This design experiment research introduces a mathematical inquiry titled Pattern Math. The Pattern Math activities create an atmosphere where students can think mathematically, communicate mathematically and make connections between different mathematical concepts. Based on simple patterns with complex explanations, the Pattern Math activities provide students with the opportunity to develop their conceptual understanding of mathematics. Through reflections on the activities, students are able to reexamine their views of learning mathematics. This design experiment research has a narrative approach and incorporates the teaching and research technique of interactive writing. The research highlights the power of inquiry. By providing students with the opportunity to work within their zone of proximal development, the Pattern Math activities provide students with the opportunity to make mathematical discoveries and come to understand algebra and arithmetic with conceptual understanding.