1-on-1 Math Olympiad Coaching · Grades 4–12 · Taipei
Math Olympiad, from technique to insight.
Math olympiad coaching for Grades 4–12 international school students preparing for AMC 8, AMC 10, AMC 12, AIME, and SASMO, with USAMO and IMO-level coaching available for qualified students. The program builds the problem-solving heuristics olympiad mathematics rewards, develops the mathematical maturity that holds up under non-routine problems, and carries the student from their first competition sitting into the higher tiers when the preparation supports it.
What Students Learn
Olympiad mathematics at the level these competitions reward.
Parents come to Math Olympiad at Harland looking for a coach who can read olympiad problems with the eye of someone who has done this seriously, who knows what AMC and AIME problems are asking, and who can help their child move from strong school math into competition-level problem solving. The program covers what olympiad mathematics demands. Reading a non-routine problem and recognizing the structure underneath, before reaching for any technique. Building fluency in number theory, combinatorics, and the olympiad versions of algebra and geometry, including the topics most school curricula do not formally cover. Developing the heuristics that bind problem types together: invariants, extremal principles, parity arguments, pigeonhole, well-ordering. Holding a hard problem long enough to find the path through, rather than abandoning it for an easier one. Writing a solution that earns full credit from a careful reader, especially for the proof-based USAMO and USAJMO papers. These are the skills behind every solution that places well, because olympiad problems test the mathematical thinking school curricula do not yet teach.
School math and olympiad math reward different things. School math rewards procedural accuracy. Olympiad math rewards insight. A student who can apply the quadratic formula perfectly is doing something different from a student who can recognize when a problem only looks like it wants the quadratic formula and is asking for something else. School math presents well-shaped problems with the matching technique signposted. Olympiad math presents unfamiliar problems where the student has to choose, combine, or invent the right approach. Most international school instruction prepares students for the first kind of math. Math Olympiad is where the second kind gets coached.
Math Olympiad at Harland follows a unit-based pathway tied to the competition ladder the student is targeting. Pathways typically span two to four units depending on the student's starting point and the tier they are targeting. A student working toward their first AMC sitting may complete in two units, building topic fluency and competition stamina across foundation and ramp-up. A student who already qualifies for AIME and is aiming for USAMO or USAJMO may run three or four units across the cycle, adding proof writing and the deeper material the higher tiers require. Each unit closes in a defined deliverable: a benchmark score on a past AMC paper, a clear pattern of recognition across a topic area, a written proof that holds up under review. After each unit, the pathway is reviewed and adjusted around what the unit has revealed. Harland's program decides what gets coached. The student's specific competition tier and starting point are what the coaching is built around. That is what lets progress compound year over year.
Progress shows up in places parents can see. A student who reads a non-routine problem and sees its structure on the first pass. Past AMC papers attempted under timed conditions with scores that improve cycle on cycle. Solutions written out in full sentences that show the reasoning. A student who comes home from an AMC sitting able to talk through how the problems went.
How We Teach It
Olympiad math coached through the problems each student is working on.
Harland's pedagogy is content-based learning. Problem-solving heuristics, topic fluency, and mathematical maturity develop through the olympiad problems the student is engaging with, not through generic skill drills. Lessons center on past competition papers, targeted topic sets, and the specific problems where the student stalled, with a coach whose own background is in serious olympiad mathematics.
For Grades 4–12, that means lessons calibrated directly to the student's competition tier. A student in their AMC-readiness unit moves through past AMC problems, building familiarity with the problem types and the technique-recognition layer that fast multiple-choice mathematics requires. A student in their AIME-readiness unit shifts from formula-recognition into depth, taking on three-hour problems that require sustained attention and clever insight. A student in their USAMO-readiness unit develops the proof-writing skill that AIME's integer-answer format does not yet test, learning to construct a solution that earns full credit from a careful reader.
Olympiad mathematics is also a question of mathematical maturity. Some students arrive with strong computational ability but pull back when problems do not yield to standard techniques. Some students think creatively but struggle with the precision olympiad solutions require. The 1-on-1 format gives coaches room to think in real time on the student's specific approach, asking the questions that develop insight rather than mechanical recall. They distinguish what the student is computing from what the student understands. Skill and mathematical maturity develop together. Neither moves far in isolation.
