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Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators / / edited by Alexei Volkov, Viktor Freiman
| Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators / / edited by Alexei Volkov, Viktor Freiman |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (464 pages) |
| Disciplina | 004.09 |
| Collana | Mathematics Education in the Digital Era |
| Soggetto topico |
Mathematics - Study and teaching
Computers - History Mathematics History Mathematics Education History of Computing History of Mathematical Sciences |
| ISBN | 3-319-73396-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction, by A. Volkov and V. Freiman -- Part 1. Middle East and Greece in Antiquity and Middle Ages -- Chapter 1. “Computation in Early Mesopotamia,” by Duncan Melville -- Chapter 2. “Computations in Ancient Mesopotamian Mathematics: from Ur III to the Seleucid period”, by Jens Hoyrup -- Chapter 3. “Computation Techniques in Ancient Greek Sources,” by Fabio Acerbi -- Chapter 4. “Procedural aspects in Nicomachus’ Arithmetic introduction and its transmission to Byzantine higher education,” by Jean Christianidis and Athanasia Megremi -- Part 2: Oriental traditions -- Chapter 5. “Counting instruments and computations in traditional Chinese mathematics: didactical aspects,” by Alexei Volkov -- Chapter 6. “Dust computations in the Lilavati,” by Takanori Kusuba -- Chapter 7. “The role of the prescription of division in the algorithmic approach for setting up tabular algebraic equations in medieval China and India: a comparison,” by Charlotte-V. Pollet -- Chapter 8. “Same Rods, Same Calculation? Contextualizing Computations in Eighteenth-Century Korea,” by Oh Young-Sook -- Chapter 9. “On the History of Exercises in the Computations Performed with the Abacus in China and Japan,” by Chen Yi-Fu -- Chapter 10. “Teaching computation in 19th century Japan: the transition from individual coaching on traditional devices at the end of the Edo period (1600-1868) to lectures on Western mathematics during the Meiji period (1868-1912),” by Marion Cousin -- Part 3. Early modern Europe and Russia -- Chapter 11. “Computation Devices in 19th Century Mathematics Instruction in Europe,” by Gert Schubring -- Chapter 12. “Teaching computation in Russia,” by Alexander Karp -- Chapter 13. “Computational devices in 19-20 century schools – evolution from tool of calculation to the tool of teaching and learning,” by Viktor Freiman -- Part 4. Theoretical approaches and concluding remarks -- Chapter 14. “The unsettling pleasure of computing,” by Jean-François Maheux -- Chapter 15. “Transition to electronic devices: technological affordances and didactical perspective,” by Nathalie Sinclair -- Chapter 16. “Concluding remarks,” by Viktor Freiman and Alexei Volkov. |
| Record Nr. | UNINA-9910309662303321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Creativity and Technology in Mathematics Education / / edited by Viktor Freiman, Janet Lynne Tassell
| Creativity and Technology in Mathematics Education / / edited by Viktor Freiman, Janet Lynne Tassell |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (552 pages) |
| Disciplina | 510.71 |
| Collana | Mathematics Education in the Digital Era |
| Soggetto topico |
Mathematics - Study and teaching
Learning, Psychology of Educational technology Mathematics Education Instructional Psychology Digital Education and Educational Technology |
| ISBN | 3-319-72381-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction Section: Setting the Stage of Investigation -- Chapter 1 Leveraging Mathematics Creativity by Using Technology: Questions, Issues, Solutions, and Innovative Paths (Viktor Freiman and Janet Tassell) -- Part 1: Teaching Practices and Instructional Strategies to Inspire Authentic Creativity -- Chapter 2 Screencasting as a Tool to Capture Moments of Authentic Creativity (Dana Cox, Suzanne Harper, and Michael Todd Edwards) -- Chapter 3 The Create Excellence Framework’s Impact on Enhancing Creativity: Examining Elementary Teacher Candidate Mathematics Lesson Planning (Janet Lynne Tassell, Rebecca Stobaugh, and Marge Maxwell) -- Chapter 4 Impacting Mathematical and Technological Creativity with Dynamic Technology Scaffolding (Sandra R. Madden) -- Chapter 5 Three-Act Tasks: Creative Means of Engaging Authentic Mathematical Thinking through Multimedia Storytelling (Adrienne Redmond-Sanogo, Susan Stansberry, Penny Thompson, and Sheri Vasinda) -- Part 2: Creativity in Technology-Rich Mathematical Environments -- Chapter 6 Interactive Technology to Foster Creativity in Future Mathematics Teachers (Alfinio Flores, Jungeun Park, and Stephen A. Bernhardt) -- Chapter 7 Creativity and the Design of Music-Mathematics Activities in a Virtual Simulation Learning Environment (Trina Davis, Glenn Phillips, and Gerald Kulm) -- Chapter 8 Preparing Teachers