Improving Young People's Engagement with Science, Technology, Engineering and Mathematics (STEM)
This paper, published to coincide with Science and Engineering Week 2013, presents evidence from research carried out by the National Foundation for Educational Research (NFER) to explore how to encourage further engagement in, and take-up of, STEM subjects. It discusses why STEM education is important and looks at how policymakers,…
Tunnelworks: Introductory Video
Tunnelworks is a series of teaching and learning resources linking mathematics and science to the Thames Tideway Tunnel project, a major new sewer that will help protect the River Thames from increasing pollution. Background to the project is given in this introductory video which explains when and how the sewer system, which still…
Mathematics: Made to Measure
This Ofsted report is based predominantly on evidence from inspections of mathematics between January 2008 and July 2011 in maintained schools in England. Inspectors visited 160 primary and 160 secondary schools and observed more than 470 primary and 1,200 secondary mathematics lessons. The report draws attention to serious inequalities…
A World-class Mathematics Education for All our Young People
This report was the result of a request to Carol Vorderman from David Cameron and Michael Gove for advice on mathematics education at the time the Conservative Party was in opposition. A small voluntary task force was formed and worked with organisations and individuals (including students and parents) in the course of the completion…
Supporting Scotland's STEM Education and Culture: Second Report
This report, published by the Science and Engineering Education Advisory Group in January 2012, addresses many of the challenges and opportunities arising in implementation of the Scottish Curriculum for Excellence (CfE) as it affects the delivery of STEM education and engagement. It examines the ways in which STEM education may…
Second Report of the Independent Review of Teachers' Standards
This report sets out the recommendations of an independent Review of Teachers’ Standards, chaired by Sally Coates. The review was launched by the Secretary of State in March 2011 with a remit to review the existing framework of professional standards for teachers. The Review Group comprises excellent teachers, head teachers…
Ready to Grow: Business Priorities for Education and Skills
This is the third education and skills survey published by the Confederation of British Industry (CBI). The survey provides an authoritative barometer of business opinion on key education and skills issues. It was conducted in February 2010, with responses received from 694 employers, collectively employing over 2.4 million people,…
Educating the Next Generation of Scientists
This report was published by the National Audit Office in 2010 and evaluates progress by the Department for Education in increasing take-up and achievement in maths and science up to age 18. It also reviews the extent to which specific programmes to raise the quality of school science facilities, recruit and retain science and maths…
STEM Careers Review 2010
This review of STEM careers, led by John Holman, was funded by the Gatsby Charitable Foundation in February 2010. The review covered provision of STEM careers education, information, advice and guidance in England. The report focused on secondary and further education, but recommended the need to commence careers related work from…
Key Understanding in Mathematics Learning: Paper 1 Overview
This review, published by the Nuffield Foundation, presents a synthesis of research on mathematics learning by children from the age of five to the age of sixteen years and identifies the issues that are fundamental to understanding children’s mathematics learning. The report concentrates on three main questions regarding key…
Global Grant-Making: a Review of UK Foundations' Funding for International Development
This report published by the Nuffield Foundation in January 2012 provides an up-to-date picture of the scale of UK foundation resources devoted to international development. It also identifies how these resources are distributed across region and need, and how foundations approach international funding activities. Commissioned…
Evaluation of the Wellcome Trust Camden STEM Initiative
This report, published in March 2012 by the National Foundation for Educational Research, presents the findings of an evaluation of the Wellcome Trust’s Camden Science, Technology, Engineering and Mathematics (STEM) Initiative which provided funding to eight Camden schools to develop interdisciplinary projects. Projects…
Acquisition of Science Subject Knowledge and Pedagogy in Initial Teacher Training
Published by the Wellcome Trust in October 201, this report looks at how one-year postgraduate Initial Teacher Training (ITT) courses in England and Wales support trainees’ acquisition of subject knowledge and topic specific pedagogy across the sciences. The study, which was the first of its kind to look into the acquisition…
Tunnelworks: Key Stage Three Mathematics
Tunnelworks is a series of teaching and learning resources linking mathematics and science to the Thames Tideway Tunnel project, a major new sewer that will help protect the River Thames from increasing pollution. Background to the project is given in the introductory video. Lesson one explores right-angled triangles and Pythagoras’…
Subject Choice In STEM: Factors Influencing Young People (Aged 14-19) in Education
The Evidence for Policy and Practice Information and Coordinating Centre (EPPICentre) was commissioned by the Wellcome Trust to undertake this systematic review of research about subject choice. The main aim of the review was to examine the factors that influence the STEM subject choices of young people (14-19 years) in education…
Translations
