This study examines how 98 students in Taiwan taking a typical high-school history class composed concept maps related to both an everyday concept and an academic-oriented unique concept with various degrees of freedom in concept mapping. In order to reveal the multidimensionality of history concepts, this study provided participants a 6W scaffold with which they were to crisscross their understandings in relation to each individual concept node. The scaffold helped the participants' concept mapping of academic-oriented unique concepts, but not of everyday concepts, and the effects varied among mappings with different degrees of freedom and among students with different learning capacities.