南非茨瓦内 11 年级学生在真实世界足球背景下提出数学和数学素养问题的能力

James Sibanda
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摘要

在数学课堂上,学习者经常会遇到需要他们解决问题的活动。提出問題是其中一種教學策略,可讓學習者從熟悉或日常的情境中領悟數學概念。然而,儘管提出問題作為一種教與學的策略,具有提升數學學習的潛力, 但卻未被充分運用。本文探讨了十一年级学生如何从 2010 年国际足联世界杯足球赛中提出数学和数学素养问题,并确定了学生提出的问题在多大程度上反映了特定的足球情境。这项研究涉及 42 名参与者,其中包括来自南非茨瓦内 Soshanguve 镇一所高中的 22 名数学和 20 名数学素养学习者。参与者是通过有目的的抽样选出的。数据是通过一项书面任务收集的,在这项任务中,学习者被赋予了一个从 2010 年国际足联世界杯足球赛报告中摘录的情景。定性研究结果表明,学习者一般都能根据所提供的真实足球情境提出或拟定问题。分析表明:(a) 与数学素养学习者相比,数学学习者提出的问题含有更多的数学术语;(b) 与数学学习者相比,数学素养学习者提出的问题更符合对比赛的分析。我们认为,学习者对任务的反应与他们在数学和数学素养话语中的社会化方式是一致的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Grade 11 Learners' Ability to Formulate Mathematics and Mathematical Literacy Questions within a Real-World Soccer Context in Tshwane, South Africa
Learners are often tasked with activities that require them to solve problems in mathematics classrooms. Problem posing is one of the teaching strategies that can enable learners to appreciate the mathematics concepts to be extracted from familiar or everyday situations. However, problem posing, as a teaching and learning strategy, is mostly under-utilised, despite its potential to enhance mathematics learning. This article explores how Grade 11 learners pose Mathematics and Mathematical Literacy questions from a 2010 FIFA World Cup soccer match and determines the extent to which the questions posed by learners mirror the given soccer context. The study involved 42 participants, comprising 22 Mathematics and 20 Mathematical Literacy learners from a high school in the Soshanguve township in Tshwane, South Africa. Participants were selected through purposive sampling. Data were collected through a written task in which learners were given a scenario in the form of an extract from a 2010 FIFA World Cup soccer match report. The qualitative findings of the study show that learners were generally capable of posing or formulating questions based on the real-life soccer context provided. The analysis showed that (a) Mathematics learners formulated more questions with more mathematical terms in them than Mathematical Literacy learners did, and (b) Mathematical Literacy learners formulated questions that were more aligned to the analysis of the game than was the case with Mathematics learners. We argue that learners’ responses to the task were consistent with how they were socialised with the Mathematics and Mathematical Literacy discourse.
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