When writing geometric proofs, it's important to have a good understanding of the definitions (like bisection, which is when one line cuts another line into two congruent parts), properties, and theorems used in geometry. A flow proof is one of the ways that a proof can be formatted. The...
In the first interview, they evaluated and scored six proofs of elementary theorems written by undergraduate students in a discrete mathematics or geometry course, assigned each proof a score out of 10 points, and responded to questions about the characteristics they value in a well-written proof ...
both the statements of the theorems and the ideas behind their proofs, before the statement and proof are formalized in more abstract terms. In addition, many applications of number theory are explained in detail throughout the text, including some that have rarely (if ever) appeared in ...
Bill Thurston’s article “On proof and progress in mathematics“; Henri Poincare’s “Intuition and logic in mathematics“; this speech by Stephen Fryon the analogous phenomenon that there is more to language than grammar and spelling; and ...
about finite sets in the plane. Or Erdo˝s’s proof of Bertrand’s postulate, from his first publication. It goes on and on. There are thirty short chapters organized into five general areas: number theory, geometry, analy- sis, combinatorics, and graph theory. Some of the chapters are...
each consisting of two sessions: a lecture on mathematical proofs of the Pythagorean theorem and evaluations of the beauty of the proofs of the theorem.In Experiment 1, the subjects in Group D attended a lecture in which two proofs that most people view positively were explained and evaluated ...