to Use Excelets: Developing Creative Modeling Experiences for Secondary Mathematics Students (Ginger S. Watson and Mary C. Enderson) -- Chapter 9 Creativity in Question and Answer Digital Spaces for Mathematics Education: A Case Study of the Water Triangle for Proportional Reasoning (Benjamin Dickman) -- Part 3: New Learning Paths and Creative Teaching Approaches -- Chapter 10 Nurturing Creativity in Future Mathematics Teachers through Embracing Technology and Failure (Marina Milner-Bolotin) -- Chapter 11 Harnessing Early Spatial Learning Using Technological and Traditional Tools at Home (Joanne Lee, Ariel Ho, and Eileen Wood) -- Chapter 12 Video Game Play, Mathematics, and Spatial Skills – A Study of the Impact on Teacher Candidates (Janet Tassell, Elena Novak, and Mengjiao Wu) -- Chapter 13 Prototype Problem Solving Activities Increasing Creative Learning Opportunities Using Computer Modeling and 3D Printing (Antonia Szymanski) -- Part 4: Creativity and Advanced Mathematics -- Chapter 14 Can a Kite Be a Triangle? Aesthetics and Creative Discourse in an Interactive Geometric Environment (Hope Gerson and Paul Woo Dong Yu) -- Chapter 15 Technology and the Development of Mathematical Creativity in Advanced School Mathematics (Sergei Abramovich) -- Chapter 16 “Integrating” Creativity and Technology through Interpolation )Bharath Sriraman and Daniel Lande -- Chapter 17 Ancient School without Walls: Collective Creativity in Mathematics Village (Elçin Emre-Akdoğan and Gönül Yazgan-Sağ) -- Part 5: Learning from the Theories and Patterns of Students’ Creativity -- Chapter 18 APOS Theory: Use of Computer Programs to Foster Mental Constructions and Student’s Creativity (Draga Vidakovic, Ed Dubinsky, and Kirk Weller) -- Chapter 19 The Nature of Knowledge and Creativity in a Technological Context in Music and Mathematics: Implications in Combining Vygotsky and Piaget’s Models (Yves de Champlain, Lucie DeBlois, Xavier Robichaud, and Viktor Freiman) -- Chapter 20 Putting the Horses before the Cart: Technology, Creativity, and Authorship Harnessed Three Abreast (Osnat Fellus and Y. Biton) -- Chapter 21 Virtual Learning Communities of Problem Solvers: A Potential for Developing Creativity in Mathematics (Dominic Manuel). |
| Record Nr. | UNINA-9910299521303321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fostering Collateral Creativity in School Mathematics : Paying Attention to Students' Emerging Ideas in the Age of Technology / / Sergei Abramovich and Viktor Freiman
| Fostering Collateral Creativity in School Mathematics : Paying Attention to Students' Emerging Ideas in the Age of Technology / / Sergei Abramovich and Viktor Freiman |
| Autore | Abramovich Sergei |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (141 pages) |
| Disciplina | 510.71071 |
| Collana | Mathematics Education in the Digital Era Series |
| Soggetto topico |
Creative teaching
Mathematics - Study and teaching - Canada Mathematics - Study and teaching - United States |
| ISBN | 3-031-40639-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- References -- Contents -- 1 Theoretical Foundation and Examples of Collateral Creativity -- 1.1 Introduction -- 1.2 Theories Associated with Collateral Creativity -- 1.3 Collateral Creativity and the Instrumental Act -- 1.4 Three More Examples of Collateral Creativity -- 1.4.1 A Second Grade Example of Collateral Creativity -- 1.4.2 A Fourth Grade Example of Collateral Creativity -- 1.4.3 Collateral Creativity in a Classroom of Secondary Mathematics Teacher Candidates -- 1.5 Collateral Creativity as Problem Posing in the Zone of Proximal Development -- 1.6 Forthcoming Examples of Collateral Creativity Included in the Book -- References -- 2 From Additive Decompositions of Integers to Probability Experiments -- 2.1 Introduction -- 2.2 Artificial Creatures as a Context Inspiring Collateral Creativity -- 2.3 Iterative Nature of Questions and Investigations Supported by the Instrumental Act -- 2.4 The Joint Use of Tactile and Digital Tools Within the Instrumental Act -- 2.5 Tactile Activities as a Window to the Basic Ideas of Number Theory -- 2.6 Historical Account Connecting Decomposition of Integers to Challenges of Gambling -- References -- 3 From Number Sieves to Difference Equations -- 3.1 Introduction -- 3.2 On the Notion of a Number Sieve -- 3.3 Theoretical Value of Practical Outcome of the Instrumental Act -- 3.4 On the Equivalence of Two Approaches to Even and Odd Numbers -- 3.5 Developing New Sieves from Even and Odd Numbers -- 3.6 Polygonal Number Sieves -- 3.7 Connecting Arithmetic to Geometry Explains Mathematical Terminology -- 3.8 Polygonal Numbers and Collateral Creativity -- References -- 4 Explorations with the Sums of Digits -- 4.1 Introduction -- 4.2 About the Sums of Digits -- 4.3 Years with the Difference Nine -- 4.4 Calculating the Century Number to Which a Year Belongs.
