Built for Building Thinking Classrooms

The platform
math class
has been waiting for.

A purpose-built adaptive learning system for the Building Thinking Classrooms methodology -- combining thin-sliced curriculum delivery, interest-tailored problems, and individual spiral practice into one seamless classroom experience.

Grounded in Liljedahl's Research Thin-Sliced Adaptive Questioning Full K-12 Curriculum Awareness Interest-Tailored Problems
The Pedagogy

Built on research that changed how we think about thinking.

Building Thinking Classrooms is a research-backed framework by Dr. Peter Liljedahl that shifts students from mimicking procedures to genuinely thinking mathematically. Students work at vertical whiteboards in randomized groups -- visible, collaborative, and in productive struggle.

"When students are working at vertical non-permanent surfaces in visibly random groups, they spend more time on task, engage in more collaborative thinking, and are more willing to take risks with difficult problems." -- Dr. Peter Liljedahl, Building Thinking Classrooms in Mathematics (2020)
15+
Years of classroom research behind the BTC methodology
100K+
Teachers implementing BTC across North America
3 yrs
BTC practice in this classroom before this platform was conceived
0
Purpose-built BTC platforms that exist anywhere in the world
The Platform

Everything BTC needs.
Nothing it doesn't.

Seven systems that work together invisibly -- so the teacher can teach and every student can think.

🎲
Visibly Random Grouping

Students roll a die. The platform assigns randomized groups and boards, animated across all 13 screens. Liljedahl's research is unambiguous: visible randomization changes classroom culture. This makes it effortless and consistent every single day.

🧩
Thin-Sliced Adaptive Questions

Each station receives curriculum-aligned questions in carefully incremented steps. Correct answer → advance. Wrong twice → a parallel question at the same level. No group sits idle. No group is abandoned. The thinking keeps flowing.

🎯
Interest-Tailored Problems

A start-of-year interest inventory maps each student's world. The same mathematical concept is then wrapped in contexts that resonate -- hockey stats, game design, visual art -- so the thinking starts from a place students already care about.

🔄
Individual Spiral Practice

Outside group time, students receive solo practice problems tailored to their personal interests -- and spiraling in previously covered outcomes throughout the year. Skills stay warm. Gaps resurface before they become failures.

📱
Real-Time Teacher Dashboard

Live view of all 12 stations on your iPhone. Colour-coded priority queue tells you who needs help, who is productively struggling, and who hasn't been visited. Consolidation freeze locks all 13 screens simultaneously for whole-class discussion.

📸
Automatic Whiteboard Capture

Ceiling cameras capture every board when groups submit an answer. Work is tagged with curriculum outcome codes, saved to Google Drive, and searchable by outcome, date, or group. A full year of student thinking, organized automatically.

Interest Inventory

The math doesn't change. The context does.

At the start of the year, students complete a brief interest inventory -- sports, music, gaming, art, cooking, fashion, whatever they actually care about. The platform uses those responses to wrap problems in familiar, engaging contexts, at both the class level for group work and the individual level for solo practice.

The curriculum outcome is identical. The thinking required is identical. The entry point is one a student actually wants to walk through.

🏫
Class-level context for group problems
The platform reads the aggregate interest profile of each class. A class skewed toward hockey players gets ratio problems built around salary cap math. A class of artists gets the same ratios through colour-mixing and canvas proportions.
👤
Individual context for solo practice
Each student's personal inventory drives their individual practice session. Two students working on the same outcome at the same level may receive entirely different problems -- both correct, both rigorous, both relevant to that specific student.
🔁
Updated over time
Interests change. Students can update their inventory at any point. The platform adjusts context generation without touching the underlying curriculum sequence.
Same outcome · Different entry points
Base problem
A rectangle has a length-to-width ratio of 3:2. If the width is 14 cm, what is the length?
↓ interest inventory applied ↓
⬡ Hockey fan
An NHL rink has a length-to-width ratio of 3:2. If the width of a practice rink is 14 m, how long should it be to keep the same ratio?
🎨 Visual artist
A canvas proportion follows a 3:2 ratio. If you want a 14 cm wide canvas with the same proportions as a standard photo print, what height do you need?
🎮 Gamer
A game map is designed with a 3:2 aspect ratio. If the map is 14 units wide on screen, what length gives the correct proportions?
Curriculum Intelligence

Thin slicing that actually knows the curriculum.

