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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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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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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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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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History of Mathematics in Mathematics Education
2013This paper surveys central justifications and approaches adopted by educators interested in incorporating history of mathematics into mathematics teaching and learning. This interest itself has historical roots and different historical manifestations; these roots are examined as well in the paper.
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The mathematical education of mathematics educators in doctoral programs in mathematics education
2001John Dossey, Glenda Lappan
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