國立高雄大學圖資館 |

Language: English

Back

Connecting mathematics and mathemati...

SpringerLink (Online service)

Connecting mathematics and mathematics educationcollected papers on mathematics education as a design science /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Connecting mathematics and mathematics educationby Erich Christian Wittmann.
Reminder of title:	collected papers on mathematics education as a design science /
Author:	Wittmann, Erich Christian.
Published:	Cham :Springer International Publishing :2021.
Description:	xx, 318 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	MathematicsStudy and teaching.
Online resource:	https://doi.org/10.1007/978-3-030-61570-3
ISBN:	9783030615703$q(electronic bk.)

Connecting mathematics and mathematics educationcollected papers on mathematics education as a design science /
Wittmann, Erich Christian.

Connecting mathematics and mathematics educationcollected papers on mathematics education as a design science /[electronic resource] :by Erich Christian Wittmann. - Cham :Springer International Publishing :2021. - xx, 318 p. :ill., digital ;24 cm.

Open access.

This Open Access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the "design science conception" has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.

ISBN: 9783030615703$q(electronic bk.)

Standard No.: 10.1007/978-3-030-61570-3doiSubjects--Topical Terms:

189978
Mathematics
--Study and teaching.

LC Class. No.: QA12

Dewey Class. No.: 510.71

Connecting mathematics and mathematics educationcollected papers on mathematics education as a design science /
LDR:02856nmm a2200337 a 4500 001 596364
003 DE-He213
005 20201209180356.0
006 m d
007 cr nn 008maaau
008 211013s2021 sz s 0 eng d
020 $a 9783030615703$q(electronic bk.)
020 $a 9783030615697$q(paper)
024 7 $a 10.1007/978-3-030-61570-3 $2 doi
035 $a 978-3-030-61570-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA12
072 7 $a JNU $2 bicssc
072 7 $a EDU029010 $2 bisacsh
072 7 $a JNU $2 thema
072 7 $a PB $2 thema
082 0 4 $a 510.71 $2 23
090 $a QA12 $b .W832 2021
100 1 $a Wittmann, Erich Christian. $3 889126
245 1 0 $a Connecting mathematics and mathematics education $h [electronic resource] : $b collected papers on mathematics education as a design science / $c by Erich Christian Wittmann.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xx, 318 p. : $b ill., digital ; $c 24 cm.
506 $a Open access.
520 $a This Open Access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the "design science conception" has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.
650 0 $a Mathematics $x Study and teaching. $3 189978
650 0 $a Teaching. $3 179798
650 0 $a Education $x Curricula. $3 291969
650 1 4 $a Mathematics Education. $3 274700
650 2 4 $a Teaching and Teacher Education. $3 338703
650 2 4 $a Curriculum Studies. $3 274574
650 2 4 $a Mathematics, general. $3 274849
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-61570-3
950 $a Education (SpringerNature-41171)