The geometry of space is a branch of mathematics that is taught from primary education to higher education , but based on the observation that most of the students do not understand the decrease in volume formulas wake inductively space . Inductive reasoning in mathematics is a way of thinking of the elements or patterns leading to a generalization . According to Van Hiele theory of learning geometry , that level of thinking skills in learning geometry includes five levels , namely visualization , analysis , informal deduction , deduction , and rigor . Learning more meaningful when applied Islamic culture in the early academic learning , the learning process , and the end of the lesson . This was done to maintain awareness and intent straight to continually learn as a form of worship in particular to understand the decline of learning math formulas wake valume space inductively. Based on comparative tests problem solving abilities decline wake volume formulas inductively space then get a group of students learning based on the van Hiele theory based Budai has an average value of 70.36 is greater than the group of students who do not get the learning.

 

Key Words: Volume geometry of space, Van Hiele Theory, Budai, and inductive thinking.