Search results
Results from the WOW.Com Content Network
Mathematics Portal. v. t. e. In contemporary education, mathematics education —known in Europe as the didactics or pedagogy of mathematics —is the practice of teaching, learning, and carrying out scholarly research into the transfer of mathematical knowledge.
e. Foundations of mathematics are the logical and mathematical framework that allows the development of mathematics without generating self-contradictory theories, and, in particular, to have reliable concepts of theorems, proofs, algorithms, etc. This may also include the philosophical study of the relation of this framework with reality.
An Introduction to the Philosophy of Mathematics is a textbook on the philosophy of mathematics focusing on the issue of mathematical realism, i.e. the question of whether or not there are mathematical objects, and mathematical explanation. [1][2] Colyvan described his intention for the book as being a textbook that " [gets] beyond the first ...
e. Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities. Major themes that are dealt with in philosophy of mathematics include: Reality: The question is whether mathematics is a pure product of human mind or whether it has some reality by itself.
Mathematical viewpoint that existence proofs must be constructive. In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order to prove that an example exists. Contrastingly, in classical mathematics, one can prove the existence of a mathematical ...
In it, she argues that the philosophy of mathematics affects the teaching of mathematics even when the teacher's philosophical principles are implicit and unexamined. Recognition. In 2012, Gold became the winner of the 22nd Louise Hay Award of the Association for Women in Mathematics for her contributions to mathematics education.
A number of mathematics teachers have implemented Lakatos' method of proofs and refutations in the classroom, when teaching other mathematical topics. [2] The method has been applied to the analysis and presentation of problem solving in mechanics by high school to college level students. [3]
Introduction to Mathematical Philosophy. Introduction to Mathematical Philosophy is a book (1919 first edition) by philosopher Bertrand Russell, in which the author seeks to create an accessible introduction to various topics within the foundations of mathematics. According to the preface, the book is intended for those with only limited ...