Programs in the Department of Mathematical Sciences

150 - Mathematics - BA

AY 2015-2016 Student Learning Outcomes

  1. Students will demonstrate a conceptual understanding of algebra, geometry, trigonometry, and calculus concepts.
  2. Students will apply major concepts from advanced algebra.
  3. Students will analyze ordinary differential equations.
  4. Students will construct mathematically rigorous and logically correct proofs.
  5. Students will formulate mathematical models that arise in real-world situations.
  6. Students will utilize technology as an effective tool in investigating, understanding, and applying mathematics.
  7. Students will analyze and solve problems through the application of concepts from algebra, geometry, trigonometry, and calculus.

155 - Mathematics Education - BA

AY 2015-2016 Student Learning Outcomes

  1. Candidates analyze and explain the mathematics that underlies the properties and procedures used for operations on various sets of numbers. This includes standard and non-standard algorithms, number theory, quantitative reasoning, vector and matrix operations, modeling and applications.
  2. Candidates examine relationships among quantities including functions, represent mathematical relationships, and analyze change.
  3. Candidates use core concepts of Euclidean and non-Euclidean geometry, transformational geometry, and trigonometry to represent and solve problems.
  4. Candidates design investigations, use appropriate data collection methods, test conjectures, display data and interpret results.
  5. Candidates apply the concepts and demonstrate procedural facility in calculus.
  6. Candidates apply the fundamental ideas of discrete mathematics in the formulation and solution of problems.
  7. Candidates apply the process of mathematical problem solving.
  8. Candidates construct and evaluate mathematical arguments and proofs.
  9. Candidates create, apply, and translate mathematical representations.
  10. Candidates explain and defend their mathematical thinking.
  11. Candidates identify and apply curriculum standards for mathematics.
  12. Candidates identify and apply mathematics in a variety of contexts.
  13. Candidates select and make use of appropriate technological tools.
  14. The teacher candidate demonstrate a positive disposition toward mathematical practices as they plan and create learning opportunities, grounded in mathematics education research, that exhibit knowledge of adolescent learning, development, and behavior; that are equitable and ethical; and that  use instructional tools to enhance learning while recognizing the possible limitations of such tools.
  15. The teacher candidate will provide evidence demonstrating that as a result of their instruction and ability to engage students in mathematical experiences that are developmentally appropriate, require active engagement, and include mathematics-specific technology, new student mathematical competence or knowledge has been created.
  16. The teacher candidate will participate in professional development experiences specific to mathematics and mathematics education, draw upon mathematics education research to inform practice, reflect on their practice, and utilize resources from professional mathematics organizations.
  17. Candidates complete field-based experiences in mathematics classrooms.