Mathematical Thinking [[electronic resource] ] : How to Develop It in the Classroom |
Autore | Isoda Masami |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Singapore, : World Scientific Publishing Company, 2012 |
Descrizione fisica | 1 online resource (318 p.) |
Disciplina | 510.71 |
Altri autori (Persone) | KatagiriShigeo |
Collana | Monographs on Lesson Study for Teaching Mathematics and Sciences |
Soggetto topico |
Effective teaching
Mathematical ability Mathematics -- Study and teaching Mathematics - Study and teaching (Primary) Mathematics Physical Sciences & Mathematics Elementary Mathematics & Arithmetic Mathematics Teaching & Research |
ISBN |
1-280-66949-7
9786613646422 981-4350-85-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface to the Book; Preface to the Series; Acknowledgements; Contents; Introductory Chapter: Problem Solving Approach to Develop Mathematical Thinking; 1.1 The Teaching Approach as the Result of Lesson Study; 1.1.1 Learning mathematics by/for themselves; 1.1.2 The difference between tasks and problems (problematic); 1.1.3 Teachers' questioning, and changing and adding representations; 1.1.4 Extending the ideas which we have already learned; 1.2 Setting the Activities for Explaining, Listening, Reflecting, and Appreciating in Class; 1.2.1 Structure of Problem Solving Approaches
1.2.2 Diversity of solutions and the objective of the class1.2.3 Comparison based on the problematic; 1.2.4 Using the blackboard for illustrating children's thinking process; 1.3 The Roles of the Curriculum and Textbooks; 1.4 Perspectives for Developing Mathematical Thinking; 1.4.1 Mathematical thinking: a major research topic of lesson study; 1.4.2 Mathematical thinking: a bird's-eye view; References; Part I Mathematical Thinking: Theory of Teaching Mathematics to Develop Children Who Learn Mathematics for Themselves; Chapter 1 Mathematical Thinking as the Aim of Education 1.1 Developing Children Who Learn Mathematics for Themselves1.2 Mathematical Thinking as an Ability to Think and to Make Decisions; 1.3 The Hierarchy of Ability and Thinking; Chapter 2 The Importance of Cultivating Mathematical Thinking; 2.1 The Importance of Teaching Mathematical Thinking; 2.1.1 The driving forces in pursuing knowledge and skills; 2.1.2 Achieving independent thinking and the ability to learn independently; 2.2 Example: How Many Squares Are There?; 2.2.1 The usual lesson process; 2.2.2 Problems with this method; 2.2.3 The preferred method 2.2.4 Mathematical thinking is the key ability hereChapter 3 The Mindset and Mathematical Thinking; 3.1 Mathematical Thinking; 3.1.1 Focus on the mindset: attitude and disposition; 3.1.2 Three variables for thinking mathematically; 3.1.3 Importance of Denotative understanding of mathematical thinking; 3.1.4 Mathematical thinking is the driving force behind knowledge and skills; 3.2 Structure of Mathematical Thinking; Chapter 4 Mathematical Methods; 4.1 Inductive Thinking; Meaning; Examples; Important aspects about teaching inductive thinking; 4.2 Analogical Thinking; Meaning; Examples Important aspects about teaching analogical thinking4.3 Deductive Thinking; Meaning; Examples; Important aspect about teaching deductive thinking; 4.4 Integrative Thinking; Meaning; Type I integration (high-level integration); Type II integration (comprehensive integration); Type III integration (extensional thinking); Example for type I; Example 2 for type II; Example 3 for type III; Important aspects about teaching integrative thinking; 4.5 Developmental Thinking; Meaning; Examples; Important aspects about teaching developmental thinking; 4.6 Abstract Thinking (Abstraction); Meaning Examples |
Record Nr. | UNINA-9910815160803321 |
Isoda Masami
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Singapore, : World Scientific Publishing Company, 2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mathematical understanding for secondary teaching : a framework and classroom-based situations / edited by M. Kathleen Heid, Patricia S. Wilson with Glendon W. Blume |
Pubbl/distr/stampa | Charlott, NC : Information Age Publishing, Inc. and NCTM, 2015 |
Descrizione fisica | XIV, 456 p. ; 24 cm |
Disciplina | 510.71 |
Soggetto non controllato | Matematica - Educazione |
ISBN | 978-1-68123-113-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990010052800403321 |
Charlott, NC : Information Age Publishing, Inc. and NCTM, 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mathematical Work in Educational Context [[electronic resource] ] : The Perspective of the Theory of Mathematical Working Spaces / / edited by Alain Kuzniak, Elizabeth Montoya-Delgadillo, Philippe R. Richard |