4.5 Finding the Number of Years with the Given Sum of Digits Throughout Centuries -- 4.6 Partitioning n into Ordered Sums of Two Positive Integers -- 4.7 Interpreting the Results of Spreadsheet Modeling -- References -- 5 Collateral Creativity and Prime Numbers -- 5.1 'Low-Level' Questions Require 'High-Level' Thinking -- 5.2 Twin Primes Explorations Motivated by Activities with the Number 2021 -- 5.3 Students' Confusion as a Teaching Moment and a Source of Collateral Creativity -- 5.4 Different Definitions of a Prime Number -- 5.5 Tests of Divisibility and Collateral Creativity -- 5.6 Historically Significant Contributions to the Theory of Prime Numbers -- 5.6.1 The Sieve of Eratosthenes -- 5.6.2 Is There a Formula for Prime Numbers? -- References -- 6 From Square Tiles to Algebraic Inequalities -- 6.1 Introduction -- 6.2 Comparing Fractions Using Parts-Within-Whole Scheme -- 6.3 Collateral Creativity: Calls for Generalization -- 6.4 Collaterally Creative Question Leads to the Discovery of "Jumping Fractions" -- 6.5 Algebraic Generalization -- 6.6 Seeking New Algorithms for the Development of "Jumping Fractions" -- References -- 7 Collateral Creativity and Exploring Unsolved Problems -- 7.1 Exploring Palindromic Number Conjecture in the Middle Grades -- 7.2 The 196-Problem as a Possible Counterexample to Palindromic Number Conjecture -- 7.3 Formulation of Collatz Conjecture and Its History -- 7.4 Introducing the Rule: Initial Steps in Conjecturing -- 7.5 Deepening Investigation: Some Possible Paths Using a Spreadsheet -- 7.6 Fibonacci Numbers Emerge -- 7.7 More on the Role of a Teacher in Supporting Problem Posing by Students -- References -- 8 Egyptian Fractions: From Pragmatic Uses of Technology to Epistemic Development and Collateral Creativity -- 8.1 Introduction -- 8.2 Brief History of Egyptian Fractions. 8.3 Egyptian Fractions as a Context for Conceptualizations of Fractional Arithmetic -- 8.4 The Greedy Algorithm and Some Practice in Proving Fractional Inequalities -- 8.5 Pizza as a Context for Introducing Egyptian Fractions -- 8.6 Semi-fair Division of Pizzas -- 8.7 The Joint Use of Wolfram Alpha and a Spreadsheet -- References -- Appendix -- Part 1: Answers to Challenging Questions Introduced in the Chapters of the Book -- Part 2 (for Chap. 8): Constructing Fraction Circles Using the Geometer's Sketchpad -- Part 3: Programming of Spreadsheets. |
| Record Nr. | UNINA-9910746956203321 |
Abramovich Sergei
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| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematics and Its Connections to the Arts and Sciences (MACAS) [[electronic resource] ] : 15 Years of Interdisciplinary Mathematics Education / / edited by Claus Michelsen, Astrid Beckmann, Viktor Freiman, Uffe Thomas Jankvist, Annie Savard
| Mathematics and Its Connections to the Arts and Sciences (MACAS) [[electronic resource] ] : 15 Years of Interdisciplinary Mathematics Education / / edited by Claus Michelsen, Astrid Beckmann, Viktor Freiman, Uffe Thomas Jankvist, Annie Savard |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (VIII, 577 p. 206 illus., 144 illus. in color.) |
| Disciplina | 510.71 |
| Collana | Mathematics Education in the Digital Era |
| Soggetto topico |
Mathematics - Study and teaching
Teachers - Training of Science - Study and teaching Educational technology Art - Study and teaching Mathematics Education Teaching and Teacher Education Science Education Digital Education and Educational Technology Creativity and Arts Education Ensenyament de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-10518-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. MACAS as a Cloud Point -- Part I: Mathematics in a pedagogical context and from an educational and historical perspective -- Chapter 2. Mathematics Education in different contexts -- Chapter 3. Selected Views on Mathematics Education -- Part II: Mathematics and Subjects -- Chapter 4. Mathematics in STEM Education -- Chapter 5. Mathematics and Sciences -- Chapter 6. Mathematics, Aesthetics and Arts -- Chapter 7. Mathematics and Language and Literature -- Conclusion and Outlook. |
| Record Nr. | UNISA-996503548403316 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mathematics and Its Connections to the Arts and Sciences (MACAS) [[electronic resource] ] : 15 Years of Interdisciplinary Mathematics Education / / edited by Claus Michelsen, Astrid Beckmann, Viktor Freiman, Uffe Thomas Jankvist, Annie Savard
