Sofia, Bulgaria

Methodology of Teaching Mathematics and Informatics

Методика на обучението по математика и информатика

Table of contents

⇑Methodology of Teaching Mathematics and Informatics at Sofia University "St. Kliment Ohridski"

Language: Bulgarian Studies in Bulgarian
Subject area: teacher training and education science
University website: www.uni-sofia.bg/
Programme: Methodology of Teaching Mathematics and Informatics
Type: PhD/Doctoral programme
Academic degree: Doctor (доктор)
Duration: 3–5 years

⇑Definitions and quotes

Informatics
Informatics is a branch of information engineering. It involves the practice of information processing and the engineering of information systems, and as an academic field it is an applied form of information science. The field considers the interaction between humans and information alongside the construction of interfaces, organisations, technologies and systems. As such, the field of informatics has great breadth and encompasses many subspecialties, including disciplines of computer science, information systems, information technology and statistics. Since the advent of computers, individuals and organizations increasingly process information digitally. This has led to the study of informatics with computational, mathematical, biological, cognitive and social aspects, including study of the social impact of information technologies.
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
Methodology
Methodology is the systematic, theoretical analysis of the methods applied to a field of study. It comprises the theoretical analysis of the body of methods and principles associated with a branch of knowledge. Typically, it encompasses concepts such as paradigm, theoretical model, phases and quantitative or qualitative techniques.
Mathematics
Mathematical development in England was at a low ebb in the early decades of the nineteenth century, with Cambridge stagnating in the shadow of Newton, who had produced his mathematics nearly a century and a half earlier. This dead hand of tradition, which stifled much initiative and originality, was in sharp contrast to the situation in France.
D. Mary Cannell, "George Green Mathematician and Physicist 1793-1841: The background to his life and work" p. xxviii (second edition, 2001).
Mathematics
Who has studied the works of such men as Euler, Lagrange, Cauchy, Riemann, Sophus Lie, and Weierstrass, can doubt that a great mathematician is a great artist? The faculties possessed by such men, varying greatly in kind and degree with the individual, are analogous with those requisite for constructive art. Not every mathematician possesses in a specially high degree that critical faculty which finds its employment in the perfection of form, in conformity with the ideal of logical completeness; but every great mathematician possesses the rarer faculty of constructive imagination.
E. W. Hobson, Presidential Address British Association for the Advancement of Science (1910) Nature Vol. 84 p. 290 as quoted by Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath's Quotation-book (1914) p. 184.
Methodology
There is no greater fallacy than the belief that aims and purposes are one thing, while methods and tactics are another, This conception is a potent menace to social regeneration. All human experience teaches that methods and means cannot be separated from the ultimate aim. The means employed become, through individual habit and social practice, part and parcel of the final purpose; they influence it, modify it, and presently the aims and means become identical.
Emma Goldman (1923) My Disillusionment with Russia
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