From counting to computing : ideas for mathematics education in information age
From Counting to Computing demonstrates the powerful integration of formal mathematical reasoning, hands-on educational experiments, and digital computation to solve problems. It focuses on numeric tables shaped as squares, equilateral and isosceles triangles, offering ample opportunities for algebr...
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| Main Author | |
|---|---|
| Format | Electronic eBook |
| Language | English |
| Published |
Bingley, U.K. :
Emerald Publishing Limited,
2025.
|
| Subjects | |
| Online Access | Full text |
| ISBN | 9781837089000 |
| DOI | 10.1108/978-1-83708-898-0 |
| Physical Description | 1 online resource (276 pages) |
Cover
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| 020 | |a 9781837089000 |q (e-book) | ||
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| 080 | |a 510 | ||
| 082 | 0 | 4 | |a 510.71 |2 23 |
| 100 | 1 | |a Abramovich, Sergei, |e author. | |
| 245 | 1 | 0 | |a From counting to computing : |b ideas for mathematics education in information age / |c Sergei Abramovich. |
| 264 | 1 | |a Bingley, U.K. : |b Emerald Publishing Limited, |c 2025. | |
| 264 | 4 | |c ©2025 | |
| 300 | |a 1 online resource (276 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 500 | |a Includes index. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Chapter 1. From concepts to conceptual shortcuts to the use of technology -- Chapter 2. Exploring the addition and the multiplication tables -- Chapter 3. Exploring equilateral triangles filled with integers -- Chapter 4. Exploring isosceles triangles filled with integers -- Chapter 5. Exploring squares filled with integers -- Chapter 6. Pascal's triangle as a bridge from combinatorics to probability -- Chapter 7. From pascal's triangle to fibonacci-like polynomials -- Chapter 8. Problems motivated by digital computing. | |
| 506 | |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty | ||
| 520 | |a From Counting to Computing demonstrates the powerful integration of formal mathematical reasoning, hands-on educational experiments, and digital computation to solve problems. It focuses on numeric tables shaped as squares, equilateral and isosceles triangles, offering ample opportunities for algebraic generalization in the digital age. Activities are grounded in addition and multiplication tables, polygonal numbers, and Pascal's triangle. Based on the idea that counting objects arranged in geometric shapes leads to the development of numeric patterns, this book extends this concept to digital computing. Using technology-immune/technology-enabled didactical framework, it blends formal reasoning with digital computation in problem solving and provides a conceptual shortcut to achieving mathematically significant computational outcomes. From Counting to Computing covers classic topics from arithmetic, number theory, combinatorics, and probability theory. Many historical and cultural origins of mathematical concepts are highlighted, featuring figures like Pythagoras, Aristotle, Heron of Alexandria, Theon, Fibonacci, Gersonides, Pacioli, Cardano, Galilei, Kepler, Descartes, Fermat, Pascal, Spinoza, Leibniz, Jacob Bernoulli, Binet, de Moivre, Lamé, and Lucas. The final chapter includes problems on the proof of divisibility of integer variable polynomials, motivated by digital computations. Ideal for mathematics teacher education programs and discrete mathematics courses, this book showcases the use of simple algorithms and tools like spreadsheets, Wolfram Alpha, Maple, and Graphing Calculator to achieve sophisticated computational results. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Mathematics |x Study and teaching. | |
| 650 | 7 | |a Education |x Teaching |x Subjects |x Mathematics. |2 bisacsh | |
| 650 | 7 | |a Teaching of a specific subject. |2 thema | |
| 650 | 7 | |a Teaching of reading, writing and numeracy. |2 thema | |
| 650 | 7 | |a Educational: Mathematics and numeracy. |2 thema | |
| 655 | 7 | |a elektronické knihy |7 fd186907 |2 czenas | |
| 655 | 9 | |a electronic books |2 eczenas | |
| 776 | 0 | 8 | |i Print version: |z 9781837088997, 9781837089017 |
| 776 | 0 | 8 | |i PDF version: |z 9781837088980 |
| 856 | 4 | 0 | |u https://proxy.k.utb.cz/login?url=https://doi.org/10.1108/978-1-83708-898-0 |