Blagoevgrad, Bulgaria

Methodology of Teaching Mathematics

Методика на обучението по математика

Table of contents

⇑Methodology of Teaching Mathematics at South-West University "Neofit Rilski"

Language: Bulgarian Studies in Bulgarian
Subject area: teacher training and education science
University website: www.swu.bg
Programme: Methodology of Teaching Mathematics
Type: PhD/Doctoral programme
Academic degree: Doctor (доктор)
Duration: 3–4 years

⇑Definitions and quotes

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
The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.
Immanuel Kant, Critique of Pure Reason (1781) Tr. Max Müller (1881) p. 610.
Mathematics
A marveilous newtrality have these things mathematicall and also a strange participation between things supernaturall, imortall, intellectuall, simple and indivisible, and things naturall, mortall, sensible, compounded and divisible.
John Dee, The mathematicall praeface to the Elements of geometrie of Euclid of Megara (1570) as editor of Euclid's Elements, translated by Henry Billingsley.
Methodology
Beware of Methodologies. They are a great way to bring everyone up to a dismal, but passable, level of performance, but at the same time, they are aggravating to more talented people who chafe at the restrictions that are placed on them.
Joel Spolsky (2001) "Big Macs vs. The Naked Chef" on: joelonsoftware.com blog, January 18, 2001.
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