---

Abstract: The main purpose of this paper is introducing modelling and application as a research domain in mathematics education through reviewing related literature. The first purpose of this review is to give a more clear meaning of modelling and application, and base on that, makes the distinction between modelling in mathematics education & modelling in other scientific domains. There are some other terms like Numeracy Quantitative literacy Mathematization and Word Problems that with some tolerance, are taken as equivalent term to modelling. However, modelling has salient differences with every one of them. Second purpose of this paper, is to introduce modelling cycle and its steps. Third, some researches who are working in the domain of modelling and application will be reviewed and then methodology and results of one of them will be mentioned. Finally, several open research questions for future research in the domain of modeling and application will be announced.    

---

This study is to explain the criteria and indicators of the ideal form of school mathematics curriculum in Iran. For this purpose, the national documents of the education system in Iran and related research findings to school mathematics curriculum were examined. The Akker’s ten-component model for the curriculum was adapted as the framework for this study. In order to ensure the balance and effectiveness of the curriculum, in this framework, each of the components address a specific question. By answering them, criteria for the components of the school mathematics curriculum were presented. The research method of the study was document analysis and qualitative content analysis in the form of inferential. To validate the presented criteria, a number of mathematics educators and curriculum specialists participated in this study. Finally, for each of the components introduced in the framework, the criteria and indicators of the ideal form of mathematics curriculum were determined.