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Mathematical education and democracy
Educational Studies in Mathematics, 1990Is it possible to develop the content and form of mathematical education in such a way that it may serve as a tool of democratization in both school and society? This question is related to two different arguments. The social argument of democratization states: (1) Mathematics has an extensive range of applications, (2) because of its applications ...
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Logic and Intuition in Mathematics and Mathematical Education
2007A good mathematics teacher is not only a good mathematician, but also a good teacher. In other words, a good mathematics teacher is not only able to solve mathematical problems, (s)he is also able to explain how mathematical problems are solved. Many mathematicans (and mathematics teachers) are, however, able to solve mathematical problems without ...
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Classics in Mathematics Education: Mathematics and Liberal Education
The Mathematics Teacher, 1968The subject of my address today is the consideration of the part which the elements of mathematics should play in a liberal education for the generality of boys up to the age of nineteen. The boys I mean are, of course, those who are capable of a liberal education.
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International Mathematical Education: Mathematics Education in Kenya
The Mathematics Teacher, 1968Educators in a developing country who are interested in improving their methods and curricula must, of necessity, build upon the work that has been done in other parts of the world. At the same time it is important that they revise and adapt foreign material to their own needs and culture. The present article describes progress in mathematics education
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Variables in Mathematics Education
2011This paper suggests that consistently referring to variables as placeholders is an effective countermeasure for addressing a number of the difficulties students' encounter in learning mathematics. The suggestion is supported by examples discussing ways in which variables are used to express unknown quantities, define functions and express other ...
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Mathematics Education is Undetermined
2011In order to understand what might be meant by ‘mathematics education is undetermined’, let me start by saying a few words about ‘mathematics’, ‘mathematics education’ and ‘undetermined’.2 I consider ‘mathematics’ an open concept, which, depending on the discourse one uses, might acquire many different possible meanings. In Philosophical Investigations,
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Mathematical education versus critical education
Educational Studies in Mathematics, 1985This paper concentrates upon the relationship between mathematical education (ME) and critical education (CE) connected with the Frankfurt School and Critical Theory. To make the discussion as precise as possible a distinction is made between three alternatives in ME: Structuralism, pragmatism, and process-orientation. These alternatives are related to
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Constructivism, mathematics and mathematics education
Educational Studies in Mathematics, 1989Learning theories such as behaviourism, Piagetian theories and cognitive psychology, have been dominant influences in education this century. This article discusses and supports the recent claim that Constructivism is an alternative paradigm, that has rich and significant consequences for mathematics education.
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Instrumentalization in Mathematics Education
2018“To instrumentalize” is generally defined1 as “to perform (a piece of music) using a musical instrument or instruments” or “To arrange or score (a piece of music) for instruments, especially for an orchestra,” or “To make or render (something) instrumental to accomplishing a purpose or result; to use as a means to an end.” In mathematics education ...
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