Here you can find several descriptions of MARTE in the form of tutorial  presentations that can help the reader to get into MARTE from different perspectives: 

“MARTE: A New Standard for Modeling and Analysis of Real-Time and Embedded Systems”. by S. Gérard, D. Petriu and J. Medina, This tutorial was presented to the real-time community in the 19th Euromicro Conference on Real-Time Systems (ECRTS 07), Pisa, Italy, July 3rd, 2007. It addresses more the analysis capabilities of the standard 

As part of the CORTESS project (in the framework of the CARROL research program), CEA (French Energy Atomic Agency), Thales Research & Technology, and INRIA have developed a refined reference MARTE tutorial also in the aim  of helping you to understand the MARTE language. This tutorial is available within a single pdf file that you can download into both following versions:

•    English version 

• Japanese version

Since the tutorial is big and you may have interest in only a specific part of MARTE, you can download separated parts of the tutorial by using the links shown in the following index: 

 The FP7-ADAMS project has prepared also a tutorial on the usage of MARTE for de design of applications that run on ARINC 653 platforms.The slides of this tutorial are available here,  and the examples are availale as an eclipse workspace in the MARTE Models zoo.