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Program & Book of Abstracts 2021 Josip Juraj Strossmayer University of Osijek Faculty of Education Department of Mathematics The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN founded by Margita Pavleković PROGRAM & BOOK OF ABSTRACTS Editors: Zdenka Kolar-Begović Ružica Kolar-Šuper Ana Katalenić Croatia, Osijek, May 28-29, 2021 Organizers Faculty of Education, Josip Juraj Strossmayer University of Osijek Department of Mathematics, Josip Juraj Strossmayer University of Osijek Scientific Committee Zdenka Kolar-Begović Ružica Kolar-Šuper Ljerka Jukić Matić Rudolf Scitovski Kristian Sabo Vladimir Volenec Željka Milin Šipuš Mirta Benšić Ivan Matić Nenad Šuvak Ivana Đurđević Babić Tatjana Hodnik Emil Molnàr Anders Hast Nataša Macura Ljiljanka Kvesić Organizing Committee Zdenka Kolar-Begović Damir Matanović Kristian Sabo Ružica Kolar-Šuper Ljerka Jukić Matić Domagoj Ševerdija Ana Katalenić Diana Moslavac Bičvić Željko Gregorović Karolina Dobi Barišić Ana Mirković Moguš Emil Molnàr Nataša Macura Anders Hast Edith Debrenti Programme Committee Zdenka Kolar-Begović Ružica Kolar-Šuper Ana Katalenić Željka Milin Šipuš Emil Molnàr Anders Hast Nataša Macura Josip Juraj Strossmayer University of Osijek Faculty of Education and Department of Mathematics The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN founded by Margita Pavleković PROGRAM & BOOK OF ABSTRACTS Editors: Zdenka Kolar-Begović Ružica Kolar-Šuper Ana Katalenić Croatia, Osijek May 28-29, 2021 PROGRAM The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 FRIDAY, May 28 9.00 - 9.30 OPENING Morning Session Plenary lecture 9.30-10.15 Vida Manfreda Kolar An analysis of students’ misconceptions as a method of improving the teaching and learning of mathematics through better comprehension: The case of fractions Tatjana Hodnik, Janez Krek 10.15-10.35 Beyond dichotomies in mathematics teaching Attila Bölcskei 10.35-10.55 Spatial geometry in University entrance examinations in Hungary 1980-85 vs. 2015-2020 Jelena Pleština, Željka Milin Šipuš 10.55-11.15 The transition of the concept of a polynomial through undergraduate mathematics courses 11.15-11.45 Break Maja Cindrić, Lucija Karega 11.45-12.05 Fluency of mental computation of a prospective teachers Dubravka Glasnović Gracin, Ana Kuzle 12.05-12.25 Designated geometry curriculum in Croatian primary education: A critical view Željka Milin Šipuš, Matija Bašić, Eva Špalj, Renata Vlahović Kruc 12.25-12.45 Is it mathematics? Available modelling skills of prospective mathematics teachers Željka Zorić 12.45-13.05 What do mathematics teachers believe about professional development, educational research, and teaching? Kerstin Bräuning, Lena Hertel 13.05-13.25 Potential of children math lesson for investigating peer interactions 13.25-14.30 Break The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 Afternoon Session Goran Trupčević, Anđa Valent 14.30-14.50 “Multiplication table, at last!” - Teaching of multiplication in Croatia Jasmina Milinković 14.50-15.10 “Concurrent” method of teaching multiplication and division Azra Staščik, Anita Čorak 15.10-15.30 Open vs. closed tasks in mathematics Marija Gelešić, Ana Katalenić 15.30-15.50 Number representation in textbooks for primary mathematics education in Croatia Edith Debrenti 15.50-16.10 Visualization in the teaching and learning of mathematics 16.10-16.40 Break Vanja Čotić Poturić, Ivan Dražić 16.40-17.00 Does online learning make a difference in students’ grades? Josipa Matotek 17.00-17.20 Attitudes towards online learning among students of Faculty of Civil Engineering and Architecture Osijek Slavica Brkić, Ljiljanka Kvesić, Marina Zubac 17.20-17.40 The role of mathematics in the successful acquisition of teaching material in physics Saša Duka 17.40-18.00 Transformation of population density data in the Republic of Croatia The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 SATURDAY, May 29 Morning Session Plenary lecture 9.00-9.45 Franka Miriam Brueckler A football trip through mathematics 9.45-10.05 Željka Zorić, Gordan Radobolja, Diana Dumančić, Lucija Miloš Mathduel, a math game for high school Ljerka Jukić Matić, Mirela Jukić Bokun, Darija Marković, Dragana Jankov Maširević, Mihaela Ribičić Penava, Mateja Đumić 10.05-10.25 Exploring the factors that influence the utilization of digital games in the mathematics classroom Marina Furkes 10.25-10.45 Mathematics teachers as popularizers of science 10.45-11.15 Coffee Break 11.15-11.35 Karolina Dobi Barišić, Diana Moslavac Bičvić eTwinning as a potential tool in teacher education Aliya Bukusheva 11.35-11.55 Interdisciplinarity in mathematics teacher education Amanda Glavaš, Azra Staščik 11.55-12.15 Essay as technique of assessing the element of mathematical communication 12.15-12.35 Jelena Kišosondi, Ružica Kolar-Šuper, Ana Katalenić, Zdenka Kolar-Begović Didactic manipulatives in primary mathematics education in Croatia Nives Baranović, Branka Antunović-Piton 12.35-12.55 Ways of discovering general rules of growing geometric patterns by students aged 15 to 17 13.00 CLOSING ABSTRACTS The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 Contents Plenary lectures Franka Miriam Brueckler A football trip through mathematics . 