Research Process of and Agenda for The Rational Number Project: Focus on the Theoretical Framework

Abstract

　　 In Japan, fraction is fought of the 2nd grade and more over.  It is one of the important subject in mathematics education research.  However few precedent literature and studies in Japan about this subject develop curriculum based on any theoretical framework.

　　 Hence, I review and critique The Rational Number Project (RNP), especially their theoretical framework for teaching and learning of the rational number.

　　 And I propose a few agenda for the RNP framework as follows;

(1) How the “mathematical variability” can be ordered?;

(2) How the “perceptual variability” can be ordered and what any other “manipulative aids” can be?;

(3) What kind of teaching and learning can be considered in the any cell of “Matrix”?; and (4) How “Translation system” can be used for the teaching and learning process?