11 th International Conference TEACHING MATHEMATICS: RETROSPECTIVE AND PERSPECTIVES PROCEEDINGS

Transcription

1 DAUGAVPILS UNIVERSITY 11 th International Conference TEACHING MATHEMATICS: RETROSPECTIVE AND PERSPECTIVES May 6 7, 2010, Daugavpils, Latvia PROCEEDINGS 11. Starptautiskā zinātniskā konference MATEMĀTIKAS MĀCĪŠANA: VĒSTURE UN PERSPEKTĪVAS gada maijā, Daugavpils, Latvija RAKSTU KRĀJUMS DAUGAVPILS UNIVERSITY ACADEMIC PRESS SAULE 2010

2 Daugulis P. (red.). 11. Starptautiskā zinātniskā konference Matemātikas mācīšana: vēsture un perspektīvas gada maijā, Daugavpils, Latvija. Rakstu krājums. = 11 th International Conference Teaching Mathematics: Retrospective and Perspectives. May 6 7, 2010, Daugavpils, Latvia. Proceedings. Daugavpils: Daugavpils Universitātes Akadēmiskais apgāds Saule, lpp. Conference organizer: Daugavpils University, Latvia International Program Committee: P. Daugulis (chairman, Daugavpils University, Latvia), A. Andzans (University of Latvia, Latvia), E. Gingulis (Liepaja University, Latvia), B. Grevholm (University of Agder, Norway) E. Krastina (Daugavpils University, Latvia), R. Kudzma (Vilnius University, Lithuania), M. Lepik (Tallinn University, Estonia), J. Mencis (University of Latvija, Latvia) Organizing Committee: P. Daugulis (chairman, Daugavpils University, Latvia), V. Beinarovicha (Daugavpils University, Latvia), G. Gedzhune (Daugavpils University, Latvia), I. Gedzhune (Daugavpils University, Latvia), A. Gritsans (Daugavpils University, Latvia), D. Ilishko (Daugavpils University, Latvija), R. Japina (Daugavpils University, Latvia), V. Paškevičs (Daugavpils University, Latvia), A. Sondore (Daugavpils University, Latvia), I. Yermachenko (Daugavpils University, Latvia) Information support: ISSN ISBN Daugavpils University, 2010

3 CONTENTS PREFACE... 5 RESEARCH... 7 Peteris Daugulis, Alesya Shapkova Research of mathematical reaction time of schoolchildren for improving mathematical education... 8 Rasma Garleja, Ilmārs Kangro Methodical approaches to the acquisition and application of mathematical concepts Vilma Gesevičienė, Edmundas Mazėtis Survey of possibilities of ICT use for teaching mathematics in primary school Barbro Grevholm Upper secondary mathematics teaching and teachers two Nordic studies Indrek Kaldo Student s view of mathematics in Estonia at university level Tapio Keranto, Vesa-Matti Sarenius Proof constructions and their evaluations among Finnish prospective teachers Elfrīda Krastiņa, Elga Drelinga Evaluation of primary school pupils mental calculation skills: problems and perspectives Jüri Kurvits Operations with rational numbers in grades 5 to Joana Lipeikienė Investigations of the technology for teaching mathematics in Lithuania Juozas Juvencijus Mačys Elementary proofs of irrationality Kaarin Riives-Kaagjärv On assessment systems in higher education Viktorija Sičiūnienė, Janina Dargytė Teaching mathematics to gifted learners in Lithuanian basic school: the analysis of the situation and prospects PRACTICE Valentina Beinarovica, Inara Yermachenko A mathematics teacher training programme to promote pupils development of research abilities Vytautas Bernotas, Nijolė Cibulskaitė On improving the quality of mathematics studies at Vilnius Pedagogical University: Bachelor's thesis Sarmite Cernajeva, Anda Zeidmane The preparatory courses for the state examinations in mathematics in the ORTUS website environment Andrejs Cibulis Individual assignments, tests, examination problems: insight into first year students solutions Valentina Dagiene, Eugenijus Stankus Initial teacher education in Lithuania: policies, tendencies and challenges

4 Ingrida Veilande On the importance of mastering solution methods of elementary number theory problems HISTORY Juozas Banionis Professor Zigmas Žemaitis ( ) as a reformist of mathematics teaching in Lithuania Laura Freija Teaching aids in advanced mathematics Edvins Gingulis Master students research in didactics of mathematics at Liepaja University Anna Vintere Creation of international cooperation networks to facilitate the development of mathematics studies in LUA

5 Preface The 11th international conference Teaching mathematics: retrospective and perspectives was held on May 6-7, 2010, at Daugavpils University, Latvia. More than 70 educators and mathematicians from 6 countries with a variety of interests and backgrounds participated in the conference. More information about the conference is available at its webpage at This annual conference series started in 1984 in Liepaja, Latvia, as a seminar series for Baltic mathematics education professionals and students. Since 1998 this forum has been organized as annual international conferences. The aim of these conference series is to report and discuss significant recent research, history and activities related to mathematical education. The conference reports were grouped around the following main themes: teaching and learning mathematics research and reports on the content, methods, organisation and quality control of mathematics education, including mathematical, pedagogical, psychological, historical, biographical and other aspects of mathematics teaching. extracurricular activities in mathematics education research and reports on various aspects of students' mathematics contests, mathematical clubs, groupwork, projects and web-based activities. professional and career development of mathematics educators research on various aspects of teacher education, training, professional development and evaluation. technology in mathematics education research of the use of information and communication technology in mathematics teaching and learning. This edition contains selected papers submitted by the participants of the conference. The collection is divided into 3 sections according to the type of papers research, practice and history. All papers have been peer reviewed. We thank the members of the program and organizing committees as well as external reviewiers for their hard work which has produced this volume. Peteris Daugulis, chairman Conference program and editorial committee November, 2010