As a teacher or coach, you play a pivotal role in shaping students' mathematical journeys. The Singapore and Asian Schools Math Olympiad (SASMO) offers your students an extraordinary opportunity to develop advanced problem-solving skills, build confidence, and compete alongside peers from across Asia. But coaching for competition mathematics requires different strategies and approaches than regular classroom teaching. This comprehensive guide provides educators with proven strategies to prepare students for SASMO success.
Understanding Your Role as a Competition Coach
Coaching for math olympiad differs significantly from regular mathematics teaching. Your role shifts from knowledge transmitter to facilitator of mathematical thinking and discovery.
The Coach as Facilitator
In competition mathematics, you cannot simply teach students what to know—you must guide them to discover how to think. This requires a fundamental shift in teaching approach:
Ask, don't tell: Guide students to discover solutions rather than showing them methods
Embrace struggle: Allow students to wrestle with difficult problems before offering help
Celebrate process: Value the thinking process as much as correct answers
Encourage multiple approaches: Show that problems often have many valid solution paths
This facilitator role can feel uncomfortable at first, especially for teachers accustomed to direct instruction. But it's essential for developing the independent thinking skills needed for competition success.
Building a Coaching Philosophy
Before diving into specific strategies, establish your coaching philosophy. Consider these questions:
What do you want students to gain from the experience beyond competition results?
How will you balance challenge with support?
What values do you want to emphasize—effort, creativity, collaboration, perseverance?
How will you define success for your students?
Your answers to these questions will guide your coaching decisions and help you create a positive, productive learning environment.
Identifying and Selecting Students
Not every student needs to compete in SASMO, and not every competitor needs intensive coaching. Thoughtful student selection and placement sets the foundation for success.
Recognizing Competition Potential
Look beyond high test scores when identifying students who might thrive in SASMO. Signs of competition potential include:
Curiosity: Students who ask "why" and "what if" questions
Persistence: Students who don't give up easily on difficult problems
Creative thinking: Students who find unusual solution approaches
Pattern recognition: Students who notice mathematical relationships
Enthusiasm: Students who get excited about challenging mathematical ideas
Some students with modest school grades may surprise you with their competition performance. Keep an open mind about who might excel.
Creating Inclusive Participation
While elite competition success requires significant commitment, SASMO offers value to students at all levels. Consider creating multiple participation tiers:
Tier 1: Introduction (All interested students)
Open to any student who wants to try
Basic problem-solving enrichment integrated with regular curriculum
Low-pressure introduction to competition-style problems
Tier 2: Development (Committed students)
Regular practice sessions (1-2 times per week)
Systematic skill development across olympiad topics
Preparation for SASMO participation
Tier 3: Elite (Highly committed students)
Intensive training program (3-4 times per week)
Advanced topics and sophisticated problem-solving strategies
Goal of top performance in SASMO and qualification for further competitions
This tiered approach allows every interested student to participate at their level while providing intensive support for those pursuing excellence.
Designing an Effective Training Program
A well-structured training program balances skill development, practice, and psychological preparation.
Curriculum Framework
Organize your training around the core topic areas of SASMO:
Number Theory:
Divisibility rules and properties
Prime numbers, factors, and multiples
Remainder problems and modular arithmetic
Number patterns and sequences
Algebra:
Equations and systems of equations
Inequalities
Functions and their properties
Sequences and series
Geometry:
Properties of triangles, circles, and polygons
Angle relationships and theorems
Area and volume calculations
Coordinate geometry
Combinatorics:
Counting principles (addition, multiplication)
Permutations and combinations
Pigeonhole principle
Basic probability
Logic and Problem-Solving:
Logical reasoning puzzles
Systematic listing and organization
Working backwards strategies
Proof techniques appropriate to level
Weekly Training Structure
For the development and elite tiers, structure weekly training sessions strategically:
Session 1: Concept Introduction (60-90 minutes)
Introduce new topic or technique
Work through examples together
Guided practice with immediate feedback
Discussion of multiple solution approaches
Session 2: Problem-Solving Practice (60-90 minutes)
Students work independently on problem sets
Focus on applying recently learned techniques
Include mix of difficulty levels
Individual feedback and guidance
Session 3: Collaborative Problem-Solving (60 minutes)
Students work in pairs or small groups
Tackle challenging problems together
Present solutions to peers
Learn from different approaches and perspectives
Session 4 (Elite only): Mock Competition (90-120 minutes)
Simulated competition conditions
Timed practice with actual past papers
Builds stamina and time management skills
Followed by thorough review and discussion
Progressive Difficulty
Structure problem sets with progressive difficulty to build confidence and skills:
Warm-up problems (20%): Straightforward application of recently learned techniques
Core problems (50%): Require deeper thinking and technique combination
Challenge problems (25%): Push students beyond comfort zone
Bonus problems (5%): Extremely difficult problems for advanced students to explore
This structure ensures all students experience success while being appropriately challenged.
