It is quite common for mathematicians to refer to theorems or definitions as generalizations of others. Although one gets a very good sense of what the term means by doing enough mathematics, it is not a term that mathematicians typically formally define. Indeed, with a little consideration, it can be seen that the task of giving a proper and comprehensive definition is highly non-trivial, because there are various different applications of the term in widely disparate contexts. Nonetheless, the use of the term is rarely, if ever controversial within the mathematical community. This suggests that there is something, albeit difficult to articulate, that mathematicians intuitively recognize the disparate cases to have in common. The primary g...
In this pilot, opportunities to engage in mathematical generalization were identified in a section o...
I have long promoted the conjecture that expressing generality lies at the heart of school algebra. ...
Generalization has been a major focus of curriculum standards and research efforts in mathematics ed...
The purpose of this paper is to encourage mathematics educators to refine their notions of generaliz...
Generalization is a critical aspect of doing mathematics, with policy makers recommending that it be...
The problems of geometry and mechanics have driven forward the generalization of the concepts of num...
A prized property of theories of all kinds is that of generality, of applicability or least relevanc...
The process of generalization in mathematics was identified by mathematics education and educational...
Certain concepts in mathematics were not invented only to solve new problems; their aim was mainly t...
When learners are able to abstract the properties of a concept and apply them onto a different conte...
Graduation date:2017Generalisation is a key component of mathematical activity. Mathematicians often...
The meaning of the word generalization is so general that we can nd its occurrences in almost every ...
Tsang and Williams offer some good and provocative ideas in their critique of our earlier article on...
Tsang and Williams offer some good and provocative ideas in their critique of our earlier article on...
Generalization as a mathematics activity takes significant place within the research on the learning...
In this pilot, opportunities to engage in mathematical generalization were identified in a section o...
I have long promoted the conjecture that expressing generality lies at the heart of school algebra. ...
Generalization has been a major focus of curriculum standards and research efforts in mathematics ed...
The purpose of this paper is to encourage mathematics educators to refine their notions of generaliz...
Generalization is a critical aspect of doing mathematics, with policy makers recommending that it be...
The problems of geometry and mechanics have driven forward the generalization of the concepts of num...
A prized property of theories of all kinds is that of generality, of applicability or least relevanc...
The process of generalization in mathematics was identified by mathematics education and educational...
Certain concepts in mathematics were not invented only to solve new problems; their aim was mainly t...
When learners are able to abstract the properties of a concept and apply them onto a different conte...
Graduation date:2017Generalisation is a key component of mathematical activity. Mathematicians often...
The meaning of the word generalization is so general that we can nd its occurrences in almost every ...
Tsang and Williams offer some good and provocative ideas in their critique of our earlier article on...
Tsang and Williams offer some good and provocative ideas in their critique of our earlier article on...
Generalization as a mathematics activity takes significant place within the research on the learning...
In this pilot, opportunities to engage in mathematical generalization were identified in a section o...
I have long promoted the conjecture that expressing generality lies at the heart of school algebra. ...
Generalization has been a major focus of curriculum standards and research efforts in mathematics ed...