TME Volume 7, Number 1
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The Mathematics Enthusiast Volume 7 Number 1 Article 10 1-2010 TME Volume 7, Number 1 Follow this and additional works at: https://scholarworks.umt.edu/tme Part of the Mathematics Commons Let us know how access to this document benefits ou.y Recommended Citation (2010) "TME Volume 7, Number 1," The Mathematics Enthusiast: Vol. 7 : No. 1 , Article 10. Available at: https://scholarworks.umt.edu/tme/vol7/iss1/10 This Full Volume is brought to you for free and open access by ScholarWorks at University of Montana. It has been accepted for inclusion in The Mathematics Enthusiast by an authorized editor of ScholarWorks at University of Montana. For more information, please contact [email protected]. The Montana Mathematics Enthusiast ISSN 1551-3440 VOL. 7, NO.1, January 2010, pp.1-174 Editor-in-Chief Bharath Sriraman, The University of Montana Associate Editors: Lyn D. English, Queensland University of Technology, Australia Simon Goodchild, University of Agder, Norway Brian Greer, Portland State University, USA Luis Moreno-Armella, Cinvestav-IPN, México International Editorial Advisory Board Mehdi Alaeiyan, Iran University of Science and Technology, Iran Miriam Amit, Ben-Gurion University of the Negev, Israel Ziya Argun, Gazi University, Turkey Ahmet Arikan, Gazi University, Turkey. Astrid Beckmann, University of Education, Schwäbisch Gmünd, Germany Raymond Bjuland, University of Stavanger, Norway Morten Blomhøj, Roskilde University, Denmark Robert Carson, Montana State University- Bozeman, USA Mohan Chinnappan, University of Wollongong, Australia Constantinos Christou, University of Cyprus, Cyprus Bettina Dahl Søndergaard, University of Aarhus, Denmark Helen Doerr, Syracuse University, USA Ted Eisenberg, Ben-Gurion University of the Negev, Israel Paul Ernest, University of Exeter, UK Viktor Freiman, Université de Moncton, Canada Fulvia Furinghetti, Università di Genova, Italy Anne Birgitte Fyhn, Universitetet i Tromsø, Norway Eric Gutstein, University of Illinois-Chicago, USA Marja van den Heuvel-Panhuizen, University of Utrecht, The Netherlands Gabriele Kaiser, University of Hamburg, Germany Yasemin Kýymaz, Ahi Evran Üniversitesi, Turkey Tinne Hoff Kjeldsen, Roskilde University, Denmark Jean-Baptiste Lagrange, IUFM-Reims, France Stephen Lerman, London South Bank University, UK Frank Lester, Indiana University, USA Richard Lesh, Indiana University, USA Claus Michelsen, University of Southern Denmark, Odense Reidar Mosvold, University of Stavanger Nicholas Mousoulides, University of Cyprus, Cyprus Swapna Mukhopadhyay, Portland State University, USA Norma Presmeg, Illinois State University, USA Gudbjorg Palsdottir,Iceland University of Iceland João Pedro da Ponte, University of Lisbon, Portugal Demetra Pitta Pantazi, University of Cyprus, Cyprus Linda Sheffield, Northern Kentucky University, USA Olof Bjorg Steinthorsdottir, University of North Carolina- Chapel Hill, USA Günter Törner, University of Duisburg-Essen, Germany Renuka Vithal, University of KwaZulu-Natal, South Africa Dirk Wessels, UNISA, South Africa Nurit Zehavi, The Weizmann Institute of Science, Rehovot, Israel The Montana Mathematics Enthusiast is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal is published by Information Age Publishing and the electronic version is hosted jointly by IAP and the Department of Mathematical Sciences- The University of Montana, on behalf of MCTM. Articles appearing in the journal address issues related to mathematical thinking, teaching and learning at all levels. The focus includes specific mathematics content and advances in that area accessible to readers, as well as political, social and cultural issues related to mathematics education. Journal articles cover a wide spectrum of topics such as mathematics content (including advanced mathematics), educational studies related to mathematics, and reports of innovative pedagogical practices with the hope of stimulating dialogue between pre-service and practicing teachers, university educators and mathematicians. The journal is interested in research based articles as well as historical, philosophical, political, cross-cultural and systems perspectives on mathematics content, its teaching and learning. The journal also includes a monograph series on special topics of interest to the community of readers The journal is accessed from 110+ countries and its readers include students of mathematics, future and practicing teachers, mathematicians, cognitive psychologists, critical theorists, mathematics/science educators, historians and philosophers of mathematics and science as well as those who pursue mathematics recreationally. The 40 member editorial board reflects this diversity. The journal exists to create a forum for argumentative and critical positions on mathematics education, and especially welcomes articles which challenge commonly held assumptions about the nature and purpose of mathematics and mathematics education. Reactions or commentaries on previously published articles are welcomed. Manuscripts are to be submitted in electronic format to the editor in APA style. The typical time period from submission to publication is 8-11 months. Please visit the journal website at http://www.montanamath.org/TMME or http://www.math.umt.edu/TMME/ Indexing Information Australian Education Index (For Australian authors); EBSCO Products (Academic Search Complete); EDNA; Cabell’s Directory of Publishing Opportunities in Educational Curriculum and Methods Directory of Open Access Journals (DOAJ); Inter-university Centre for Educational Research (ICO) PsycINFO (the APA Index); MathDI/MathEDUC (FiZ Karlsruhe); Journals in Higher Education (JIHE); Ulrich’s Periodicals Directory; Zentralblatt MATH TMME, vol7, no.1, p. 1 New Year Tidings Bharath Sriraman, The University of Montana About a year ago, I began an editorial on my way from Tromsø (Norway) to Montana, and strangely enough, and a year later, this editorial is penned as I make my way to Tromsø. 2009 proved to be a good year both for the journal and the monograph series, and I am hopeful that 2010 will result in positive tidings for the journal, its authors, editorial board members and the readers of The Montana Mathematics Enthusiast. Some changes have occurred in the structure of the editorial board. Claus Michelsen (University of Southern Denmark) has served his term as an Associate Editor and is being replaced by Simon Goodchild of the University of Agder (Norway). I thank Claus for his support of TMME over the last 3 years. Simon brings tremendous editing experience as well as expertise in statistical techniques, methodological issues, as well as research in learning communities in mathematics teacher development. In addition I am pleased to welcome three new editorial board members, namely Raymond Bjuland and Reidar Mosvold both from the University of Stavanger (Norway), and Mehdi Alaeiyan from Iran University of Science and Technology. These three scholars add to the diversity and strength of the journal. This issue of the journal includes 9 articles, representing a wide geographic range and topics. The opening article by Katz & Katz (Israel) looks at the important albeit forgotten place of non- Standard analysis in the teaching and learning of Calculus. The last article by Aztekin et al. examines a related topic in the context of researching notions of infinity among PhD students in Turkey. This article is based on Aztekin’s PhD dissertation which made effective use of repertory grid methodology to get a nuanced view of different conceptions and misconceptions of infinity held by those with a fairly good academic background in mathematics. The Montana Mathematics Enthusiast, ISSN 1551-3440, Vol. 7, no.1, pp.1- 2 2010 ©Montana Council of Teachers of Mathematics & Information Age Publishing Sriraman Between the bookend pieces with non-Standard Analysis and infinity notions are seven articles reporting on issues related to the classroom, namely teacher development, implementation of mathematics content, mathematical learning in technological environments as well as larger societal issues. For instance Anjum Halai’s article provides a description of a large scale project in rural Pakistan to understand implementation issues surrounding curricular changes in mathematics and science education aimed at poverty alleviation and gender equity. Her paper addresses policy and practice issues in impoverished areas. This year there are two focus issues of the journal planned, one on mathematical giftedness and talent which is being compiled and edited by Viktor Freiman (Canada) and Ali Rejali (Iran). This focus issue is planned as vol7, no2 [June 2010]. A section of the vol7,no3 [October 2010] will focus on the regional work of women mathematics educators in the Northwestern region of North America [Montana, Idaho, Washington, Alberta]. This is being compiled by Ke Norman (Montana). Finally two major monographs are in the works and on schedule for release in 2010. Monograph 10 is the massive Sourcebook on Nordic Research in Mathematics Education, which is a first of its kind 1000+ page tome on mathematics education research in Norway, Sweden, Iceland, Denmark and contributions from Finland. This is on schedule for release in Summer 2010. Monograph 11 focuses on Interdisciplinarity and Creativity in the 21st Century, slated for release in Fall 2010. These two monographs would not have been possible