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Issue Cover

International Journal of Mathematical Education in Science and Technology

Editorial Board

Editor-in-Chief

Dr Colin Foster – Reader in Mathematics Education, Department of Mathematics Education, Schofield Building, Loughborough

University, Loughborough LE11 3TU

Email: [email protected]

Associate Editors

Dr. M. McCartney – School of Computing and Mathematics, University of Ulster, UK

Professor G. Oates – School of Education, University of Tasmania, Australia

Communications Editor

Dr. Katherine Seaton – La Trobe University, Australia

Editorial Advisory Board

Professor S. Abramovich – School of Education and Professional Studies, State University of New York, USA

Dr Ayla Ata Baran – Eskişehir Osmangazi University, Faculty of Education, Turkey

Professor B. Bradie – Department of Mathematics, Christopher Newport University, USA

Dr Cornelia Connolly – School of Education, University of Galway, Ireland

Professor T. Dana-Picard – Applied Mathematics, Jerusalem College of Technology, Israel

Professor Ömür Deveci – Department of Mathematics, Kafkas University, Turkey

Dr Peter Dunn – Faculty of Science, Health, Education and Engineering, University of the Sunshine Coast, Australia

Dr Ulises Xolocotzin Eligio – Department of Educational Mathematics, Cinvestav, IPN, Mexico

Professor J. Engelbrecht – Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa

Dr Katie Evans – College of Engineering and Science, Louisiana Tech University, USA

Dr Martin Griffiths – Department of Mathematical Sciences, University of Essex, UK

Dr Vesife Hatisaru – School of Education, Edith Cowan University, Australia

Dr Suzanne E. Hiller – College of Education, Hood College, USA

Assoc. Professor A. Kajander – Faculty of Education, Lakehead University, USA

Dr Igor’ Kontorovich – Faculty of Science, University of Auckland, New Zealand

Professor B. Loch – College of Science, Health and Engineering, La Trobe University, Australia

Dr. Elizabeth Lugosi – Department of Mathematics, Statistics, and Data Science, Montgomery College, Maryland, USA

Dr. Andrea Maffia – Department of Mathematics, University of Bologna, Italy

Associate Professor M. F. Mammana – Department of Mathematics and Computer Sciences, University of Catania, Italy

Assistant Professor W. Maciejewski – Department of Mathematics and Statistics, San José State University, USA

Dr. Alan McCarthy – School of Arts & Sciences, The University of Notre Dame Australia, Sydney, Australia

Professor Keiichi Nishimura – Mathematics Education, Tokyo Gakugei University, Japan

Dr L. Rylands – School of Mathematics, Western Sydney University, Australia

Professor A. G. Shannon – Faculty of Engineering & IT, University of Technology, Australia

Dr Giovanni Vincenzi – Department of Mathematics, University of Salerno, Italy

Professor Extraordinaire M. D. de Villiers – Mathematics Education, University of Stellenbosch, South Africa

Professor L. Wood – Faculty of Business and Economics, Macquarie University, Australia

Professor R. Zazkis – Faculty of Education, Simon Fraser University, Canada

Founding Editors

Avi C. Bajpai OBE and W. T. Martin

Immediate Past-Editor

Martin Harrison

Aims and Scope

Mathematics pervades every area of our modern world, bringing ever more sharply into focus the responsibilities placed on those who to teach it. Prominent among these is the challenge of developing an interdisciplinary approach, so that each professional group benefits from the expertise of others.

The International Journal of Mathematical Education in Science and Technology provides a forum in which a wide range of peer-reviewed research in mathematics education can be presented, assimilated and eventually adapted to everyday needs in schools, colleges, universities, industry and commerce. The journal is especially interested in facilitating communication between researchers and practitioners, and contributions are welcome from researchers, lecturers, teachers and users of mathematics at all levels regarding the contents of courses and pedagogical approaches across all areas of STEAM (Science, Technology, Engineering, Arts and Mathematics) education. We are always delighted to receive submissions from as diverse and international a range of contributors as possible, including teachers and early-career academics.

Increasing use of technology is being made in the teaching, learning, assessment and presentation of mathematics today, and original and interesting contributions in this rapidly developing area are especially welcome. Mathematical models arising from real situations, the use of computers, digital assistants and software, new teaching aids and techniques are also an important feature. Discussion is encouraged on methods of widening applications throughout science and technology and supporting students in problem solving. We particularly welcome contributions addressing pedagogy in Biology, Chemistry, Computer science, Business, Economics and Finance, Data science, Engineering, and Physics, in addition to Mathematics itself.

Please note that the link to education/pedagogy is critical for IJMEST, and we do not publish articles which merely discuss mathematics.

A distinctive feature of the journal is the Classroom Notes section. This section is for shorter, peer-reviewed articles which are not research articles, and are often new ideas for the mathematics teacher to use in teaching.

We would be glad to receive proposals at any time for special issues in relevant areas.

Readership

Mathematicians and mathematics educators in schools, colleges, and universities.

Peer Review Policy

All submitted manuscripts are subject to initial appraisal by the Editor. If found suitable for further consideration, papers are

subject to peer review by independent, anonymous expert referees. All peer review is double blind and submissions can be

made online at http://mc.manuscriptcentral.com/tmes.

Submitting to International Journal of Mathematical Education in Science and Technology

For more information about the journal and guidance on how to submit, please see www.tandfonline.com/tmes

International Journal of Mathematical Education in Science and Technology

Volume 55 Number 7 July 2024

CONTENTS

Articles

1535 Approaching Euclidean proofs through explorations with manipulative and digital artifacts

Giovanna Valori, Belén Giacomone, Veronica Albanese and Natividad Adamuz-Povedano

1567 Clash of cultures? Exploring students’ perceptions of differences between secondary and tertiary mathematics education

Helena Johansson, Magnus Österholm, Liselott Flodén and Pia Heidtmann

1597 Level-spanning proof-production strategies to enhance students’ understanding of the proof structure in school mathematics

Mikio Miyazaki, Taro Fujita, Koji Iwata and Keith Jones

1619 Different intuitive rules in mathematical thinking

Ali Barahmand

1637 Study visits as a part of mathematical project work in Finnish basic education

Elina Viro

1654 Mathematics teacher education’s missing component: developing pre-service teachers’ appreciation of the utility-value of mathematics

Niamh O’Meara and Olivia Fitzmaurice

1681 Formulating a conjecture through an identification of robust invariants with a dynamic geometry system

Lathiful Anwar, Angeliki Mali and Martin Goedhart

1704 From informal to formal understandings: analysing the development of proportional reasoning and its retention

Rukiye Ayan-Civak, Mine Işıksal-Bostan and Seçil Yemen-Karpuzcu

1727 Evaluating the effect of a blended collaborative/game-based learning strategy for skill reinforcement on undergraduate engineering

Sulma Paola Vera-Monroy, Sandra Rodriguez and Manuel Alfredo Figueredo

Classroom Notes

1744 The problem and geometric application of infinite sequences formed from three given numbers by calculating their pairwise means

Victor Oxman and Moshe Stupel

1753 An example showing that the sum of two normal random variables may not be normal

Takahiko Fujita and Naohiro Yoshida

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