TY  - BOOK
AU  - Borovik, Alexandre
AU  - Gardiner, Tony
AB  - "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."
DO  - 10.11647/OBP.0168
ID  - OAPEN ID: 1005117
ID  - OAPEN ID: OCN: 1107450146
KW  - Mathematics
KW  - Elementary Problems
KW  - make sense of the world
KW  - mathematics beyond the classroom
KW  - Mental Skills
KW  - Arithmetic
KW  - Word Problems
KW  - Algebra
KW  - Geometry
KW  - Infinity
L1  - https://library.oapen.org/bitstream/id/9cdeab43-c9b4-413e-89e2-6e87a13c1a50/9781783747016.pdf
LA  - English
LK  - http://library.oapen.org/handle/20.500.12657/24985
PB  - Open Book Publishers
PY  - 2019
SN  - 9781783746996
TI  - The Essence of Mathematics Through Elementary Problemsnull
ER  - 
