000			04931nam a22004815i 4500
999			_c97848 _d97848
001			978-3-319-68351-5
003			DE-He213
005			20191024124004.0
007			cr nn 008mamaa
008			171204s2018 gw | s |||| 0|eng d
020			_a9783319683515
024	7		_a10.1007/978-3-319-68351-5 _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 Algebraic Thinking with 5- to 12-Year-Olds _h[electronic resource] : _bThe Global Evolution of an Emerging Field of Research and Practice / _cedited by Carolyn Kieran.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2018.
300			_aXIII, 443 p. 139 illus., 9 illus. in color. _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		_aIntroduction -- Part I Theoretical Perspectives for Developing Early Algebraic Thinking -- The Emergence of Symbolic Algebraic Thinking in Primary School -- 2 Implementing a Framework for Early Algebra -- 3 New Words and Concepts for Early Algebra Teaching: Sharing with Teachers Epistemological Issues in Early Algebra to Develop Students’ Early Algebraic Thinking -- 4 Seeking, Using, and Expressing Structure in Numbers and Numerical Operations: A Fundamental Path to Developing Early Algebraic Thinking -- 5 Cultivating Early Algebraic Thinking -- Part II Learning to Think Algebraically in Primary and Lower Middle School -- 6 Characteristics of Korean Students’ Early Algebraic Thinking: A Generalized Arithmetic Perspective -- 7 Function Tasks, Input, Output, and The Predictive Rule: How some Singapore Primary Children Construct the Rule -- 8 Algebraic Understanding of Equalities in Primary Classes -- 9 Observations of Structure within Shape Patterns -- 10 Generalizing Fractional Structures: A Critical Precursor To Algebraic Thinking -- 11 First Encounter with Variables by First and Third Grade Spanish Students -- Part III Teaching for the Development of Early Algebraic Thinking -- 12 Making Implicit Algebraic Thinking Explicit: Exploiting National Characteristics of German Approaches -- 13 Early Algebra as Analysis of Structure: A Focus on Operations -- 14 How Early Is too Early for Thinking Algebraically? -- 15 Cycles of Generalizing Activities in the Classroom -- 16 Scaffolding Teacher Practice to Develop Early Algebraic Reasoning -- 17 Preservice Teachers’ Knowledge to Teach Functional Thinking -- Conclusions and Looking Ahead.
520			_aThis book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.
650		0	_aMathematics.
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
700	1		_aKieran, Carolyn. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt
710	2		_aSpringerLink (Online service)
776	0	8	_iPrinted edition: _z9783319683508
776	0	8	_iPrinted edition: _z9783319683522
776	0	8	_iPrinted edition: _z9783319885865
830		0	_aICME-13 Monographs, _x2520-8322
856	4	0	_uhttps://doi.org/10.1007/978-3-319-68351-5 _yElectronic version-Цахим хувилбар
942			_2ddc _cEBOOK