MATHEMATICAL PROBABILITY: LEARNER'S MISCONCEPTION IN A SELECTED SOUTH AFRICAN SCHOOL

Winston Hendricks, B. Olawale
{"title":"MATHEMATICAL PROBABILITY: LEARNER'S MISCONCEPTION IN A SELECTED SOUTH AFRICAN SCHOOL","authors":"Winston Hendricks, B. Olawale","doi":"10.22460/infinity.v12i1.p165-178","DOIUrl":null,"url":null,"abstract":"Mathematics plays an essential role in developing human thought, particularly in developing problem-solving and reasoning. While mathematics has become a problem-solving tool in various fields, including science, it has distinct qualities known as probability and, more specifically, probability theory. For most learners, the probability is difficult to learn and conceptualize. Hence, the present study investigates learners’ misconceptions in the teaching and learning of probability in a selected school in the Eastern Cape Province, South Africa. Underpinned by a Post-positivist paradigm, the study employed a quantitative research approach and a survey design in which data were gathered from mathematics learners from grades 10-12. Findings revealed that although the frequency of misconceptions varied across grade levels, it was difficult to describe how misconceptions about probability changed. As such, while learners progressed through the grades, some misconceptions faded with age, others remained stable, and others grew in power. The findings also revealed that the types of probability misconceptions did not differ significantly by gender, and male learners tend to have more misconceptions about probability than female learners.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Infinity Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22460/infinity.v12i1.p165-178","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

Mathematics plays an essential role in developing human thought, particularly in developing problem-solving and reasoning. While mathematics has become a problem-solving tool in various fields, including science, it has distinct qualities known as probability and, more specifically, probability theory. For most learners, the probability is difficult to learn and conceptualize. Hence, the present study investigates learners’ misconceptions in the teaching and learning of probability in a selected school in the Eastern Cape Province, South Africa. Underpinned by a Post-positivist paradigm, the study employed a quantitative research approach and a survey design in which data were gathered from mathematics learners from grades 10-12. Findings revealed that although the frequency of misconceptions varied across grade levels, it was difficult to describe how misconceptions about probability changed. As such, while learners progressed through the grades, some misconceptions faded with age, others remained stable, and others grew in power. The findings also revealed that the types of probability misconceptions did not differ significantly by gender, and male learners tend to have more misconceptions about probability than female learners.
数学概率:一所选定的南非学校中学习者的误解
数学在发展人类思维方面起着至关重要的作用,特别是在发展解决问题和推理方面。虽然数学已经成为包括科学在内的各个领域解决问题的工具,但它具有被称为概率的独特品质,更具体地说,是概率论。对于大多数学习者来说,概率是难以学习和概念化的。因此,本研究在南非东开普省的一所学校调查了学生在概率教学中的误解。该研究以后实证主义范式为基础,采用定量研究方法和调查设计,从10-12年级的数学学习者中收集数据。调查结果显示,尽管误解的频率在不同年级有所不同,但很难描述关于概率的误解是如何变化的。因此,当学习者在年级中进步时,一些误解随着年龄的增长而消失,另一些则保持稳定,而另一些则越来越强大。研究结果还显示,概率误解的类型在性别上没有显著差异,男性学习者比女性学习者更容易对概率产生误解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信