Edizione | [1st ed. 2022.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
Descrizione fisica | 1 online resource (285 pages) |
Disciplina | 510.71 |
Collana | Mathematics Education in the Digital Era |
Soggetto topico |
Mathematics - Study and teaching
Teachers - Training of Mathematics Education Teaching and Teacher Education Ensenyament de la matemàtica |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-90850-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1. The Theory of Mathematical Working Spaces – Theoretical Characteristics -- Chapter 2. Methodological Aspects in the Theory of Mathematical Working Spaces -- Chapter 3. The Theory of Mathematical Working Spaces in Brief -- Chapter 4. The Reference Mathematical Working Space -- Chapter 5. Personal Mathematical Work and Personal MWS -- Chapter 6. The Idoine or Suitable MWS as an Essential Transitional Stage between Personal and Reference Mathematical Work -- Chapter 7. The Theory of Mathematical Working Spaces: Theoretical Environment, Epistemological Stance and Dialogue with other Theories -- Chapter 8. Mathematical work in the digital age. Variety of tools and the role of genesis -- Chapter 9. Instrumental Genesis in the Theory of MWS: Insight from Didactic Research on Digital Artifacts -- Chapter 10. Mathematics Teachers’ Knowledge and Professional Development: A Cross-Case Comparison Study -- Chapter 11. Modeling in Education: New Perspectives Opened by the Theory of Mathematical Working Spaces -- Chapter 12. Mathematical Work and Beyond. |
Record Nr. | UNINA-9910558493403321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
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Lo trovi qui: Univ. Federico II | ||
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A mathematician comes of age [[electronic resource] /] / Steven G. Krantz |
Autore | Krantz Steven G (Steven George), <1951-> |
Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 2012 |
Descrizione fisica | 1 online resource (156 p.) |
Disciplina | 510.71 |
Collana | Spectrum series |
Soggetto topico |
Mathematics - Study and teaching
Mathematics - Study and teaching - Psychological aspects |
Soggetto genere / forma | Electronic books. |
ISBN | 1-61444-511-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introductory thoughts -- Math concepts -- Teaching techniques -- Social issues -- Cognitive issues -- What is a mathematician? -- Is mathematical maturity for everyone? |
Record Nr. | UNINA-9910461374803321 |
Krantz Steven G (Steven George), <1951->
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Washington, D.C., : Mathematical Association of America, 2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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A mathematician comes of age / / Steven G. Krantz [[electronic resource]] |
Autore | Krantz Steven G (Steven George), <1951-> |
Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2012 |
Descrizione fisica | 1 online resource (xvii, 137 pages) : digital, PDF file(s) |
Disciplina | 510.71 |
Collana | Spectrum series |
Soggetto topico |
Mathematics - Study and teaching
Mathematics - Study and teaching - Psychological aspects |
ISBN | 1-61444-511-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introductory thoughts -- Math concepts -- Teaching techniques -- Social issues -- Cognitive issues -- What is a mathematician? -- Is mathematical maturity for everyone? |
Record Nr. | UNINA-9910789908503321 |
Krantz Steven G (Steven George), <1951->
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Washington : , : Mathematical Association of America, , 2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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A mathematician comes of age / / Steven G. Krantz [[electronic resource]] |
Autore | Krantz Steven G (Steven George), <1951-> |
Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2012 |
Descrizione fisica | 1 online resource (xvii, 137 pages) : digital, PDF file(s) |
Disciplina | 510.71 |
Collana | Spectrum series |
Soggetto topico |
Mathematics - Study and teaching
Mathematics - Study and teaching - Psychological aspects |
ISBN | 1-61444-511-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introductory thoughts -- Math concepts -- Teaching techniques -- Social issues -- Cognitive issues -- What is a mathematician? -- Is mathematical maturity for everyone? |
Record Nr. | UNINA-9910818494403321 |
Krantz Steven G (Steven George), <1951->