Teaching Problem-Solving Strategies
Beyond content knowledge, students need a toolkit of problem-solving strategies they can apply flexibly.
The Strategy Toolbox
Teach students these core strategies explicitly:
1. Draw a Diagram
Visual representation often reveals hidden relationships
Especially powerful for geometry and word problems
Encourage neat, labeled diagrams
2. Work Backwards
Start from desired outcome and trace steps backward
Useful for problems with specific end conditions
Helps identify necessary conditions for solution
3. Look for Patterns
Examine small cases to identify patterns
Generalize from specific examples
Use patterns to predict or prove results
4. Organize Systematically
Make organized lists or tables
Ensure all cases are considered
Avoid counting duplicates or missing cases
5. Consider Extreme Cases
Test boundary conditions or special cases
Gain insight into general behavior
Verify solutions or identify errors
6. Use Algebraic Representation
Translate word problems into equations
Use variables to represent unknowns
Apply algebraic techniques to solve
7. Eliminate Possibilities
For multiple-choice: eliminate obviously wrong answers
For proof problems: rule out impossible cases
Narrow down solution space systematically
8. Solve a Simpler Version
If problem is too complex, solve easier version first
Gain insight from simpler case
Extend approach to original problem
Making Strategies Explicit
Don't assume students will discover these strategies on their own. Teach them explicitly:
When introducing a problem, ask: "What strategies might work here?"
After solving, discuss: "What strategy did you use? Could you have used a different one?"
Create a "strategy wall" in your classroom displaying the techniques
Encourage students to identify which strategies work best for different problem types
Developing Strategic Flexibility
The goal isn't just to know strategies, but to choose and apply them flexibly. Build this flexibility through:
Presenting the same problem and asking students to solve it multiple ways
Comparing efficiency of different approaches
Discussing when each strategy is most appropriate
Analyzing why certain strategies fail for particular problems
Creating a Positive Learning Culture
The culture you create in your training program significantly impacts student motivation, resilience, and success.
Emphasizing Growth Over Performance
Create a culture where growth and learning are valued over immediate performance:
Celebrate improvement, not just achievement
Normalize struggle as part of learning
Share your own experiences with difficult mathematical problems
Avoid comparing students to each other
Frame mistakes as learning opportunities
This growth-oriented culture reduces anxiety and encourages students to take on appropriate challenges.
Building Peer Collaboration
Mathematics competition is individual, but preparation can and should be collaborative. Build a strong peer learning community:
Pair students for regular problem-solving sessions
Create small study groups that meet outside formal training
Have students present solutions to peers
Encourage advanced students to mentor newer participants
Organize team problem-solving challenges
Collaborative preparation builds communication skills, exposes students to different approaches, and creates a supportive community.
Managing Competition and Comparison
Some competition between students can be motivating, but unhealthy comparison can be damaging. Manage this carefully:
Emphasize personal improvement over relative standing
Avoid public ranking or comparison of students
Celebrate each student's unique strengths and contributions
Remind students that they're competing against the problems, not each other
Create team goals alongside individual goals
Preparing Students for Competition Day
Beyond mathematical preparation, students need specific readiness for the competition experience itself.
