Peter Smith
Current Chicago Public Schools mathematics teacher with a Professional Educator License in Secondary Mathematics for grades 6–12.
Summa Cum Laude graduate of DePaul University with a B.S. in Mathematics and Secondary Education, plus an M.S. in Mathematics from Indiana State University.
Knowles Teaching Fellow focused on meaningful, equitable, inquiry-based mathematics instruction.
Experienced with classroom teaching, one-on-one math support, ACT/SAT math preparation, Math Circles of Chicago, and Q.E.D. math and computer science symposium work.
Teaching Philosophy
Peter believes students build durable mathematical understanding by doing mathematics. His approach emphasizes inquiry, reasoning, and student agency: rather than simply telling students which procedure to use, he helps them investigate the structure of a problem, understand why a method works, and build the procedural fluency needed to apply ideas confidently in class and on tests.
Teaching Principles
- Uses rich problems and targeted questions to help students make mathematical discoveries.
- Connects conceptual understanding with procedural fluency so students know both why and how methods work.
- Provides immediate, targeted feedback based on each student's unique thinking and learning style.
- Builds test readiness through real exam questions, simulated testing conditions, and strategic review.
Best Fit For Students Who
- Need support in middle school or high school mathematics, from foundational skills through advanced coursework.
- Are preparing for ACT, SAT, PSAT, or selective-school entrance exam math sections.
- Benefit from a teacher who helps them reason through problems rather than memorize isolated procedures.
- Want to strengthen both conceptual understanding and confidence in mathematical problem solving.
- Respond well to patient, inquiry-based instruction with clear structure and targeted feedback.
Subjects & Services
- ACT Math
- COOP Mathematics
- CPS Academic Center Entrance Exam quantitative and spatial skills
- CPS HSAT Mathematics
- HSPT Mathematics
- ISEE Primary, Lower, Middle & Upper Mathematics Achievement
- MAP K-12 Mathematics
- PreACT Math
- PSAT 8/9, PSAT 10 & PSAT/NMSQT Math
- SAT Math
- SSAT Elementary, Middle & Upper Quantitative
- TACHS Mathematics
- Algebra I & II
- AP Calculus AB & BC
- AP Precalculus
- AP Statistics
- Calculus
- Discrete Mathematics
- Geometry
- Integrated Mathematics
- K-8 Mathematics
- Math & Computer Science
- Pre-Algebra
- Pre-Calculus
- Statistics
- Trigonometry
- Academic/AP support
- Directed study
- Executive-function support for grades 6–12
- Middle-school study skills
Experience Highlights
Classroom Mathematics Teaching
Teaches high school mathematics, including Geometry, AP Statistics, Algebra II, and Pre-Calculus.
Inquiry-Based Instruction
Selected as a Knowles Teaching Fellow and participates in professional inquiry around student thinking, mathematical practices, and classroom culture.
Chicago Math Community
Has worked one-on-one with students through DePaul's Education and Counseling Center and with students across Chicago through Math Circles of Chicago.
Q.E.D. Symposium Work
Regularly judges Q.E.D., Chicago's math and computer science symposium for middle and high school students.
More About Peter Smith
Peter Smith is a Chicago Public Schools mathematics teacher and Senior Tutor whose work centers on helping students become active, confident doers of math. He graduated Summa Cum Laude from DePaul University with a double major in Mathematics and Secondary Education and later earned a master's degree in Mathematics from Indiana State University. His classroom and tutoring work are grounded in the belief that students learn mathematics most deeply when they are invited to reason, test ideas, make discoveries, and explain their thinking.
In addition to his high school teaching experience, Peter has worked one-on-one with students through DePaul's Education and Counseling Center and has supported students across Chicago through Math Circles of Chicago. He also regularly participates in Q.E.D., Chicago's math and computer science symposium for middle and high school students, where he provides feedback on students' original mathematical projects.
Peter's teaching philosophy is shaped by his work as a Knowles Teaching Fellow, where he has focused on meaningful, equitable, inquiry-based mathematics instruction. He works to demystify concepts and procedures without taking away students' agency as problem solvers. In practice, that means helping students understand the underlying mathematics, develop reliable procedures, and build enough fluency to apply their knowledge independently.
For ACT and SAT math preparation, Peter uses customized plans built around real exam-style questions, simulated test conditions, and immediate, targeted feedback. This allows him to identify each student's strengths, gaps, and learning style, then adjust instruction accordingly. His goal is for students to experience mathematics as elegant, consistent, useful, and creative - and to carry that understanding into both the classroom and standardized tests.
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