000 04217nam a2200625 i 4500
001 22319030
003 KOHA
005 20240514160543.0
008 240403s2022 nyua 001 0 eng d
020 _a9781032020716
_q(hardback)
020 _a9781032020693
_q(paperback)
020 _z9781003181729
_q(eBook)
040 _aDLC
_beng
_erda
_cDLC
_dTR-IsMEF
041 0 _aeng
050 0 0 _aQA8.4
_b.N67 2022
100 1 _aNorton, Anderson
_eauthor.
245 1 4 _aThe psychology of mathematics :
_ba journey of personal mathematical empowerment for educators and curious minds /
_cAnderson Norton.
250 _aFirst published 2022.
264 1 _aNew York, NY :
_bRoutledge,
_c2022.
264 4 _c©2022
300 _axvii, 219 pages :
_biilustrations ;
_c24 cm.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
500 _a"To Caroline and Eleanor"
504 _aIncludes bibliographical references (pages 215-216) and index (pages 217-219).
520 0 _a"This book offers an innovative introduction to the psychological basis of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. Through accessible and engaging writing, award-winning mathematician and educator Anderson Norton reframes mathematics as something that exists first in the minds of students, rather than something that exists first in a textbook. By exploring the psychological basis for mathematics at every level - including geometry, algebra, calculus, complex analysis and more - Norton unlocks students' personal power to construct mathematical objects based on their own mental activity, and illustrates the power of mathematics in organizing the world as we know it. Including reflections and activities designed to inspire awareness of the mental actions and processes coordinated in practicing mathematics, the book is geared towards current and future secondary and elementary mathematics teachers who will empower the next generation of mathematicians and STEM majors. Those interested in the history and philosophy that underpins mathematics will also benefit from this book, as well as those informed and curious minds attentive to the human experience more generally. Anderson Norton is Professor in the Department of Mathematics at Virginia Tech, USA, where he has been teaching mathematics courses for future teachers for 15 years. He is the editor of Constructing Number, and the co-author of Developing Fractions Knowledge and Numeracy for All Learners"--
_cProvided by publisher.
650 0 _aMathematics
_xPhilosophy
650 0 _aMathematics
_xPsychological aspects
650 0 _aMathematics
_xStudy and teaching
650 0 _aKnowledge, Theory of
900 _aMEF Üniversitesi Kütüphane katalog kayıtları RDA standartlarına uygun olarak üretilmektedir / MEF University Library Catalogue Records are Produced Compatible by RDA Rules
910 _aÇağlayan Kitabevi.
942 _2lcc
_cBKS
_01
970 0 1 _aContents
970 0 1 _aList of Figures,
_pix.
970 0 1 _aList of Tables,
_pxiii.
970 0 1 _aAbout the Author,
_pxv.
970 0 1 _aAcknowledgments,
_pxvii.
970 0 1 _lIntroduction,
_aMathematical Empowerment,
_p1.
970 1 1 _lChapter 1
_tWhat Is Number?
_p9.
970 1 1 _lChapter 2
_tReflections Upon Reflections,
_p25.
970 1 1 _lChapter 3
_tGetting With the Program,
_p41.
970 1 1 _lChapter 4
_tNew Actions, New Units, New Numbers,
_p59.
970 1 1 _lChapter 5
_tCreating, Transforming, and Obliterating Area,
_p77.
970 1 1 _lChapter 6
_tThe Power of Symbols,
_p93.
970 1 1 _lChapter 7
_tSeeing Angles From a Different Angle,
_p109.
970 1 1 _lChapter 8
_tThe Geometry of Numbers,
_p123.
970 1 1 _lChapter 9
_tWhat Doesn't Vary as Variables Covary?,
_p143.
970 1 1 _lChapter 10
_tWhat's So Special About Special Triangles?
_p161.
970 1 1 _lChapter 11
_tCalculus the Old-Fashioned Way,
_p183.
970 1 1 _lChapter 12
_tThe Wonderful Gift of Mathematics,
_p201.
970 0 1 _aIndex,
_p217.
999 _c37059
_d37059