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Teaching and Learning Secondary School Mathematics
Canadian Perspectives in an International Context
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 -- Series Preface (Gabriele Kaiser and Bharath Sriraman) -- Preface. A northern vision of mathematics education (Ann Kajander, Jennifer Holm and Egan J. Chernoff) -- Foreword (Edward Doolittle) -- Part I. The Changing Landscape of Teaching and Learning Mathematics -- Part I preface. On changing the landscape: Ecclesiastes vs. Heraclitus (Rina Zazkis and Nathalie Sinclair) -- Part I preface (Walter Whiteley) -- Powerful stories: The hitchhiker's guide to the secondary mathematics curriculum landscape (Peter Taylor, Divya Lala, Kariane Ouellet, and Stefanie Knebel ) -- On teaching and learning mathematics from a cultural-historical perspective (Luis Radford, Isaias Miranda, and Gilbert Lacroix) -- Indigenous perspectives in school mathematics: From intellect to wisdom (Glen Aikenhead) -- Live(d) topographies: The emergent and dynamical nature of ideas in secondary mathematics classes (Jennifer S. Thom and Florence Glanfield) -- Drawing upon Indigenous knowledges to transform the secondary mathematics classroom (Lisa Lunney Borden) -- A teacher's view It's a path, not a gap: A relationship-based approach to math and well-being (Tom Boland and David Tranter) -- Part I commentary. The changing landscape of teaching and learning mathematics (Luckson M. Kaino (South Africa) -- Part II. Shifting to a culture of inclusion -- Part II preface. The particular, the generic and the general once more: -- Looking into aspects of Canadian mathematics classrooms (David Pimm) -- Steps toward a more inclusive mathematics pedagogy (Brent Davis, Jo Towers, Rohan Karpe, Michelle Drefs, Olive Chapman,and Sharon Friesen) -- Learning mathematics when students are new to schooling and new to English (Richard Barwell, Kathryn Kubota-Zarivnij, and Debbie Culotta) -- Introduction to students at risk: Case studies of often unheard students (Ann Kajander) -- Building capacity in grade 9 mathematics: Case studies from a Collaborative Inquiry Project in Applied level mathematics (Douglas McDougall and Sue Ferguson) -- Success in Grade 9 Applied mathematics courses (Alison Macaulay) -- Reflecting on good mathematics teaching: Knowing, nurturing, noticing (Susan Oesterle) -- Mathematical mindsets for the teaching and learning of mathematics (Jamie S. Pyper) -- Considering Indigenous perspectives and mathematics education: Stories of our experiences as teachers and teacher educators (Gladys Sterenberg and Kevin O'Connor) -- A teacher's view -- An unexpected adventure (Jarron Childs and Jennifer Holm) -- Part II commentary -- Shifting to a culture of inclusion (Kim Beswick (Australia)) -- Part III: Fostering Relationships -- Part III preface. Building relationships through an ethic of care: Insights from the work of Julie Long (Elaine Simmt) -- Culturing affect, affective cultures (Wolff-Michael Roth) -- Support to thrive: Raising resilience in students in secondary schools (Kingsley Hurlington) -- Digital technology in teaching mathematical competency: A paradigm shift (Sean Chorney) -- Considering both academic and social domains: Increasing student engagement in at-risk classrooms (Limin Jao) -- A teacher's view -- My favourite mistakes: Experiences teaching Cree students in northern communities (Michael Newell) -- Part III commentary -- Fostering relationships in the work of teaching mathematics (Reidar Mosvold (Norway)) -- Part IV: Enhancing Problem-based learning -- Part IV preface -- Enhancing problem-based learning (Tom Kieren) -- Building thinking classrooms (Peter Liljedahl) -- Teaching mathematics and developing citizenship: How to use contexts to enhance problem-based learning (Annie Savard) -- Teaching probability in junior high school through problem solving: Construction and analysis of a probabilistic problem (Vincent Martin, Izabella Oliveira, and Laurent Theis ) -- Bottles and bridges: Sample classroom tasks created by beginning teachers (Abrahim Abu Atiya, Natasha Luca, and Ann Kajander) -- Promoting students' reasoning about statistical inference through engagement with a problem-based instructional activity involving the use of TinkerPlots© software (Luis Saldanha and Mathieu Thibault) -- Supporting mathematical creativity through problem solving (Richard Hoshino) -- Exploring math through social justice context problems (Ami Mamolo, Kevin Thomas, and Michael Frankfort) -- Social justice and the teaching and learning of mathematics (Gale Russell ) -- A teacher's view -- Problem solving in the secondary classroom (Shawn Godin) -- Part IV commentary -- Developing mathematical reasoning through problem solving (Roza Leiken (Israel)) -- Part IV commentary -- Doing is not the same as thinking or construing (John Mason (United Kingdom)) -- Part V: Planning and Assessment -- Part V preface -- Planning and assessment: Teachers and students as central actors (Carolyn Kieran) -- Planning a unit by starting with the end it mind: Unit and lesson planning (Jennifer Holm) -- Observing for mathematical proficiency in secondary mathematics education (Priscila Dias Corrêa) -- Re-framing testing to better fit within problem solving classrooms: Ways to create and review tests (Tina Rapke, Jennifer Hall, and Richelle Marynowski) -- Enhancing mathematics teaching and learning through sound assessment practices (Christine Suurtamm) -- Improving students' approaches to learning high school mathematics (P. Janelle McFeetors ) -- A teacher's view -- Assessment: Broadening our conceptions to improve our practice (Jimmy Pai) -- Part V commentary -- Planning and assessment from a South African perspective (Vijay Reddy (South Africa)) -- Part V commentary -- On measures of measurement and mismeasurement: A commentary on planning and assessment (Bharath Sriraman (The United States of America)) -- Part VI: Broadening mathematical understanding through content -- Part VI preface -- Broadening mathematical understanding through content (Gila Hanna) -- "Canada is better" - An unexpected reaction to the order of operations in arithmetic (Rina Zazkis) -- Modelling in mathematics education: Moving beyond curve fitting exercises (France Caron) -- Learning algebra with models and reasoning (Ann Kajander) -- In no uncertain terms: Encouraging a critical stance toward probability in school (Nat Banting, Ilona Vashchyshyn, and Egan J. Chernoff) -- Composition of linear polynomials (Edward J. Barbeau) -- Transition from secondary to tertiary mathematics -- Culture shock: Mathematical symbols, language, and reasoning (Andrijana Burazin and Miroslav Lovric) -- A teacher's view -- Teaching a university bound statistics course (Jeff Gardner) -- Part VI commentary -- Broadening mathematical understanding through content (Plinio Cavalcanti Moreira (Brazil)) -- END MATTER -- Final commentary: The challenge continues (Jennifer Holm, Ann Kajander, and Egan J. Chernoff) -- INDiCES.-.
edited by Ann Kajander, Jennifer Holm, Egan J Chernoff.