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

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