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This paper attempts to identify some of the central concepts, issues, and challenges that are emerging in the development of imperative, data parallel programming languages for distributed memory multiprocessors. It first describes a common paradigm for such languages that appears to be emerging. The key elements of this paradigm are the specification of distributed data structures, the specification of a virtual parallel computer, and the use of some model of parallel computation and communication. The paper illustrates these concepts briefly with the DINO programming language. Then it discusses some key research issues associated with each element of the paradigm. The most interesting aspect is the model of parallel computation and communication, where there is a considerable diversity of approaches. The paper proposes a new categorization for these approaches, and discusses the relative advantages of disadvantages of the different models.