Static, dynamic and interactive elements in digital teaching materials in mathematics

Anneli Dyrvold, Ida Bergvall
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Abstract

Contemporary comprehensive mathematics teaching material covering whole courses has developed substantially from the early versions that roughly were ‘books as pdf’ with some complementary online material. In teaching materials that are offered in online web portals (digital teaching platforms) a variety of dynamic and interactive elements can be utilised, offering new ways to engage with mathematics. Despite this recent development, the variety of affordances of the digital environment are utilised to a surprisingly small extent. The pros and cons with digital teaching materials in mathematics are debated, and publishers advertise with arguments about algorithms that lay out an ideal learning path and about joyful content. Critical for students’ learning while working with teaching materials is however that they find it meaningful to use the materials, a persistence in the interaction with the materials, and furthermore that the willingness to explore mathematics remains. In this study students’ interaction with digital teaching material with various kinds of dynamic and interactive elements supplementing the static parts in the presentation of new content is explored. Differences in students’ attention to mathematical facts, essential in the problem solving, is captured using an eye-tracker. Analyses of differences in attentive behaviour depending on the kind of digital element that are used for presentation reveal that the type of digital element that students attend the least to is static elements. Differences in what is offered to and what is demanded from a reader when mathematical facts are presented using various digital elements is discussed and potential implications from the results are suggested.
数学数字教材中的静态、动态和互动元素
当代涵盖整门课程的综合性数学教材与早期的 "pdf 格式书籍 "和一些补充性在线材料相比,有了长足的发展。通过在线门户网站(数字教学平台)提供的教材可以利用各种动态和互动元素,为学生参与数学学习提供了新的途径。尽管最近有了这一发展,但数字环境的各种能力的利用程度却出奇地低。关于数学数字教材的利弊,出版商们争论不休,他们的论点是:算法可以铺设理想的学习路径,内容可以让人愉悦。然而,学生在使用教材时的学习关键在于,他们认为使用教材是有意义的,坚持与教材互动,并保持探索数学的意愿。本研究探讨了学生与数字教材的互动情况,在呈现新内容时,数字教材中的各种动态和互动元素对静态部分进行了补充。使用眼动仪捕捉学生对数学事实的注意力差异,这对解决问题至关重要。根据演示所用数字元素的种类,对注意力行为差异的分析表明,学生最不注意的数字元素种类是静态元素。讨论了在使用各种数字元素呈现数学事实时向读者提供的内容和要求读者提供的内容之间的差异,并提出了这些结果可能产生的影响。
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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