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We identify two ways of introducing negative numbers. In the first one, a totally ordered set (L, $\prec $) is presupposed, an element 0 in L is arbitrarily taken, and a number a is negative when a 0. In the second one, a negative number is defined by the formula a + (−a) = 0. From a mathematical perspective, the first method involves the idea of a totally ordered group (G,+, 0,<), while the second...
The paper reports on a design and research project conducted in a secondary school on the Indonesian island Sumba. The aim of this project is to foster students’ understanding in learning mathematics and, consequently, to educate them better for their career opportunities. The essential idea is thereby to use the introduction of negative numbers and arithmetic operations on integers as a backgroundmotivating...
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