A strong foundation in mathematics is essential for high school students, not only for academic achievement but also for developing confidence in their own ability to approach complex problems. Too often, students are eager—or pressured—to leap ahead into advanced topics without first mastering the basics. While this might seem like an efficient way to accelerate learning, it often undermines long-term understanding and can leave students feeling overwhelmed and discouraged.

Mathematics is inherently cumulative: algebra builds on arithmetic, calculus builds on algebra, and so on. Without a secure grasp of core concepts such as fractions, decimals, ratios, or basic algebraic manipulation, students struggle when faced with higher-level material. They may attempt to memorise procedures instead of understanding the reasoning behind them, which quickly unravels when problems become less familiar. This creates frustration and fosters the belief that they are “not good at maths,” when in reality the issue is an insecure foundation.

Focusing on fundamental skills allows students to develop mathematical fluency and flexibility. When a learner understands the “why” as well as the “how,” they can recognise patterns, make connections across topics, and approach problems with creativity. This not only makes advanced material more accessible, it also builds the confidence that comes from genuine competence. A student who can confidently manipulate equations or interpret graphs is far more likely to persevere with challenging material than one who feels constantly on shaky ground.

Moreover, a solid foundation encourages a growth mindset. Success in mastering the basics shows students that progress in mathematics comes through practice and persistence, not innate talent. This mindset is crucial as they encounter more abstract and complex ideas in later years.

Ultimately, building strong foundational knowledge is not about holding students back; it is about equipping them with the tools to move forward with confidence, resilience, and a genuine appreciation for the subject.

Jemima Smith