*Evidence of development/mastery provided for the following areas:*

__Contemporary Issues/Challenges__

Provides advanced study in mathematics education with emphasis on contemporary issues and challenges confronting K-12 mathematics education at the K-12 levels. Focus on applying the mathematics principles and standards to improve curriculum, teaching and learning, assessment, technology usage and equity.

- Analyze the six mathematical principles as applied to curriculum development for K-12 mathematics education.
- Apply state and national mathematics standards using a variety of instructional strategies.
- Analyze student learning outcomes on the California State Test (CST) for quality, validity and reliability.
- Evaluate the challenge of using technology, video and other electronic applications for teaching mathematics.
- Analyze the six mathematical principles as applied to curriculum development for K-12 mathematics education.
- Analyze current principles, state and national standards, trends and issues in teaching Mathematics in grades K-9.
- Apply evidence-based best practices research in the delivery and evaluation of a balanced mathematics education program.
- Demonstrate the ability to develop a balanced program of mathematics instruction that includes conceptual understanding, procedural fluency and problem solving in Algebra, Geometry, Statistics, Probability and Number Theory.

__Algebra & Number Theory__

Provides K-9 advanced study in teaching and learning algebra and number theory content. Presents effective strategies and models of instruction to improve pedagogy and assessment in mathematics classrooms.

- Analyze issues, challenges and problems involved in teaching algebra and number theory.
- Apply research based solutions and approaches to teaching algebra and number theory.
- Create instrument for measuring effectiveness of teaching and assessment of student learning related to algebra and number theory.
- Develop learning activity for teaching algebra and number theory, illustrating and justifying the use of varied instructional strategies.

__Teaching Geometry & Measurement__

Provides K-9 advanced study in teaching and learning geometry and measurement content. Presents effective strategies and models of instruction to improve pedagogy and assessment in mathematics classrooms.

- Analyze issues, challenges and problems involved in teaching geometry and measurement.
- Apply research based solutions and approaches to teaching geometry and measurement.
- Create instrument for measuring effectiveness of teaching and assessment of student learning related to geometry and measurement.
- Develop learning activity for teaching geometry and measurement, illustrating and justifying the use of varied instructional strategies.

__Probability and Statistics__

Provides K-9 advanced study in teaching and learning probability and statistics content. Presents effective strategies and models of instruction to improve pedagogy and assessment in mathematics classrooms.

- Analyze issues, challenges and problems involved in teaching probability and statistics.
- Apply research based solutions and approaches to teaching probability and statistics.
- Create instrument for measuring effectiveness of teaching and assessment of student learning related to probability and statistics.
- Develop learning activity for teaching probability and statistics, illustrating and justifying the use of varied instructional strategies.