o*

lssue LL

ACTA DIDACTICA UNIVERSITATIS COMENIANAE, MATHEMATICS

EDITOR IN CHIEF: Pavel Kostyrko, Comenius University, Slovakia

EDITORIAL BOARD: Bruno d´Amore, University of Bologna, Italy Claire Vaugelade Berg, University of Agder, Norway Guy Brousseau, Université Victor Sagalen, Bordeaux, France Monika Dillingerová, Comenius University, Slovakia Athanasios Gagatsis, University of Cyprus, Cyprus Ladislav Kvasz, Comenius University, Slovakia Benedetto di Paola, University of Palermo, Italy Luis Radford, Université Laurentieune, Ontario, Canada Michaela Regecová, Comenius University, Slovakia Vladislav Rosa, Comenius University, Slovakia Ivan Trenčanský, Comenius University, Slovakia

MANAGING EDITORS: Michaela Regecová, Peter Vankúš

Acta Didactica Universitatis Comenianae - Mathematics Faculty of Mathematics, Physics and Informatics Comenius University Mlynská dolina 842 48 Bratislava Slovakia e-mail: aduc.fmph@gmail.com

MANUSCRIPTS: Should be sent to abovementioned e-mail address of the managing editors. Instructions for authors are inside the back cover.

SUBSCRIPTIONS: Acta Didactica Universitatis Comenianae, Mathematics is published once a year. This journal is available for exchange. Information on exchange and/or subscription is available at

Library of Faculty of Mathematics and Physics Comenius University, Mlynská dolina,

842 48 Bratislava, Slovakia

Instructions for Authors

This journal is open to articles concerning the mathematics education. Apart from the reports of completed research projects, the journal has space to publish preliminary reports of research in progress.

1. Articles submitted for publication should be written generally in English and

should be sent as Word document (.doc or .docx) to e-mail address aduc.fmph@gmail.com.

2. An abstract of about five lines and about 5−10 key words in English are required. Attach also contact addresses of all authors.

3. Please try to follow the style of our journal in technical preparation of the manuscript (see http://www.ddm.fmph.uniba.sk/ADUC/index.html, section Instruction for Authors).

4. Simple illustrations in the manuscript can be accepted (please keep their number at the minimum). Take in to consideration that articles will be printed without colours.

5. The author will obtain proofs for correction after acceptation of the manuscript.

6. Sending the manuscript for publication in our journal is viewed as the copyright transfer in case the manuscript will be accepted.

ACTA DIDACTICA UNIVERSITATIS COMENIANAE, MATHEMATICS

ISSUE 11, 2011

Technical editor: MICHAELA REGECOVÁ Cover: TIBOR HRABOVSKÝ

Published by Comenius University Press. Printed by Publishing Centre of Comenius University, Bratislava.

ISSN 1210-3608 (print) ISSN 1338-5186 (online)

ISBN 978-80-223-3085-5

Acrn Dr oncttcR U ru tveRslrRrs Gonrt eN nNAE, MATHEMATIcS

lssuE 11,2011

Contents

1 Gonstruct consistency in the assessment of students' mathematics'related beliefs: A three.way cross-sectional pilot comparative studyPaul Andrews, Jose Diego-Mantec6n, Peter Vankrti, Peter Op 't Eynde

27 A first insight of the relationship between students' spatial abilityand geometrical figure apprehensionPanagiota Kalogirou, Athanasios Gagatsis

4'l Students'difficulties in understanding the calculus tasksLilla Krem26rovd

47 Middle and high school students' operative apprehension of geometricalfiguresParaskevi Michael, Athanasios Gagafsls, Evgenios Avgerinos, Alain Kuzniak

59 Further education of mathematics teachersKristin Wigen, Ole Enge

73 Gonvex quadrilaterals and their properties in the training of teachers forprimary educationKatarina ZitXova

ISBN 97 8-80 -223-3 085 -5