Thin slicing -- Liljedahl's term for carefully incremented problem sequences -- only works when the gaps between steps are genuinely small. That requires knowing where each concept sits in the full K-12 progression, not just within a single unit.

This platform is built on a complete, outcome-tagged curriculum map. Every question knows its grade level, its prerequisite concepts, and what comes next -- so the thin slice is always calibrated to where that student actually is.

K-2
Equal groups, repeated addition, arrays
Foundation
Gr 3-4
Multiplication facts, area models, distributive property
Foundation
Gr 5-6
Multi-digit multiplication, fractions as scaling, rates
Developing
Gr 7-8
Proportional reasoning, percent, algebraic expressions
← You are here
Gr 9-10
Linear relations, polynomial operations, factoring
Extending
Gr 11-12
Functions, transformations, quadratic and exponential models
Extending

The slice is only thin if you know the whole loaf.

Differentiation without tracking
A student working below grade level receives questions that step back to the prerequisite concept -- not a separate worksheet, not a different lesson. They're at the same board, in the same group, thinking at their level. The platform handles the branching invisibly.
Extension without a ceiling
A group that burns through the sequence doesn't hit a wall. The platform steps them forward into the next grade-level layer of the same concept -- keeping productive struggle alive for students who need more challenge.
Prerequisite diagnosis on the fly
When a group answers wrong twice, the system can step back to the prerequisite concept from a lower grade band, diagnose the gap, and return. That logic requires knowing the full K-12 map -- not just the current unit.
Cross-jurisdiction

The curriculum map supports multiple jurisdictions. Alberta, BC, Ontario, Common Core -- same questions, correctly tagged for each. One platform that works for any Canadian or American BTC classroom out of the box.

Session Flow

From bell to thinking in under two minutes.

1
Random Groups

Die rolled, groups assigned, boards revealed. Visible randomization fires every session -- no exceptions, no favourites, no negotiating.

2
Interest-Wrapped Questions

Each station's first question is calibrated to the group's level and wrapped in the class's interest context. The math begins from a familiar place.

3
Adaptive Branching

Correct answers advance the thin slice. Wrong answers trigger intelligent branching -- parallel questions or prerequisite diagnosis -- without teacher intervention at every decision point.

4
Teacher Circulates

Dashboard shows exactly where to go and why. Boards captured automatically. Consolidation moments surfaced live when they matter most.

Adaptive Logic

Smart branching that respects productive struggle.

The platform doesn't just check answers. It tracks attempt patterns and makes principled decisions about when to branch, when to escalate to the teacher, and when to step back into prior knowledge -- informed by a complete K-12 curriculum map at every branch point.

Correct answer
Group advances to the next question in the thin-slice sequence. Difficulty steps up incrementally. No ceiling for groups that move quickly -- the sequence extends into the next grade-band layer of the concept.
↔️
Wrong twice -- same concept
A parallel question at the same level gives the group another entry point into the concept. Reframes the problem without lowering expectations. If they succeed, the sequence resumes.
⬇️
Wrong on parallel -- prerequisite gap
The platform steps back to the prerequisite concept from the K-12 map and routes through it before returning. This is a diagnostic branch, not a punishment -- and the teacher's dashboard flags it for follow-up.
🔔
Open response -- human judgement required
Constructed-response questions route to the teacher's dashboard for review. The group sees a pending state. No wrong answer logged until the teacher evaluates. Keeps qualitative thinking in the sequence.
Question flow -- single station
Question N
Gr 7 · Proportional reasoning
Correct
Advance to Q N+1
Next thin slice
Wrong ×1
Still on Q N
Productive struggle
Wrong ×2
Parallel question
Same level, new context
Parallel OK
Resume Q N+1
Parallel ✗
Step back to Gr 6
Prerequisite diagnosis
Open Q
Teacher review
Dashboard flag
Individual Practice Mode

Skills stay warm. Gaps resurface before they become failures.

