Washingon State Teacher Certification: Mathematics (5-12)
Standard 10: Mathematics Instructional Methodology
Candidates possess a deep understanding of how students learn mathematics and of the pedagogical knowledge specific to mathematics teaching and learning.
- 10.A:
- Select, use, and determine suitability of the available mathematics curricula, teaching materials, and other resources including manipulatives for the learning of mathematics for all students
- 10.B:
- Demonstrate ability to present mathematical concepts using multiple representations (e.g., numerical, graphical, analytical, and contextual)
- 10.C:
- Demonstrate the ability to guide student discourse in mathematical problem solving, argumentation (creation and critiquing), literacy, and in-depth conceptual understanding
- 10.D:
- Demonstrate knowledge of learning progressions, including conceptual and procedural milestones and common misconceptions, within each content domain and connections to instruction
- 10.D.1:
- Demonstrate knowledge of major, supporting, and additional clusters for each grade level
- 10.D.2:
- Demonstrate an understanding of the concept of mathematical rigor including conceptual understanding, procedural skill and fluency, and application
- 10.D.3:
- Demonstrate an understanding of coherent connections within clusters at a grade level and the progression from grade level to grade level that builds on previous learning
- 10.E:
- Engage in developmentally and culturally responsive teaching of mathematics that minimizes power and status issues, nurtures a positive mathematics disposition, and utilizes students' cultural funds of knowledge and experiences as resources for lessons
The B.S. degree in Mathematics, with a concentration in Secondary Education, covers these standards in the courses indicated in the table below. Entries represent the level of competency expected in each course with 1 being low, 2 medium, and 3 high.
10.A | 10.B | 10.C | 10.D | 10.D.1 | 10.D.2 | 10.D.3 | 10.E | ||||||
Precalculus Mathematics I (MATH 121)^{†} | |||||||||||||
Precalculus Mathematics II (MATH 122)^{†} | |||||||||||||
Calculus for the Life Sciences I (MATH 131), or Calculus I (MATH 181) |
1 | ||||||||||||
Data Analysis (MATH 215) | 2 | ||||||||||||
Discrete Mathematics (MATH 250) | 2 | ||||||||||||
Calculus II (MATH 281) | 1 | ||||||||||||
Calculus III (MATH 282) | 1 | ||||||||||||
Calculus IV (MATH 283) | 1 | ||||||||||||
Introduction to Linear Algebra (MATH 289) | 1 | ||||||||||||
Ordinary Differential Equations (MATH 312) | 2 | ||||||||||||
Probability and Statistics (MATH 315) | 2 | ||||||||||||
Survey of Geometries (MATH 321) | 2 | ||||||||||||
Junior Mathematics Seminar I (MATH 396) | |||||||||||||
Junior Mathematics Seminar II (MATH 397) | |||||||||||||
Real Analysis I (MATH 451) | 3 | ||||||||||||
Real Analysis II (MATH 452) | 3 | ||||||||||||
Abstract Algebra I (MATH 461) | 3 | ||||||||||||
Senior Mathematics Seminar I (MATH 496) | 2 | 3 | |||||||||||
Senior Mathematics Seminar II (MATH 497) | 2 | 3 | |||||||||||
Methods of Teaching Secondary Math (MEDU 395) | 3 | 3 | 3 | 3 | 3 | 1 | 3 | 1 | |||||
^{†}While not required for the major, these classes are prerequisites for MATH 181 |