Category Archives: Euclis’s Concepts of Number

The dead hand of Euclid on teaching fractions

The history of the Euclid concept of proportions as taught in Euclid’s Elements is sketched below.  This is based on sources cited in the previous post and additional references below. Late ancient world they couldn’t follow Euclid on proportions so … Continue reading

Posted in Center for Improving Learning of Fractions, Difficulties Learning Fractions, Euclid's Elements, Euclis's Concepts of Number, Fractions, Object Oriented Rational Number, Oxford Department of Education, Proportion and Magnitude, Uncategorized, University Education Departments | 2 Comments

Euclid’s confusions about number types are the pedagogy of 2012.

Euclid’s Elements present a somewhat confused presentation of the concept of number, proportion and magnitude from the modern perspective.  Euclid lacks the sharp clarity of Grassmann, Dedekind, Peano and others who crafted the modern concepts of natural number, rational number … Continue reading

Posted in David E. Joyce, Euclid's Elements, Euclis's Concepts of Number, Proportion and Magnitude | 1 Comment