The King and Prisoner Puzzle: A Way of Introducing the Components of Logical Structures

Kyeong Roh, Yong Hah Lee, Austin Tanner

Research output: Contribution to journalArticle

Abstract

The purpose of this paper is to provide issues related to student understanding of logical components that arise when solving word problems. We designed a logic problem called the King and Prisoner Puzzle - a linguistically simple, yet logically challenging problem. In this paper, we describe various student solutions to the puzzle and discuss the issues with students’ logic. In particular, it is thought-provoking that invalid arguments in students’ solutions to the puzzle are based on a lack of precise understanding of some basic logical components. This emphasizes the necessity of additional teaching to form mutual understanding of the meaning of the logical components.

Original languageEnglish (US)
Pages (from-to)1-13
Number of pages13
JournalPRIMUS
DOIs
StateAccepted/In press - May 16 2016

Fingerprint

prisoner
Logic
Word problem
student
lack
Teaching

Keywords

  • conditional and its converse
  • logical component
  • meaning of “a” in “there is a … ”
  • negation of a statement
  • Teaching and learning of logic

ASJC Scopus subject areas

  • Mathematics(all)
  • Education

Cite this

The King and Prisoner Puzzle : A Way of Introducing the Components of Logical Structures. / Roh, Kyeong; Lee, Yong Hah; Tanner, Austin.

In: PRIMUS, 16.05.2016, p. 1-13.

Research output: Contribution to journalArticle

@article{5ebfdc35aeff446dbe4d37d9f67a0159,
title = "The King and Prisoner Puzzle: A Way of Introducing the Components of Logical Structures",
abstract = "The purpose of this paper is to provide issues related to student understanding of logical components that arise when solving word problems. We designed a logic problem called the King and Prisoner Puzzle - a linguistically simple, yet logically challenging problem. In this paper, we describe various student solutions to the puzzle and discuss the issues with students’ logic. In particular, it is thought-provoking that invalid arguments in students’ solutions to the puzzle are based on a lack of precise understanding of some basic logical components. This emphasizes the necessity of additional teaching to form mutual understanding of the meaning of the logical components.",
keywords = "conditional and its converse, logical component, meaning of “a” in “there is a … ”, negation of a statement, Teaching and learning of logic",
author = "Kyeong Roh and Lee, {Yong Hah} and Austin Tanner",
year = "2016",
month = "5",
day = "16",
doi = "10.1080/10511970.2015.1107159",
language = "English (US)",
pages = "1--13",
journal = "PRIMUS",
issn = "1051-1970",
publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - The King and Prisoner Puzzle

T2 - A Way of Introducing the Components of Logical Structures

AU - Roh, Kyeong

AU - Lee, Yong Hah

AU - Tanner, Austin

PY - 2016/5/16

Y1 - 2016/5/16

N2 - The purpose of this paper is to provide issues related to student understanding of logical components that arise when solving word problems. We designed a logic problem called the King and Prisoner Puzzle - a linguistically simple, yet logically challenging problem. In this paper, we describe various student solutions to the puzzle and discuss the issues with students’ logic. In particular, it is thought-provoking that invalid arguments in students’ solutions to the puzzle are based on a lack of precise understanding of some basic logical components. This emphasizes the necessity of additional teaching to form mutual understanding of the meaning of the logical components.

AB - The purpose of this paper is to provide issues related to student understanding of logical components that arise when solving word problems. We designed a logic problem called the King and Prisoner Puzzle - a linguistically simple, yet logically challenging problem. In this paper, we describe various student solutions to the puzzle and discuss the issues with students’ logic. In particular, it is thought-provoking that invalid arguments in students’ solutions to the puzzle are based on a lack of precise understanding of some basic logical components. This emphasizes the necessity of additional teaching to form mutual understanding of the meaning of the logical components.

KW - conditional and its converse

KW - logical component

KW - meaning of “a” in “there is a … ”

KW - negation of a statement

KW - Teaching and learning of logic

UR - http://www.scopus.com/inward/record.url?scp=84969722220&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84969722220&partnerID=8YFLogxK

U2 - 10.1080/10511970.2015.1107159

DO - 10.1080/10511970.2015.1107159

M3 - Article

AN - SCOPUS:84969722220

SP - 1

EP - 13

JO - PRIMUS

JF - PRIMUS

SN - 1051-1970

ER -