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Probabilistic Thinking : Presenting Plural Perspectives / / edited by Egan J. Chernoff, Bharath Sriraman
Probabilistic Thinking : Presenting Plural Perspectives / / edited by Egan J. Chernoff, Bharath Sriraman
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (746 p.)
Disciplina 510.71
Collana Advances in Mathematics Education
Soggetto topico Mathematics—Study and teaching 
Probabilities
Philosophy and social sciences
Mathematics Education
Probability Theory and Stochastic Processes
Philosophy of Education
ISBN 94-007-7155-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto SERIES PREFACE: Gabriele Kaiser and Bharath Sriraman -- ACKNOWLEDGEMENTS -- FOREWORD: Keith Devlin -- INTRODUCTION: Egan Chernoff and Bharath Sriraman -- PERSPECTIVE I: MATHEMATICS AND PHILOSOPHY -- Preface to Perspective I: Mathematics and Philosophy: Egan Chernoff and Gale Russell -- I.I. A historical and philosophical perspective on probability: Manfred Borovcnik and Ramesh Kapadia -- I.II. From puzzles and paradoxes to concepts in probability: Manfred Borovcnik and Ramesh Kapadia -- I.III. Three approaches for modeling situation with randomness: Andreas Eichler and Markus Vogel -- I.IV. A modeling perspective on probability: Maxine Pfannkuch and Ilze Ziedins -- Commentary on Perspective I: Mathematics and Philosophy: Bharath Sriraman and Kyeong-Hwa Lee -- PERSPECTIVE II: PSYCHOLOGY -- Preface to Perspective II: Psychology : Wim van Dooren -- II.I. Statistical thinking: no child left behind: Björn Meder and Gerd Gigerenzer -- II.II. The A-B-C of probabilistic literacy: Laura Martignon -- II.III. Intuitive conceptions of probability and the development of basic math skills: Gary Brase, Sherri Martinie and Carlos Castillo-Garsow -- II.IV. Testing a model on probabilistic reasoning: Francesca Chiesi and Caterina Primi -- II.V. Revisiting the medical diagnosis problem: reconciling intuitive and analytical thinking: Lisser Rye Ejersbo and Uri Leron -- II.VI. Rethinking probability education: perceptual judgment as epistemic resource: Dor Abrahamson -- II.VII. Sticking to your guns: a flawed heuristic for probabilistic decision-making: Deborah Bennett -- II.VIII. Developing probabilistic thinking: what about peoples’ conceptions: Annie Savard -- Commentary I on Perspective II: Psychology : Brian Greer -- Commentary II on Perspective II: Psychology: Richard Lesh and Bharath Sriraman -- PERSPECTIVE III: STOCHASTICS -- Preface to Perspective III: Stochastics: Bharath Sriraman and Egan Chernoff -- III.I. Prospective primary school teachers’ perception of randomness: Carmen Batanero, Pedro Arteaga, Luis Serrano and Blanca Ruiz -- III.II. Challenges of developing coherent probabilistic reasoning: rethinking randomness and probability from a stochastic perspective: Luis Saldanha and Yan Liu -- III.III. “It is very, very random because it doesn’t happen very often”: examining learners’ discourse on randomness: Simin Jolafee, Rina Zazkis and Nathalie Sinclair -- III.IV. Developing a modelling approach to probability using computer-based simulations: Theodosia Prodromou -- III.V. Promoting statistical literacy through data modelling in the early school years: Lyn D. English -- III.VI. Learning Bayesian statistics in adulthood: Wolff-Michael Roth -- Commentary on Perspective III: Stochastics: Mike Shaughnessy -- PERSPECTIVE IV: MATHEMATICS EDUCATION -- Preface to Perspective IV: Mathematics Education: Bharath Sriraman and Egan Chernoff -- IV.I. A practitional perspective on probabilistic thinking models and frameworks: Edward S. Mooney, Cynthia Langrall and Joshua T. Hertel -- IV.II. Experimentation in probability teaching and learning: Per Nilsson -- IV.III. Investigating the dynamics of stochastic learning processes: Susanne Prediger and Susanne Schnell -- IV.IV. Counting as a foundation for learning to reason about probability: Carolyn A. Maher and Anoop Ahluwalia -- IV.V. Levels of probabilistic reasoning of high school students about binomial problems: Ernesto Sánchez and Pedro Rubén Landín -- IV.VI. Children’s construction of sample space with respect to the law of large numbers: Efi Paparistodemou -- IV.VII. Researching conditional probability problem solving: Pedro Huerta -- IV.VIII. Real life experiences as hindrance in probabilistic situations: Ami Mamolo and Rina Zazkis -- IV.IX. Influence of culture on high school students’ probabilistic thinking: Sashi Sharma -- IV.X. Primary school students’ attitudes to and beliefs about probability: Steven Nisbet and Anne Williams -- Commentary on Perspective IV: Mathematics Education: Jane Watson -- COMMENTARY on Probabilistic Thinking: Presenting Plural Perspectives: Egan Chernoff and Bharath Sriraman -- AUTHOR INDEX -- SUBJECT INDEX.
