NRICH Research, Education Articles and Publications

2719 /www/nrich/html/content/id/2719/ 5 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"> <h2>Research, Education Articles and Publications</h2> Our latest research involves working with exceptionally able students. You can read more about it <a href="http://nrich.maths.org/7298&part=7298">here.</a> 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 <a href="#Publications">Publications</a>. 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. <ul> <li>Link (Word document): <a href="/content/id/2719/JayneCallardMathematicalProblemSolvingIsBoring.doc">"Mathematical problem solving is boring"</a></li> </ul> <div>Title: The Nature of Mathematics Enrichment</div> <div>Author: Jennifer Piggott</div> <div>Published: Educate, IOE London. Vol 7, No 2. (2007)</div> <div>Title:ENRICHing Mathematics: Reflections On Building A Learning Community</div> <div>Authors: Cathy Smith and Jennifer Piggott</div> <div>Published: Philosophy of Mathematics Education Journal No. 22 (November 2007), <a href="http://people.exeter.ac.uk/PErnest/pome22/index.htm">http://www.people.exeter.ac.uk/PErnest/pome22/index.htm</a></div> <div>Title: Spaces to discuss mathematics: communities of practice on an online discussion board</div> <div>Authors: Jenni Back and Nick Pratt</div> <div>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.</div> <div>Title: Generating Curiosity in Mathematics Learning</div> <div>Author: Charlie Gilderdale</div> <div>Published: Council of Boards of School Education in India conference: Addressing Core Issues in Science and Mathematics (April 2007)</div> <ul> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5795&part=index">Generating Curiosity in Mathematics Learning</a></li> </ul> 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) <div>Title: eNRICH mathematics: Project evaluation</div> <div>Author: C Smith</div> <div>October 2007</div> <ul> <li>Link (Word Document): <a href="/content/id/2719/Final%20Report%20-%20%20Shine%20Enriching%20Mathematics%20Evaluation.doc">Evaluation of enrichment programme in three areas of London</a></li> </ul> 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): <a href="http://Ttle:%20Examining%20the%20role%20and%20nature%20of%20mediation%20(through%20concept%20maps)%20that%20'steps'%20pupils%20into%20problem%20solving%20Authors:%20Project%20Team:%20Jennifer%20Piggott,%20Jennifer%20Green,%20Liz%20Pumfrey%20Interim%20report%20(2006)%20Link%20(Word%20Document):%20Concept%20maps%20Link%20(Web%20Page):%20Concept%20maps">Concept maps</a> Link (Web Page): <a href="http://nrich.maths.org/5736">Concept maps</a> Mathematics Teaching This is an A4 journal of the <a href="http://www.atm.org.uk/">Association of Teachers and Learners of Mathematics (ATM).</a> ATM speaks for creativity, thought, and the enjoyment of the struggle in calculation, reasoning and discovery in mathematics. <div>Title: Cultivating Creativity</div> <div>Author: Jennifer Piggott</div> <div>Published: Mathematics Teaching Vol 202, 3-7,The Association of Teachers of Mathematics</div> <ul> <li>Link (Word Document): <a href="/content/id/2719/Cultivating%20creativity%20-%20MT%20article%20on%20creativity.doc">Cultivating Creativity</a></li> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5784">Cultivating Creativit</a>y</li> </ul> Title: Interacting with the Geometry of the Circle Authors: Jennifer Piggott and Charlie Gilderdale Published: Mathematics Teaching 195 (2006) Link (Web Page): <a href="http://nrich.maths.org/5783">Interacting with the Geometry of the Circle</a> Mathematics Coordinator's File <div>Title: What's Inside/outside/under the Box?</div> <div>Authors: Jenni Back and Liz Pumfrey</div> <div>Published: Maths Coordinator's File issue 19, published by pfp publishing (2006).</div> <ul> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5792">What's Inside/outside/under the box?</a></li> </ul> 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): <a href="http://Title:%20Enriching%20Data%20Handling%20Authors:Jenni%20Back%20and%20Liz%20Pumfrey%20Published:Maths%20Coordinator's%20File%20issue%2019,%20published%20by%20pfp%20publishing%20(2006).