| Mathematics and Its Connections to the Arts and Sciences (MACAS) [[electronic resource] ] : 15 Years of Interdisciplinary Mathematics Education / / edited by Claus Michelsen, Astrid Beckmann, Viktor Freiman, Uffe Thomas Jankvist, Annie Savard |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (VIII, 577 p. 206 illus., 144 illus. in color.) |
| Disciplina | 510.71 |
| Collana | Mathematics Education in the Digital Era |
| Soggetto topico |
Mathematics - Study and teaching
Teachers - Training of Science - Study and teaching Educational technology Art - Study and teaching Mathematics Education Teaching and Teacher Education Science Education Digital Education and Educational Technology Creativity and Arts Education Ensenyament de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-10518-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. MACAS as a Cloud Point -- Part I: Mathematics in a pedagogical context and from an educational and historical perspective -- Chapter 2. Mathematics Education in different contexts -- Chapter 3. Selected Views on Mathematics Education -- Part II: Mathematics and Subjects -- Chapter 4. Mathematics in STEM Education -- Chapter 5. Mathematics and Sciences -- Chapter 6. Mathematics, Aesthetics and Arts -- Chapter 7. Mathematics and Language and Literature -- Conclusion and Outlook. |
| Record Nr. | UNINA-9910635395803321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Research On and Activities For Mathematically Gifted Students [[electronic resource] /] / by Florence Mihaela Singer, Linda Jensen Sheffield, Viktor Freiman, Matthias Brandl
| Research On and Activities For Mathematically Gifted Students [[electronic resource] /] / by Florence Mihaela Singer, Linda Jensen Sheffield, Viktor Freiman, Matthias Brandl |
| Autore | Singer Florence Mihaela |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (VII, 41 p.) |
| Disciplina | 370 |
| Collana | ICME-13 Topical Surveys |
| Soggetto topico |
Mathematics—Study and teaching
Educational psychology Education—Psychology Teaching Learning Instruction Mathematics Education Educational Psychology Teaching and Teacher Education Learning & Instruction |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-319-39450-9 |
| 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-9910160767003321 |
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Singer Florence Mihaela
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Visual mathematics and cyberlearning / / Dragana Martinovic, Viktor Freiman, Zekeriya Karadag, editors
| Visual mathematics and cyberlearning / / Dragana Martinovic, Viktor Freiman, Zekeriya Karadag, editors |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Dordrecht, : Springer, 2013 |
| Descrizione fisica | 1 online resource (255 p.) |
| Disciplina | 510.71 |
| Altri autori (Persone) |
MartinovicDragana
FreimanViktor KaradagZekeriya |
| Collana | Mathematics education in the digital era |
| Soggetto topico |
Mathematics - Study and teaching
Internet in education Mathematics - Computer-assisted instruction |
| ISBN |
1-283-94498-7
94-007-2321-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Keith Jones, Eirini Geraniou, & Thanassis Tiropanis: Patterns of collaboration: Towards learning mathematics in the era of the semantic web -- 2. Gorjan Alagic & Mara Alagic: Collaborative mathematics learning in online environments -- 3. Murat Perit Cakir & Gerry Stahl: The integration of mathematics discourse, Graphical reasoning and symbolic expression by a Virtual Math Team -- 4. Beste Güçler, Stephen Hegedus, Ryan Robidoux, & Nicholas Jackiw: Investigating the Mathematical Discourse of Young Learners Involved in Multi-Modal Mathematical Investigations: The Case of Haptic Technologies -- 5. Dragan Trninic & Dor Abrahamson: Embodied interaction as designed mediations of conceptual performance -- 6. Luis Radford: Sensuous Cognition -- 7. George Gadanidis & Immaculate Namukasa: New media and online mathematics learning for teachers -- 8. Ann LeSage: Web-based video clips: A supplemental resource for supporting pre-service elementary mathematics teachers -- 9. Dragana Martinovic, Viktor Freiman, & Zekeriya Karadag: Visual mathematics and cyberlearning in view of Affordance and Activity Theories. |
| Record Nr. | UNINA-9910438233703321 |
| Dordrecht, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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