### Mathematics

Students have a deep understanding of central concepts in elementary school mathematics related to whole numbers and whole number operations, number theory, integers and integer operations, geometry, and measurement; as well as core representations, canonical examples, patterns in children's thinking, and alternative algorithms germane to teaching these concepts.

### Mathematical Thinking

Students understand mathematics as a sense-making activity, can solve problems by employing conceptual understanding and mathematical reasoning, and can reflect on their own learning to make inferences about how children experience and understand mathematics.

### Mathematical Activity

Students engage productively in mathematical inquiry, effectively communicate their mathematical ideas and reasoning with their peers, and reflect on the teaching practices modeled in the MthEd 305 classroom to make inferences about teaching practices that help children learn mathematics.