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2016
There is a widespread perception that mathematics is objective and value-free and that values only enter into mathematics subjectively in the personal preferences of mathematicians. In this paper I argue that, on the contrary, mathematics itself is value-laden; imbued with epistemological, ontological, aesthetic and ethical values.
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There is a widespread perception that mathematics is objective and value-free and that values only enter into mathematics subjectively in the personal preferences of mathematicians. In this paper I argue that, on the contrary, mathematics itself is value-laden; imbued with epistemological, ontological, aesthetic and ethical values.
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The Cultural Value of Mathematics
The Mathematics Teacher, 1929A famous English mathematician and philosopher has defined mathematics as a science in which “we never know what we are talking about, nor whether what we say is true or false.”- In all seriousness, there is some truth in this definition, but one may also maintain that it contains some exaggeration.
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The Cultural Value of Mathematics
The Mathematics Teacher, 1923When one receives good news or feels the pleasant thrill after having accomplished a difficult task, his first impulse is to rush to some one and tell him of his new found pleasure. And so it is with me. I have had many happy hours and have experienced a peculiar pleasure which I know I could not have experienced had I not applied myself in the study ...
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Values in the mathematics classroom
Educational Philosophy and Theory, 2019Values, moral values and democratic values are attracting the attention of education researchers in general and mathematics education researchers in particular.
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The Mathematics Teacher, 1922
“The intellect never slumbers,” but is ever searching for knowledge and truth. It is ever groping about in the darkness of error and of doubt, and if truly honest in its search, uses every light which an all wise and loving Master has given it to detect the slightest flaw in every finite problem which is presented to it.
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“The intellect never slumbers,” but is ever searching for knowledge and truth. It is ever groping about in the darkness of error and of doubt, and if truly honest in its search, uses every light which an all wise and loving Master has given it to detect the slightest flaw in every finite problem which is presented to it.
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The value of mathematical talk
Practical Pre-School, 2003Talk is an important link between doing something and knowing something. Talking helps us make sense of what we see and hear. Through talking, new ideas become integrated with established ideas. But we all need something to talk about! Engaging in rich hands-on activities underpins children's developing vocabulary and communication skills.
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Mathematics, Educational Values, and Intellectual Values
2018In this chapter I emphasize my conception that the mathematics teacher should also be an educator and not simply a person who covers the course syllabus. I discuss the moral value people call “the golden rule.” I also discuss the educational value of procedures.
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The Values of Mathematical Culture
1991David Lancy (1983) in his major cross-cultural study in Papua New Guinea gives us a helpful introduction to the analysis of the values of Mathematical culture. He developed a stage theory to account for the differences he found in his research and compared his stages with those of Piaget. He first of all came to the conclusion that, regarding cognitive
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The Beauty and Value of Mathematics
The Mathematics Teacher, 2017Some people like mathematics because it is beautiful. Others like mathematics because it is useful. Still others like mathematics because it is true. Mathematics Teacher (MT) is a forum for all. If Archimedes's circles move you, if you find comfort in students' making sense of matrix multiplication, or if you are intrigued by how our minds use repeated
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