title: The Mathematics Education for the Future Project
title: King's College, Cambridge Aug 8-13, 2022 : Proceedings of the 16th International Conference : Building on the Past to Prepare for the Future
titleType: Subtitle
Creators: name: Morska, Janina
Publisher: name: WTM-Verlag für wissenschaftliche Texte und Medien
Year: 2022
Subjects: subject: 510 Mathematics
subject: 370 Education

description: This volume contains the papers presented at the International Conference Building on the Past to Prepare for the Future held from August 8-13, 2022, in King’s College, Cambridge, UK. It was the 16th conference organised by The Mathematics Education for the Future Project - an international educational and philanthropic project founded in 1986 and dedicated to innovation in mathematics, statistics, science and computer education world wide.
description: Fouze Abu Qouder &amp; Miriam Amit | The Ethnomathematics of the Bedouin - An Innovative Approach of Integrating Socio Cultural Elements into Mathematics Education ..... 1 Nadine Adams &amp; Clinton Hayes | Why Everyone should know Statistics! ..... 7 Anita N. Alexander | The Perspectives of Effective Teaching and Learning of Current Undergraduate and Graduate Mathematics Students ..... 12 Clement Ayarebilla Ali &amp; Ernest Kofi Davis | Applications of Basketry to Geometric Tessellations ..... 18 Nurten Alpaslan &amp; Emre Alpaslan | Mathematics for Everybody ..... 24 Cynthia Oropesa Anhalt, Ricardo Cortez, Brynja Kohler &amp; Will Tidwell | Interrogation of Social Justice Contexts in Mathematical Modeling: The Use of Simulations of Practice in the Mathematical Preparation of Teachers ..... 26 Takako Aoki &amp; Shin Watanabe | Find out Mathematics on a Football: Making a football with Paper ..... 32 Sarah Bansilal | Analysing the Demands of an Assessment in a Geometry Pedagogic Content Knowledge Module ..... 35 Mike Bedwell | Three or Four numbers: A Teacher's Tale ..... 41 Esther Billings &amp; Lisa Kasmer | Learning Experiences that Support Primary Teacher Candidates' Understanding and Enactment of Core Mathematics Teaching Practices ..... 44 Victoria Bonaccorso, Joseph DiNapoli &amp; Eileen Murray | Promoting Meaningful Conversations among Prospective Mathematics Teachers ..... 50 Primo Brandi, Rita Ceppitelli &amp; Anna Salvadori | Elementary Dynamic Models: A Strategic Bridge Connecting School and University ..... 56 Simone Brasili &amp; Riccardo Piergallini | Introducing Symmetry and Invariance with Magic Squares ..... 63 Angela Broaddus &amp; Matthew Broaddus | Assessing Mathematical Reasoning: Test Less – Explain More ..... 69 Irena Budínová &amp; Jitka Panáčová | Children with Reduced Cognitive Effectivity, their Problems and Optimal Way of Education ..... 75 Gail Burrill | Data Science and Mathematical Modeling: Connecting Mathematics to the World in which Students Live ..... 81 Gail Burrill &amp; Thomas Dick | Connecting Mathematics to the World: Engaging Students with Data Science ..... 90 Elizabeth A. Burroughs &amp; Mary Alice Carlson | Fostering Empathy in Mathematics through Mathematical Modeling ..... 95 Bernardo Camou | The Adventure of Learning Mathematics and Lakatos's Legacy ..... 101 Carrie Chiappetta, Christopher Walsh, Annie Smith &amp; Javier Perez | K-12 Schools after the Global Pandemic: How a Regional School District in the United States Accelerated Learning for Students, Teachers &amp; Administrators ..... 105 Kathleen Cotter Clayton | Fractions of the Future ..... 111 Joan A. Cotter | Teaching Primary Mathematics without Counting and Place Value with Transparent Number Naming ..... 