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Washington : , : Mathematical Association of America, , 2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mathematicians and education reform, 1989-1990 / Naomi D. Fisher, Harvey B. Keynes, Philip D. Wagreich, editors |
Autore | Conference board of the mathematical sciences |
Pubbl/distr/stampa | Providence, R.I. : American Mathematical Society ; Washington, D.C. : Mathematical Association of America, c1991 |
Descrizione fisica | vii, 176 p. : ill. ; 26 cm. |
Disciplina | 510.71 |
Altri autori (Persone) |
Fisher, Naomi
Keynes, Harvey Wagreich, Philip |
Collana | Issues in mathematics education, ISSN 1047398X ; 2 |
Soggetto topico | Mathematics-study and teaching - Congresses |
ISBN | 0821835025 |
Classificazione |
AMS 00A35
QA11.A1M2775 ZDM B00 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001121699707536 |
Conference board of the mathematical sciences
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Providence, R.I. : American Mathematical Society ; Washington, D.C. : Mathematical Association of America, c1991 | ||
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Lo trovi qui: Univ. del Salento | ||
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Mathematicians' Reflections on Teaching [[electronic resource] ] : A Symbiosis with Mathematics Education Theories / / edited by Sepideh Stewart |
Autore | Stewart Sepideh |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (286 pages) |
Disciplina | 510.71 |
Collana | Advances in Mathematics Education |
Soggetto topico |
Mathematics - Study and teaching
Mathematics History Education Teachers - Training of Study Skills Mathematics Education History of Mathematical Sciences Teaching and Teacher Education Study and Learning Skills Ensenyament de la matemàtica Formació del professorat |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-34295-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1. Reflecting on teaching mathematics at university: Collaboration among mathematics educators and mathematicians -- Chapter 2. Promoting effective collaboration in the mathematics community -- Chapter 3. Synergy between mathematicians and mathematics educators: Stories of many, and potent, facets -- Chapter 4. Mind the Gap: Reflections on Collaboration in Research and Teaching -- Chapter 5. Students enjoying transformed and improved learning experiences of mathematics in higher education -- Chapter 6. Identifying minimally invasive active classroom activities to be developed in partnership with mathematicians -- Chapter 7. Didactics of Mathematics as a field of mathematical research: the anthropological approach -- Chapter 8. Collaborative evaluation of teaching and assessment interventions: ideas from realistic evaluation -- Chapter 9. The development of inquiry-based mathematics teaching and learning -- Chapter 10. The Intimate Interplay Between Developing Teaching and Exploring Mathematics Through Reflecting in, on, and for, Teaching -- Chapter 11. Signatures of Teaching Mathematics -- Chapter 12. Long-term principles for meaningful teaching and learning of mathematics. |
Record Nr. | UNINA-9910736990603321 |
Stewart Sepideh
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mathematics & mathematics education: searching for common ground [[electronic resource] /] / edited by Michael N. Fried, Tommy Dreyfus |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (385 p.) |
Disciplina | 510.71 |
Collana | Advances in Mathematics Education |
Soggetto topico |
Mathematics—Study and teaching
Applied mathematics Engineering mathematics Educational policy Education and state Mathematics Education Applications of Mathematics Educational Policy and Politics |
Soggetto genere / forma |
Conference papers and proceedings.
History |
ISBN | 94-007-7473-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface and Acknowledgements -- Introduction -- Mathematics and Mathematics Education: Searching for common ground: Michael N. Fried -- Chapter 1. A Dialogue on a Dialogue -- Mathematics and Mathematics Education: Beginning a Dialogue in an Atmosphere of Increasing Estrangement: Michael N. Fried -- Some of my pet-peeves with mathematics education: Ted Eisenberg -- Mathematics at the Center of Distinct Fields: A Response to michael and Ted: Norma Presmeg -- Chapter 2. Mutual Expectations -- Mutual Expectations between Mathematicians and Mathematics Educators : Tommy Dreyfus.