Abstract: This study aims at investigating into the general law of the develop-ment of proportional reasoning and internal cognitive structure in Chi-nese children between 4 and 14 years of age. Results: (1) seven stageshad been differentiated through multiple statistical method of cluster analysisof ordered sample and factor analysis with SPSS programs; (2) the gene-ral law indicated: the developmental advance is from one-dimensional,additionally qualitative operation to two-dimensional, multiplicationallyquantitative operation; from one-level integration of additional operation,to two-level integration of operation of the functional relations of anyinteger-multiple equal proportion, finally to top-level integration of ope-ration of the functional relations of non-integer-multiple non-equal pro-portion in the level of proposition. The development of proportional rea-soning is a gradually constructed and integrated process of the four-structure-relations from low to high level; (3)comparing the rate of success betweenChinese and Canadian 11--14 year old children showed that the teachingon ratio and proportion in China was very effective.

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