Personalised mathematics education for students aged 8 to 18 who need greater breadth and depth.
Those needs may arise from:
High ability
When the usual pace or level of work does not provide enough challenge.
Strong curiousity
When a student wants to explore ideas beyond what is normally taught.
Ambitious goals
When a student is preparing for demanding competitions, examinations or future studies.
A demanding academic pathway
When school work becomes more advanced, faster-paced or dependent on strong foundations.
These needs often overlap, and their balance changes as students grow
When a student learns well, progress itself changes what they need next.
When high ability leads to ambitious goals
A student who initially needs greater challenge because of high ability may pursue goals that stretch that ability.
When curiosity is sustained by growing ability
Strong curiosity can take a student far beyond what they once imagined they could learn. Developing their ability gives them more freedom to follow that curiosity wherever it leads.
When the balance between ability and academic demands changes
High performers often qualify for selective pathways that are open only to high achievers. But academic demands can also increase within an existing pathway as students grow older. As the balance changes, the kind of help a student needs may change too.
Can you spot the same student?
We showed 3 categories above, but students often do not fit neatly into just one. In fact, among the 10 cards, there are only 8 unique students: one of them appears in 3 cards, once in each category.
It took the AI seven attempts to find that student. What about you?
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one row or text
For ages from 8 to 18
Together, these needs naturally call for greater breadth and depth in mathematics. This is the kind of learning we specialise in.
When students with these needs find us
A few messages we have received over the years.
But aren't all children curious?
Children can be very curious. But staying curious in a classroom can be difficult.
Curiosity has a window of opportunity
Asking questions is a skill that needs practice. It is easier to ask when the ideas are still simple.
Much later, when ideas have become entangled with each other, a student may not even know what to ask or how to ask it.
Even when they can frame the question, a proper explanation may depend on earlier ideas the student does not understand, leading to more questions further and further back.
At that point, pursuing the question in class may no longer be productive.
Catching up competes with keeping up
Curiosity does not always lead forward. It often reveals gaps in our previous understanding.
But classrooms move forward. There is a syllabus to cover, a test next week, an assignment due. Going back to investigate those gaps means taking time away from what students are expected to learn now.
Mental acrobatics can work well in exams
Conscientious and self-motivated students may sometimes keep up by memorising procedures, recognising examination patterns and learning to apply the "right" rules.
Survivorship bias behind mental acrobatics
Students differ in memory, pattern recognition and their ability to manipulate abstract rules without fully understanding what lies underneath.
Those with strengths in these areas can navigate many examinations successfully by memorising steps, recognising patterns and cleverly using plug-and-chug methods.
When we see these students succeed, it can appear as though curiosity and deeper understanding were never necessary.
Despite all this, some students stay curious
Sometimes, a student with strong curiosity also has high ability. For them, curiosity may not conflict strongly with progress. They may perform mental acrobatics to keep up when necessary, while still having enough capacity to question the ideas underneath. They can also postpone a question without losing their curiosity.
Not all students with strong curiosity have the same advantage. They may find classroom learning frustrating. When their attention is drawn towards something they want to understand or explore, they may lose pace with the lesson and fall short of expected benchmarks in checkpoint exams.
What to expect from our lessons
We take pride in creating the best lessons we can for students who need greater breadth and depth.
More than mental acrobatics
We model what it looks like to treat mathematics as something with deeper meaning — something that can be understood, questioned and connected, rather than just a set of mental acrobatics.
For some students, this is not an attitude they often encounter elsewhere.
Understand enough to keep going
Some students, by habit or necessity, will gravitate back towards mental acrobatics.
We do not insist that they understand every detail before moving on. Instead, we help them build a working "vocabulary" of ideas they understand well enough for mathematics to remain a coherent story.
Becoming the kind of person who can be confident in math
We curate problems that students can work out by creatively using what they already know. When they get stuck, we negotiate how much help to give and strategise with them about what to try next.
When learning a new topic, we also explore how its anchor problems can be worked out from first principles using ideas from previous topics.
Customised curriculum for individual progress
We allow students to accelerate when they are ready, and slow down when something underneath needs strengthening. Whether accelerating or catching up, our approach is the same: start with the simplest idea the student does not yet know.
School curriculum support
Enrichment is not always the immediate priority.
When schoolwork requires more attention, we may temporarily put broader exploration aside to catch up, strengthen foundations and address gaps.
Problem-solving and Math Olympiad
How do people who are naturally strong at problem-solving approach unfamiliar problems? We teach their habits and heuristics to our students. Our benchmark is whether, over time, our students' approaches become less distinguishable from those of naturally strong problem-solvers.
We use Math Olympiad problems as a training ground for this.
For our purposes, competency at around the lower-secondary competition level is often enough to support future curiosity, goals and academic demands.