重新思考教学语言在学校数学学习中的支柱作用

Nick Vincent Otuma, Robert Kati, D. Wasike
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摘要

尽管英语已成为当今世界大多数课堂(包括数学课堂)的首选教学语言,但在未来很长一段时间内,英语仍将是许多学生和他们的老师的第二语言。在数学语言研究中,迄今为止对英语作为教学语言(LoTL)的作用的关注一直是关于学生语言熟练程度的影响。这也许可以解释为什么那些以英语为第一语言(L1)学习的人被认为精通数学语言,而第二语言学习者必须首先达到英语熟练程度。这是尽管目前缺乏明确的标准,以满意的熟练程度,在学校数学成功的一般学习英语。一个尖锐的问题仍然存在:第二语言学习者必须用英语学习数学,因为他们面临双重危险?本文对学生在第二语言语境中对数学文本和数学学生典型课堂语言中常见词汇的解释结果进行了批判性分析,以突出这门语言(英语)对数学学习者的普遍困难。论文提取的主要研究采用多案例研究设计来检查肯尼亚中学数学语言(ML)的使用和学习者对数学的概念理解。通过问卷调查、课堂观察和访谈收集数据。研究结果表明,大多数第二语言学生对外语的熟练程度较低;社会经济背景是影响学生对LoTL熟练程度的一个因素,数学教师没有意识到语言在学习数学概念中的重要性。本文的主要结论是,数学概念的解释依赖于语言,这对不精通LoTL的学习者来说是一个挑战。纸上写着
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Rethinking Proficiency in the Language of Teaching and Learning (LoTL) as a Pillar in the Learning of School Mathematics
Although English has become the preferred language of instruction in most classrooms, including those of mathematics across the world today, it will still remain a second language (L2) to many students and their teachers for a long time to come. In mathematics language research, the attention so far given to the role of English as the Language of Teaching and Learning (LoTL) has been with the regard to the impact of levels of student proficiency in the language. This perhaps explains why those who learn in English as their first language (L1) are perceived as proficient in mathematical language, while L2 learners have to attain a level of proficiency in English first. This is in spite of the current absence of clear benchmarks for satisfactory proficiency in English for successful general learning in school mathematics. The poignant question remains: must L2 learners learn mathematics in English given the double jeopardy they face? This paper presents a critical analysis of findings of students’ interpretation of lexical vocabulary common in mathematics texts and in the classroom language typical of mathematics students in L2 contexts, to highlight the general difficulty of this language (English) to the mathematics learners. The main study from which the paper is extracted employed multiple-case study design to examine Mathematical Language (ML) usage and learners’ conceptual understanding of mathematics in secondary schools in Kenya. Data were collected by questionnaires, classroom observations and interviews. The findings of the paper indicate that a majority of L2 students have low proficiency in LoTL; socio-economic background is a factor of proficiency in the LoTL, and mathematics teachers were not aware of the importance of language in learning mathematical concepts. The main conclusion of the paper is that interpretation of mathematical concepts is language dependent which is a challenge to learners not versed in the LoTL. The paper reco
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