The Essence of Mathematics Through Elementary Problems
"It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, pa...
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| Main Authors: | , |
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| 格式: | Online |
| 語言: | 英语 |
| 出版: |
Open Book Publishers
2021
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| 主題: | |
| 在線閱讀: | 1005117 |
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| _version_ | 1869530690252439552 |
|---|---|
| author | Borovik, Alexandre Gardiner, Tony |
| author_browse | Borovik, Alexandre Gardiner, Tony |
| author_facet | Borovik, Alexandre Gardiner, Tony |
| author_sort | Borovik, Alexandre |
| collection | Directory of Open Access Books |
| description | "It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside.
The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline.
The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works." |
| format | Online |
| id | doab-20.500.12854ir-37505 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Open Book Publishers |
| publisherStr | Open Book Publishers |
| record_format | ojs |
| spelling | doab-20.500.12854ir-375052025-01-30T11:44:56Z The Essence of Mathematics Through Elementary Problems Borovik, Alexandre Gardiner, Tony Mathematics Elementary Problems make sense of the world mathematics beyond the classroom Mental Skills Arithmetic Word Problems Algebra Geometry Infinity thema EDItEUR::P Mathematics and Science "It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works." 2021-02-10T12:58:18Z 2019-06-26 12:11:01 2020-04-01T10:16:08Z 2019 book 1005117 OCN: 1107450146 2397-1126/2397-1134;2397-1126/2397-1126 http://library.oapen.org/handle/20.500.12657/24985 9781783746996 https://directory.doabooks.org/handle/20.500.12854/37505 eng OBP Series in Mathematics open access image/jpeg image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/24985/1/9781783747016.pdf https://library.oapen.org/bitstream/20.500.12657/24985/1/9781783747016.pdf https://library.oapen.org/bitstream/20.500.12657/24985/1/9781783747016.pdf https://library.oapen.org/bitstream/20.500.12657/24985/1/9781783747016.pdf https://library.oapen.org/bitstream/20.500.12657/24985/1/9781783747016.pdf Open Book Publishers 10.11647/OBP.0168 10.11647/OBP.0168 b014b543-78bd-4c3b-bc71-b68e2ac855b9 9781783746996 ScholarLed 389 open access |
| spellingShingle | Mathematics Elementary Problems make sense of the world mathematics beyond the classroom Mental Skills Arithmetic Word Problems Algebra Geometry Infinity thema EDItEUR::P Mathematics and Science Borovik, Alexandre Gardiner, Tony The Essence of Mathematics Through Elementary Problems |
| title | The Essence of Mathematics Through Elementary Problems |
| title_full | The Essence of Mathematics Through Elementary Problems |
| title_fullStr | The Essence of Mathematics Through Elementary Problems |
| title_full_unstemmed | The Essence of Mathematics Through Elementary Problems |
| title_short | The Essence of Mathematics Through Elementary Problems |
| title_sort | essence of mathematics through elementary problems |
| topic | Mathematics Elementary Problems make sense of the world mathematics beyond the classroom Mental Skills Arithmetic Word Problems Algebra Geometry Infinity thema EDItEUR::P Mathematics and Science |
| topic_facet | Mathematics Elementary Problems make sense of the world mathematics beyond the classroom Mental Skills Arithmetic Word Problems Algebra Geometry Infinity thema EDItEUR::P Mathematics and Science |
| url | 1005117 |
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