Table Of Contents 2 2009

THE MONTANA MATHEMATICS ENTHUSIAST ISSN 1551-3440 Vol.6, Nos.1&2, January 2009, pp.1-294 TABLE OF CONTENTS Editorial Information 0. TO PUBLISH OR NOT TO PUBLISH?- THAT IS THE (EDITORIAL) QUESTION Bharath Sriraman (USA)…………………………………………………...………………………..pp.1-2 FEATURE THEMES STATISTICS EDUCATION/MER1 IN THE SOUTHERN HEMISPHERE 1. TEACHER KNOWLEDGE AND STATISTICS: WHAT TYPES OF KNOWLEDGE ARE USED IN THE PRIMARY CLASSROOM? Tim Burgess (New Zealand)………………………………………………………………………..pp.3-24 2. WHAT MAKES A “GOOD” STATISTICS STUDENT AND A “GOOD” STATISTICS TEACHER IN SERVICE COURSES? Sue Gordon, Peter Petocz and Anna Reid (Australia)……………………………………..….pp.25-40 3. STUDENTS’ CONCEPTIONS ABOUT PROBABILITY AND ACCURACY Ignacio Nemirovsky, Mónica Giuliano, Silvia Pérez, Sonia Concari , Aldo Sacerdoti and Marcelo Alvarez (Argentina)..............................................................................................pp.41-46 4. UNDERGRADUATE STUDENT DIFFICULTIES WITH INDEPENDENT AND MUTUALLY EXCLUSIVE EVENTS CONCEPTS Adriana D'Amelio (Argentina)……………………………………………………………………pp.47-56 5. ENHANCING STATISTICS INSTRUCTION IN ELEMENTARY SCHOOLS: INTEGRATING TECHNOLOGY IN PROFESSIONAL DEVELOPMENT Maria Meletiou-Mavrotheris (Cyprus), Efi Paparistodemou (Cyprus) & Despina Stylianou(USA) ………………………………………………………………………………………………..………pp.57-78

1

Mathematics Education Research

6. TEACHING STATISTICS MUST BE ADAPTED TO CHANGING CIRCUMSTANCES: A Case Study from Hungarian Higher Education Andras Komaromi (Hungary)…………………………………………………………………….pp.79-86 7. STATISTICS TEACHING IN AN AGRICULTURAL UNIVERSITY: A Motivation Problem Klara Lokos Toth (Hungary)……………………………………………………………………..pp.87-90 8. CALCULATING DEPENDENT PROBABILITIES Mike Fletcher (UK)………………………………………………………………………………..pp.91-94 9. FOR THE REST OF YOUR LIFE Mike Fletcher (UK)………………………………………………………………………………..pp.95-98

10. LEARNING, PARTICIPATION AND LOCAL SCHOOL MATHEMATICS PRACTICE Cristina Frade (Brazil) & Konstantinos Tatsis (Greece)..................................................pp.99-112 11. IF A.B = 0 THEN A = 0 or B = 0? Cristina Ochoviet(Uruguay) & Asuman Oktaç (Mexico)……………………..……………pp.113-136

FEATURE ARTICLES 12. THE ORIGINS OF THE GENUS CONCEPT IN QUADRATIC FORMS Mark Beintema & Azar Khosravani (Illinois, USA)............................................................pp.137-150 13. THE IMPACT OF UNDERGRADUATE MATHEMATICS COURSES ON COLLEGE STUDENT’S GEOMETRIC REASONING STAGES Nuh Aydin (Ohio, USA) & Erdogan Halat (Turkey)……………………………..……….………..pp.151-164 14. A LONGITUDINAL STUDY OF STUDENT’S REPRESENTATIONS FOR DIVISION OF FRACTIONS Sylvia Bulgar (USA)………………………………………………………………………………………….pp.165-200

15. ELEMENTARY SCHOOL PRE-SERVICE TEACHERS’ UNDERSTANDINGS OF ALGEBRAIC GENERALIZATIONS Jean E. Hallagan, Audrey C. Rule & Lynn F. Carlson (Oswego, New York) ……………………………………………………………………………………………………..……pp.201-206 16. COMPARISION OF HIGH ACHIEVERS WITH LOW ACHIEVERS: Discussion of Juter’s (2007) article T. P. Hutchinson (Australia)…………………………………….……………………..…………………pp.207-212

17. FOSTERING CONNECTIONS BETWEEN THE VERBAL, ALGEBRAIC, AND GEOMETRIC REPRESENTATIONS OF BASIC PLANAR CURVES FOR STUDENT’S SUCCESS IN THE STUDY OF MATHEMATICS Margo F. Kondratieva & Oana G. Radu (New Foundland, Canada)………………….………pp.213-238

18. KOREAN TEACHERS’ PERCEPTIONS OF STUDENT SUCCESS IN MATHEMATICS: Concept versus procedure Insook Chung (Notre Dame, USA).......................................................................................pp. 239-256

19. HOW TO INCREASE MATHEMATICAL CREATIVITY- AN EXPERIMENT Kai Brunkalla (Ohio, USA)…………………………………………………………………………pp.257-266

20. CATCH ME IF YOU CAN! Steve Humble (UK)…………………………………………………….……………………………………pp.267-274

21. A TRAILER, A SHOTGUN, AND A THEOREM OF PYTHAGORAS William H. Kazez (Georgia, USA)…………………………….………………………………………..pp.275-276

MONTANA FEATURE 22. BOOK X OF THE ELEMENTS: ORDERING IRRATIONALS Jade Roskam (Missoula, Montana)……………………………………………………………………...pp.277-294