Advanced Mathematical Knowledge at Key Stages 3 and 4	 - DIT0003

Assessment 2: Exam

Apprentices will undertake a written examination on the range of Key Stage 3 and 4 mathematics topics, using it to complete a subject-knowledge audit.

Exam

Assessment 1: Portfolio (including examples)

Apprentices will submit an in progress version of their e-portfolio for review by a module tutor.

Portfolio (including examples)

Assessment 3: Oral presentation/assessment

The subject-knowledge audit will form the basis of a professional discussion with a module tutor to create plans for the further development of subject-knowledge.

Professional Practice Discussion

Assessment 1: Portfolio

Apprentices will compile an annotated portfolio that provides evidence of developing subject content and pedagogical knowledge, including a range of examples at Key Stages 3 and 4, accompanied by a written reflection on subject-knowledge development.

Portfolio

<p>This module is designed to equip you with the advanced mathematical knowledge and skills required for top-level performance at GCSE level. Focusing on rigorous content mastery, the module covers complex topics across algebra, geometry, trigonometry, probability, statistics, and vectors, building fluency in advanced techniques and problem-solving strategies. Through intensive workshops and exercises, plus observations and practice, you will engage with challenging problems that require multi-step reasoning, logical proofs and a deep understanding of mathematical connections. Topics such as function transformations, trigonometric identities, conditional probability and vector applications are explored in depth, enabling trainees to confidently approach the most demanding GCSE questions. The module also offers an introduction to calculus, matrices, and complex numbers, bridging KS4 and KS5 concepts for high-achieving students who desire to go on to study A-Level Mathematics and Further Mathematics. Regular assessments, a portfolio of Grade 9-level problem solutions and a final comprehensive evaluation ensure that you have achieved fluency in advanced GCSE topics and can solve problems efficiently and accurately. By the end of the module, you will have the expertise and resilience needed to teach at a Grade 9 standard and be equipped to tackle the complex and non-routine challenges that distinguish top-level GCSE performance.</p>

School of Education and Professional Development

<p><a href="https://library.hud.ac.uk/readinglists/DIT0003">https://library.hud.ac.uk/readinglists/DIT0003</a></p>

Initial Teacher Education Schools

DIT0003 - Advanced Mathematical Knowledge at Key Stages 3 and 4	

Advanced Mathematical Knowledge at Key Stages 3 and 4	

Be able to plan the development of own subject specialist knowledge in relation to curriculum requirements, advanced practices in the field and subject-specific research. 

Be able to access a range of methods to develop advanced mathematical content knowledge. 

Be able to use highly-developed mathematical literacy skills, to engage in critical discussion about advanced mathematical ideas and procedures across different media, including the concise and accurate utilisation of sophisticated mathematical vocabulary and symbols.

Interrogate approaches to the development of advanced curricular knowledge in mathematics. 

Be able to justify the link between advanced mathematical content knowledge and the development of subject specialist learning in the classroom. 

Critically examine existing assumptions about the importance of mathematical knowledge in teaching.

Be able to critically analyse the links between advanced mathematical content and mathematical practice, and demonstrate a strong awareness of mathematics progression beyond Key Stage 4.

Adopt an inquiry based approach to the development of advanced mathematical knowledge and practice. 