MIGUEL ÁNGEL ABREU TERÁN
MATHEMATICS EDUCATOR MATH & PHYSICS INSTRUCTOR COLLEGE MATHEMATICS
Phoenix, Arizona • 480-***-**** • ***********@*****.*** • linkedin.com/in/miguel-angel-abreu-teran-324695222 PROFESSIONAL SUMMARY
Mathematics educator with 20+ years of experience teaching and tutoring students across university, secondary, and individual-instruction settings. Holds an M.S. in Mathematical Sciences and brings a strong foundation in mathematics for engineering and STEM, including calculus, algebra, differential equations, linear algebra, complex analysis, probability, and statistics. Experienced in lesson and assessment design, academic mentoring, differentiated instruction, and explaining challenging concepts through clear, step-by-step instruction. Also experienced in applied mathematics, data analysis, and mathematical modeling. TEACHING AREAS & CORE SKILLS
K–12 & ACADEMY INSTRUCTION: Algebra I/II, Geometry, Precalculus, College Algebra, math foundations, exam preparation, individualized support COLLEGE & STEM MATHEMATICS: Calculus I–III, differential and integral calculus, linear algebra, differential equations, complex variables PHYSICS & QUANTITATIVE SUBJECTS: Physics tutoring, probability, statistics, numerical methods, quantitative reasoning, problem solving TEACHING PRACTICE: Lesson planning, instructional materials, assignments and exams, student assessment, differentiated instruction, academic mentoring, online/hybrid tutoring
PROFESSIONAL EXPERIENCE
Mathematics Lecturer Sep 2005 – Dec 2019
Faculty of Engineering, Universidad de Oriente — Santiago de Cuba, Cuba
• Taught university-level mathematics courses for engineering students, including algebra, geometry, calculus, differential equations, complex variables, numerical methods, probability, and statistics.
• Prepared instructional materials, assignments, quizzes, examinations, and other assessments aligned with course content.
• Helped students strengthen analytical reasoning and mathematical problem-solving through structured explanations and academic guidance.
• Provided academic advising and mentoring and adapted instruction to students’ learning needs. Mathematics & Physics Tutor 2010 – Present
Private Instruction — In person and online; U.S. and international students
• Provide individual and small-group instruction for secondary-school, college-preparatory, and university students.
• Support concept mastery, homework, test preparation, and confidence-building in mathematics and physics.
• Use clear, step-by-step explanations and tailor sessions to students’ needs and learning goals.
• Teach and tutor topics including algebra, calculus, differential equations, linear algebra, statistics, and physics. Applied Mathematics / Data Analysis May 2010 – Jun 2019 Universidad de Oriente
• Conducted analytical and numerical work involving differential equations, data analysis, mathematical modeling, and simulations.
• Used R/RStudio and MATLAB for computational analysis and prepared technical reports and scientific-computing outputs. EDUCATION
M.S. in Mathematical Sciences — Universidad de La Habana, Cuba (2018) B.S. in Mathematics — Universidad de Oriente, Cuba (2005) CERTIFICATION & ADVANCED ACADEMIC TRAINING
Arizona Teacher Certification — Mathematics (2025; as listed in source résumé)
• Functional Analysis and PDEs — University of Havana / Université Grenoble-Alpes (2016)
• Fourier Transform — University of Havana / Université Jean-Baptiste Joseph Fourier (2017)
• Semigroups and Spectral Theory — Universität Ulm (2017)
• Numerical Simulations with the Finite Element Method — Universität zu Kiel / Universität Magdeburg (2018) TECHNOLOGY
R • RStudio • MATLAB • LaTeX • Mathematica • Statgraphics • Microsoft Excel, Word, and PowerPoint • Online and virtual instruction tools LANGUAGES
Spanish: Native • English: Professional working proficiency