Playing with Wigner’s swallow, Baxter’s Dog and infinite series

M McCartney

doi:10.1080/0020739X.2021.1986643

Playing with Wigner’s swallow, Baxter’s Dog and infinite series

M McCartney

Research output: Contribution to journal › Comment/debate › peer-review

40 Downloads (Pure)

Abstract

A well-known puzzle involving the repeated flying of a swallow between two cyclists is extended to investigate the effect of nonuniform speeds. The resulting generalizations provide examples that can be used in the context of the teaching aspects of the manipulation of infinite series, including the use of telescoping sums and products.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	International Journal of Mathematical Education in Science and Technology
Early online date	18 Oct 2021
DOIs	https://doi.org/10.1080/0020739X.2021.1986643
Publication status	Published online - 18 Oct 2021

Bibliographical note

Publisher Copyright:
© 2021 Informa UK Limited, trading as Taylor & Francis Group.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 4 Quality Education

Keywords

Recreational mathematics
infinite series
kinematics

Access to Document

10.1080/0020739X.2021.1986643

wigners-swallow-post-refereeAuthor Accepted Manuscript, 358 KBLicence: CC BY-NC

Cite this

@article{55a1e8ec57904a21b417542d9f31faf4,

title = "Playing with Wigner{\textquoteright}s swallow, Baxter{\textquoteright}s Dog and infinite series",

abstract = "A well-known puzzle involving the repeated flying of a swallow between two cyclists is extended to investigate the effect of nonuniform speeds. The resulting generalizations provide examples that can be used in the context of the teaching aspects of the manipulation of infinite series, including the use of telescoping sums and products.",

keywords = "Recreational mathematics, infinite series, kinematics",

author = "M McCartney",

note = "Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2021",

month = oct,

day = "18",

doi = "10.1080/0020739X.2021.1986643",

language = "English",

pages = "1--9",

journal = "International Journal of Mathematical Education in Science and Technology",

issn = "0020-739X",

publisher = "Taylor \& Francis",

}

TY - JOUR

T1 - Playing with Wigner’s swallow, Baxter’s Dog and infinite series

AU - McCartney, M

PY - 2021/10/18

Y1 - 2021/10/18

N2 - A well-known puzzle involving the repeated flying of a swallow between two cyclists is extended to investigate the effect of nonuniform speeds. The resulting generalizations provide examples that can be used in the context of the teaching aspects of the manipulation of infinite series, including the use of telescoping sums and products.

AB - A well-known puzzle involving the repeated flying of a swallow between two cyclists is extended to investigate the effect of nonuniform speeds. The resulting generalizations provide examples that can be used in the context of the teaching aspects of the manipulation of infinite series, including the use of telescoping sums and products.

KW - Recreational mathematics

KW - infinite series

KW - kinematics

UR - https://www.scopus.com/pages/publications/85117268429

U2 - 10.1080/0020739X.2021.1986643

DO - 10.1080/0020739X.2021.1986643

M3 - Comment/debate

SN - 0020-739X

SP - 1

EP - 9

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

ER -

Playing with Wigner’s swallow, Baxter’s Dog and infinite series

Abstract

Bibliographical note

UN SDGs

Keywords

Access to Document

Other files and links

Fingerprint

Cite this