117 Celisa Counterman | M.A.T.H. = Making Algebraic Thinking Holistic ..... 123 Scott A. Courtney | The Impact of Remote Instruction on Mathematics Teachers' Practices ..... 128 Mili Das | Building on the Past to Prepare for the Future - Impact of Teaching Skills and Professionalism to Reduce Mathematics Phobia ..... 134 Thomas P. Dick | Combining Dynamic Computer Algebra and Geometry to Illustrate "the most marvelous theorem in mathematics" ..... 139 Hamide Dogan, Angel Garcia Contreras &amp; Edith Shear | Geometry, Imagery, and Cognition in Linear Algebra ..... 145 Ann Dowker, Olivia Cheriton &amp; Rachel Horton | Age Differences in Pupils' Attitudes to Mathematics ..... 151 Alden J. Edson &amp; Elizabeth Difanis Phillips | The Potential of Digital Collaborative Environments for Problem-Based Mathematics Curriculum ..... 157 Belinda P. Edwards | Learning to Teach Mathematics using Virtual Reality Simulations ..... 163 Allison Elowson, Kristen Fye, Gregory Wickliff, Christopher Gordon, Alisa Wickliff, Paul Hunter &amp; David Pugalee | Student Research in a Mathematics Enrichment Program ..... 169 Antonella Fatai | Improving Relational and Disciplinary Competences by Rondine Method ..... 175 Courtney Fox | Integrating Mathematics and Science: A Plan for a High School Integrated Pre-Calculus and Physics Course ..... 181 Kathy R. Fox | Building an Understanding of Family Literacy: Changing Perspectives Regarding Authentic Learning Opportunities in the Home ..... 186 Grant A. Fraser | Mathematics for Living: A Course that Focuses on Solving Problems in Today's World ..... 192 Toshiakira Fujii | Roles of Quasi-variables in the Process of Discovering Mathematical Propositions ..... 196 Ben Galluzzo, Katie Kavanagh, Karen Bliss, Michelle Montgomery &amp; Christopher Musco | Math Modelling: Common Pitfalls and Paths for Student Success ..... .202 Parker Glynn-Adey &amp; Ami Mamolo | Modelling Beauty: Hands-on Experiences in Group Theory ..... 208 Gerald A. Goldin, Lisa B. Warner, Roberta Y. Schorr &amp; Daniel Colaneri | Exploring Prospective Mathematics Teachers' Motivating Desires during Group Problem Solving Activity ..... 214 John Gordon &amp; Kehinde Emmanuel Adenegan | Are Abstract Mathematical Thinkers Born or Can They Be Trained? ..... 220 John Gordon | Reuniting Exponents and Logarithms: Teaching Exponents, Inverse functions, and Logarithms, as one Cohesive Pedagogical Unit ..... 225 Debra Hydorn | Infographics to Develop Graphical Literacy ..... 231 Andrew Izsák | Foregrounding Multiplicative Structure in Essential Calculus Topics ..... 237 Brian L. Johnson &amp; Ioannis Gkigkitzis | Interesting Facts about Terminating Decimals ..... 243 Iris DeLoach Johnson | Exploring a Collection of Approachable, Stimulating and Thought-Provoking Problems: Face-to-Face or Virtual? Related or not? ..... 249 Gibbs Y. Kanyongo, Nandini Bhowmick &amp; Erika Williams | Structural Equation Modeling: Focus on Confirmatory Factor Analysis ..... 254 Anna Khalemsky &amp; Yelena Stukalin | Combining Various Data Mining Techniques in Binary Classification Teaching ..... 256 Richard Kitchen | Leveraging Pólya's Heuristic to Support Mathematical Reasoning and Language Development ..... 261 Sergiy Klymchuk | An Innovative Way of Teaching and Assessing Critical Thinking in Mathematics ..... 267 Allison M. Kroesch &amp; Albert Otto | Magic Throughout the Years ..... 273 Aradhana Kumari | Do not Teach the Symbols in Mathematics, Teach the Meaning of the Symbols ..... 277 Sebastian Kuntze, Marita Friesen, Jens Krummenauer, Karen Skilling, Ceneida Fernandez, Pere Ivars, Salvador Llinares, Libuše Samkova &amp; Lulu Healy | Support for Mathematics Teachers through Representations of Practice - Vignette-based Approaches in the Project coReflect@maths ..... 