Mathematical modeling is one of the competencies that have been focused in the curriculum of many countries in the world such as Australia, Germany, Singapore and USA. In Vietnam, the Mathematics curriculum promulgated in 12/2018 clarified that modeling competency would be one of the domain-specific competencies that contribute to the formation and development of the mathematical competency in particular, and numeracy in general. In the new mathematical curriculum, the topic of natural number remains central and throughout accounting for more than 50% of the knowledge in the primary curriculum and the first half of grade 6 as the foundation to build new sets of numbers which are not mentioned in the primary curriculum. In this paper, we present a study on modeling competencies and transformational pedagogical analysis of specific learning tasks based on real-life context included in the German, Singapore and Vietnamese curricula, in order to make recommendations in teaching to develop the model competency for the topic of natural numbers by model methodDOI: 10.18173/2354-1075.2019-0146