Simulating Competition Conditions
Regular mock competitions under realistic conditions build confidence and reveal areas for improvement:
Use actual SASMO past papers when available
Replicate timing, seating arrangements, and rules
Minimize interruptions and maintain formal atmosphere
Have students complete answer sheets properly
Grade strictly but provide constructive feedback
Start mock competitions 6-8 weeks before SASMO and increase frequency as the event approaches.
Teaching Time Management
Time management is crucial for competition success. Help students develop this skill explicitly:
Practice dividing time across problems based on point value and difficulty
Teach the "three-pass" approach: easy problems first, medium second, hard last
Establish time checkpoints: "By 30 minutes, you should have completed..."
Practice recognizing when to move on from a stuck problem
Build in review time at the end
Time management improves with practice, so incorporate it regularly into training sessions.
Psychological Preparation
Help students develop the mental readiness for competition day:
Discuss and normalize competition anxiety
Teach simple relaxation techniques (deep breathing, positive self-talk)
Practice visualization of successful competition experience
Emphasize process goals over outcome goals
Remind students that doing their best is what matters
Your calm, confident attitude about the competition sets the tone for students.
Supporting Students Through the Competition Journey
Your role extends beyond training sessions to supporting students throughout their competition experience.
Communication with Parents
Keep parents informed and engaged as partners in their child's mathematical journey:
Send regular updates about training schedule and expectations
Explain the philosophy and goals of your program
Provide resources for parents to support preparation at home
Communicate realistically about competition demands and time commitment
Share information about competition logistics and requirements
Educated, supportive parents significantly enhance student success and well-being.
Handling Setbacks and Disappointment
Not every student will achieve their competition goals. Your response to setbacks teaches powerful lessons about resilience:
Acknowledge disappointment without minimizing it
Help students separate performance from self-worth
Focus on learning and growth from the experience
Share examples of successful people who faced setbacks
Guide students in constructive reflection: "What can we learn? What will we do differently?"
Your response to failure models healthy attitudes for students.
Celebrating Success Appropriately
When students achieve success, celebrate in ways that reinforce positive values:
Acknowledge effort and strategy, not just results
Celebrate as a team—everyone contributed to the supportive environment
Avoid creating pressure to maintain the same level in future
Encourage successful students to support and mentor peers
Recognize improvement and personal bests alongside medals
Continuous Improvement as a Coach
Effective coaching requires ongoing learning and reflection on your part as well.
Professional Development
Invest in your own growth as a competition coach:
Study past SASMO papers and solutions thoroughly
Attend coaching workshops or training sessions if available
Connect with other math olympiad coaches to share strategies
Read books on coaching mathematics competitions
Stay current with developments in mathematics education
The best coaches are also lifelong learners.
Reflecting on Your Coaching
After each competition cycle, reflect on your coaching effectiveness:
What worked well? What would you do differently?
Which students thrived, and what supported their success?
Where did students struggle, and how can you better prepare them?
How effectively did you balance challenge and support?
Did you create the learning culture you intended?
Honest reflection drives continuous improvement in your coaching practice.
Building a Sustainable Program
Think beyond individual competition cycles to build a sustainable, long-term program:
Document your curriculum and resources for future reference
Develop relationships with feeder schools and teachers
Create alumni networks where former participants support current students
Build relationships with mathematics departments at local universities
Advocate for institutional support for competition mathematics
A sustainable program benefits students for years to come.
Conclusion: Shaping Mathematical Minds
As a SASMO coach, you're doing more than preparing students for a competition—you're shaping how they think, how they approach challenges, and how they see themselves as learners. The impact of your coaching extends far beyond competition results.
The students you coach will carry forward the problem-solving skills, the growth mindset, the perseverance, and the love of mathematics that you help cultivate. Some will go on to compete at higher levels; others will apply these skills in careers and lives you may never see. All will be changed by the experience.
Embrace the challenge and the privilege of coaching competition mathematics. Your dedication, your expertise, and your belief in your students make all the difference. You're not just preparing competitors—you're developing the next generation of mathematical thinkers and problem-solvers.
The journey of a thousand mathematical discoveries begins with a single coach who believes in their students. That coach is you. Lead them well.
