Identification and Analysis of Pedagogical Techniques in Decartes' La Géométrie

• Other Authors: Dean, Amanda Saxon (authoraut)
• Format: Others
• Language: English; English
• Published: Florida State University
• Subjects: Education
• Online Access: http://purl.flvc.org/fsu/fd/FSU_migr_etd-0062

Much research has been conducted about the philosophy and mathematical writings of René Descartes, but that which focuses on pedagogy does so in a holistic manner. The present study uses a systematic approach to identify pedagogical techniques within each sentence of Descartes' La Géométrie. Next, the study provides an analysis of La Géométrie based on the techniques identified, their frequencies, and patterns of use within the text. The results of this analysis indicate that Descartes placed a high value on the use of demonstration, particularly in conjunction with deductive reasoning and multiple representations; that Descartes believed his method of approaching mathematical problems was superior to other methods; and that Descartes was in fact concerned with whether his readers understood his ideas or not. === A Thesis submitted to the School of Teacher Education in partial fulfillment of the requirements for the degree of Master of Science. === Degree Awarded: Fall Semester, 2010. === Date of Defense: October 13, 2010. === Mathematics, Mathematics Education, René Descartes La Géométrie, Pedagogical Techniques, History of Mathematics, Seventeenth Century Mathematics, Geometry, Analytic Geometry === Includes bibliographical references. === Kathleen M. Clark, Professor Directing Thesis; Elizabeth Jakubowski, Committee Member; Leslie Aspinwall, Committee Member.