Twinned Teachers’ Mathematical Discourse Using Problem-Solving

T. Makgakga
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Abstract

Discussing and debating mathematical ideas through integrating natural and mathematical language is vital for conceptual understanding and ultimately for learner performance. In schools with low performance, it is likely that teaching mathematics follows an approach largely involving rote learning. In rural Limpopo where schools are isolated, professional development takes the form of twinning, where a well-functioning school twins with a school in need. In this study two teachers twinned to teach algebraic word problems to Grade 11 to improve learner performance through a problem-solving approach. A central aspect of the study was attention to discourse informed by the commognitive framework, where both natural language (learners home language and the language of instruction) and language of mathematics spoken by the teachers and encouraged in the learners, was the focus.  This quasi-experimental design was implemented to examine the effect of the twinned teachers discourse in a class where English, the language of instruction, was a second language. In the study a pre-test and post-test were administered to the experimental group of 34 learners, and to a comparison group of 40 learners. The study aimed at testing the hypothesis that the twinned mathematics teachers’ discourse using a problem-solving approach informed by the commognitive framework has a significant effect on learner performance in algebraic word problems. In summary, using the commognitive framework in implementing problem-solving approach with the twinned teachers’ mathematical discourse had significant effect in improving learner performance of algebraic word problems in the target group.
利用问题解决的孪生教师数学话语
通过整合自然语言和数学语言来讨论和辩论数学概念对于概念理解和最终的学习者表现至关重要。在成绩较差的学校,数学教学很可能主要采用死记硬背的方法。在林波波省的农村地区,学校是孤立的,专业发展采取了孪生的形式,一所运作良好的学校与一所需要的学校是孪生的。在这项研究中,两位教师联手教11年级的代数字题,通过解决问题的方法来提高学生的表现。该研究的一个中心方面是关注由交际框架提供信息的话语,其中自然语言(学习者的母语和教学语言)和教师使用并鼓励学习者使用的数学语言是重点。这种准实验设计是为了检验双胞胎教师在英语为第二语言的课堂上的话语效果。本研究对实验组34名学习者和对照组40名学习者分别进行了前测和后测。本研究旨在验证双胞胎数学教师使用基于交际框架的问题解决方法的话语对代数词问题学习者的表现有显著影响的假设。综上所述,在双胞胎教师数学语篇中使用交际框架实施问题解决方法对提高目标群体代数词问题学习者的表现有显著的效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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