000 05089nam a22005295i 4500
999 _c97813
_d97813
001 978-3-319-70308-4
003 DE-He213
005 20191024125415.0
007 cr nn 008mamaa
008 171211s2018 gw | s |||| 0|eng d
020 _a9783319703084
024 7 _a10.1007/978-3-319-70308-4
_2doi
040 _cМУБИС
050 4 _aLC8-6691
072 7 _aJNU
_2bicssc
072 7 _aEDU029010
_2bisacsh
072 7 _aJNU
_2thema
072 7 _aPB
_2thema
082 0 4 _a370
_223
245 1 0 _aTeaching and Learning Discrete Mathematics Worldwide: Curriculum and Research
_h[electronic resource] /
_cedited by Eric W. Hart, James Sandefur.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aXII, 276 p. 84 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aICME-13 Monographs,
_x2520-8322
505 0 _aPart I:  The Landscape of Discrete Mathematics in the School Curriculum -- Discrete Mathematics is Essential Mathematics in a 21st Century School Curriculum (and introduction to this volume) -- The Absence of Discrete Mathematics from Primary and Secondary Education in the United States  and Why that is Counterproductive -- Discrete Mathematics in Lower School Grades? Situation and Possibilities in Italy -- Discrete Mathematics and the Affective Dimension of Mathematical Learning and Engagement -- Part II: Combinatorics and Combinatorial Reasoning -- Combinatorial Reasoning to Solve Problems -- Children’s Combinatorial Counting Strategies and their Relationship to Mathematical Counting Principles -- Reinforcing Mathematical Concepts and Developing Mathematical Practices through Combinatorial Activity -- Complex Mathematics Education in the 21st Century: Improving Combinatorial Thinking based on Tamás Varga's Heritage and Recent Research Results -- Part III: Recursion and Recursive Thinking -- Discrete Dynamical Systems: A Pathway for Students to Become Enchanted with Mathematics -- How Recursion Supports Algebraic Understanding -- Part IV: Networks and Graphs -- Food Webs, Competition Graphs, and a 60-year-old Unsolved Problem -- Graph Theory in Primary, Middle and High School -- Part V: Fair Decision-Making and Game Theory -- Fairness -- Mathematical Research in the Classroom via Combinatorial Games -- Machines designed to play Nim games (1940-1970): A possible (re)use in the modern French mathematics curriculum? -- Part VI: Logic and Proof -- Mathematics and Logic: Their Relationship in the Teaching of Mathematics.
520 _aThis book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics.  Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.
650 0 _aMathematics.
650 0 _aCurriculum planning.
650 1 4 _aMathematics Education.
_0http://scigraph.springernature.com/things/product-market-codes/O25000
650 2 4 _aLearning & Instruction.
_0http://scigraph.springernature.com/things/product-market-codes/O22000
650 2 4 _aTeaching and Teacher Education.
_0http://scigraph.springernature.com/things/product-market-codes/O31000
650 2 4 _aCurriculum Studies.
_0http://scigraph.springernature.com/things/product-market-codes/O15000
650 2 4 _aDiscrete Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M29000
700 1 _aHart, Eric W.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSandefur, James.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
776 0 8 _iPrinted edition:
_z9783319703077
776 0 8 _iPrinted edition:
_z9783319703091
776 0 8 _iPrinted edition:
_z9783319889214
830 0 _aICME-13 Monographs,
_x2520-8322
856 4 0 _uhttps://doi.org/10.1007/978-3-319-70308-4
_yElectronic version-Цахим хувилбар
942 _2ddc
_cEBOOK