The strong humanistic and ethics-oriented philosophy of Confucianism tends to lead people influenced by these principles to undervalue the importance of hands-on practice and creativity in education. GreenMech, a science and technology contest, was implemented to encourage real-world, hands-on problem solving in an attempt to mitigate this effect. The self-reported attitudes, values, and intentions of 684 GreenMech participants from elementary, junior high, and senior high schools in Taiwan were subjected to confirmatory analysis with structural equation modeling to test the hypothesized model. The research findings revealed that the students’ problem-solving attitude is positively correlated to their perception of their own knowledge enrichment and thinking-skill enhancement as a result of participating in GreenMech. The findings also suggest that these perceived advantages positively influenced the intention to participate in future contests. This indicates that a highly competitive contest can be used to promote awareness of opportunities, which may enhance thinking skills and enrich knowledge.