283 Barbara H. Leitherer, Pankaj R. Dwarka, Entela K. Xhane &amp; Jignasa R. Rami | Undergraduate Research in a 2-Year College: Climate Change, Global Learning, Process and Observations ..... 289 Hadas Levi Gamlieli, Alon Pinto &amp; Boris Koichu | Secondary-Tertiary Transition and Effective Ways of Coping with it: A Perspective of Lecturers ..... 295 Sigal Levy &amp; Yelena Stukalin | Introducing Main Statistical Concepts to Non-statisticians ..... 301 Nicole Lewis, Ryan Andrew Nivens, Jamie Price, Jennifer Price &amp; Anant Godbole | Pandemic-Driven Mathematical Initiatives within the East Tennessee State University Center of STEM Education ..... 304 Po-Hung Liu | Students' Perceptions of Paradoxes of the Infinity ..... 310 Hong Lu &amp; Xin Chen | The Relationship between Teacher-student Relationship, Interest, Self-efficacy and Mathematics Achievement – Does Gender Play a Role in it? ..... 316 Cheryl Ann Lubinski &amp; Allison Kroesch | Developing, Not Teaching, Problem-Solving Strategies ..... 322 Jürgen Maaß | Professional Mathematical Modelling: What we can Learn about Teaching Real World Mathematics from the Real Application of Mathematics in our World? ..... 325 Jodelle S. W. Magner &amp; Susan McMillen | Making Word Problems Accessible to All: Innovating through Meaningful Models ..... 331 Rafael Alberto Méndez-Romero &amp; María Angélica Suavita-Ramírez | The mINNga Labs: an Initiative of the Universidad del Rosario to Strengthen STEM Skills, Social Sensitivity and Youth Empowerment in Colombia ..... 333 Jennifer Missen | A Process for Updating Mathematics Teaching for 21st Century Students ..... 338 Shelby Morge &amp; Christopher Gordon | Using Squeak Etoys to Model Mathematical Ideas ..... 344 Janina Morska | New Methods and Forms of Work during Online Maths Lessons ..... 350 Patricia S. Moyer-Packenham | Relationships among Semiotic Representational Transformations and Math Outcomes in Digital Games ..... 354 Svenja Müller &amp; Anna Fath-Streb | Risk Literacy in the Context of Stochastics and Mathematical Education ..... 355 M. Estela Navarro Robles | Elementary Teachers Reaching a Quasi-complete Knowledge of Rational Numbers through an Online Course ..... 361 Benita P. Nel | Noticing through Self-reflection by Mathematics Teachers using Video Stimulated Recall ..... 367 Zanele Ngcobo | Evoking School Mathematical Knowledge among Preservice Secondary Mathematics Teachers through Error Analysis ..... 373 Jenna O'Dell &amp; Todd Frauenholtz | Recruiting Mathematics and Mathematics Education Majors to a University….374 Elizabeth Oldham &amp; Aibhín Bray | Undergraduate Mathematics Students' Reflections on School Mathematics Curricula after a Major Curriculum Change in Ireland ..... 378 Nick Vincent Otuma | Mismatch between Spoken Language and Visual Representation of Mathematical Concepts ..... 384 Jenny Pange &amp; Alina Degteva | Project-based Learning in Statistics ..... 389 Andrea Peter-Koop | School-Readiness in Mathematics: Development of a Screening Test for Children Starting School ..... 395 Maria Piccione &amp; Francesca Ricci | The Importance of Early Developing Symbol-sense ..... 401 Maria Piccione &amp; Francesca Ricci | Activities and tools for Early Developing Symbol-sense ..... 407 Shelley B. Poole | The "Yes, and…" Approach to Teaching Mathematical Modelling ..... 413 Jordan T. Register &amp; Christian H. Andersson | Analysing PSTs Ethical Reasoning in a Data Driven World ..... 