Insider Strategies for the TJ Problem Solving Essay (PSE)

The Problem Solving Essay (PSE) is often considered the most challenging—and most important—component of the TJ admissions process. Unlike standardized tests that measure what you know, the PSE evaluates how you think, reason, and communicate complex ideas under pressure.

As TJ alumni who have reviewed countless practice essays and coached students through this process, we've developed a deep understanding of what separates exceptional PSE responses from average ones. This guide shares those insights.

What the PSE Actually Measures

Before diving into strategies, it's crucial to understand what evaluators are looking for. The PSE isn't a test of prior knowledge—it's designed to assess:

• Analytical reasoning: Can you break down a complex problem into manageable components?
• Logical thinking: Do your conclusions follow logically from your premises?
• Communication clarity: Can you explain your reasoning in a way others can follow?
• Creativity: Do you approach problems from unique angles?
• Mathematical fluency: Can you apply quantitative reasoning appropriately?

The PSE isn't about getting the "right" answer. It's about demonstrating a rigorous, thoughtful approach to tackling unfamiliar challenges.

The PSE Format Explained

The PSE presents students with open-ended, scenario-based problems that require written responses. You'll typically have around 45 minutes to complete the essay section, though exact timing may vary.

Problems often involve:

• Data analysis and interpretation
• Scientific or mathematical reasoning
• Logical deduction from given information
• Proposing and defending solutions
• Evaluating trade-offs and constraints

The STAR Framework for PSE Responses

We recommend structuring your PSE responses using the STAR framework, adapted specifically for problem-solving essays:

S - State the Problem Clearly

Begin by demonstrating that you understand the problem. Restate it in your own words, identify key constraints, and clarify what you're being asked to solve. This shows evaluators you've read carefully and thought critically about the prompt.

T - Think Through Your Approach

Before diving into calculations or solutions, outline your reasoning strategy. What principles or methods will you apply? Why did you choose this approach over alternatives? This metacognitive step is often what distinguishes top-scoring essays.

A - Apply Your Reasoning

Now execute your plan. Show your work clearly, explain each step, and make your logical connections explicit. If you use math, explain what the numbers mean in context. If you make assumptions, state them clearly.

R - Reflect and Validate

Conclude by checking your work. Does your answer make sense? Are there limitations to your approach? What would you do differently with more time or information? This demonstrates intellectual maturity.

Five Strategies That Set Top Essays Apart

1. Show Your Reasoning, Not Just Answers

The biggest mistake students make is jumping straight to an answer without explaining their thought process. Evaluators award points for clear, logical reasoning—even if the final answer isn't perfect. Write as if you're explaining your thinking to a smart friend who hasn't seen the problem.

2. Use Concrete Examples

Abstract reasoning is good, but concrete examples are better. If you're making a general claim, illustrate it with a specific case. If you're proposing a solution, show how it would work in practice with actual numbers or scenarios.

3. Consider Multiple Approaches

Strong essays often acknowledge that there are multiple ways to tackle a problem. Even if you commit to one approach, briefly mentioning alternatives (and why you chose your method) demonstrates intellectual flexibility.

4. Address Limitations Honestly

No solution is perfect. Acknowledging the limitations of your approach—whether due to time constraints, missing information, or simplifying assumptions—shows sophisticated thinking. This isn't a weakness; it's a strength.

5. Write Clearly and Concisely

Evaluators read hundreds of essays. Clear, well-organized writing that gets to the point is deeply appreciated. Use short paragraphs, clear transitions, and precise language. Avoid filler words and unnecessary complexity.

Common PSE Pitfalls to Avoid

1. Rushing to answer without reading carefully. Many students lose points by misunderstanding the prompt. Take time to read thoroughly.
2. Skipping the explanation. An answer without reasoning is worth very little. Always show your work.
3. Overcomplicating simple problems. Sometimes the elegant solution is the simple one. Don't add complexity for its own sake.
4. Running out of time. Poor time management means incomplete responses. Practice pacing yourself.
5. Illegible handwriting. If evaluators can't read your response, they can't score it well.

How to Practice Effectively

The PSE rewards practiced problem-solvers. Here's how to build your skills:

• Take timed practice tests. Simulate real conditions with similar time constraints.
• Review sample prompts. Familiarize yourself with the types of problems you'll encounter.
• Get feedback on your writing. Have a teacher, tutor, or mentor review your practice responses.
• Study strong examples. Analyze what makes high-scoring essays effective.
• Build foundational skills. Strong math and science fundamentals make reasoning easier.

Final Thoughts

The PSE can feel intimidating, but remember: every successful TJ student has navigated this same challenge. With thoughtful preparation and the right mindset, you can write a compelling essay that showcases your unique problem-solving abilities.

Focus on the process, not just the answer. Think out loud on paper. And trust that your genuine intellectual curiosity will shine through.