This article discusses the open schooling approach which has been promoted by the European Commission for preparing learners in cooperation with partners to develop real-world issue projects and shape a desirable future together. This approach is designed to engage all participants with RRI - Responsible Research and Innovation (EC, 2015). The objective of RRI is to align research and innovation with societal needs and sustainable development goals (UNESCO, 2015) through the interaction of researchers with society. Open schooling for RRI is considered an interactive approach to help youth develop knowledge, skills, attitude and values for the 21st century. This study presents some contributions of using inquiry mapping (OKADA, 2006) as a participatory research-action method to engage multi-partners in an open network. This exploratory study supported by a set of examples from the literature provides recommendations for developing inquiry-maps for open schooling in network projects and facilitates fun in learning.