* Calculus: At a minimum, you'll need Calculus I, II, and III (often including sequences and series). Some programs may also require multivariable calculus.
* Linear Algebra: This is almost universally required for aspiring high school math teachers. It's crucial for understanding many aspects of high school mathematics, particularly in advanced algebra and geometry.
* Differential Equations: Many programs include this, especially if you plan to teach advanced high school math courses.
* Probability and Statistics: This is increasingly important given the emphasis on data analysis in modern curricula. A solid course in probability and statistics is typically required.
* Discrete Mathematics: This course covers topics like logic, set theory, graph theory, and combinatorics, which are foundational for computer science and increasingly relevant to high school math.
* Mathematics History/Foundations/Abstract Algebra: Some programs may require one or more courses exploring the history and foundations of mathematics or abstract algebra to provide a deeper understanding of mathematical concepts.
* Mathematics pedagogy: In addition to the math courses, you will need several education courses focused on teaching mathematics effectively at the secondary level. These courses will cover instructional strategies, curriculum development, assessment, and classroom management specific to mathematics.
In summary: You'll need far more than just a basic college algebra course. Expect a minimum of 18-24 semester hours dedicated to upper-level mathematics courses, in addition to education courses focusing on teaching mathematics. Always check the specific requirements of the teacher certification program and the university you plan to attend. These requirements are frequently listed on the education department's website of the university or state department of education.