Outside of group BTC time -- at home, during a spare, or in a practice block -- students work through individually assigned problems. Two things make this different from a worksheet: the problems are tailored to that student's specific interests, and the system continuously spirals in previously covered outcomes throughout the year.

Forgetting is predictable. The platform uses that predictability deliberately -- resurfacing outcomes at intervals calibrated to keep knowledge fresh, not just to fill time.

Interest-matched, not interest-distracted
The context is motivating. The math is unchanged. A student who listed basketball as an interest doesn't get easier problems -- they get problems where the numbers live in a world they understand. Engagement lowers the activation energy for genuine thinking.
Spaced spiraling of the year's curriculum
Every few practice sessions, a question from an earlier unit resurfaces -- not as review for its own sake, but because the research on spaced retrieval is clear. Students who revisit material at intervals retain it significantly longer than students who see it once.
Calibrated to the individual, not the class
Individual practice draws on each student's own branch history from group sessions. If a student repeatedly struggled with a specific prerequisite in class, that concept resurfaces with higher frequency in their solo queue. The system notices what the teacher can't always catch in a room of thirty.
Digital or printed -- teacher's choice
Practice questions can be delivered directly to the student's station screen, or exported as a printed set to hand out. The platform generates either format from the same question bank. Useful for low-tech days, assessment contexts, or students who simply work better on paper.
Individual practice queue -- one student's session
Current unit · Circle area
A skateboard ramp's circular end has a radius of 4.5 m. What is its area?
🛹 SkateGr 7 · SS3
Current unit · Circumference
A basketball has a diameter of 24 cm. What distance does it travel in one full rotation?
🏀 BasketballGr 7 · SS3
Spiral · Proportional reasoning (Oct)
A game character moves 3 tiles per second. How many tiles in 2.5 minutes?
🎮 GamingGr 7 · N2
Current unit · Pi relationship
A vinyl record has a diameter of 30 cm. Estimate the circumference using π ≈ 3.14.
🎵 MusicGr 7 · SS3
Spiral · Percent (Sept)
A jersey is on sale for 35% off its original price of $120. What do you pay?
🏒 HockeyGr 7 · N3
Current unit · Area problem-solving
A circular spray-paint stencil has a diameter of 18 cm. What area does it cover?
🎨 ArtGr 7 · SS3
Teacher Dashboard

Know where to be before they ask.

The queue algorithm watches all 12 stations in real time. It knows who pressed the silent help button, who answered wrong twice, who hasn't had a visit in 15 minutes -- and crucially, it distinguishes productive struggle from genuine confusion.

"Stalled with no help request is possible productive struggle. Don't rescue immediately." -- BTC principle, built directly into the queue algorithm.

Station 7 -- Group C
Silent help button · 2 min ago
HELP
Station 3 -- Group A
Open response pending teacher review
REVIEW
Station 10 -- Group B
Stalled 9 min · no help request
OBSERVE
Station 5 -- Group D
Wrong ×2 · branched to Gr 6 prerequisite
BRANCHED
Station 1 -- Group E
No visit in 18 min
CHECK IN
Station 12 -- Group F
Sequence complete
DONE 🏁
Assessment Architecture

Formative and summative, finally speaking the same language.

Every layer of assessment in this classroom shares the same curriculum outcome codes. Formative evidence from group work and individual practice, summative data from SmarterMarks -- all pointing to the same outcomes, so reporting is synthesis rather than translation.