The format also lets coaches calibrate to the student's specific starting point. A student strong in computation but weak in problem recognition spends early units on topic-pattern fluency across the AMC problem types. A student strong in mathematical intuition but uneven in execution spends early units on the precision and time discipline that score well under competition pressure. A student returning from a prior AMC sitting addresses the specific gap the previous score revealed. Each pathway begins where the student is.
Curriculum and Competition Ladder
A pathway tied to the competition ladder.
Math Olympiad at Harland follows a unit-based pathway tied to the AMC competition ladder. AMC 10 and AMC 12 sit in early November each year. The top-scoring students from each qualify for AIME, which sits in February. Top-scoring AIME students (combined with their AMC score) qualify for USAMO or USAJMO, which sit in March across two days of proof-based papers. AMC 8 sits in January for younger students. The Singapore and Asian Schools Math Olympiad (SASMO) runs separately each spring. The Harland pathway is built around the ladder the student is targeting, with each unit closing in a deliverable that measures readiness for the next tier.
The program is built around the published rules and topic ranges of the competitions the student is preparing for. AMC 10 and AMC 12 are twenty-five multiple-choice problems in seventy-five minutes, with a scoring formula that credits correct answers, gives partial credit for blanks, and zero for wrong answers. AIME is fifteen problems with integer answers from 0 to 999, three hours, with no partial credit. USAMO and USAJMO are six proof-based problems across two days of four and a half hours each, with partial credit for partial solutions. SASMO uses its own scoring and topic structure. Where a student's school is already providing competition math support through a Mu Alpha Theta chapter, an AMC club, or a school math team, Harland complements that support rather than replacing it. In every case, Harland's program provides the spine.
Prerequisites and What Comes Next
Where Math Olympiad fits in your child's learning.
Before starting
Math Olympiad assumes a strong foundation in school-level mathematics at the student's grade and some independent interest in mathematical problem-solving beyond the textbook. Students whose foundation needs strengthening often benefit from the relevant subject program first: Mathematics (Grades K–8) for younger students, Algebra I, Algebra II, Geometry, or Pre-Calculus for high school. Olympiad mathematics draws on number theory and combinatorics that do not typically appear in the school curriculum until much later. The program teaches these alongside the AMC-readiness preparation.
For students entering an AMC sitting for the first time, the consultation and assessment class establishes their topic foundation and the competition tier the pathway should target. For students returning from a prior AMC or AIME sitting, the conversation starts from the previous score and what it revealed about specific topic gaps. For students arriving on a compressed timeline before an AMC date, the pathway prioritizes the topics and problem types most likely to lift the student's score in the time available. The Student Coordinator helps you choose the entry point that fits.
What comes after
The pathway extends as the student progresses up the ladder. Students who qualify for AIME continue into AIME-targeted units. Students who qualify for USAMO or USAJMO continue into proof-writing units, with USAMO and IMO-level coaching available by application for the highest-scoring students. Students continuing in mathematics beyond olympiad work often pair with Pre-Calculus for school-aligned rigor or Computer Science for the algorithmic thinking that complements olympiad problem-solving. Students using olympiad results in university applications often continue with College Application Essays, where mathematical competition experience contributes meaningful application material.
The longer-term aim of Math Olympiad is to make itself unnecessary. The program brings students to the point where hard mathematical problems are no longer obstacles to be cleared but puzzles to be approached with patience and care. Whether or not the student qualifies for AIME or USAMO in any given year, the development is real and visible: in how the student reads a problem, how they hold ambiguity, how they keep at it when the first approach fails. Universities reading these students' applications see grit, perseverance, and the determination to take a hard problem and stay with it. A parent who is no longer worried about whether their child can sit with a difficult problem and find their way through it is the point of all of it.
Common Questions
Common questions about Math Olympiad at Harland.
Who is Math Olympiad at Harland for? +
My child is strong at school math but stalls on competition problems. Is Math Olympiad right? +
Can my child begin Math Olympiad over the summer? +
What does the program cover? +
How long is each lesson and how often does my child attend? +
How are lessons scheduled, and what if we need to reschedule? +
How do you measure progress? +
How do we begin? +
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