Mission & values
Every student we work with is trying to reach something harder: an honors placement, a stronger foundation, or the confidence to attempt unfamiliar problems. Northbound begins by finding the exact gaps holding them back, then builds the reasoning skills that keep those gaps closed.
The founder

Joshua Smith
Founder, Northbound
Began college at 14.
Full-time engineering at 15.
I got to where I was because, early on, someone made sure I understood how to think through a problem, not just how to solve the one in front of me. That distinction sounds subtle, but it changes everything. It is the difference between a student who can follow steps and a student who can figure things out.
Most students who plateau in mathematics hit the same wall: they were taught procedures, not reasoning. The steps work until the problem changes shape. Then the student has no structure to reach for.
They were never taught to think,
only to execute.
I developed a framework for that: FGS, or Find, Given, Solve. It forces clarity before action. Define exactly what you are trying to find, define exactly what you have been given, and then map the path between them.
I started this program because I kept seeing the same pattern in capable students: a procedural surface hiding a conceptual gap. New material kept coming. Homework kept moving. But the missing understanding underneath stayed in place.
Northbound is built to go back to where understanding broke, rebuild it with depth, and then move forward faster than the student thought was possible. Not remediation. Reconstruction.
Where the name comes from
The North Star was fixed, reliable, and useful because it showed both where you were and where you needed to go.
That is the role Northbound is built to play for students: identify the current position, reveal the path forward, and guide the work with precision.
A coach should not simply help a student finish the problem in front of them. A coach should help the student understand where the gap began, what needs to be rebuilt, and how to move through the next challenge with less guesswork.
Northbound is not a homework-help service. It is a guided path toward the kind of mathematical thinking most instruction never asks students to reach.
Who we work with
Capable students who are doing fine on paper but are ready to be challenged more seriously.
Families who want math to become a long-term advantage, not just this year’s grade.
Students aiming at honors courses, competitive programs, and accelerated tracks.
How it works
Northbound is built around three visible tools: a problem-solving framework, a diagnostic audit, and a curriculum map. Together, they show where a student is, what is missing, and what needs to be built next.
The core framework
FGS gives students a repeatable way to begin unfamiliar problems: define what must be found, identify what is given, then map the path between them.
In later physics and engineering work, the same structure expands into FGPS by adding the principle that connects the information to the solution. The foundation stays the same: clarity before action.
Find
Precisely define what you are trying to find. Not just the variable name: what it means in this context, what its units are, what a reasonable answer looks like.
Given
Precisely define what you have been given. Ask what each piece of information means, and how it relates to what you are trying to find.
Solve
Map a process from one end to the other. Move forward from the givens, work backward from the goal, and test whether each step actually connects.
The diagnostic
Every student begins with a 20–25 minute Skills Audit. It does not produce a generic score. It produces a mastery blueprint: what is solid, what is fragile, what is missing, and what should be built first. Without it, instruction is guesswork. With it, every session has a specific target.
The curriculum
The curriculum follows five tracks that mirror how mathematical reasoning develops: fluency, pattern recognition, strategy, proof, and application.
01
Algebra Foundations
Numerical fluency, operations, and the grammar of mathematical language. Without this, every later track is built on unstable ground.
02
Pattern Recognition
The ability to identify structure across problem types, see regularities, and understand why shortcuts work.
03
Strategic Thinking
Problem decomposition, multi-step planning, and the discipline of working through uncertainty.
04
Proofs
Formal reasoning, logical chains, and the ability to explain why a mathematical claim is true.
05
Applications
Transfer: the ability to apply rigorous thinking to new problems across domains.
Partnerships
Northbound is intentionally high-touch and low-volume. The coaching relationship is not designed to scale like a generic tutoring marketplace.
What can scale is the method: the diagnostic infrastructure, the FGS framework, and the curriculum architecture that help students build reasoning rather than memorize procedures.
We are interested in working with schools, enrichment programs, and aligned partners who want rigorous math instruction built around depth, structure, and transfer.
We are early, but the direction is clear. If you want to understand what we are building and why it matters, the best starting point is a direct conversation.
For schools & enrichment programs
Curriculum licensing, Skills Audit integration, and cohort coaching for student groups that need a stronger reasoning foundation.
For investors
We are open to conversations with people who understand education and want to back something with real intellectual grounding.
Join the team
We are building a small team of people who care deeply about rigorous instruction and the families this work serves. Skill matters. Ownership matters. The mission has to matter too.
Genuinely excellent
Families trust us with something important. Every session, problem set, message, and decision needs to be done with care.
Connected to the mission
Skill alone is not the bar. Students and families can feel the difference between someone performing care and someone who actually cares.
Accountable without being managed
This is a small team. The right people notice what needs to be done, close the gap, and communicate clearly.