418 Sarah A. Roberts, Cameron Dexter Torti &amp; Julie A. Bianchini | A Mathematics Specialist Supporting District Shifts in Instruction for Multilingual Learners through Studio Days ..... 424 Keith Robins | Applying Mathematical Thinking Principles to Real Life Situations to Create an Objective Thinking Strategy ..... 429 Christine Robinson &amp; Karen Singer-Freeman | Digital Enhancements for Common, Online Mathematics Courses ..... 434 Ann-Sofi Röj-Lindberg | Trends in Mathematics Education in Finland ..... 439 Sheena Rughubar-Reddy &amp; Emma Engers | Video Tutorials and Quick Response Codes to Assist Mathematical Literacy Students in a Non-classroom Environment ..... 445 Sheryl J. Rushton, Melina Alexander &amp; Shirley Dawson | Mathematics to Teacher Education Persistence ..... 451 Robyn Ruttenberg-Rozen | In-the-Moment Narratives: Interventions with Learners Experiencing Mathematics Difficulties ..... 457 Tanishq Kumar Sah | Extension of Theories ..... 463 Ishola A. Salami &amp; Temitope O. Ajani | Mathematics Songs to Hip-hop Music: Power to Engage Pupils and Improve Learning Outcomes in Primary Mathematics ..... 466 S R Santhanam | Teaching Mathematics using Storytelling and Technology ..... 472 Ipek Saralar-Aras &amp; Betul Esen | Designing Lessons for the 5th Graders through a Design Study on Teaching Polygons ..... 476 Stephanie Sheehan-Braine &amp; Irina Lyublinskaya | A Framework for Online Problem-Based Learning for Mathematics Educators ..... 482 M. Vali Siadat | Keystone Model of Teaching and Learning in Mathematics ..... 488 Parmjit Singh, Nurul Akma Md Nasir &amp; Teoh Sian Hoon | The Dearth of Development in Mathematical Thinking Among High School Leavers ..... 494 Praneetha Singh | Mathovation- Creativity and Innovation in the Mathematics Classroom ..... 500 Charles Raymond Smith &amp; Cyril Julie | Towards Understanding Integrating Digital Technologies in the Mathematics Classroom ..... 506 Panagiotis Stefanides | "Generator Polyhedron", Icosahedron Non-Regular, Discovered Invention ..... 512 Michelle Stephan &amp; David Pugalee | The Future of Mathematics Education in the Digital Age ..... 518 Yelena Stukalin &amp; Sigal Levy | Introducing Probability Theory to Ultra-Orthodox Jewish Students by Examples from the Bible and Ancient Scripts ..... 522 Emily K. Suh, Lisa Hoffman &amp; Alan Zollman | STEM SMART: Five Essential Life Skills Students Need for their Future ..... 526 Janet (Hagemeyer) Tassell, Jessica Hussung, Kylie Bray, Darby Tassell &amp; Haley (Clayton) Carbone | Elementary Pre-Service Teachers' Beliefs about Mathematics Fluency: Transforming Through Readings &amp; Discussions ..... 531 Eleni Tsami, Dimitra Kouloumpou &amp; Andreas Rokopanos | The Gender Gap in Statistics Courses: A Contemporary View on a Statistics Department ..... 537 Ching-Yu Tseng, Paul Foster, Jake Klinkert, Elizabeth Adams, Corey Clark, Eric C. Larson &amp; Leanne Ketterlin-Geller | Using Cognitive Walkthroughs to Evaluate the Students' Computational Thinking during Gameplay ..... 542 Ariana-Stanca Vacaretu | GROWE in Math ..... 548 Shin Watanabe &amp; Takako Aoki | In School and Out School ..... 554 Laura Watkins, Patrick Kimani, April Ström, Bismark Akoto, Dexter Lim | Representational Competence with Linear Functions: A Glimpse into the Community College Algebra Classroom ..... 560 Ian Willson | Formative Assessment Activities for Introductory Calculus ..... 566 Kay A. Wohlhuter &amp; Mary B. Swarthout | Number Talks: Working to Deepen and Grow Number Sense Knowledge ..... 569 Ryan G. Zonnefeld &amp; Valorie L. Zonnefeld | Rural STEM Teachers: An Oasis in the Desert ..... 574 Valorie L. Zonnefeld | Pedagogies that Foster a Growth Mindset Towards Mathematics ..... 580