Teaching and Learning Secondary School Mathematics: Canadian Perspectives in an International Context

Description

This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step. Front Matter ....Pages i-xx Front Matter ....Pages 1-1 Part I: Preface – On Changing the Landscape: Ecclesiastes Vs. Heraclitus (Rina Zazkis, Nathalie Sinclair)....Pages 3-6 Part I: Preface (Walter Whiteley)....Pages 7-11 Powerful Stories: The Hitchhiker’s Guide to the Secondary Mathematics Curriculum Landscape (Peter Taylor, Divya Lala, Kariane Ouellet, Stefanie Knebel)....Pages 13-26 On Teaching and Learning Mathematics from a Cultural-Historical Perspective (Luis Radford, Isaias Miranda, Gilbert Lacroix)....Pages 27-38 Indigenous Perspectives in School Mathematics: From Intellect to Wisdom (Glen Aikenhead)....Pages 39-49 Live(d) Topographies: The Emergent and Dynamical Nature of Ideas in Secondary Mathematics Classes (Jennifer S. Thom, Florence Glanfield)....Pages 51-60 Drawing Upon Indigenous Knowledges to Transform the Secondary Mathematics Classroom (Lisa Lunney Borden)....Pages 61-72 A Teacher’s Vie – It’s a Path, Not a Gap A Relationship-Based Approach to Mathematics and Well-being (Tom Boland, David Tranter)....Pages 73-79 Part I: Commentary – The Changing Landscape of Teaching and Learning Mathematics (Luckson M. Kaino)....Pages 81-82 Front Matter ....Pages 83-83 Part II: Preface – The Particular, the Generic and the General Once More: Looking into Aspects of Canadian Mathematics Classrooms (David Pimm)....Pages 85-87 Steps Toward a More Inclusive Mathematics Pedagogy (Brent Davis, Jo Towers, Rohan Karpe, Michelle Drefs, Olive Chapman, Sharon Friesen)....Pages 89-99 Learning Mathematics When Students Are New to Schooling and New to English (Richard Barwell, Kathryn Kubota-Zarivnij, Debby Culotta)....Pages 101-116 Introduction to Students at Risk: Case Studies of Often Unheard Students (Ann Kajander)....Pages 117-123 Building Capacity in Grade 9 Mathematics: Case Studies from a Collaborative Inquiry Project in Applied Level Mathematics (Douglas McDougall, Sue Ferguson)....Pages 125-138 Success in Grade 9 Applied Mathematics Courses (Alison Macaulay)....Pages 139-151 Reflecting on Good Mathematics Teaching: Knowing, Nurturing, Noticing (Susan Oesterle)....Pages 153-163 Mathematical Mindsets for the Teaching and Learning of Mathematics (Jamie S. Pyper)....Pages 165-177 Considering Indigenous Perspectives and Mathematics Education: Stories of Our Experiences As Teachers and Teacher Educators (Gladys Sterenberg, Kevin O’Connor)....Pages 179-187 A Teacher’s View – An Unexpected Adventure (Jarron Childs, Jennifer Holm)....Pages 189-198 Part II: Commentary – Shifting to a Culture of Inclusion (Kim Beswick)....Pages 199-208 Front Matter ....Pages 209-209 Part III: Preface – Building Relationships Through an Ethic of Care: Insights from the Work of Julie Long (Elaine Simmt)....Pages 211-214 Culturing Affect, Affective Cultures (Wolff-Michael Roth)....Pages 215-230 Support to Thrive: Raising Resilience in Students in Secondary Schools (Kingsley Hurlington)....Pages 231-244 Digital Technology in Teaching Mathematical Competency: A Paradigm Shift (Sean Chorney)....Pages 245-255 Considering Both Academic and Social Domains: Increasing Student Engagement in At-Risk Classrooms (Limin Jao)....Pages 257-267 A Teacher’s View – My Favourite Mistakes: Experiences Teaching Cree Students in Northern Quebec (Michael Newell)....Pages 269-291 Part III: Commentary – Fostering Relationships in the Work of Teaching Mathematics (Reidar Mosvold)....Pages 293-299 Front Matter ....Pages 301-301 Part IV: Preface – Enhancing Problem-Based