STEM tutor in Madison, WI & online

Madison and online STEM tutoring that builds real understanding.

STEM by Sophia offers warm, high-level MCAT prep, math and science tutoring, Python and data science tutoring, and academic coaching from an MD/PhD student, Johns Hopkins-trained engineer, and biomedical AI researcher.

Confidence. Clarity. Advancement.

99th percentile MCAT MD/PhD student Johns Hopkins engineering
Sophia Doerr in a white coat
Sophia Doerr Physician-scientist in training • STEM mentor
1:1

Individualized instruction built around each student’s goals, pace, and learning style.

AP • IB • MCAT • Advanced STEM

Support for ambitious coursework, AP and IB exams, and advanced STEM pathways.

STEM + AI

Mentorship that connects math, biology, coding, data science, medicine, and research.

A calm, rigorous learning environment

Designed to make hard subjects feel organized and approachable.

Students often struggle not because they are incapable, but because the material has been presented as disconnected facts or procedures. I help students build a map: what matters, how ideas connect, and how to reason through unfamiliar problems.

A calm STEM study desk with notebook, microscope, laptop, and graphs
Morro Rock and calm coastline Aerial view of Mount Rainier Waterfall surrounded by greenery
STEM workspace with microscope, notebook, coding, and data visualization

“Students learn best when the material finally feels organized, understandable, and less intimidating.”

A systems-engineering approach

Measure, learn, adjust, and repeat.

I treat learning as a system that can be understood and improved. Together, we track performance across assignments, practice problems, and exams; sort mistakes into recurring patterns; and use that evidence to decide what to practice next. Each cycle creates a feedback loop, so the plan evolves with the student instead of staying fixed.

Conceptual clarity

Lessons emphasize why methods work, not just which formula to use.

Individualized tracking

We monitor the measures that matter for the student, such as concept gaps, reasoning errors, pacing, strategy choice, or follow-through.

Evidence-led adjustments

Patterns in the student’s own work guide the next explanation, practice set, or study-system change. Progress is visible, and strategies that are not helping can be revised.

About Sophia

A STEM mentor with scientific depth and a human-centered teaching style.

I’m Sophia, an MD/PhD candidate and biomedical AI researcher with a background in biomedical engineering, applied mathematics, and data science. I trained at Johns Hopkins and now mentor students across math, biology, coding, data science, medicine, and research-oriented STEM pathways.

My goal is to help students feel capable in difficult subjects. I combine rigorous scientific thinking with patience, warmth, and individualized explanations so students can build skills that last beyond one exam.

Biomedical engineering Applied mathematics Medical AI STEM education
Sophia holding a STEM by Sophia sign

Best fit students

  • AP, IB, college, MCAT, or advanced STEM learners
  • Students who need conceptual clarity, not just homework answers
  • Curious students interested in medicine, engineering, coding, AI, or research
  • Students who are anxious, overwhelmed, neurodivergent, or perfectionistic

What families can expect

Premium tutoring that feels organized, thoughtful, and personal.

Effectiveness is evaluated through the student’s own evidence: fewer repeats of targeted error types, clearer explanations, stronger performance on comparable work, and more consistent follow-through. These signals do not guarantee a particular score; they show whether the current strategy is helping and where to adjust next.

“Through Sophia’s valuable insight and creative teaching, I was able to actually enjoy tutoring and maximize my opportunities of getting the scores I wanted. Most importantly, she taught me how to believe in myself.”
High school student

Before sessions

Goals are clarified so sessions are focused, efficient, and responsive to class expectations or exam timelines.

During sessions

Students practice active reasoning, targeted problem-solving, and explaining ideas in their own words.

After sessions

Students leave with clearer next steps, stronger study strategy, and a better sense of control over hard material.

Now accepting a small number of students

Interested in working together?

Start by booking a free consultation so I can learn about your student's grade level, subject, goals, and whether virtual or Madison-area in-person sessions are the best fit.