1 Vida Manfreda Kolar An analysis of students’ misconceptions as a method of improving the teaching and learning of mathematics through better comprehension: The case of fractions . 3 Contributed talks Nives Baranović, Branka Antunović-Piton Ways of discovering general rules of growing geometric patterns by students aged 15 to 17. 5 Attila Bölcskei Spatial geometry in university entrance examinations in Hungary 1980-85 vs. 2015-2020 . 9 Kerstin Bräuning, Lena Hertel Potential of children math lesson for investigating peer interactions . 13 Slavica Brkić, Ljiljanka Kvesić, Marina Zubac The role of mathematics in the successful acquisition of teaching material in physics . 17 Aliya Bukusheva Interdisciplinarity in mathematics teacher education . 21 Maja Cindrić, Lucija Karega Fluency of mental computation of a prospective teacher . 23 Vanja Čotić Poturić, Ivan Dražić Does online learning make a difference in students’ grades? . 25 Edith Debrenti Visualization in the teaching and learning of mathematics . 27 The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 Karolina Dobi Barišić, Diana Moslavac Bičvić eTwinning as a potential tool in teacher education . 29 Saša Duka Transformation of population density data in the Republic of Croatia . 31 Marina Furkes Mathematics teachers as popularizers of science . 33 Marija Gelešić, Ana Katalenić Number representation in textbooks for primary mathematics education in Croatia . 35 Dubravka Glasnović Gracin, Ana Kuzle Designated geometry curriculum in Croatian primary education: A critical view . 37 Amanda Glavaš, Azra Staščik Essay as technique of assessing the element of mathematical communication . 39 Tatjana Hodnik, Janez Krek Beyond dichotomies in mathematics teaching . 41 Ljerka Jukić Matić, Mirela Jukić Bokun, Darija Marković, Dragana Jankov Maširević, Mihaela Ribičić Penava and Mateja Đumić Exploring the factors that influence the utilization of digital games in the mathematics classroom . 45 Jelena Kišosondi, Ružica Kolar-Šuper, Ana Katalenić, Zdenka Kolar-Begović Didactic manipulatives in primary mathematics education in Croatia . 47 Josipa Matotek Attitudes towards online learning among students of Faculty of Civil Engineering and Architecture Osijek . 49 Željka Milin Šipuš, Matija Bašić, Eva Špalj, Renata Vlahović Kruc Is it mathematics? Available modelling skills of prospective mathematics teachers . 51 Jasmina Milinković “Concurrent” method of teaching multiplication and division . 55 Jelena Pleština, Željka Milin Šipuš The transition of the concept of a polynomial through undergraduate mathematics courses . 57 Azra Staščik, Anita Čorak Open vs. closed tasks in mathematics . 59 The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 Goran Trupčević, Anđa Valent “Multiplication table, at last!” - Teaching of multiplication in Croati . 61 Željka Zorić What do mathematics teachers believe about professional development, educational research, and teaching? . 65 Željka Zorić, Gordan Radobolja, Diana Dumančić, Lucija Miloš Mathduel, a math game for high school . 67 The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 A football trip through mathematics Franka Miriam Brueckler Department of Mathematics, Faculty of Science, University of Zagreb, Croatia Abstract. Football (or soccer) is as much popular as mathematics is not, at least in the general public and among kids in particular. However, one cannot be a football fan without using some mathematics, as will be demonstrated by examples ranging from 1st to 8th year of primary school. For each grade, we shall give examples of incorporating football topics (of real relevance to anyone interested in football) into the Croatian mathematical curriculum. This ranges from basic arithmetics needed to follow the results of a championship up to the application of the Pythagorean theorem and basic probability to explain penalty statistics. Keywords: primary school mathematics, football, arithmetics, geometry, probability, algebra 1 The 8th International Scientific Colloquium MATHEMATICS AND CHILDREN 2021 Nogometom kroz matematiku Franka Miriam Brueckler Matematički odsjek, Prirodoslovno-matematički fakultet, Sveučilište u Zagrebu,
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