Teaching Certificate - Applied Mathematics

Certificate in Teaching Collegiate Mathematics (Curric 140)

Preparing the Next Generation of Military Mathematics Educators:
From Mathematical Expertise to Educational Impact

The program integrates deep disciplinary expertise with practical instructional experience to prepare graduates for future teaching assignments at the nation’s service academies and other collegiate institutions.

Ready to Get Started?

This graduate certificate is designed for NPS students and military educators interested in developing the mathematical, pedagogical, and instructional expertise needed to teach mathematics effectively in military, collegiate, and technical education environments. It is focused on NPS graduate students to become effective instructors of undergraduate mathematics within military academic environments.

Who is Eligible?

NPS students seeking advanced preparation in collegiate mathematics instruction.
Priority is given to students whose career paths include faculty positions in the Mathematics Dept at NPS, USNA, USMA, & USCGA.
Interested participants must be able to take MA3607 (Real Analysis) during the Spring quarter of their 1st year of studies, in order to take the MA4100 courses below.

Program Manager: Enrollment and Program Participation

For enrollment information, course scheduling, and participation in certificate activities, please contact the certificate’s manager, Ms. Gabriela Stanica, who leads the instructional implementation of the program and supports students throughout their certificate experience.

GStanica

Gabriela Stanica

Lecturer, Academic Associate Chair, and Program Manager for the Teaching Collegiate Math Certificate
Department of Applied Mathematics
MA, SUNY Buffalo
gstanica@nps.edu

Research Interests: Discrete Mathematics, Logic, Combinatorics, Mathematical Education.

Program Vision and Strategic Direction

For engagements regarding the vision, goals, and long-term direction of the Certificate in Teaching Collegiate Mathematics, please contact Professor Ralucca Gera, Chair of the Department of Applied Mathematics. Professor Gera provides strategic leadership for the certificate and guides its role in advancing the department's mission of preparing military educators who can make a lasting impact across the nation's service academies.

Gera

Ralucca Gera

Professor, Department Chair, and Program Manager for the Network Science Academic Certificate
Department of Applied Mathematics, Discrete Mathematics Group
Ph.D, Distinguished Alumna of Western Michigan University
rgera@nps.edu

Research Interests: Personalized and Individualized Education, Network Science, Data Science, Complex Networks, Social Networks, Graph Theory, AI-based Adaptive Adult Education and the Future of Teaching & Learning.

Certificate Curriculum

MA3607 (Spring of the 1st year of study)

Real Analysis: Mathematical Depth for Clear Calculus Instruction

MA3607 develops the deeper mathematical understanding, grounding calculus instruction in rigorous theory, precision, and conceptual clarity. Students master real analysis so they can explain foundational ideas, connect theory to computation, and help future learners understand why calculus works—not only how to perform procedures—and teach calculus with confidence, depth and mathematial rigor.

MA4100 (Summer following MA3607)

Tutoring in the Math Acceleration Lab and Diagnostic Pedagogy

MA4100 prepares students for diagnostic tutoring through practicing questioning strategies and evidence-based instructional interventions. Students learn to identify misconceptions, give targeted feedback, and guide learners' math reasoning. Additionally, they learn the influence of mathematics throughout military and scientific history, highlighting its role in developing strategic thinkers, military leaders, and scientists.

$Naval Postgraduate School$

MA4101 and MA4102 (during second year of study)

Teaching Practicum in MA1113 (Calculus I) and MA1114 (Calculus II) at NPS

MA4101 and MA4102 provide supervised teaching practica in Calculus I and Calculus II. Students design lessons, co-teach weekly in NPS’s refresher classroom environments, receive faculty feedback, and refine their instructional practice thorugh direct classroom experience teaching NPS graduate students, gaining the real-world instrutional expertise essential for effective collegiate mathematics teaching in military GradEd.

Program Learning Outcomes

Demonstrate mastery of foundational mathematical concepts and provide clear, rigorous, and conceptually grounded explanations of calculus topics.
Diagnose student misconceptions and learning challenges using evidence-based tutoring and pedagogical strategies.
Design instructional materials and learning experiences that promote conceptual understanding, critical thinking, and student engagement.
Deliver effective collegiate mathematics instruction in classroom and tutoring environments using proven teaching practices and instructional technologies.
Reflect on and continuously improve instructional effectiveness through assessment, feedback, and scholarly approaches to teaching and learning.

Empowering Mission-Ready Math Instructors for the Service Academies

U.S. Naval Academy

This certificate supports USNA’s Math Dept mission by preparing future mathematics instructors who can strengthen midshipmen’s analytical reasoning, problem-solving, and technical confidence. Graduates are equipped to teach calculus with clarity while connecting mathematical thinking to Naval and Marine Corps contexts.

U.S. Military Academy

This certificate supports West Point’s Math Dept mission by preparing future Army instructors to educate and inspire cadets through rigorous, mission-relevant mathematics instruction. Graduates learn to develop disciplined quantitative reasoning and confident problem-solving in future leaders of character.

U.S. Coast Guard Academy

This certificate supports USCGA’s Math Dept mission by preparing future instructors to build cadets’ mathematical foundations for sound judgment, technical readiness, and service. Graduates are trained to create engaging learning environments that strengthen quantitative skills essential to Coast Guard operations.

This certificate codifies and strengthens the preparation of future military mathematics educators—combining disciplinary depth, student-centered pedagogy, and supervised teaching practice to support excellence across the service academies.

Transforming Mathematical Knowledge into Teaching Excellence

Developed by the Department of Applied Mathematics at the Naval Postgraduate School in 2026, the certificate combines advanced mathematical content knowledge, evidence-based teaching practices, diagnostic tutoring, and mentored classroom instruction. Students develop the ability to explain complex mathematical concepts with clarity, identify and address student misconceptions, design engaging learning experiences, and teach calculus in authentic collegiate settings.