Private math coaching for ambitious middle school students
Math fluency isn’t about
working harder.
It’s about thinking differently.
We build that kind of thinking, deliberately, from the ground up.
Most instruction teaches your child what to do. Northbound teaches them why it works, the shift that makes advanced coursework, competitive exams, and accelerated placement feel achievable rather than out of reach.
Have questions first? See what other parents ask.
Two programs: 1-on-1 coaching ($350/mo) and Polaris group cohort ($250/mo).
Building the foundation
Your child understands the steps. They don’t yet understand why.
Most students who plateau in math aren’t stuck because they lack ability. They’re stuck because instruction moved on before understanding was complete. We go back to the fracture, rebuild it with depth, and then move forward faster than before. Not remediation. Reconstruction.
Raising the ceiling
Your child is already doing well. Good enough isn’t the goal.
Private school, built-in support, strong grades, and still room to go further. Competitive program placement, boarding school mathematics, and advanced coursework demand a level of conceptual fluency that classroom instruction rarely develops. We build the rigorous thinking that turns a capable student into an exceptional one.
Whether your child needs to close a gap or open a ceiling, the method is the same. We teach them to think about problems, not just solve them. That thinking is what opens doors to honors tracks, competitive programs, and early acceleration.
This program is built for
Capable students who haven't been pushed hard enough yet.
Families who believe mathematical depth unlocks long-term opportunities.
Students aiming at honors courses, competitive programs, and accelerated tracks.
Who I Am
Joshua Smith
Most of the students I work with aren’t held back because they lack ability. They’re held back because they were never taught to think through a problem, only to execute the steps. Once that distinction clicks, everything moves fast.
I started college at 14 and began full-time engineering classes at 15. I want to create that kind of trajectory for motivated middle school students by providing the mathematical thinking that opens accelerated paths and keeps them open. I work with students who are committed to going further, faster than their current environment takes them.
I work with a small number of families at a time, never more than eight per quarter, so every student gets a program built around how they actually think, not a template. And when students work alongside peers who hold the same standard, share their progress, and push each other on hard problems, the ceiling moves. That is what every Northbound program is designed to build.
In their words
What students and parents say.
These are students Joshua worked with before Northbound was a structured program. The method was already there. The system came later.
Outcomes
- —
Standard 7th grade placement → Honors mathematics through accelerated mastery and above-grade-level work
- —
8th grader prepared for rigorous private high school geometry through a focused summer intensive
- —
Elementary students solving problems 2 grade levels ahead within targeted concept areas
The track record
“I enjoyed his push to challenge me which helped me enhance my study habits and overall get me more ready for middle school. I learned about reciprocals ahead of time to help me when I needed it at school.”
Parent
“He made learning math fun. Super patient. Super professional.”
“I like how Joshua makes fun challenges, and if I got a math problem wrong he would not be mad. Joshua taught me how to do long division 100%.”
Parent
“Joshua does a great job of balancing the student learning needs and challenging them with new material.”
Limited availability. Currently accepting 5–8 families per quarter.
The Program
Everything inside $350/month
One investment. A complete system designed for problem-solving fluency from day one.
Total program value
$1,100+/month
Your investment
$350/month
Skills Audit & Mastery Blueprint
20–25 minute diagnostic evaluation pinpointing conceptual gaps, complete parent walkthrough with strategic insights, and a personalized 8-week advancement plan aligned with long-term academic goals
Private Academic Mentorship
Four private 60-minute sessions monthly via Zoom. Individualized instruction targeting conceptual depth, problem-solving fluency, and mathematical maturity beyond grade-level expectations
Curated Daily Problem Sets
Three strategically selected problems daily (maximum 15 minutes). Mastery-focused practice with daily review and detailed feedback on student work
Performance Analytics & Mindset Development
Systematic tracking of academic confidence and conceptual understanding. Positive reinforcement after each session to build resilient mathematical identity
Executive Progress Briefings
30-minute monthly Zoom consultations with parents. Transparent reporting on skill development, upcoming objectives, and strategic recommendations
Concierge Academic Support
Priority email access with 24-hour response guarantee. Responsive problem-solving support between sessions
How It Starts
Every student begins with a Skills Audit.
Before any session, every student completes a 20–25 minute diagnostic. The result is not a score. It is a personalized mastery blueprint that maps exactly where the gaps are and what the next 8 weeks look like. This report is the foundation of both the 1-on-1 program and Polaris cohort placement.
The interactive preview below is a sample Skills Audit report, the same format every enrolled student receives.
Northbound Tutoring
Your child’s report
is ready.
This Skills Audit report was prepared exclusively for your family. Enter the access code from your delivery email to continue.
Northbound · Group Coaching
Polaris
Six students. Weekly sessions. A curated peer group where taking hard problems seriously is the standard.
For students who are ready to go further than their school takes them. Founding cohort rate: $250/month.
Get Started
How to Apply
A straightforward process designed for decisive families.
Complete the Skills Audit
A 20-minute diagnostic your child works through on their own. It maps current mathematical thinking and surfaces the gaps worth addressing.
Review call (30 minutes)
Joshua reviews the results with you and your child. You'll talk through what you're hoping the program does for them, then go into exactly where they are and what the path forward looks like. This call is useful on its own.
Enroll
If the fit is right, you'll receive a secure enrollment link. The spot is yours once confirmed.