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…
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…
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…
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…
Adding with Negative Numbers
A number line is used in this resource, from the Centre for Innovation in Mathematics Teaching, to illustrate how to solve a calculation involving negative numbers. To help correct misconceptions regarding these, the term taking away is used to represent minus and giving back for plus. Thus -8 +6 is read as taking away 8 and giving…
Dividing Whole Numbers by Fractions
This resource, from the Centre for Innovation in Mathematics Teaching, uses diagrams to illustrate division by a fraction and, to clarify the common misconception identified with this task, prompts students to rethink the statement, divide three by one quarter, as the number of quarters that fit into three. Practice of dividing…
4/5- Publication year: 1990 - 1999
- Teacher guidance
Decimals and Their Equivalent Fractions
This resource, from the Centre for Innovation in Mathematics Teaching, explores the misconception that decimals and fractions are different types of numbers. It illustrates how to write a decimal value as a fraction, as well as how, by using division, most fractions can be expressed with denominators of 10, 100 or 1000 to find their…
Multiplications Can Increase or Decrease
This resource, provided by the Centre for Innovation in Mathematics Teaching, explores why multiplication does not always increase the size of a number. It explains how, by putting the term multiplying into a context with which students can identify and making a situation meaningful, this common misconception can be addressed. Practice…
Rounding Numbers
Students' misconceptions when rounding to the nearest 1000 is the focus of this resource from the Centre for Innovation in Mathematics Teaching. It illustrates how, when asked to round a value to the nearest 1000, some students mistakenly round to the nearest 10, then the nearest 100 and finally to the nearest 1000, giving an…
Everyday Mathematics
Planning a Kitchen: SMILE card 1310 is a booklet which requires students to design a kitchen. The first task is to calculate the cost of buying the constituent parts of a kitchen. Students have to measure furniture in their own kitchen and draw a scale diagram. Students are given scale plan drawings of furniture they can use in the…
Imaginings
Imaginings: SMILE card 2112 is a collection of multi-levelled activities to develop mental imagery skills. The activities are grouped together into seven topics; starter, 2D, folds, creases and cuts, cubes, 3D, rotations and bits and pieces. The activities provide an excellent opportunity to use mathematical language. The tasks vary…
The Highway Code
The Highway Code: SMILE card 1314 is a booklet of activities using the signs found in the Highway Code as a context. The booklet begins with a page of road signs. The first task asks students to categorise the signs by placing then into a two way table based upon their shape and their colour. The second activity requires students…
Hexaflexagons
Hexaflexagons: SMILE card 0828 is a booklet giving detailed instructions on how to make a hexaflexagon. The resource includes photographs showing how to flex the hexaflexagon. There are instructions on how to colour the hexaflexagon and how to make a record of all the flexes. The resource concludes by showing a variety of alternative…
Spirals
Archimedes’ Spirals: SMILE card 1998 is a booklet of activities beginning by explaining how to draw Archimedes’ spirals using the ‘cotton reel method’. The second activity uses a ruler, protractor, string and tracing paper to work out which of the spirals given is an Archimedes spiral. Polar graph paper is…
Reckonings
SMILE Card 2324 is a booklet containing six sections; counting activities, place value, addition and subtraction, multiplication and division, number puzzles and types of number. Counting activities gives details of a task explaining how to generate sequences and the game fizz-buzz. Place value has four activities. Number lines:…
Continuing Professional Development for Teacher of Mathematics
Provided by the Advisory Committee on Mathematics Education (ACME), this resource was written in 2002. It includes recommendations on the steps to be taken, at that time, to raise the quality of mathematical provision in schools. Concerns regarding the poor uptake of students continuing to study mathematics at Post 16, the reduced…
Learning Mathematics with Microcomputers
This report was written post Cockcroft and at a time when a number of organisations were producing computer programs and packages for use in the mathematics classroom. The report is split into a number of sections. As a teaching aid gives detail of the variety of organisations: national projects, regional centres, LEAs, subject…
Generating Mathematical Activity in the Classroom
This report contains examples of fifteen mathematical inquiries carried out by a class of eleven year old students and is designed to demonstrate that it is possible to teach in a way which encourages students to begin to ask their own questions, to control the direction of their investigations, to make conjectures and think how…
Teaching and Learning - Algebra and Geometry
The Royal Society provide these resources which offer an insight into reviews, which took place in the mid 1990s and early 2000s, to investigate the teaching and learning of algebra and geometry. Both reviews took place at a time of considerable discussion over developments in mathematics, both at home and at international level. Teaching…
TIMSS 2011 International Results in Mathematics
Trends in International Mathematics and Science Study (TIMMS) has the goal of helping countries make informed decisions about how to improve teaching and learning in mathematics and science. This report summarizes the results of the TIMSS 2011 international mathematics assessment of fourth and eighth grade students in countries…
Solving the Maths Problem: International Perspectives on Mathematics Education
This resource, written by Emma Morris, outlines the core choices facing mathematics education and builds on the recommendations of the 2011 Vorderman Report, by examining which mathematics approaches and reforms have worked overseas. The paper does not recommend directly importing practice from either of the case study sites, high-achieving…
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