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 | ||
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Lo trovi qui: Univ. Federico II | ||
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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)
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Cham, : Springer Nature, 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 | ||
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Lo trovi qui: Univ. Federico II | ||
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