Environments for Developing Understanding of Geometry and Space*, eds. Richard Lehrer and Daniel Chazan. Mahwah, New Jersey: Lawrence Erlbaum Associates (1998): 369–94. - De Villiers, Michael D. "The Role of Proof in Investigative, Computer-Based Geometry: Some Personal Reflections," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 69–70. - Dixon, Juli K.
*English Language Proficiency and Spatial Visualization in Middle School Students' Construction of the Concepts of Reflection and Rotation using*The Geometer's Sketchpad, University of Florida (1995). - Dixon, Juli K. "Computer User and Visualization in Students' Construction of Reflection and Rotation Concepts."
*School Science and Mathematics*, Vol. 7 (1997). - Elchuck, Larry. "The Effects of Software Type...on Geometric Conjecturing Ability."
*Thesis*, Pennsylvania State University (1992). - Goldenberg, E. Paul, and Albert A. Cuoco. "What is Dynamic Geometry?"
*Designing Learning Environments for Developing Understanding of Geometry and Space*, eds. Richard Lehrer and Daniel Chazan. Mahwah, New Jersey: Lawrence Erlbaum Associates (1998): 351–68. - Goldenberg, E. Paul.
*Thinking (and Talking) about Technology in Math Classrooms*. Education Development Center. (2000). - Guimaraes, Luiz Carlos, and Elizabeth Belfort. "Teachers' practices and Dynamic Geometry."
*Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education*, Vol. II. Bergen, Norway (2004): 503–10. - Hanna, Gila. "Proof, Explanation and Exploration: An Overview."
*Educational Studies in Mathematics*, Vol. 44(1–2) (2000): 5–23. - Hannafin, Robert D., Jill D. Burruss, and Catherine Little. "Learning with Dynamic Geometry Programs: Perspectives of Teachers and Learners."
*Journal of Educational Research*, Vol. 94(3) (2001): 132–44. - Hollebrands, Karen. "The Role of a Dynamic Software Program for Geometry in High School Students' Understandings of Geometric Transformations."
*Proceedings of the 24th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*, Columbus, Ohio: ERIC (2002): 695–705. - Hoyles, Celia, and Richard Noss. "Dynamic Geometry Environments: What's the Point?"
*The Mathematics Teacher*, Vol. 87(9) (December 1994): 716–17. - Jackiw, N. and Sinclair, N. “Learning through teaching, when teaching machines: discursive interaction design in Sketchpad.”
*Learning through teaching: Developing mathematics teachers’ knowledge and expertise in practice*, in Leikin, Roza and Zaskis, Rina. Springer (2010): 153-169. - Jackiw, Nicholas. "Mechanism and Magic in the Psychology of Dynamic Geometry."
*Mathematics and the Aesthetic: New Approaches to an Ancient Affinity*, Heidelberg: Springer Verlag (2006). - Jackiw, Nicholas. "Drawing Worlds: Scripted Exploration Environments in
*The Geometer's Sketchpad*," in*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 179–84. - Jackiw, Nicholas, and Nathalie Sinclair. "Understanding and Projecting ICT Trends in Mathematics Education."
*Teaching Secondary Mathematics with ICT*, Berkshire: Open University Press (2004). - Jackiw, Nicholas, and Nathalie Sinclair. "Dragon Play: Microworld design in a whole class context."
*Journal for Educational Research in Computers*, Vol. 27 (2002): 111–45. - Knuth, Eric J., and Christopher E. Hartmann. "Using Technology to Foster Students' Mathematical Understandings and Intuitions."
*Technology-Supported Mathematics Learning Environments*, 67th Yearbook, eds. W. Masalksi and P. Elliot. Reston, Virginia: National Council of Teachers of Mathematics (2005): 151–64. - Koedinger, Kenneth R. "Conjecturing and Argumentation in High-School Geometry Students."
*Designing Learning Environments for Developing Understanding of Geometry and Space*, eds. Richard Lehrer and Daniel Chazan. Mahwah, New Jersey: Lawrence Erlbaum Associates (1998): 319–48. - Kouranou, Maria, and Despina Potari. "Children's Approaches to the Concept of Volume through Dynamic Environments."
*Proceedings of the 6th International Conference on Technology in Mathematics Teaching*, eds. T. Triandafillidis and K. Hatzikiriakou. Volos, Greece: University of Thessaly (2003): 142–50. - Leong, Yew Hoong, and Suat Khoh Lim-Teo. "Guided-Inquiry with the use of
*The Geometer's Sketchpad*."*Proceedings of Second East Asia Regional Conference on Mathematics Education*, Vol. II, eds. Douglas Edge and Yeap Ban Har. Singapore: EARCOME2/SEACME9 (2002): 427–32. - Leong, Yew Hoong, and Suat Khoh Lim-Teo. "Effects of
*The Geometer's Sketchpad*on Spatial Ability and Achievement in Transformation Geometry among Secondary Two Students in Singapore."*Proceedings of Second East Asia Regional Conference on Mathematics Education, Vol. II*, eds. Douglas Edge and Yeap Ban Har. Singapore: EARCOME2/SEACME9 (2002): 433–39. - Marcou, Andri, Constantinos Christou, and Demetra Pitta-Pantazi. "Integration of dynamic geometry software in elementary geometry teaching."
*Proceedings of the 6th International Conference on Technology in Mathematics Teaching*, eds. T. Triandafillidis and K. Hatzikiriakou. Volos, Greece: University of Thessaly (2003): 164–72. - Martínez-Cruz, Armando, and José Contreras. "Engaging Teachers in Research Through Problem Solving and Problem Posing with Dynamic Geometry Software."
*PME-NA XXIV: Proceedings of the 24th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*, Columbus, Ohio: ERIC (2002): 731–37. - McClintock, E., Z. Jiang, and R. July. "Students' Development of Three-Dimensional Visualization in
*The Geometer's Sketchpad*Environment."*PME-NA XXIV: Proceedings of the 24th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*, Columbus, Ohio: ERIC (2002): 739–54. - Peressini, Dominic D., and Eric J. Knuth. "The Role of Technology in Representing Mathematical Problem Situations and Concepts."
*Technology-Supported Mathematics Learning Environments*, 67th Yearbook, eds. W. Masalksi and P. Elliot. Reston, Virginia: National Council of Teachers of Mathematics (2005): 277–90. - Ruthven, Kenneth, Sara Hennessy, and Rosemary Deaney. "Current practice in using dynamic geometry properties to teach about angle."
*Micromath*, Vol. 21(1) (Spring 2005): 9–13. - Scher, Daniel. Students' Conceptions of Geometry in a Dynamic Geometry Software Environment.
*Dissertation, Ph.D. in Mathematics Education, New York: New York University*(2002). - Scher, Daniel. "Lifting the Curtain: The Evolution of The Geometer's Sketchpad."
*The Mathematics Educator*, Vol. 10(2) (Fall 1999): 42–48. - Scher, Daniel. "Square or Not? Assessing Constructions in an Interactive Geometry Software Environment."
*Technology-Supported Mathematics Learning Environments*, 67th Yearbook, eds. W. Masalksi and P. Elliot. Reston, Virginia: National Council of Teachers of Mathematics (2005): 113–24. - Sinclair, Nathalie. "Initiating Problem Posing Through Exploration with Sketchpad."
- Yu, Paul, and Jeffrey Barrett. "Shapes, Actions and Relationships: A Semiotic Investigation of Student Discourse in a Dynamic Geometry Environment."
- Zbiek, Rose Mary. "Using Technology to Show Prospective Teachers the 'Power of Many Points.'"
*Technology-Supported Mathematics Learning Environments*, 67th Yearbook, eds. W. Masalksi and P. Elliot. Reston, Virginia: National Council of Teachers of Mathematics (2005): 291–301.

## Science Education

- Almgren, Robert. "Geometric Biology for the Chicago Public Schools."
*Proceedings of the National Conference on Inquiry-Based Geometry Throughout the Secondary Curriculum*, Northfield, Minnesota: St. Olaf College (1998): 24–34. - Backus, Benjamin T. "The Use of Dynamic Geometry Software in Teaching and Researching Optometry and Vision Science," in
*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research**,*eds. James R. King and Doris Schattschneider., Washington, D.C.: The Mathematical Association of America (1997): 161–68. - Toh Tin-Lam. "On Using
*Geometer's Sketchpad*to Teach Relative Velocity."*Asia-Pacific Forum on Science Learning and Teaching*, Vol. 4(2) (December 2003): N8. - Van Brummelen, Glen. "Computer Animations of Ptolemy's Models of the Motions of the Sun, Moon and Planets."
*Journal for History of Astronomy*, Vol. 29 (1998): 271–74. - Von Friedrich, Wilhelm Dustmann. "Elektronische Arbeitsblätter im Physikunterricht."
*Unterricht Physik*, Vol. 13(69) (2002): 23–26.

## Educational Technology

- Tech Tools: Curriculum.
*Scholastic Administrator*(September 2007). - Finzer, William F. "Network Neighbors."
*The Mathematics Teacher*, Vol. 88(6) (September 1995): 475–77. - Forsythe, S. "Learning Geometry through Dynamic Geometry Software."
*Mathematics Teaching Incorporating Micromath*, 202 (May 2007): 31–36. - Jackiw, N. & Sinclair, N. "Sounds and pictures: dynamism and duality in Dynamic Geometry,"
*ZDM*, Vol 41, Issue 4 (2009): 413-426. - Jackiw, Nicholas, and William F. Finzer. "
*The Geometer's Sketchpad*: Programming by Geometry."*Watch What I Do: Programming by Demonstration*, Cambridge, MA: The MIT Press (1993): 293–308. - Johnston Wilder, Sue, and Peter Johnston Wilder.
*Getting Started with Interactive Geometry Software:*Geometer's Sketchpad*.*, The Association of Teachers of Mathematics (2007). - National Council for Educational Technology.
*Dynamic Geometry*, Coventry, UK (1996). - Ritter, Steven, and Kenneth Koedinger. "An Architecture for Plug-in Tutor Agents."
*Journal of Artificial Intelligence in Education*, Vol. 7(3/4) (1996): 315–47. - Roschelle, Jeremy, and Chris DiGiano. "ESCOT: Coordinating the Influence of R&D and Classroom Practice to Produce Educational Software From Reusable Components."
*Interactive Learning Environments*, Vol. 12(1–2) (June 2004): 73–107. - Roanes-Lozano, Eugenio. "Boosting the Geometrical Possibilities of Dynamic Geometry Systems and Computer Algebra Systems through cooperation."
*Proceedings of ICTMT 5 in Klagenfurt 2001: Technology in Mathematics Teaching*, eds. Manfred Borovcnik and Hermann Kautschitsch. Vienna: Schriftenreihe Didaktik der Mathematik (2002): 335–48. - Schupp, Hans. "Problem Solving via Computer."
*Proceedings of the Technology in Math Teaching '93*(1993). - Ventress, Andy. "Digital Images + Interactive Software = Enjoyable, Real Mathematics Modeling."
*The Mathematics Teacher*, Vol. 101(8) (April 2008): 568-572. - Wingfield, Nick. "The Big Game."
*The Wall Street Journal*, Special Report on Educational Technology (November 17, 1997).

## Software Reviews

- DeTurck, Dennis. "
*The Geometer's Sketchpad*and Cabri-Géometre."*The College Mathematics Journal*, Vol. 24(4) (September 1993): 370–76. - Devaney, Robert L. "
*The Geometer's Sketchpad*(review)."*UME Trends*(May 1992). - De Villiers, Michael D. "
*The Geometer's Sketchpad*(review)."*Pythagoras*, Vol. 30. Mathematical Association of Southern Africa (December 1992): 38–40. - e*valuate - The Digital Evaluation Service.
*The Geometer's Sketchpad Evaluation.*(March 2004). - Field, Cynthia E. "
*The Geometer's Sketchpad*(review)."*InCider/A+*(November 1991). - Hertzberg, Lanny. "Exploring Geometry: Software with an Inductive Approach to Geometry."
*Electronic Learning, Special Edition*(September 1992): 23–24. - Hinders, Duane. "
*The Geometer's Sketchpad*(review)."*The Mathematics Teacher*, No. 5 (May 1992): 392–93. "Im Dreieck krabbeln: Dynamische Software für Geometrie."

*MAC Up*(November 1991): 64–66.- Kantrowitz, Betty.
*"The Geometer's Sketchpad*(review)."*The Computing Teacher*(February 1992): 45–49. - Knights, Emma.
*The Geometer's Sketchpad*v4 Evaluation.*Schoolzone Evaluation Service*(March 24, 2004). - Levy, Benjamin. "Software Twins."
*Consortium*, Vol. 47 (Fall 1993). - Martin, Mike. "Window on Resources:
*The Geometer's Sketchpad*(review)."*Mathematics Teaching in the Middle School*(May 1996): 836–38. - Olive, John. "
*The Geometer's Sketchpad*Version 2.0 (review)."*The Mathematics Educator*, Vol. 4(1). University of Georgia Mathematics Education Student Association (Winter 1993): 21–23. - Rothstein, Edward. "Technology Connections: Software Puts Joy Back in Mathematics."
*The New York Times*(November 10, 1997). - Seiter, Charles, and Mary S. Toth. "
*The Geometer's Sketchpad*(review)."*Macworld*(November 1991). - Sinclair, Margaret, Ysbrand de Bruyn, Gila Hanna, and Peter Harrison. "Cinderella and
*The Geometer's Sketchpad*."*Canadian Journal of Science, Mathematics and Technology Education*, Vol. 4(3) (July 2004): 423–37. - Stanton, David. "Software Tools For Exploring Math."
*Electronic Learning*(November–December 1991): 34. - Statt, Paul. "The Old Geometer."
*InCider/A+*(July 1991): 22. - St. Onge, Julie. "A Dynamic Way of Learning."
*Curriculum Product News*(January 1992): 28–9. - TEEM: Teachers Evaluating Educational Multimedia.
*The Geometer's Sketchpad: Content Evaluation and Classroom Evaluation.*(2004). - Troy, Beth. "
*The Geometer's Sketchpad*Update (review)."*The Computing Teacher*(December/January 1993–94): 45–48.

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