%20Link%20(Web%20Page):%20Enriching%20Data%20Handling">Enriching Data Handling</a> 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): <a href="http://nrich.maths.org/5791">Outside the box</a> <div>Ttle: Examining the role and nature of mediation (through concept maps) that 'steps' pupils into problem solving</div> <div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px;">Authors: Project Team: Jennifer Piggott, Jennifer Green, Liz Pumfrey</div> <div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px;">Interim report (2006)</div> <ul style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 1ex; padding-right: 40px; padding-bottom: 1ex; padding-left: 2em;"> <li style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px;">Link (Word Document): <a href="http://nrich.maths.org/content/id/2719/CM%20Interim%20Report.doc" style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; color: rgb(0, 68, 170); text-decoration: none;">Concept maps</a></li> <li style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px;">Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5736" style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; color: rgb(0, 68, 170); text-decoration: none;">Concept maps</a></li> </ul> <div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px;"> Teaching Thinking and Creativity </div> <div>Title: Meet the Nim Family Author: Jennifer Piggott Published: Teaching Thinking and Creativity 19 (Spring 2006) Link (Web Page): <a href="http://nrich.maths.org/5794">Meet the Nim Family</a> Primary Mathematics Primary Mathematics is an A4 journal of the <a href="http://www.m-a.org.uk/jsp/index.jsp?lnk=640">Mathematics Association</a> 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): <a href="http://nrich.maths.org/6691">Going for Games</a> 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): <a href="http://nrich.maths.org/5793">Numbers Numbers Everywhere!</a> 2006 Title: Opening Out</div> <div>Author:Bernard Bagnall</div> <div>Published: Primary Mathematics Vol. 10, No. 3 (Autumn 2006)</div> <ul> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5657&part=index">Opening Out</a></li> </ul> Title: Pupils' Recording or Pupils Recording? Author:Bernard Bagnall and Liz Pumfrey Published: Primary Mathematics Vol. 10, No. 1 (Spring 2006) Link (Web Page): <a href="http://nrich.maths.org/5451">Pupils' Recording or Pupils Recording?</a> <div>Title: Maths Trails</div> <div>Authors:Jennifer Piggott and Liz Pumfrey</div> <div>Published: Primary Mathematics Vol. 10, No.2 (Summer 2006)</div> <ul> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5456&part=index">Maths Trails</a></li> </ul> 2005 Title: Difficulties with Division Author: Jenni Back Published: Primary Mathematics Vol. 9, No. 3 (Autumn 2005) Link (Web Page): <a href="http://nrich.maths.org/5450">Difficulties with Division</a> <div> Title: Primary Proof? Author: Jenni Back Published: Primary Mathematics Vol. 9, No. 2 (Summer 2005) Link (Web Page): <a href="http://nrich.maths.org/2838">Primary Proof? 2</a>003 Title: Dramatic Mathematics Authors:Jenni Back and Tricia Lee Published: Primary Mathematics , Vol. 7, No. 3 (Autumn 2003) Link (Web Page): <a href="http://nrich.maths.org/2433">Dramatic Mathematics</a></div> <div> 2002 Title: Dice, Routes and Pathways Authors: Jenni Back and Milan Trch Published: Primary Mathematics (Summer 2002) Link (Web Page): <a href="http://nrich.maths.org/2402">Dice, Routes and Pathways</a> Equals <a href="http://www.m-a.org.uk/jsp/index.jsp?lnk=650">Equals Online</a> is a publication produced by <a href="http://www.m-a.org.uk/jsp/index.jsp?lnk=000">The Mathematics Association</a> 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: <a href="http://www.m-a.org.uk/pdf/equals_18_1.pdf">Equals vol 18:1</a> Title: Many ideas with a few cubes Author: Liz Woodham Published: <a href="http://www.m-a.org.uk/pdf/equals_17_3.pdf">Equals vol 17:3</a> Title: More for Less: Place your counters Author: Liz Woodham Published: <a href="http://www.m-a.org.uk/pdf/equals_17_1.pdf">Equals 17:1</a> Title: More for Less: Squares as a starting point Author: Jennifer Piggott and Liz Woodham Published: <a href="http://www.m-a.org.uk/pdf/equals_16_3.pdf">Equals 16:3</a> Title: More for Less: The one hundred square Author: Jennifer Piggott and Liz Woodham Published: E<a href="http://www.m-a.org.uk/pdf/equals_15_3.pdf">quals 15:3</a> Title: More for Less: A set of digit cards Author: Jennifer Piggott and Liz Woodham Published: <a href="http://www.m-a.org.uk/pdf/equals_15_2.pdf">Equals 15:</a>2 Further research </div> <div>Title: An investigation into the nature of mathematical enrichment: a case study of implementation</div> <div>Author: Jennifer Piggott</div> <div>Published: Thesis - Institute of Education, London (2005)</div> <ul> <li>Link: <a href="http://maths.org/%7Ejsp38/The%20nature%20of%20mathematics%20enrichment.doc">The nature of mathematical enrichment</a></li> </ul> Title: Conceptions of Enrichment Author: Wai Yi Feng Presented at CamERA (Cambridge Educational Research Association) Conference, Cambridge, April 2005 <ul> <li>Link (Word Document): <a href="/content/id/2719/Concepts%20of%20Enrichment.doc">Conceptions of Enrichment</a></li> </ul> <div> </div> Title: Mathematics Enrichment: what is it and who is it for? Author: J.S Piggott Published: BERA annual conference in Manchester, September 2004 <ul> <li>Link (Word document): <a href="/content/id/2719/mathematics-enrichment-for-who.doc">mathematics-enrichment-for-who.doc</a></li> <li>Link (PDF): <a