Translate parallel to the y axis – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=f(x)±a. Starting with the graph of y = x2, different values of a are added or subtracted to the graph. The explanation continues to show that the graph is translated parallel to the y axis…
Stretches
Stretch parallel to the y axis – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=af(x). Starting with the graph of y = x2, different values of a are used to show that the graph is stretched from the x axis parallel to the y axis. The next example shows that the translation works with…
Highest Common Factors and Lowest Common Multiples
Highest common factor and lowest common multiple – The first example finds the highest common factor of 6 and 15 by listing all the factors of each number, highlighting all the common factors and indicating the highest common factor. A similar technique is used to find the lowest common multiple of 6 and 15. Highest common…
Factors, Multiples and Primes
Factors – Beginning with the definition of what a factor is this video proceeds to find the factors of 12 with the aid of a factor bug. The factor bug is a visually stimulating method of finding factors and suitable for use with younger students. After finding the factors of 18, the factors of 17 are found. The fact that 17…
Maths and Art
Curves of pursuit – This video demonstrates how to construct curves of pursuit. Beginning by drawing a square, students are taken through the required steps. The video ends by suggesting different shapes as starting points. Sequence designs – Beginning with the sequence of square numbers, a new sequence is generated…
Introduction to Graph Transformations
Introduction to graph transformations – The video begins by suggesting that all graphs in a family are related in some way. There follows a useful explanation of function notation linking the notation to the inputs and outputs of a function machine. The four graph transformations; translate parallel to the y axis, translate…
Fractions: Mixed Numbers
Converting between mixed numbers and improper fractions – The explanation begins by showing the difference between a proper fraction, an improper fraction and a mixed number. Pictorial representations of the fractions are used to aid understanding of how a mixed number and an improper fraction represent the same value. The…
Fractions: Adding and Subtracting
Adding and subtracting fractions with the same denominator – This video begins by showing the common mistake of adding the numerator and adding the denominator and explaining why this cannot be correct. The correct method is used with a pictorial representation to aid understanding. The video continues with a series of simple…
Fractions: The Basics
What are fractions? The basics – This video covers the basics of fractions beginning with the definition of the numerator and the denominator. Simple examples are given to illustrate that fractions are a way of describing proportion. There follows an explanation of how a fraction also represents a division calculation. Equivalent…
Your Days Are Numbered
This video, written and presented by Matt Parker and Timandra Harkness, considers the statistics of death. The only certainty is that everyone will die, but it is not known how or when this will happen. Based upon statistics, the odds of dying in particular ways are calculated and interpreted. The Normal Distribution curve is…
Multiplying Decimals
This resource, from the Centre for Innovation in Mathematics Teaching, illustrates the common mistakes students make when multiplying two decimal values. It suggests that the language used could be adjusted so that the term times is interchanged with of, thus one-tenth of one-tenth is equal to one one-hundredth. Practice of multiplying…
Division
Short division – Six examples of dividing numbers using the short, or what is sometimes called the bus stop method. The examples progress in difficulty with the first two examples not requiring any remainders, the next two examples having remainders within the calculation and the last two examples having remainders in the answer.…
Multiplication
Short multiplication – Four examples of multiplying numbers using the column method. The examples progress in difficulty multiplying two digit numbers by a single digit number, multiplying a three digit numbers by a single digit number and multiplying a decimal by a number with a single digit. Gelosia method of multiplication…
Column Subtraction
Column subtraction of whole numbers – Six examples of subtracting whole numbers using the column method. The examples progress in difficulty subtracting numbers with two, three and four digits. The later examples include the need to ‘borrow one’ from one column to the next. Column subtraction of decimal numbers…
Column Addition
Column addition of whole numbers – Five examples of adding whole numbers using the column method. The examples progress in difficulty adding numbers with two and three digits. The third and fourth examples include the need to ‘carry one’ from one column to the next. Column addition of decimal numbers –…
Calculations with Hundreds and Thousands
This resource, from the Centre for Innovation in Mathematics Teaching, builds on students' previous knowledge of multiplying by powers of 10 to demonstrate how calculations such as 2000 x 300 can be performed accurately. Follow-up exercises provide practice in the skills learned.
Calculations with Negative Numbers
Straightforward logic is used in this resource, from the Centre for Innovation in Mathematics Teaching, to establish the calculation, necessary to move correctly along a number line, when the starting point is at a negative value. Phrases such as owing and debt are used to help students deal with directed number in context. Further…
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