3 – Mathematical Progression Models and Conceptual Understanding

In this lesson, you will: 

• list the five main K-5 math progressions.
• analyze a math standard you teach to determine how it aligns to the information presented in the K-5 progression videos.
• reflect on how information learned might impact your own instruction.
• define what conceptual understanding in mathematics means.
• list the four components of conceptual understanding.
• explain how conceptual understanding supports Piaget’s and Bruner’s work on child development.
• explore various manipulatives and visual representations that support conceptual understanding of an upcoming unit you will teach.
• explore various types of checks for understanding in mathematics.
• explain the role of formative assessment within a single lesson.
• appropriately align a check for understanding with a learning goal.
• describe what error analysis is from both a student and a teacher perspective.
• list strategies/processes for error analysis of student work.
• identify common errors/misconceptions.
• align strategies that can be used to intervene when common misconceptions occur.