ERIC Number: ED096174
Record Type: Non-Journal
Publication Date: 1938
Reference Count: N/A
The Nature of Proof. A Description and Evaluation of Certain Procedures Used in Senior High School to Develop an Understanding of the Nature of Proof. National Council of Teachers of Mathematics, Yearbook 13 . Reprint 1966.
Fawcett, Harold P.
This yearbook focuses on the teaching of a geometry course emphasizing critical thinking and methods of proof rather than on learning a body of theorems. In the first chapter the problem is defined, and its origin and background are discussed. Next the organization of the experimental situation is described. Chapter 3 gives numerous illustrations of procedures and classroom incidents. The students, with guidance when appropriate, determined undefined terms, definitions, and assumptions. No textbook was used, and students were given much individual responsibility. Much work was devoted to studying the use of logical arguments in nonmathematical situations. Chapter 4 summarizes much of the geometric content studies in the course. Chapter 5 is devoted to evaluation, which consisted of tests, evidence of transfer to other situations, and reports by pupils, parents, teachers, and other observers. After a short summary, the appendix contains some tests used and samples of student essays on proof. (LS)
Descriptors: Action Research, Classroom Research, Critical Thinking, Geometry, Instruction, Logical Thinking, Mathematics Education, Reference Materials, Research, Secondary School Mathematics, Student Centered Curriculum, Student Motivation, Teaching Methods, Yearbooks
National Council of Teachers of Mathematics, Inc., 1906 Association Drive, Reston, Virginia 22091
Publication Type: Reports - Descriptive
Education Level: N/A
Authoring Institution: National Council of Teachers of Mathematics, Inc., Reston, VA.