Available for work — ed-tech, research, curriculum development
Students & teachers Researchers, engineers & employersThe Lacefield Pedagogical Framework is a formally documented system for how mathematical understanding develops — built from seven years of direct classroom research, now being implemented through an AI-assisted adaptive learning platform. The tutoring practice is the research environment.
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Employers & collaborators
Available for work now
Ed-tech, research, curriculum development, consulting. See what I bring and what I'm looking for.
Researchers & academics
11 white papers + tech spec
Full documentation of the framework, evidence base, and adaptive system architecture.
Students
Research participants
The tutoring practice is the research environment. Students who participate generate the data that trains the adaptive system.
Tutors & Teachers
Join the research program
Implement the framework with your own students. Co-generate the research data. Early participants shape the platform.
Who built this
Gregory Stuart Lacefield — independent researcher and former GED instructor. No university, no institution. Self-taught mathematician. Las Vegas, NV.
Full author record →Where it came from
Seven years GED instruction, Florida DOC. 9 of 90 statewide GEDs in first 6 months of 2014 overhaul. 44% first-attempt pass rate. No internet, no textbooks, mixed-ability classroom.
Full origin account →Evidence base
Independently derived principles validated against cognitive load theory, productive failure research, spaced retrieval meta-analyses, and schema acquisition literature.
Framework provenance →The system
The goal is a precision adaptive learning system that does what no institutional platform will build: diagnose the exact schema failure responsible for a student's errors, generate problems calibrated to their specific cognitive state, and iterate with the precision of a well-trained human tutor.
The framework was developed independently — without access to formal educational literature — from direct observation of what actually produces durable mathematical understanding. It has since been validated against existing research in cognitive load theory, schema acquisition, and productive failure.
The platform is in active development. The first implementation runs through human tutors. That is intentional: the tutor-administered sessions generate the training data that will make the automated system precise.
AI-assisted methodology documentation →Every session begins with a structured intake that identifies where understanding is genuinely sound and where it is corrupted or absent. Work starts at the actual schema floor — not where the student should be.
The methodology gives tutors the diagnostic language, concept maps, and session structure to implement adaptive instruction consistently — not dependent on years of accumulated intuition to develop independently.
Early tutors who implement this framework are co-generating the research data that will train the adaptive engine. This is applied education research — with real students, real outcomes, real data.
Core principles
Each emerged from observation, not theory. Each has a corresponding body of evidence. Each has a published white paper.
Research participation
The first implementation of this system requires human tutors implementing the framework with real students. If you teach math or GED subjects and care about the structural mechanisms behind how learning works — I want to talk to you.
Implement the framework with your own students. Use the diagnostic intake protocol and Dynamic Learning Profile. Log session data using the published tutor manual. Early participants are acknowledged as co-researchers and shape how the platform develops.
Tutoring from the framework directly — diagnosis-first, calibrated difficulty, schema-level instruction. First session is always free. If you have been told you simply aren't a math person, this framework was specifically built to address that diagnosis.
Las Vegas, NV · In-person & online
Whether you are a tutor interested in the research program or a student ready to try a different approach — call, text, or use the booking link. First session is free, no commitment required.
Subjects
The framework was built in a GED context and has been extended across all major mathematics subjects. Research sessions are available in these areas — each one implements the full diagnostic intake and DLP protocol.
Rates
The tutoring practice is the research environment. Every session implements the full framework and generates data that refines the adaptive system. These are research participation rates.
Call or text: (702) 274-4299 · email: glacefield87@gmail.com
Background
I am Gregory Lacefield — a self-taught mathematician, former GED instructor, and the designer of the Lacefield Pedagogical Framework. I have no formal university education. Everything I know — calculus through abstract algebra, statistics through differential equations, numerical analysis — was learned independently from primary texts, in environments with no internet, no professors, no graphing calculators.
I taught GED mathematics for seven years in Florida's correctional system. That environment was an unusually controlled laboratory: fixed resources, students ranging from 3rd-grade to near-college-ready in the same room, no access to formal educational literature. I built curriculum, designed diagnostic tools, and developed a theory of how learning works from first principles. During the 2014 GED overhaul — when statewide Florida completions collapsed — pass rates from this classroom ran at roughly twice the state average against a 150-point threshold later acknowledged as too high and reduced to 145.
The framework that produced those results is now being formally documented and built into a functioning adaptive learning platform. The tutoring practice is not separate from the research. It is the research environment — generating the data that will make the automated system precise.
RESEARCH Original statistical analysis: reading comprehension predicts applied math performance more reliably than language arts scores (n=130+, TABE scores)OUTCOMES 2× Florida state average GED pass rate during 2014 overhaul — hardest version of the test in state historyFRAMEWORK 11 white papers formally documenting the pedagogical framework — published at gregorylacefield.comSYSTEM Full technical specification for AI-assisted adaptive learning platform — engineering document publishedMAPS 361 concept nodes across 10 subject tier maps — algebra, geometry, GED math, science, social studies, language arts, economics, ELAMATH Self-taught through multivariable calculus, linear algebra, ordinary differential equations, abstract algebra, numerical analysisACTIVE Tutoring in Las Vegas, NV · in-person and online · first session always free