NRICH Research, Education Articles and Publications


Research, Education Articles and Publications

Our latest research involves working with exceptionally able students. You can read more about it here.

We often publish articles in other professional and research journals such as Primary Mathematics, Equals and Teaching Thinking and Creativity. Links to a number of these can be found below.

In addition, this page contains research articles which focus on NRICH, not necessarily written by members of the team.

We have also written a number of Publications

Research 
 

Title: "Mathematical problem solving is boring": A study into the motivational impact of NRICH problem solving materials within the primary classroom
Author: Jayne Callard
This is the written report of a school-based enquiry which formed part of a Masters of Education at the University of Exeter, 2009.


Title: The Nature of Mathematics Enrichment
Author: Jennifer Piggott
Published: Educate, IOE London. Vol 7, No 2. (2007)

Title:ENRICHing Mathematics: Reflections On Building A Learning Community
Authors: Cathy Smith and Jennifer Piggott
Published: Philosophy of Mathematics Education Journal No. 22 (November 2007), http://www.people.exeter.ac.uk/PErnest/pome22/index.htm

Title: Spaces to discuss mathematics: communities of practice on an online discussion board
Authors: Jenni Back and Nick Pratt
Published: Paper presented at The 2nd Socio-cultural Theory in Educational Research and Practice Conference: Theory, Identity and Learning at Manchester University on 10th/11th September 07.

Title: Generating Curiosity in Mathematics Learning
Author: Charlie Gilderdale
Published: Council of Boards of School Education in India conference: Addressing Core Issues in Science and Mathematics (April 2007)

Title: Assessing Promising Mathematicians Using On-screen Technologies
Authors: Hughes S, Gilderdale C, Piggott J S
Published: Conference Proceedings CAL '03 '21st Century Learning' (2003)

Title: eNRICH mathematics: Project evaluation
Author: C Smith
October 2007
Title: Aprendizaje Colaborativo en el Contexto de Matematicas e Internet: La Esencia Interactiva
Author: Charlie Gilderdale
Published: Usos Matematicos de Internet , Spanish Ministry of Education (2005)

Ttle: Examining the role and nature of mediation (through concept maps) that 'steps' pupils into problem solving
Authors: Project Team: Jennifer Piggott, Jennifer Green, Liz Pumfrey
Interim report (2006)
Link (Word Document): Concept maps
Link (Web Page): Concept maps

Mathematics Teaching 
This is an A4 journal of the Association of Teachers and Learners of Mathematics (ATM).
ATM speaks for creativity, thought, and the enjoyment of the struggle in calculation, reasoning and discovery in mathematics. 

Title: Cultivating Creativity
Author: Jennifer Piggott
Published: Mathematics Teaching Vol 202, 3-7,The Association of Teachers of Mathematics

Title: Interacting with the Geometry of the Circle
Authors: Jennifer Piggott and Charlie Gilderdale
Published: Mathematics Teaching 195 (2006)
Link (Web Page): Interacting with the Geometry of the Circle

Mathematics Coordinator's File 

Title: What's Inside/outside/under the Box?
Authors: Jenni Back and Liz Pumfrey
Published: Maths Coordinator's File issue 19, published by pfp publishing (2006).

Title: Enriching Data Handling
Authors:Jenni Back and Liz Pumfrey
Published:Maths Coordinator's File issue 19, published by pfp publishing (2006).
Link (Web Page): Enriching Data Handling

Title: Outside the Box - exploring the links between maths, art and history
Authors: Jenni Back and Liz Pumfrey
Published: Maths Coordinator's File issue 19, published by pfp publishing (2005).
Link (Web Page): Outside the box

Ttle: Examining the role and nature of mediation (through concept maps) that 'steps' pupils into problem solving
Authors: Project Team: Jennifer Piggott, Jennifer Green, Liz Pumfrey
Interim report (2006)

Teaching Thinking and Creativity
 
Title: Meet the Nim Family
Author: Jennifer Piggott
Published: Teaching Thinking and Creativity 19 (Spring 2006)
Link (Web Page): Meet the Nim Family

Primary Mathematics
Primary Mathematics is an A4 journal of the Mathematics Association written essentially by Primary Teachers for Primary Teachers and the content, which is often though not always themed, endeavours to blend iideas for classroom activities with articles about research, events and current news items relative to Primary Maths Education. There is also a reviews section for published titles and products. NRICH regularly publish articles in the magazine. 

2012
Title: Using Dice Games in the classroom for Formative Assessment
Author: Jennie Pennant
Published: Primary Mathematics (September 2012)

Title: Generic proof and the power of a model and image to show mathematical structure and thinking
Author: Jennie Pennant
Published: Primary Mathematics (March 2012)

Title: The Olympics and Data Handling opportunities
Author: Jennie Pennant
Published: Primary Mathematics (December 2012)

2010
Title: Going for Games 
Author: Liz Woodham 
Published: Primary Mathematics 
Link: (Web Page): Going for Games

2008
Title: On the emergence of mathematical thought
Author: Steve Hewson
Published:Primary Mathematics (Summer 2008)

2007
Title: Numbers Numbers Everywhere
Author: Bernard Bagnall
Published: Primary Mathematics Vol. 11, No. 1 (Spring 2007)
Link (Web Page): Numbers Numbers Everywhere!