Learning (Thomas Kieren)....Pages 303-306 Building Thinking Classrooms (Peter Liljedahl)....Pages 307-316 Teaching Mathematics and Developing Citizenship: How to Use Contexts to Enhance Problem-Based Learning (Annie Savard)....Pages 317-324 Teaching Probability in Junior High School Through Problem Solving: Construction and Analysis of a Probabilistic Problem (Vincent Martin, Izabella Oliveira, Laurent Theis)....Pages 325-338 Bottles and Bridges: Sample Classroom Tasks Created by Beginning Teachers (Ibrahim Abu Atiya, Natasha Luca, Ann Kajander)....Pages 339-351 Promoting Students’ Reasoning About Statistical Inference Through Engagement with a Problem-Based Instructional Activity Involving the Use of TinkerPlots Software (Luis Saldanha, Mathieu Thibault)....Pages 353-365 Supporting Mathematical Creativity Through Problem Solving (Richard Hoshino)....Pages 367-375 Exploring Math Through Social Justice Context Problems (Ami Mamolo, Kevin Thomas, Michael Frankfort)....Pages 377-392 Social Justice and the Teaching and Learning of Mathematics (Gale Russell)....Pages 393-401 A Teacher’s View – Problem Solving in the Secondary Classroom (Shawn Godin)....Pages 403-412 Part IV: Commentary – Characteristics of Mathematical Challenge in Problem-Based Approach to Teaching Mathematics (Roza Leikin)....Pages 413-418 Part IV: Commentary – Doing Is Not the Same As Thinking or Construing (John Mason)....Pages 419-432 Front Matter ....Pages 433-433 Part V: Preface – Planning and Assessment: Teachers and Students As Central Actors (Carolyn Kieran)....Pages 435-439 Planning a Unit by Starting with the End in Mind: Unit and Lesson Planning (Jennifer Holm)....Pages 441-452 Observing for Mathematical Proficiency in Secondary Mathematics Education (Priscila Dias Corrêa)....Pages 453-464 Re-Framing Testing to Better Fit Within Problem-solving Classrooms: Ways to Create and Review Tests (Tina Rapke, Jennifer Hall, Richelle Marynowski)....Pages 465-471 Enhancing Mathematics Teaching and Learning Through Sound Assessment Practices (Christine Suurtamm)....Pages 473-482 Improving Students’ Approaches to Learning High School Mathematics (P. Janelle McFeetors)....Pages 483-494 A Teacher’s View – Broadening Our Conceptions of Assessment to Improve Our Practice (Jimmy Pai)....Pages 495-508 Part V: Commentary – Planning and Assessment from a South African Perspective (Vijay Reddy)....Pages 509-513 Part V: Commentary – On Measures of Measurement and Mismeasurement: A Commentary on Planning and Assessment (Bharath Sriraman)....Pages 515-521 Front Matter ....Pages 523-523 Part VI: Preface – Broadening Mathematical Understanding Through Content (Gila Hanna)....Pages 525-526 “Canada Is Better”: An Unexpected Reaction to the Order of Operations in Arithmetic (Rina Zazkis)....Pages 527-546 Modelling in Secondary Mathematics Education: Moving Beyond Curve Fitting Exercises (France Caron)....Pages 547-560 Learning Algebra with Models and Reasoning (Ann Kajander)....Pages 561-569 In No Uncertain Terms: Encouraging a Critical Stance Toward Probability in School (Nat Banting, Ilona Vashchyshyn, Egan J Chernoff)....Pages 571-588 Encouraging Able Students: An Example of Composition of Linear Polynomials (Edward J. Barbeau)....Pages 589-599 Transition from Secondary to Tertiary Mathematics: Culture Shock – Mathematical Symbols, Language, and Reasoning (Andrijana Burazin, Miroslav Lovric)....Pages 601-611 A Teacher’s View – Teaching a University Bound Statistics Course (Jeff Gardner)....Pages 613-625 Part VI: Commentary – Broadening Mathematical Understanding Through Content (Plinio Cavalcanti Moreira)....Pages 627-639 Back Matter ....Pages 641-695