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
Teacher Cert. Home