-With contributions by:Uri Onn, Joanna Mamona-Downs, Stephen Lerman -- Chapter 3. History of Mathematics, Mathematics Education, and Mathematics -- History in mathematics education. A hermeneutic approach: Hans Niels Jahnke -- Reflections on History of Mathematics: History of Mathematics and Mathematics Education: Luis Radford -- With contributions by:Alain Bernard, Michael N. Fried , Fulvia Furinghetti, Nathalie Sinclair -- Chapter 4. Problem-Solving: A Problem for Both Mathematics and Mathematics Education -- Reflections on Problem-Solving: Problem solving in mathematics and in mathematics education: Boris Koichu -- With contributions by: Gerald A. Goldin, A. Israel Weinzweig, Shlomo Vinner, Roza Leikin -- Chapter 5. Mathematical Literacy: What Is It and How is It Determined?.-“Mathematical Literacy”: An Inadequate Metaphor: E. Paul Goldenberg -- Reflections on Mathematical literacy : What’s new, why should we care, and what can we do about it? : Anna Sfard -- With contributions by: Abraham Arcavi, Ron Livné, Iddo Gal, Anna Sfard, Hannah Perl -- Chapter 6. Visualization in Mathematics and Mathematics Education: Visualization in Mathematics and Mathematics Education: A Historical Overview : M. A. (Ken) Clements -- Visualization in mathematics and mathematics education: Elena Nardi (University of East Anglia) -- With contributions by: Rina Hershkowitz, Raz Kupferman , Norma Presmeg, Michal Yerushalmy -- Chapter 7. Justification and Proof -- Making Sense of Mathematical Reasoning and Proof: David Tall -- Reflections on Justification and Proof: Justification and Proof in Mathematics and Mathematics Education: Keith Weber -- With contributions by: Gila Hanna, Guershon Harel, Ivy Kidron, Annie Selden and John Selden -- Chapter 8. Policy: What Should We Do, and Who Decides? -- Mathematics and mathematics education policy: Mogens Niss -- Reflections on Policy: Mathematics and Mathematics Education Policy—Searching for Common Ground : Nitsa Movshovitz-Hadar -- With contributions by: Jonas Emanuelsson, Davida Fischman, Azriel Levy, Zalman Usiskin -- Chapter 9. Collaboration -- Mathematics and Education: Collaboration in Practice: Hyman Bass -- Deborah Loewenberg Ball -- Reflections on Collaboration between Mathematics and Mathematics Education: Patrick W. Thompson -- With contributions by: Michéle Artigue, Günter Törner, Ehud de Shalit -- Postscript -- We Must Cultivate Our Common Ground: Jeremy Kilpatrick -- Appendix 1. Ted Eisenberg, Teacher, Colleague, and Friend -- Ted as advisor and colleague: Tommy Dreyfus -- Thank you, Ted!: Francis Lowenthal -- Annotated bibliography of Ted Eisenberg’s Major Publications: Tommy Dreyfus -- Appendix 2. Reprints of the Dialogues between Presmeg, Eisenberg, and Fried from ZDM 41(1-2).-Index. |
Record Nr. | UNINA-9910484481603321 |
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mathematics (Education) in the Information Age / / edited by Stacy A. Costa, Marcel Danesi, and Dragana Martinovic |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2020] |
Descrizione fisica | 1 online resource (X, 226 p. 71 illus., 8 illus. in color.) |
Disciplina | 510.71 |
Collana | Mathematics in Mind |
Soggetto topico | Mathematics - Study and teaching |
ISBN | 3-030-59177-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. The Information Age, Mathematics, and Mathematics Education (S. Costa, M. Danesi, D. Martinovic) -- 2. An Unsupervised Approach to User Characterization in Online Learning and Social Platforms (D. Vilenchik) -- 3. Argumentation is Elementary: The Case for Teaching Argumentation in Elementary Mathematics Classrooms (K. Marks Krpan, G. Shambu) -- 4. Subverting Stereotypes: Visual Rhetoric in the #SheCanSTEM Campaign (D. Danuser) -- 5, Graphical Literacy, Graphicacy, and STEM Subjects (S. Costa) -- 6. Mathematics, Statistics, and Sports (F. Nuessel) -- 7. Travels with Epsilon in Sign and Space (L.H. Kauffman) -- 8. Experimental Mathematics: Overview and Pedagogical Implications (M. Danesi) -- 9. Why the Basics Still Matter: The Cost of Using a Machine to Do Mathematics (S. Gollish) -- 10. Syntonic Appropriation for Growth in Mathematical Understanding: An Argument for Curated Robotics Experiences (K. Francis, S. Khan) -- 11. Why Do Mathematicians Need Diagrams? Peirce's Existential Graphs and the Idea of Immanent Visuality (V. Kiryushenko) -- 12. Procedural Steps, Conceptual Steps, and Critical Discernments: A Necessary Evolution of School Mathematics in the Information Age (M. Metz, B. Davis) -- 13. If One Can Read and Write Then One Can Also Do Mathematics (R.K. Logan). . |
Record Nr. | UNINA-9910484591503321 |
Cham, Switzerland : , : Springer, , [2020] | ||
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Lo trovi qui: Univ. Federico II | ||
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