THE MATHEMATICS ENTHUSIAST

Volume 6 #3, 2009

THE JOURNAL (WHEEL) KEEPS ON TURNING
Bharath Sriraman (USA)

FEATURE ARTICLES
TWO APPLICATIONS OF ART TO GEOMETRY
Viktor Blåsjö (Sweden/USA)

INTUITIONS OF “INFINITE NUMBERS”: INFINITE MAGNITUDE VS. INFINITE REPRESENTATION
Ami Mamolo (Canada)

ON THE USE OF REALISTIC FERMI PROBLEMS FOR INTRODUCING MATHEMATICAL MODELLING IN SCHOOL
Jonas Bergman Ärlebäck (Sweden)

MATHEMATICAL BEAUTY AND ITS CHARACTERISTICS- A STUDY ON THE STUDENT’S POINT OF VIEW
Astrid Brinkmann (Germany)

AN APPLICATION OF GRÖBNER BASES
Shengxiang Xia and Gaoxiang Xia (China)

SMALL CHANGE – BIG DIFFERENCE
Ilana Lavy and Atara Shriki (Israel)

MATHEMATICAL CURIOSITIES ABOUT DIVISION OF INTEGERS
Jérôme Proulx and Mary Beisiegel (Canada)

HELPING TEACHERS UN-STRUCTURE: A PROMISING APPROACH
Eric Hsu, Judy Kysh, Katherine Ramage, and Diane Resek (USA)

WHO CAN SOLVE 2x=1? AN ANALYSIS OF COGNITIVE LOAD RELATED TO LEARNING LINEAR EQUATION SOLVING
Timo Tossavainen (Finland)

IF MATHEMATICS IS A LANGUAGE, HOW DO YOU SWEAR IN IT?
Dave Wagner (Canada)

FROM TRAPEZOIDS TO THE FUNDAMENTAL THEOREM OF CALCULUS
William Gratzer and Srilal Krishnan (USA)

GRAPH ISOMORPHISMS AND MATRIX SIMILARITY: SWITCHING BETWEEN REPRESENTATIONS
Thierry Dana-Picard (Israel)

SUM OF “N” CONSECUTIVE INTEGERS
Steve Humble (UK)

THE CONTRIBUTIONS OF COMPREHENSION TESTS TO COGNITIVE AND AFFECTIVE DEVELOPMENT OF PROSPECTIVE TEACHERS: A CASE STUDY
Yüksel Dede (Turkey)

MONTANA FEATURE
CUBISM AND THE FOURTH DIMENSION
Elijah Bodish (Missoula, Montana)

BOOK REVIEW
WHAT’S ALL THE COMMOTION OVER COMMOGNITION? A REVIEW OF ANNA SFARD’S THINKING AS COMMUNICATING
Bharath Sriraman (USA)