Mathematics : National Curriculum (2023)

ESSENTIAL PRINCIPLES

Date : 15/03/2023

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Subject : Maths

This article considers the integration MATHEMATICS gets in the UK NATIONAL CURRICULUM. We start with a generic definition of the term mathematics followed by the curriculum framework the content it is introduces to you.

ETYMOLOGY : the word MATHEMATICS comes from the Ancient Greek `mathma` - roughly translates to `that which is learnt` and `what one gets to know` ! The traditional Latin `mathematica` meant `the mathematical art` later to mean `astronomy` or `astrology`. In English mathematics takes the form of a singular verb, it is often shortened to maths or math in North America.

Wikipedia describes MATHEMATICS as an area of KNOWLEDGE, we can further define mathematics functionally to include the topics of NUMBER, FORMULA and related structures, shapes and spaces in which they are contained, and quantities and their changes. MODERN MATHEMATICS translates these into the disciplines of NUMBER THEORY, ALGEBRA, GEOMETRY and ANALYSIS.

MATHEMATICS : The programme of study in the UK NATIONAL CURRICULUM.

Mathematics is the core subject along with English and science. The compulsory national curriculum is broken into 4 stages called KEY STAGES (KS) from age 5 to 16 years.

These are KS1, age 5 - 7 within year groups 1 - 2. KS2, age 7 - 11 within year groups 3 - 6. KS3, age 11 - 14 years, KS4, age 14 - 16 within year groups 10 - 11.

KS1 and KS2 normally take place in compulsory primary school KS3 and KS4 normally take place in compulsory secondary school.

NATIONAL TESTS in maths take place at KS1 year 2 (age 6 to 7 years) and again at KS2 year 6 (age 10 to 11 years) with teacher assessment (this takes place in MAY with results in JULY) in year 4 KS2 multiplication table checks take place. Later KS4 (age 14 - 16 years) most children take GCSE (General Certificate of Secondary Education) or other recognised qualifications.

The non compulsory curriculum includes before compulsory years denoted `EARLY YEARS` 3 - 5 years with 4 - 5 years called RECEPTION where teachers assessment takes place, and post 16 years (sometimes earlier) A levels (ADVANCED) and University entrance.

His Majesty`s Government define the PURPOSE of STUDY as  ` Mathematics is a creative and highly interconnected discipline that has developed over centuries, providing solutions to some of history`s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary financial literacy and most forms of employment.`

The NATIONAL CURRICULUM for mathematics AIMS to ensure that all pupils are :

Fluent in fundamental`s of mathematics, develop conceptual understanding and the ability to recall and apply knowledge.

Reason mathematically including enquiry , relationships and generalisations, develop argument, justification and proof.

Solve problems by applying mathematics.

EMPHASIS is placed upon the development of FUNCTIONAL SKILLS at all levels, this includes the development of confidence, fluency and a positive attitude towards mathematics. Also to develop behaviours such as persistence and logical thinking in the application of mathematical TOOLS in preparation for the JOB MARKET.

STATE REQUIREMENT FOR THE SCHOOL CURRICULUM : schools have some flexibility as to the introduction of content. All schools are required to set out their curriculum for mathematics on a year - by - year basis and make the information online.

By the end of each stage pupils are expected to reach certain attainment targets assessed by external examination (Standard Attainment Tests - SATs) these are compulsory at primary and since 2008 no longer required at secondary school.

KEY STAGE 3 to 4 for pupils between 11 and 16 years, normally denoted as compulsory secondary school.

SUBJECT CONTENT : 1. NUMBER. 2. Algebra, Ratio, proportion and rates of change. 3. Geometry and measures. 4. Probability. 5. Statistics.

MATHEMATICAL activities involve the discovery of abstract objects and the use of PURE REASON to prove them. It is an essential TOOL in NATURAL SCIENCE, ENGINEERING, MEDICINE, FINANCE, COMPUTER SCIENCE and SOCIAL SCIENCE. From this the distinction between PURE AND APPLIED MATHEMATICS in the educational systems has evolved.

ADVICE on career guidance from myself also available, I have worked in organisations that draw heavily from these subject areas, especially healthcare.

This resource was uploaded by: Jeffrey