Guides to Assessment in Education: Mathematics
Teachers make assessments all the time for a whole variety of reasons. Assessment is essential to teaching. It has to be acknowledged that although getting to know students thoroughly is part of a teacher's expected load, assessment does represent a noticeable burden. Above all, the report tries to emphasize assessment as a…
Handling Data: African Animal Maths (Age 7-11)
This resource from ARKive, aimed at Key Stage Two, focuses on handling data, using some of the species that inhabit the African savannah as a context. It involves completing a table on the height and weight of animals and converting heights from metres into centimetres. In a second activity children are asked to interpret the…
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,…
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,…
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…
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…
Forming a Rhythm Band
This resource uses Cuisenaire® Rods to investigate how to make different sounds by putting the differently coloured rods into a can and shaking them. Children are then asked to create notes for the different coloured rods and use these to write and perform their own songs. Cuisenaire® Rods are a useful mathematical resource…
Changing Rod Stories to Number Sentences
This resource uses Cuisenaire® Rods to create addition stories. Select one rod and the two rods that when positioned side by side are the same length as the original. Then use the white rods which represent 1 to convert the rod story into an addition sentence. Included are teachers' notes and a worksheet to practise converting…
Interpreting One-colour Trains as Fractional Parts
In this resource children are asked to build all of the possible one-colour trains to match the purple rod. Fitting them underneath they then resemble a fraction wall where children can describe the fractional parts of the whole purple rod. They then investigate the other coloured rods and their fractional parts, for example halves…
Recording Subtraction Stories
In this resource, children are asked to create subtractions using different coloured rods and interpret and solve subtraction sentences. Following this they form all of the possible addition and subtraction sentences for three given rods. This activity is a way of introducing or reinforcing subtraction using a concrete, visual representation.…
Colouring All the Trains
In this resource, children are asked to investigate the number of possible trains they can make for a given colour of rod. They then record this information and see if they can find any patterns. It helps develop the skills of logical thinking, looking for patterns and the systematic recording of results. It could be used as a whole…
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…
The Whole Curriculum in Primary Schools
Published in 1993 by the Association for Science Education, this report was a response to concerns about primary curriculum overload and the place of science as a core subject within the curriculum. A task group including practising teachers, a primary head teacher, a science adviser, lecturers and researchers in primary education…
Maths Chest 6: Workbook and Answer Book
This resource contains the student book and answer book for Maths Chest 6, a developmental scheme which aims to increase understanding and enjoyment of mathematics through games and investigations. This textbook contains questions and practical tasks linked to the topic areas in the scheme. The topics are: • Place value •…
Maths Chest 5: Workbook and Answer Book
This resource contains the student book and answer book for Maths Chest 5, a developmental scheme which aims to increase understanding and enjoyment of mathematics through games and investigations. This textbook contains questions and practical tasks linked to the topic areas in the scheme. The topics are: • Place value •…
Maths Chest 4: Workbook and Answer Book
This resource contains the student book and answer book for Maths Chest 4, a developmental scheme which aims to increase understanding and enjoyment of mathematics through games and investigations. This textbook contains questions and practical tasks linked to the topic areas in the scheme. The topics are: • Place value…
Sorting
This resource from Maths Chest 3 contains detailed teacher notes for running activities on logic. The topic is organised into two sets of activities both of which include teacher-led activities, group activities and individual activities. At the end of each topic there are opportunities for reinforcement and extension and suggestions…
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