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Ethics in mathematics is an emerging field of applied ethics, the inquiry into ethical aspects of the practice and applications of mathematics. It deals with the professional responsibilities of mathematicians whose work influences decisions with major consequences, such as in law, finance, the military, and environmental science . [ 1 ]
He is best known for his books analysing scientific knowledge from a social and ethical perspective, focussing on issues of quality. He is the co-author (with Silvio Funtowicz) of the NUSAP notational system and of Post-normal science. He is currently an Associate Fellow at the Institute for Science, Innovation and Society, University of Oxford.
Mathematics for social justice is a pedagogical approach to mathematics education that seeks to incorporate lessons from critical mathematics pedagogy and similar educational philosophies into the teaching of mathematics at schools and colleges. The approach tries to empower students on their way to developing a positive mathematics identity ...
The linkage of mathematics and sociology here involved abstract algebra, in particular, group theory. [12] This, in turn, led to a focus on a data-analytical version of homomorphic reduction of a complex social network (which along with many other techniques is presented in Wasserman and Faust 1994 [ 13 ] ).
In mathematics education, ethnomathematics is the study of the relationship between mathematics and culture. [1] Often associated with "cultures without written expression", [2] it may also be defined as "the mathematics which is practised among identifiable cultural groups". [3]
A formal philosophy of ethical calculus is a development in the study of ethics, combining elements of natural selection, self-organizing systems, emergence, and algorithm theory. According to ethical calculus, the most ethical course of action in a situation is an absolute, but rather than being based on a static ethical code, the ethical code ...
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
Paul Ernest is currently emeritus professor of the philosophy of mathematics education at University of Exeter, UK. [1] He is best known for his work on philosophical aspects of mathematics education, which includes establishing the subfield entitled the philosophy of mathematics education, and for his contributions to developing a social constructivist philosophy of mathematics.