The explanatory power of examples in mathematics: Challenges for teaching

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

I use the term "instructional example", to refer to an example offered by a teacher within the context of learning a particular topic. The important role of instructional examples in learning mathematics stems firstly from the central role that examples play in mathematics and mathematical thinking. Examples are an integral part of mathematics and a significant element of expert knowledge. In particular, examples are essential for generalization, abstraction, and analogical reasoning. Furthermore, from a teaching perspective, there are several pedagogical aspects of the use of instructional examples that highlight the significance and convey the complexity of this central element of teaching.

Original languageEnglish (US)
Title of host publicationInstructional Explanations in the Disciplines
PublisherSpringer US
Pages107-128
Number of pages22
ISBN (Print)9781441905932
DOIs
StatePublished - 2010

Fingerprint

mathematics
Teaching
expert knowledge
Mathematics
Explanatory Power
abstraction
learning
teacher
Expert Knowledge
Analogical Reasoning

ASJC Scopus subject areas

  • Social Sciences(all)
  • Arts and Humanities(all)

Cite this

Zaslavsky, O. (2010). The explanatory power of examples in mathematics: Challenges for teaching. In Instructional Explanations in the Disciplines (pp. 107-128). Springer US. https://doi.org/10.1007/978-1-4419-0594-9_8

The explanatory power of examples in mathematics : Challenges for teaching. / Zaslavsky, Orit.

Instructional Explanations in the Disciplines. Springer US, 2010. p. 107-128.

Research output: Chapter in Book/Report/Conference proceedingChapter

Zaslavsky, Orit. / The explanatory power of examples in mathematics : Challenges for teaching. Instructional Explanations in the Disciplines. Springer US, 2010. pp. 107-128
@inbook{717e00b08f7341deb3d2ed06309aeb94,
title = "The explanatory power of examples in mathematics: Challenges for teaching",
abstract = "I use the term {"}instructional example{"}, to refer to an example offered by a teacher within the context of learning a particular topic. The important role of instructional examples in learning mathematics stems firstly from the central role that examples play in mathematics and mathematical thinking. Examples are an integral part of mathematics and a significant element of expert knowledge. In particular, examples are essential for generalization, abstraction, and analogical reasoning. Furthermore, from a teaching perspective, there are several pedagogical aspects of the use of instructional examples that highlight the significance and convey the complexity of this central element of teaching.",
author = "Orit Zaslavsky",
year = "2010",
doi = "10.1007/978-1-4419-0594-9_8",
language = "English (US)",
isbn = "9781441905932",
pages = "107--128",
booktitle = "Instructional Explanations in the Disciplines",
publisher = "Springer US",

}

TY - CHAP

T1 - The explanatory power of examples in mathematics

T2 - Challenges for teaching

AU - Zaslavsky, Orit

PY - 2010

Y1 - 2010

N2 - I use the term "instructional example", to refer to an example offered by a teacher within the context of learning a particular topic. The important role of instructional examples in learning mathematics stems firstly from the central role that examples play in mathematics and mathematical thinking. Examples are an integral part of mathematics and a significant element of expert knowledge. In particular, examples are essential for generalization, abstraction, and analogical reasoning. Furthermore, from a teaching perspective, there are several pedagogical aspects of the use of instructional examples that highlight the significance and convey the complexity of this central element of teaching.

AB - I use the term "instructional example", to refer to an example offered by a teacher within the context of learning a particular topic. The important role of instructional examples in learning mathematics stems firstly from the central role that examples play in mathematics and mathematical thinking. Examples are an integral part of mathematics and a significant element of expert knowledge. In particular, examples are essential for generalization, abstraction, and analogical reasoning. Furthermore, from a teaching perspective, there are several pedagogical aspects of the use of instructional examples that highlight the significance and convey the complexity of this central element of teaching.

UR - http://www.scopus.com/inward/record.url?scp=78651238118&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78651238118&partnerID=8YFLogxK

U2 - 10.1007/978-1-4419-0594-9_8

DO - 10.1007/978-1-4419-0594-9_8

M3 - Chapter

SN - 9781441905932

SP - 107

EP - 128

BT - Instructional Explanations in the Disciplines

PB - Springer US

ER -