This document discusses different types of assessment in mathematics education. It defines assessment as a method for teachers to collect student performance data to evaluate learning achievement and identify gaps. There are four main types of assessment discussed: assessment for learning which is formative and informs teaching; assessment of learning which is summative like exams; assessment as learning which focuses on self-monitoring of learning; and traditional vs authentic methods which involve paper tests vs demonstrations of skills. The purposes of assessment are also to customize instruction and provide feedback to students.