### Mathematics

Students have a deep understanding of select central concepts in secondary mathematics as well as core representations, canonical examples, and alternative algorithms germane to teaching these select concepts.

### Mathematical Exploration with Technology

Students can use technology to engage in meaningful mathematical exploration and can reflect on their own learning to make inferences about how adolescents learn mathematics with technology.

### Mathematical Communication

Students can articulate and represent their mathematical thinking in technological environments in ways that are appropriate for their intended audience.

### Instructional Design and Technology

Students understand the affordances and constraints of technology in teaching mathematics and can apply this knowledge to design learning opportunities involving the use of technology to support adolescents' mathematical learning.