000			03525nam a22004695i 4500
001			978-0-387-71164-5
003			DE-He213
005			20250710084012.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387711645 _a99780387711645
024	7		_a10.1007/978-0-387-71164-5 _2doi
082	0	4	_a370 _223
100	1		_aBock, Dirk De. _eauthor.
245	1	4	_aThe Illusion Of Linearity _h[recurso electrónico] : _bFrom Analysis to Improvement / _cby Dirk De Bock, Wim Van Dooren, Dirk Janssens, Lieven Verschaffel.
264		1	_aBoston, MA : _bSpringer US, _c2007.
300			_aXIV, 186 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMathematics Education Library ; _v41
505	0		_aA Widespread Phenomenon -- In Search Of Empirical Evidence -- Searching For Explanations: A Series Of Follow-Up Studies -- An In-Depth Investigation -- A Teaching Experiment -- Stepping Outside The Classroom -- Psychological And Educational Analysis.
520			_aLinear or proportional relationships are a major topic in mathematics education. However, recent research has shown that secondary school students have a strong tendency to apply the linear model also in situations wherein it is not applicable. This overgeneralization of linearity is sometimes referred to as the "illusion of linearity" and has a strong negative impact on students' reasoning and problem solving skills. "The Illusion of Linearity: From Analysis to Improvement" presents the reader with a comprehensive overview of the major findings of the recent research on the illusion of linearity. Although the empirical study of students' improper linear reasoning clearly constitutes a new line of research, it owes a great deal to prior work in mathematics education research community such as the work of the scholars of the Freudenthal Institute on realistic mathematics education. Based on both quantitative and qualitative research, "The Illusion of Linearity: From Analysis to Improvement" discusses the following issues: (1) how the illusion of linearity appears in diverse domains of mathematics and science and how it is conceptually related to other more general misconceptions identified in the research literature, (2) what are the crucial psychological, mathematical, and educational factors being responsible for the occurrence and persistence of the phenomenon, and (3) how the illusion of linearity can be remedied by appropriate instruction. "The Illusion of Linearity: From Analysis to Improvement" is essential to those working in mathematics education, particularly teacher educators and curriculum research and development.
650		0	_aEDUCATION.
650		0	_aMATHEMATICS.
650		0	_aTEACHERS _xTRAINING OF.
650	1	4	_aEDUCATION.
650	2	4	_aMATHEMATICS EDUCATION.
650	2	4	_aTEACHER EDUCATION.
700	1		_aDooren, Wim Van. _eauthor.
700	1		_aJanssens, Dirk. _eauthor.
700	1		_aVerschaffel, Lieven. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387710822
830		0	_aMathematics Education Library ; _v41
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-71164-5 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SHU
942			_2ddc _cER
999			_c58214 _d58214