The learning of logarithmic functions by 12th-grade students based on modelling tasks

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-07-01 DOI:10.17163/alt.v17n2.2022.05

Samuel Araújo, Floriano Viseu, A. J. Soares, Isabel Leite

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引用次数: 0

Abstract

The relevance that the application of what is learned in Mathematics to everyday situations has in student learning has led us to develop an experiment on teaching the logarithmic function using modelling tasks. Based on this experiment, we intend to characterize the activities of 12th-grade students in the performance of modelling tasks concerning topics of logarithmic functions and identify the difficulties they may present while solving these tasks using a graphing calculator. When adopting a qualitative and interpretative approach, data were collected through students' written records while solving the proposed tasks using the graphing calculator. The results indicate that the students show that the modelling tasks promoted group work and their interest and participation in class. During the exploration of the tasks, students performed activities that result from the accomplishment of modelling phases such as understanding the statement of the task, organizing and analyzing data, building and validating the model that best fits the data, and exploring the model, either in the introduction of the logarithmic function and its derivative or in the consolidation of the acquired knowledge. In such activities, some students presented difficulties regarding the properties and characteristics of the logarithmic function and its graphic and symbolic representation. The phases of the modelling cycle also made it difficult for students to use the graphing calculator, namely in performing statistical regressions and setting the visualization window.

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基于建模任务的12年级学生对数函数的学习

将在数学中所学到的知识应用到学生的日常学习中，这一相关性促使我们开展了一项利用建模任务教授对数函数的实验。基于这个实验，我们打算描述12年级学生在执行对数函数主题的建模任务时的活动特征，并确定他们在使用图形计算器解决这些任务时可能遇到的困难。当采用定性和解释性的方法时，数据是通过学生的书面记录收集的，同时使用图形计算器解决提出的任务。结果表明，学生表现出建模任务促进了小组合作和他们对课堂的兴趣和参与。在探索任务的过程中，学生们完成了建模阶段的活动，如理解任务的陈述，组织和分析数据，建立和验证最适合数据的模型，以及在引入对数函数及其导数或巩固所学知识的过程中探索模型。在这些活动中，一些学生提出了关于对数函数的性质和特征及其图形和符号表示的困难。建模周期的阶段也使学生难以使用图形计算器，即在执行统计回归和设置可视化窗口方面。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.