Mathematics Overview

Our Vision

We want our young mathematicians to leave their secondary mathematical education at Aylesford School, as confident mathematical problem solvers, equipped to face the challengers of everyday life, exploring both further and higher education. Central to our mathematics curriculum is the development of mathematical Fluency, Reasoning and Problem Solving.

We aim for students to:

  • Develop fluency in mathematical concepts, enabling them to calculate accurately and efficiently.
  • Reason mathematically, by constructing logical arguments and justifications.
  • Problem-solve, applying mathematical knowledge to solve a variety of real-life problems.

  • This holistic approach will empower our students to become confident, resourceful, and analytical mathematicians.

    Fluency in Mathematics

    Fluency in mathematics empowers students to communicate their reasoning and solutions effectively.
    Our fundamental intent to develop fluency in mathematics consist of the ability to perform mathematical calculations accurately and efficiently, as well as the capacity to apply mathematical strategies confidently in a variety of contexts.

    By practising and refining their mathematical skills, students will become more fluent in essential areas such as arithmetic, algebra, geometry, and statistics, enabling students to approach problems with ease and precision, leading to a deeper understanding of concepts and the development of problem-solving skills.
    In order to excel in mathematics, it is crucial for students to develop fluency.

    Students who are fluent are provided with opportunities to apply these skills in a variety of ways. Teachers model calculations, identify misconceptions and reinforce technical terminology by dedicating time to regular practice and engaging with diverse mathematical tasks, students cultivate a strong foundation for future learning and success.

    Reasoning in Mathematics

    Mathematical reasoning is the bridge between fluency and problem solving; it enables students to use their fluency to accurately solve problems
    In our mathematics curriculum, we aim to develop students’ ability to reason mathematically think critically, and make logical connections within the subject by providing them with a solid foundation in mathematical principles and problem-solving skills.

    Through a blend of real-world applications, abstract reasoning tasks, rigorous and challenging activities, we strive to cultivate a deep understanding of mathematical concepts and encourage students to articulate their reasoning coherently using precise mathematical language.

    We aim to promote an environment where students feel confident to explore and apply mathematical reasoning, thus equipping them with the skills necessary to approach both familiar and unfamiliar problems with clarity and confidence.

    By embedding reasoning tasks across the curriculum, we aspire to foster a mindset where students naturally employ logical thinking and justification enabling our students to become proficient and versatile problem-solvers, well-equipped to engage with the demands of further mathematical study, the application of mathematical concepts in real-world scenarios and are able to approach challenges with independence, precision, and creativity.

    Problem solving in Mathematics

    Fluency and mathematical reasoning support students in the goal of solving problems.
    Our ability to successfully problem solve, requires us to have a deep understanding of content and fluency of facts and mathematical procedures. Critical thinking processes such as reasoning and problem solving are intimately linked with factual knowledge
    We recognise that problem solving is not necessarily just about answering ‘worded problems’. Problem solving is about finding a way to apply knowledge and skills students develop to unfamiliar types of problems.

    Our intent is to instil in our students a sense of curiosity and creativity in approaching mathematical problem-solving tasks, nurturing their aptitude for critical thinking and analytical reasoning.

    We are committed to providing a rich and diverse range of problem-solving experiences, encompassing various concepts in real-life contexts, to ensure that our students are well-prepared for the increasingly complex challenges of the future.
    By promoting a problem-solving mindset, students improve their ability to reason logically, apply mathematical techniques, and persevere when faced with challenging problems, developing resilience and confidence over time.
    Through a carefully structured curriculum, students engage in a range of problem-solving tasks that require them to analyse, strategise, and communicate their mathematical thinking effectively. They will also develop their ability to work collaboratively, recognising the value of sharing ideas and approaches to problem-solving.

    Ultimately, problem solving in mathematics empowers students to become adept problem solvers who can confidently tackle mathematical challenges and apply their skills across different subject areas and in the wider world.