2006
Title: Opening Out
Author:Bernard Bagnall
Published: Primary Mathematics Vol. 10, No. 3 (Autumn 2006)

Title: Pupils' Recording or Pupils Recording?
Author:Bernard Bagnall and Liz Pumfrey
Published: Primary Mathematics Vol. 10, No. 1 (Spring 2006)
Link (Web Page): Pupils' Recording or Pupils Recording?

Title: Maths Trails
Authors:Jennifer Piggott and Liz Pumfrey
Published: Primary Mathematics Vol. 10, No.2 (Summer 2006)
2005
Title: Difficulties with Division
Author: Jenni Back
Published: Primary Mathematics Vol. 9, No. 3 (Autumn 2005)
Link (Web Page): Difficulties with Division

Title: Primary Proof?
Author: Jenni Back
Published: Primary Mathematics Vol. 9, No. 2 (Summer 2005)
Link (Web Page): Primary Proof?

2
003
Title: Dramatic Mathematics
Authors:Jenni Back and Tricia Lee
Published: Primary Mathematics , Vol. 7, No. 3 (Autumn 2003)
Link (Web Page): Dramatic Mathematics

2002
Title: Dice, Routes and Pathways
Authors: Jenni Back and Milan Trch
Published: Primary Mathematics (Summer 2002)
Link (Web Page): Dice, Routes and Pathways

Equals
Equals Online is a publication produced by The Mathematics Association  dedicated to opening up mathematics to low attainers. In practical terms it provides support through the exchange of ideas to help teachers reveal the excitement and applicability of mathematics to those who have in the past found the subject inaccessible and/or irrelevant. 

Title: Peg and Pin Boards
Author: Bernard Bagnall
Published: Equals vol 18:1

Title: Many ideas with a few cubes
Author: Liz Woodham
Published: Equals vol 17:3

Title: More for Less: Place your counters
Author: Liz Woodham
Published: Equals 17:1

Title: More for Less: Squares as a starting point
Author: Jennifer Piggott and Liz Woodham
Published: Equals 16:3

Title: More for Less: The one hundred square
Author: Jennifer Piggott and Liz Woodham 
Published: Equals 15:3

Title: More for Less: A set of digit cards
Author: Jennifer Piggott and Liz Woodham
Published: Equals 15:2

Further research
 
Title: An investigation into the nature of mathematical enrichment: a case study of implementation
Author: Jennifer Piggott
Published: Thesis - Institute of Education, London (2005)

Title: Conceptions of Enrichment
Author: Wai Yi Feng
Presented at CamERA (Cambridge Educational Research Association) Conference, Cambridge, April 2005
 
Title: Mathematics Enrichment: what is it and who is it for?
Author: J.S Piggott
Published: BERA annual conference in Manchester, September 2004

Title: Developing a framework for mathematical thinking .
Author: J.S Piggott
Published: Conference Proceedings, 2004, "Critical Thinking" University of the West Indies


Title: A problem is only a problem when you can't do it
Authors: Jennifer Piggott and Jenni Back
Published: Primary Mathematics, Autumn 04, Mathematical Association, Leicester
EuroMaths homepage: http://nrich.maths.org/euromaths /

Title: Exploring the challenge of online mediation
Authors: Jenni Back, Charlie Gilderdale and Jennifer Piggott
Published:


Title: Enrichment at NRICH
Authors: Jennifer Piggott and Jenni Back
Published: Primary Mathematics, Spring 04, Mathematical Association, Leicester.

Title: Enriching Patterns
Authors: Jennifer Piggott and Jenni Back
Published: Primary Mathematics, Summer 04, Mathematical Association, Leicester

Title: What does it mean to "Use the Interactive Whiteboard" in the daily numeracy lesson?
Authors: Penny Knight, Jennie Pennant and Jennifer Piggott
Published: Micromath, Vol 20, No 2. ATM

Title: Using non-standard problems to challenge pre-conceptions: can they extend knowledge?
Authors: Jenni Back, Jennifer Piggott and Liz Pumfrey.
Published:Conference Proceedings, 2003, International Symposium Elementary Maths Teaching, Charles University,Prague.


Title: Using non-standard problems to challenge pre-conceptions and extend knowledge
Authors: Back J, Pumfrey L, Piggott J
Published: Conference Proceedings SEMT (2003).

 


Publications 

Books


Title: A Mathematical Bridge: an intuitive journey into higher mathematics (2nd Ed.)
Author: Steve Hewson
Publisher: World Scientific, Singapore, 2009

Title: Maths Trails
Authors: Jennifer Piggott, Liz Pumfrey and Graeme Brown
Published: Cambridge University Press, 2005, 2006, 2007, 2008
Maths Trails - Generalising
Maths Trails - Working Systematically
Maths Trails - Visualising
Maths Trails - Excel at Problem Solving

Title: Highly Able Children in Ordinary Classrooms in Transforming primary mathematics teaching and learning 
Author: Lynne McClure
Published: OUP

Title: Meeting the Needs of Your Most Able Pupils in Mathematics
Authors: Lynne McClure, Jennifer Piggott
Published: Routledge, Oxford 2007

Resources 
Maths Buzz 
Collaborative reasoning challenges developed with BEAM for primary-aged children.

The BrainBuster Maths boxes 
Innovative whole-class  problem-solving kits developed with BEAM for primary-aged children. 
One box for Y1/2, one box for Y3/4 and one box for Y5/6.

CDs 
NRICH exploring squares - lesson starter posters CD (KS2/3)

NRICH exploring circles - lesson started posters CD (KS3/4)