Record Nr. UNINA-9910484910103321
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Research on Teaching and Learning Probability [[electronic resource] /] / by Carmen Batanero, Egan J. Chernoff, Joachim Engel, Hollylynne S. Lee, Ernesto Sánchez
Research on Teaching and Learning Probability [[electronic resource] /] / by Carmen Batanero, Egan J. Chernoff, Joachim Engel, Hollylynne S. Lee, Ernesto Sánchez
Autore Batanero C (Carmen)
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham, : Springer Nature, 2016
Descrizione fisica 1 online resource (VII, 33 p. 1 illus.)
Disciplina 370
Collana ICME-13 Topical Surveys
Soggetto topico Mathematics—Study and teaching 
Teaching
Learning
Instruction
Mathematics Education
Teaching and Teacher Education
Learning & Instruction
Soggetto non controllato Mathematics Education
Teaching and Teacher Education
Learning and Instruction
ISBN 3-319-31625-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Main Topics You Can Find in this “ICME-13 Topical Survey” -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead.
Record Nr. UNINA-9910156519903321
Batanero C (Carmen)  
Cham, : Springer Nature, 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Teaching and Learning Secondary School Mathematics : Canadian Perspectives in an International Context / / edited by Ann Kajander, Jennifer Holm, Egan J Chernoff
Teaching and Learning Secondary School Mathematics : Canadian Perspectives in an International Context / / edited by Ann Kajander, Jennifer Holm, Egan J Chernoff
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (681 pages)
Disciplina 510
Collana Advances in Mathematics Education
Soggetto topico Mathematics—Study and teaching 
Learning
Instruction
Teaching
Mathematics Education
Learning & Instruction
Teaching and Teacher Education
ISBN 3-319-92390-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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.-.
Record Nr. UNINA-9910299509103321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Teaching and Learning Stochastics : Advances in Probability Education Research / / edited by Carmen Batanero, Egan J Chernoff
Teaching and Learning Stochastics : Advances in Probability Education Research / / edited by Carmen Batanero, Egan J Chernoff
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (381 pages)
Disciplina 519.2071
Collana ICME-13 Monographs
Soggetto topico Mathematics—Study and teaching 
Probabilities
Teaching
Learning
Instruction
Mathematics Education
Probability Theory and Stochastic Processes
Teaching and Teacher Education
Learning & Instruction
ISBN 3-319-72871-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Section 1. Teaching probability -- Chapter 1. Reasoning with risk: teaching probability and risk as twin concepts -- Chapter 2. Language and lexical ambiguity in the probability register -- Chapter 3. The status of probability in the elementary and lower secondary school mathematics curriculum: the rise and fall of probability in school mathematics in the United States -- Chapter 4. Challenges and opportunities in experimentation-based instruction in probability -- Chapter 5. Visualising conditional probabilities – three perspectives on unit squares and tree diagrams -- Chapter 6. Probability concepts needed for teaching a repeated sampling approach to inference -- Chapter 7. Characterizing the probability problems proposed in university entrance tests in Andalucia -- Chapter 8. Random walks in the didactics of probability: enactive metaphoric learning sprouts -- Chapter 9. The role of statistics anxiety in learning probability -- Section 2. Students’ reasoning and learning -- Chapter 10. What 9- and 10-year old pupils already know and what they can learn about randomness -- Chapter 11. Understanding children’s meaning of randomness in relation to random generators. -- Chapter 12. Reasoning in decision making under uncertainty and decisions of risi on a game of chance -- Chapter 13. Determinism and empirical commitment in probabilistic reasoning of high school students -- Chapter 14. Students’ reasoning on sample space and probabilities of compound events -- Chapter 15. The six loses: risky decisions between probabilistic reasoning and gut feelings -- Section 3. Education of teachers -- Chapter 16. Comparing the relative probabilities of events -- Chapter 17. Preparing teachers for teaching probability through problem solving -- Chapter 18. Exploring teachers’ attitudes towards probability and its teaching -- Chapter 19. Students’ reflections about a course for learning probability via simulations -- Chapter 20. Prospective teachers reasoning in the context of sampling -- A commentary on teaching and learning stochastics: Advances in probability education research. .
Record Nr. UNINA-9910299528703321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui