東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Connecting mathematics and mathemati...

Wittmann, Erich Christian.

Linked to FindBook

Google Book

Amazon

博客來

Connecting mathematics and mathematics education = collected papers on mathematics education as a design science /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Connecting mathematics and mathematics education/ by 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:	Mathematics - Study and teaching. -
Online resource:	https://doi.org/10.1007/978-3-030-61570-3
ISBN:	9783030615703

Connecting mathematics and mathematics education = collected 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

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

523932
Mathematics
--Study and teaching.

LC Class. No.: QA12

Dewey Class. No.: 510.71

Connecting mathematics and mathematics education = collected papers on mathematics education as a design science /
LDR:02856nmm a2200337 a 4500 001 2236824
003 DE-He213
005 20201209180356.0
006 m d
007 cr nn 008maaau
008 211111s2021 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 3488534
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 523932
650 0 $a Teaching. $3 517098
650 0 $a Education $x Curricula. $3 529295
650 1 4 $a Mathematics Education. $3 637497
650 2 4 $a Teaching and Teacher Education. $3 1001835
650 2 4 $a Curriculum Studies. $3 895988
650 2 4 $a Mathematics, general. $3 895821
710 2 $a SpringerLink (Online service) $3 836513
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)