# Student Learning Outcomes

Contact Information

## College of the Environment, Forestry, and Natural Sciences2021-2022

### Department of Mathematics and Statistics

#### Secondary Education - Mathematics, Bachelor of Science in Education

### Learning Outcomes

**Purpose Statement**

The NAUTeach program is a challenging undergraduate course of study solely designed to prepare mathematics and science teachers for grades 6-12. The program emphasizes the pre-service teacher’s ability to develop research-based pedagogy through a STEM (Science, Technology, Engineering, Mathematics) focused, field intensive, rigorous curriculum. This allows undergraduate students to be highly supported by faculty who specialize in mathematics and science education research and Master Teachers that have years of professional classroom experience. Our program is designed for students with strong skills in mathematics or science seeking certification to teach biology, chemistry, physics, Earth sciences, general science, or mathematics at the secondary level.

The NAUTeach program, modeled after the successful UTeach program at the University of Texas, provides opportunities for you to:

- graduate in four years. Students earn a Bachelor of Science in education in their field of study.
- earn dual degrees. Students have the ability to earn degrees both in specific fields of science or mathematics and in teaching science or math.
- have early classroom teaching immersion. Students are in the K-12 mathematics or science classroom teaching and observing from the first semester and throughout the NAUTeach program to prepare for their capstone student teaching experience.
- work cooperatively in a STEM focused center. Course of study partnered with the department of Mathematics, Biology, Chemistry, Geology, and Physics.
- experience “student-centered” instruction. Course structure supports deep student understanding of concepts related to teaching, science, and mathematics.
- develop numerous STEM based lessons and a full STEM based unit. Students teach numerous STEM lessons and a STEM unit at local secondary schools, which build towards a capstone student teaching experience that utilizes the full range of skills and experiences.
- engage in educational dialogue and planning. Students plan lessons that promote deep content knowledge, analytical reasoning, creative thought and use of appropriate teaching strategies.
- use technology to enhance learning. Students experience technology throughout NAUTeach courses and develop lessons that model technology use in 6-12 classrooms.
- earn scholarships, internships and loan forgiveness. Numerous financial opportunities exist for secondary mathematics and science education majors.
- inspire future scientists, engineers, and mathematicians to change the world. Visit Teachers who inspired great scientists to see how teachers change the world.

**Student Learning Outcomes**¿

- Knowledge of Problem Solving. Candidates know, understand and apply the process of mathematical problem solving.
- Knowledge of Reasoning and Proof. Candidates reason, construct, and evaluate mathematical arguments and develop as appreciation for mathematical rigor and inquiry.
- Knowledge of Mathematical Communication. Candidates communicate their mathematical thinking orally and in writing to peers, faculty and others.
- Knowledge of Mathematical Connections. Candidates recognize, use, and make connections between and among mathematical ideas and in contexts outside mathematics to build mathematical understanding.
- Knowledge of Mathematical Representation. Candidates use varied representations of mathematical ideas to support and deepen students' mathematical understanding.
- Knowledge of Technology. Candidates embrace technology as an essential tool for teaching and learning mathematics.
- Dispositions. Candidates support a positive disposition toward mathematical processes and mathematical learning.
- Knowledge of Mathematics Pedagogy. Candidates possess a deep understanding of how students learn mathematics and of the pedagogical knowledge specific to mathematics teaching and learning.
- Knowledge of Number and Operations. Candidates demonstrate computational proficiency, including a conceptual understanding of numbers, ways of representing number, relationships among number and number systems, and the meaning of operations.
- Knowledge of Different Perspectives on Algebra. Candidates emphasize relationships among quantities including functions, ways of representing mathematical relationships, and the analysis of change.
- Knowledge of Geometries. Candidates use spatial visualization and geometric modeling to explore and analyze geometric shapes, structures, and their properties.
- Knowledge of Calculus. Candidates demonstrate a conceptual understanding of limit, continuity, differentiation, and integration and a thorough background in techniques and application of the calculus.
- Knowledge of Discrete Mathematics. Candidates apply the fundamental ideas of discrete mathematics in the formulation and solution of problems.
- Knowledge of Data Analysis, Statistics and Probability. Candidates demonstrate an understanding of concepts and practices related to data analysis, statistics, and probability.
- Knowledge of Measurement. Candidates apply and use measurement concepts and tools.

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