منابع مشابه
Abstraction in Mathematics Learning
ion in Mathematics Learning Michael Mitchelmore and Paul White Abstraction has been a frequent discussion topic since the days of Aristotle and Plato. Constructivist theories often espouse the notion of levels of abstraction. Hiebert and Lefevre (1986, pp. 4-5) put it this way:ion has been a frequent discussion topic since the days of Aristotle and Plato. Constructivist theories often espouse t...
متن کاملAbstraction in Mathematics and Mathematics Learning
ION IN MATHEMATICS What does it mean to say that mathematics is “abstract”? Mathematics is a self-contained system separated from the physical and social world: Mathematics uses everyday words, but their meaning is defined precisely in relation to other mathematical terms and not by their everyday meaning. Even the syntax of mathematical argument is different from the syntax of everyday lang...
متن کاملAnxiety and Abstraction in Nineteenth-Century Mathematics
The first part of this paper surveys the current literature in the history of nineteenth-century mathematics in order to show that the question “Did the increasing abstraction of mathematics lead to a sense of anxiety?” is a new and valid question. I argue that the mathematics of the nineteenth century is marked by a growing appreciation of error leading to a note of anxiety, hesitant at first ...
متن کاملReducing Abstraction: the Case of Elementary Mathematics
ion is a complex concept that has many faces. As such, in a general context it has attracted the attention of many psychologists and educators (e.g., Beth and Piaget, 1966). In the more particular context of mathematics education research, abstraction has been discussed from a variety of viewpoints (cf. Tall, 1991; Noss and Hoyles, 1996; Frorer, Hazzan and Manes, 1997). There is no consensus wi...
متن کاملA Study on the Ambiguity of Term of ‘abstraction’ in Generalization in Mathematics Education
This paper aim that wish to clearly the generality is not derived from ‘aliquid absrahere’ [abstract from some things] and from only ‘ab aliquibus abstrahere’ [abstract something] (Kant, 1770). In other words, generality isn’t derived from concept itself and from only construction of concepts. In English (German, French, and etc.), term of ‘abstraction’ has dual meanings so ambiguity, but the d...
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ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences
سال: 2003
ISSN: 0962-8436,1471-2970
DOI: 10.1098/rstb.2003.1316