Abstract
The well-known from the History of Mathematics “hundred fowls problem” is the topic of this paper. Our main aim is to analyze the historical background of the problem and to present some ways of solving it, which have different characteristics, and each one represents a particular strategy. The interaction of Eastern and Western mathematics and the combination of different fields like Algebra and Technology in order to solve the problem has been highlighted. The study of the specific topic revealed some teaching perspectives, which we note at the end together with some concluding remarks. This paper might have implications in future research in the field of indeterminate analysis but also in Mathematics Education.
Highlights
In the general case, solving a system of equations requires as many equations as there are unknowns
In the third century A.D., Diophantus of Alexandria attempted a systematic study, and nowadays, indeterminate equations are often called Diophantine equations (Keng, 1982, p. 276), Diophantus did not deal with all possible forms, probably because he viewed some of them too easy (Millman et al, 2015, p. 62)
With the plethora of ways to solve it, it underlines the crucial role of Mathematics through its interaction with other fields and aspects such as History and Technology
Summary
The Historical Background of a Famous Indeterminate Problem and Some Teaching Perspectives. | ABSTRACT The well-known from the History of Mathematics “hundred fowls problem” is the topic of this paper. Our main aim is to analyze the historical background of the problem and to present some ways of solving it, which have different characteristics, and each one represents a particular strategy. The interaction of Eastern and Western mathematics and the combination of different fields like Algebra and Technology in order to solve the problem has been highlighted. The study of the specific topic revealed some teaching perspectives, which we note at the end together with some concluding remarks. This paper might have implications in future research in the field of indeterminate analysis and in Mathematics Education. The hundred fowls problem, Indeterminate Analysis, Diophantine equations, History of Mathematics, Mathematics Education
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