href="/content/id/2719/mathematics-enrichment-for-who.pdf">mathematics-enrichment-for-who.pdf</a></li> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5737">http://nrich.maths.org/public/viewer.php?obj_id=5737</a></li> </ul> Title: Developing a framework for mathematical thinking . Author: J.S Piggott Published: Conference Proceedings, 2004, "Critical Thinking" University of the West Indies <ul> <li>Link (Word document): <a href="/content/id/2719/a-framework-for-enrichment.doc">a-framework-for-enrichment.doc</a></li> <li>Link (PDF): <a href="/content/id/2719/a-framework-for-enrichment.pdf">a-framework-for-enrichment.pdf</a></li> <li>Link (Web Page):<a href="http://nrich.maths.org/public/viewer.php?obj_id=5741">http://nrich.maths.org/public/viewer.php?obj_id=5741</a></li> </ul> <div>Title: A problem is only a problem when you can't do it</div> <div>Authors: Jennifer Piggott and Jenni Back</div> <div>Published: Primary Mathematics, Autumn 04, Mathematical Association, Leicester</div> <ul> <li>Link (Word Document): <a href="/content/id/2719/A%20problem%20is.doc">A problem is only a problem when you can't do it</a></li> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5738">A problem is only a problem when you can't do it</a></li> </ul> <div>EuroMaths homepage: <a href="http://nrich.maths.org/euromaths/">http://nrich.maths.org/euromaths</a> /</div> Title: Exploring the challenge of online mediation Authors: Jenni Back, Charlie Gilderdale and Jennifer Piggott Published: <ul> <li>Link (Word document): <a href="/content/id/2719/Paper-PME28.doc">Paper-PME28.doc</a></li> <li>Presentation (PowerPoint): <a href="/content/id/2719/CamERA-presentation.ppt">CamERA-presentation.ppt</a></li> <li>Link (Web Page):<a href="http://nrich.maths.org/public/viewer.php?obj_id=5744">http://nrich.maths.org/public/viewer.php?obj_id=5744</a></li> </ul> <div>Title: Enrichment at NRICH</div> <div>Authors: Jennifer Piggott and Jenni Back</div> <div>Published: Primary Mathematics, Spring 04, Mathematical Association, Leicester.</div> <ul> <li>Link (Word Document): <a href="/content/id/2719/Enrichment%20at%20NRICH.doc">Enrichment at NRICH</a></li> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5740">Enrichment at NRICH</a></li> </ul> <div>Title: Enriching Patterns</div> <div>Authors: Jennifer Piggott and Jenni Back</div> <div>Published: Primary Mathematics, Summer 04, Mathematical Association, Leicester</div> <ul> <li>Link (Word Document): <a href="/content/id/2719/Enriching%20Patterns.doc">Enriching Patterns</a></li> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5739">Enriching Patterns</a></li> </ul> <div>Title: What does it mean to "Use the Interactive Whiteboard" in the daily numeracy lesson?</div> <div>Authors: Penny Knight, Jennie Pennant and Jennifer Piggott</div> <div>Published: Micromath, Vol 20, No 2. ATM</div> <ul> <li>Link (Word Document): <a href="/content/id/2719/Interactive%20whiteboard%20-%20MMIWB4.doc">Using the Interactive Whiteboard</a></li> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?obj_id=5782">Using the Interactive Whiteboard</a></li> </ul> 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. <ul> <li>Link (Word document): <a href="/content/id/2719/CamERA-paper.doc">CamERA-paper.doc</a></li> <li>Link (PDF): <a href="/content/id/2719/CamERA-paper.pdf">CamERA-paper.pdf</a></li> <li>Link (Web Page): <a href="http://nrich.maths.org/public/viewer.php?time=1184585198&obj_id=5743">http://nrich.maths.org/public/viewer.php?time=1184585198&obj_id=5743</a></li> </ul> <div>Title: Using non-standard problems to challenge pre-conceptions and extend knowledge</div> <div>Authors: Back J, Pumfrey L, Piggott J</div> <div>Published: Conference Proceedings SEMT (2003).</div> <a href="" name="Publications">Publications </a> Books Title: A Mathematical Bridge: an intuitive journey into higher mathematics (2nd Ed.) Author: Steve Hewson Publisher: World Scientific, Singapore, 2009 Title: <a href="http://nrich.maths.org/4833">Maths Trails</a> 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: <a href="http://nrich.maths.org/4833">Meeting the Needs of Your Most Able Pupils in Mathematics</a> Authors: Lynne McClure, Jennifer Piggott Published: Routledge, Oxford 2007 Resources <a href="http://nrich.maths.org/4833">Maths Buzz </a> Collaborative reasoning challenges developed with BEAM for primary-aged children. <a href="http://nrich.maths.org/4833">The BrainBuster Maths boxes </a> 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 <a href="http://nrich.maths.org/4833">NRICH exploring squares - lesson starter posters CD (KS2/3)</a> <a href="http://nrich.maths.org/4833">NRICH exploring circles - lesson started posters CD (KS3/4)</a> <h3> </h3> </mdoxml> 2 3 0 0 0 0 0 NRICH Research, Education Articles and Publications Find out about the research activities of the NRICH team and other colleagues here. Admin Research sfh10 for teacher page