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
Associate Editors
Dr Mark McCartney - School of Computing and Mathematics, University of Ulster, Newtownabbey, County Antrim, BT37 0QB, UK
Associate Professor Greg Oates - School of Education, University of Tasmania, Australia
Communications Editor
Dr Katherine Seaton - School of Engineering and Math Sciences, La Trobe University, Australia
Twitter account: @MathEdSciTech
Editorial Advisory Board
Dr Ayla Ata Baran - Eskişehir Osmangazi University, Faculty of Education, Turkey
Professor Sergei Abramovich - School of Education and Professional Studies, State University of New York, USA
Professor Brian Bradie - Department of Mathematics, Christopher Newport University, USA
Dr Cornelia Connolly - School of Education, University of Galway, Ireland
Professor Thierry 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 Johann Engelbrecht - Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa
Dr Katie Evans - College of Engineering and Science, Louisiana Tech University, USA
Professor Merrilyn Goos - School of Education & Tertiary Access, University of the Sunshine Coast, Australia
Dr Martin Griffiths - Department of Mathematical Sciences, University of Essex, UK
Dr Suzanne E. Hiller - College of Education, Hood College, USA
Associate Professor Ann Kajander - Faculty of Education, Lakehead University, USA
Dr Igor' Kontorovich - Faculty of Science, University of Auckland, New Zealand
Professor Birgit 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
Assistant Professor Maria Flavia Mammana - Department of Mathematics and Computer Sciences, University of Catania, Italy
Assistant Professor Wes 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
Associate Professor Leanne Rylands - School of Computer, Data and Mathematical Sciences, Western Sydney University, Australia
Professor Anthony G. Shannon - Faculty of Engineering & IT, University of Technology, Australia
Dr Giovanni Vincenzi - Department of Mathematics, University of Salerno, Italy
Professor Extraordinaire Michael D. de Villiers - Mathematics Education, University of Stellenbosch, South Africa
Professor Leigh Wood - Faculty of Business and Economics, Macquarie University, Australia
Professor Rina 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 54 Number 5 May 2023
________________________________________________________________________________
CONTENTS
Articles
639 A framework for capturing structural variation in flipped mathematics instruction
Samuel Otten, Zandra de Araujo, Milan Sherman and Salih Birişçi
671 Investigating the alignment to mathematical modelling of teacher-created mathematical modelling activities available online
Micah Stohlmann and Yichen Yang
687 Contrasting undergraduate mathematics students' approaches to learning and their interactions within two student-centred learning environments
Juulia Lahdenperä, Johanna Rämö and Liisa Postareff
706 Design of tasks for assessment of generalization abilities of preservice teachers of elementary school mathematics
Shai Olsher and Irit Lavie
725 The role of authorial context in mathematicians' evaluations of proof
Ben Davies, David Miller and Nicole Infante
740 Students' understanding of parametric equations in a collaborative technology-enhanced learning environment
Yilmaz Zengin
767 Impacts of COVID-19 on a mathematics graduate programme
Kuiyuan Li and Jia Liu
782 Online quiz for STEM assumed knowledge self-assessment by first year science students: a pilot study
Peter R. Johnston, Dianne J. Watters, Christopher L. Brown, Michael L. Williams and Wendy A. Loughlin
801 Seventh graders' strategies for shading the percentages of geometric shapes
Emrullah Erdem, Burçin Gökkurt and Yasin Soylu
827 The role of generating questions in mathematical modeling
Takumi Fukushima
860 An investigation into the teaching of numeracy in subjects other than mathematics across the curriculum
Pat Coffey and Rachael Sharpe
Classroom Notes
888 Emphasizing visual tools: using R to understand dynamic models of biology and epidemiology
Vikram Dayal
901 A web-based application for generating statistical tables
Christopher J. Casement
913 Minimizing inside a triangle with GeoGebra
Elias Abboud
924 Bernoulli approximation to sine and cosine functions
Alexandre Alves
943 A format for a plagiarism-proof online examination for calculus and linear algebra using Microsoft Excel
Jonathan Hoseana, Oriza Stepanus and Elvina Octora