Staff Writer & Geometry AI Reviewer
Alex Dormer
GeometryMathSolver

Alex Dormer

Geometry & STEM Education Researcher  ·  AI Math Tools Reviewer  ·  Curriculum Developer

7+ Years teaching
50+ Tools reviewed
99%+ Accuracy tested
Stanford Math Ed, M.S.
5+ yrs
Proof curriculum dev
400+
Problems benchmarked
K–12 → Uni
Curriculum levels
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“The biggest failure of most geometry AI tools isn’t calculation accuracy — it’s explanation quality. Getting ‘x = 42’ is useless if you don’t understand which theorem got you there. Every tool I review gets measured against one question: could a student read this solution, close the tab, and solve the next problem on their own?”

— Alex Dormer, GeometryMathSolver
About

Math educator who specialises in geometry pedagogy and AI solver accuracy

Alex Dormer is a geometry education researcher, curriculum developer, and AI math tools reviewer with seven years of experience spanning secondary and university-level mathematics. He holds a Master’s degree in Mathematics Education from Stanford University, where he focused on spatial reasoning development and the pedagogical design of geometry proof curricula — giving him both the subject-matter depth and the teaching perspective needed to evaluate whether an AI solver actually teaches the method or just delivers a number.

Before joining GeometryMathSolver, Alex spent five years developing two-column proof curricula for a K–12 STEM publisher, writing and reviewing step-by-step geometry solutions for hundreds of textbook problems. That work gave him a precise standard for what “a good explanation” looks like in geometry — one that names the theorem applied, sequences the logic correctly, and uses the notation students encounter on actual exams.

At GeometryMathSolver, Alex evaluates AI geometry solvers across every major topic area — triangles, circles, proofs, 3D solids, and analytical geometry — testing whether each tool produces genuinely correct step-by-step solutions or just confident-sounding approximations. His reviews are grounded in real problem sets drawn from AP Geometry, SAT math, and university entrance exams.

Expertise
Two-Column Proofs Triangle Theorems & Trigonometry 3D Solid Geometry Circle Theorems & Arc Problems Coordinate & Analytical Geometry AI Math Solver Reviews Step-by-Step Logic Quality Neuro-Symbolic AI Evaluation OCR & Image Input Testing AP & SAT Geometry Prep Curriculum Design STEM Education Research
Education & Background
🎓
M.S. Mathematics Education — Stanford University
Specialization in spatial reasoning development, geometry proof pedagogy, and the cognitive science of mathematical visualization. Thesis on how step-by-step explanation sequencing affects student retention of theorem application in Euclidean geometry.
📐
Geometry Curriculum Developer — K–12 STEM Publisher (5 years)
Wrote and reviewed step-by-step geometry solutions for 400+ textbook problems across middle school, high school, and AP levels. Developed two-column proof templates and notation standards that align with AP Geometry, SAT, and Common Core requirements — the same standards Alex applies when testing AI solver output.
🔬
Independent AI Math Solver Researcher (2 years)
Systematic benchmarking of AI geometry solvers including Photomath, Wolfram Alpha, Symbolab, Microsoft Math Solver, and others — across triangles, circles, proofs, and 3D geometry. Built a reproducible testing framework measuring step sequence correctness, theorem citation accuracy, and proof format compliance.
✍️
Staff Writer & Reviewer — GeometryMathSolver
Tests AI geometry solvers on real problem sets from AP Geometry, SAT math, and university entrance exams. Evaluates step-by-step logic quality, theorem citation correctness, two-column proof format compliance, and OCR accuracy on handwritten and diagram-heavy inputs.
Review methodology

How every geometry AI tool on this site is tested

01
Exam-standard problem sets
Every tool is tested on problems drawn from AP Geometry, SAT math, and UK GCSE — not cherry-picked easy examples where all solvers perform well.
02
Theorem citation audit
Each step in a solution is checked to confirm the correct theorem or postulate was cited — not just that the arithmetic is right. A correct answer with wrong justification fails the test.
03
Two-column proof format check
Proof outputs are evaluated against AP and Common Core formatting standards — correct Statement/Reason pairing, proper CPCTC usage, and logical sequencing from Given to QED.
04
3D solid geometry accuracy
Volume, surface area, and lateral area problems for spheres, cones, cylinders, prisms, and pyramids are tested and verified against hand-calculated reference answers.
05
OCR & image input testing
Tools with photo upload are tested on handwritten problems, printed textbook diagrams, and labelled geometric figures — to evaluate real-world usability beyond clean typed input.
06
Student usability standard
Every solution is evaluated against one question: could a high school student read this, close the tool, and solve the next problem of the same type independently? If not, it fails as a learning tool.
Sample Proof — Alex’s Testing Standard FORMAT CHECK ✓
Statement
Reason
1. ∠ABC = ∠DEF
1. Given
2. BC ∥ EF
2. Alt. Interior Angles Theorem
3. △ABC ~ △DEF
3. AA Similarity Postulate