Shumen, Bulgaria

Methodology of Teaching Mathematics and Informatics

Методика на обучението по математика и информатика

Table of contents

⇑Methodology of Teaching Mathematics and Informatics at Konstantin Preslavsky University of Shumen

Language: Bulgarian Studies in Bulgarian
Subject area: teacher training and education science
University website: www.shu.bg/
Programme: Methodology of Teaching Mathematics and Informatics
Type: PhD/Doctoral programme
Academic degree: Doctor (доктор)
Duration: 3–4 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.
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
Mathematics
I united the majority of well-informed persons into a club, which we called by the name of the Junto, and the object of which was to improve our understandings. ... The first members of our club were...
Thomas Godfrey, a self-taught mathematician, and afterwards inventor of what is now called Hadley's dial; but he had little knowledge out of his own line, and was insupportable in company, always requiring, like the majority of mathematicians that have fallen in my way, an unusual precision in everything that is said, continually contradicting, or making trifling distinctions—a sure way of defeating all the ends of conversation. He very soon left us.
Benjamin Franklin, The Life and Miscellaneous Writings of Benjamin Franklin (1839)
Mathematics
Mathematics is a versatile art; it can be applied to widely different purposes. Math has no morality; it does not care what it counts or what it proves.
Brian Stableford, Ashes and Tombstones, in Peter Crowther (ed.) Moon Shots (1999), reprinted in David G. Hartwell (ed.) Year's Best SF 5 (2000), p. 412
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