Reconfigurable computing architectures are becoming increasingly important in many computing domains (e.g., embedded and high-performance systems). These architectures promise comparable characteristics to specific hardware solutions with the flexibility and programmability of microprocessor solutions. This chapter gives a comprehensible overview of reconfigurable computing concepts and programming paradigms for the current and future generation of reconfigurable computing architectures. Two paramount aspects are highlighted: understanding how the programming model can help the mapping of computations to these architectures, and understanding also the way new programming models can be used to develop applications to these architectures. We include a set of simple examples to show different aspects of the use of the reconfigurable computing synergies, driven by the initial programming model used.