Group question delivery & branching Building
Platform logs every attempt, branch, and advance. Group-level formative data tagged to outcome codes, feeding the same pipeline as summative assessment.
Individual spiral practice Building
Solo practice sessions generate individual-level outcome data throughout the year. Struggle patterns in group work inform the spiral queue. The system closes the loop between formative and individual performance.
Whiteboard captures Building
Auto-captured images tagged with outcome code, group, and session. Visual evidence of thinking -- not just that an answer was submitted, but what the thinking looked like.
SmarterMarks -- summative Live · 8 yrs
Individual summative assessment, unchanged. The platform feeds into it -- formative patterns and spiral data inform which outcomes to prioritize before the summative moment.
Auto-generated report card comments Live · Jan 2025
Google Sheets pipeline already generates comments from outcome data. Platform data extends it -- richer evidence, same output, less teacher time at report card season.
What this looks like in practice
A student struggles with circle area in group work. The branch log shows two parallel attempts before success. That outcome surfaces in their individual spiral queue three weeks later -- resurfaced automatically at an interval shown to improve retention.
Two students receive the same spiral question about percent. One gets it framed around hockey jersey prices; the other around gaming microtransactions. Identical outcome, identical rigour -- different contexts drawn from their September interest inventories.
A board photo tagged AB_Math7_SS3_CircleArea is saved to Drive automatically. Before parent interviews, the teacher pulls every photo for that outcome for that student. Visual evidence of thinking, not just a score.
At report card time, the pipeline has outcome-level data from group branches, individual spiral performance, and summative scores. Comments write themselves from the evidence. The teacher refines -- they don't start from scratch.
The Classroom Setup

Designed around the tools BTC already uses.

Wipebooks. Vertical surfaces. Randomized groups. The platform doesn't replace the physical classroom -- it supercharges it. Every hardware decision was made to respect the BTC environment and EPSB facility requirements.

🖥️
EPSB-approved 2-in-1 laptop at every station

Touchscreen 2-in-1s in tent mode sit on or beside each whiteboard tray. No drilling, no mounted hardware, no wall damage -- EPSB facilities-friendly by design. Students reach the screen comfortably for answer submission and individual practice.

📷
5 ceiling cameras cover all 12 boards

Wide-angle PoE IP cameras mounted on the suspended wood frame ceiling. Nothing at student height to knock over or fidget with. Calibrated once and forgotten.

📵
No student phones required

Answer submission, whiteboard saves, individual checkpoints, and practice sessions all happen on the station screen. Alberta's phone policy respected entirely -- by design, not as an afterthought.

Phase 1 Hardware Budget

Best Buy Teen Tech Grant. School PAC.

A complete classroom kit -- 12 touchscreen 2-in-1 laptops, 5 ceiling cameras, and the networking and mounting to tie them together -- sized to fit the Best Buy Teen Tech Grant cap with margin. The grant funds exactly this kind of technology-in-learning initiative.

12 × Touchscreen 2-in-1 Laptops
EPSB-approved · Acer Spin 512 / Lenovo 300e Yoga class · station display + practice device
~$7,000
5 × Wide-Angle PoE IP Cameras
Ceiling mount · suspended wood frame · one-time calibration
~$875
Networking & Mounting
PoE switch · Cat6 cabling · camera mounts · laptop stands · cable management
~$1,250
Tax & Contingency
Buffer against unit price drift and shipping
~$850
Phase 1 Total
Best Buy Teen Tech Grant cap: $10,000 CAD
~$9,975

Software development cost: $0. Built entirely in-house on existing infrastructure. The ask is hardware, not development fees.

The Opportunity

A first-mover moment in educational technology.

BTC has spread faster than any educational framework in recent memory. The platform teachers need to run it properly doesn't exist yet. That's the opening.

0

Purpose-built BTC platforms exist anywhere in the world. The problem is universal. Every BTC teacher manages question flow manually. This solves that.

3 yr

Of BTC practice in this classroom before a line of code was written. Every design decision comes from lived experience, not theory.

100K+

Teachers implementing BTC across North America. A polished platform with interest-tailored questions, spiral practice, and curriculum mapping has a ready audience the moment it ships.

The Ask

Support a teacher building the future of his classroom this summer.

The platform builds over the summer. By September, students in this classroom experience something that doesn't exist anywhere else in education. The only ask is hardware support -- the software is already being built.

Mr. Greg Duguid
Math & Band Teacher · EPSB · 15 years · BTC Practitioner · Builder
Attended the first-ever BTC Annual Conference (Phoenix, 2024)
3 years of BTC classroom implementation informing every design decision
Full platform built in-house -- PHP, MySQL, JavaScript, Google Apps Script
Software development cost: $0 -- no vendor, no contract, no recurring licence fee
Phase 1 hardware eligible for Best Buy Teen Tech Grant and School PAC
Platform designed from day one to scale to any BTC classroom in any jurisdiction