### Mathematics

Students understand the central concepts, tools of inquiry, and structures of the discipline of mathematics as well as core representations, canonical examples, and alternative algorithms germane to teaching secondary school mathematics.

### Task Analysis and Design

Students can analyze a task, a section in a textbook or curricular unit, or a specific mathematical topic to identify and describe the related important mathematical concepts and procedures, and can design relevant tasks that foster conceptual understanding, procedural fluency, and authentic mathematical practices.

### Developing Lesson Plans

Students understand how to create lesson plans that involve meaningful tasks in the context of a given unit, that anticipate student thinking and how the lesson might build on that thinking, and that articulate how they will orchestrate each phase of the lesson (launch, explore, discuss, unpack).

### Orchestrating Lessons

Students can use their lesson plans to engage adolescents in the day's activities (launch), facilitate meaningful exploration of mathematics (explore), orchestrate discussion that builds on and extends adolescents' emerging mathematical conceptions (discuss) and ensure the important mathematical concepts and procedures related to the goals of the lesson are made explicit (unpack).

### Assessing Mathematical Learning

Students understand how to design and use formative assessment that monitors the learner's progress, informs instructional decisions, and engages adolescents in assessing their own mathematical learning.

### Professionalism

Students demonstrate their professionalism through maintaining appropriate relationships and behavior in the MthEd 377 classroom setting; improving practice through reflection and by providing, soliciting and incorporating feedback; and contributing to the professional learning community of the classroom.