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Generating Enthusiasm for Mathematics Through Robotics

机译:通过机器人生成对数学的热情

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This evidence-based practice paper describes the study of generating enthusiasm for mathematics through robotics. A survey of Rensselaer Polytechnic Institute undergraduate students taking the Robotics I course showed that, while many students have a great interest for mathematics, more than 1 in 4 of those same students expressed that they were not adequately prepared for the mathematics required. This is particularly concerning for those teaching engineering courses because concepts of robotics and mathematics are very much intertwined. Therefore, this inspired a study of younger middle school and high school students to i) assess preexisting notions of mathematics and robotics, ii) introduce an educational module to highlight the connection between robotics and mathematics, and iii) evaluate the students' new opinions of mathematics and robotics. Through this, the objective is to develop and validate a method for generating enthusiasm for mathematics as well as for robotics. The method to be validated works by first giving students an oral presentation on robotics and the mathematical concepts behind it. After the presentation, the students are given a challenge that involves these mathematical concepts and pre-built LEGO NXT-based robots. The students have to complete the challenge using the mathematic concepts given during the presentation; primarily those which involves determining programming parameters by calculating distances traveled by rolling wheels. The students are encouraged to calculate these programming parameters rather than using guess-and-check methodology. The effectiveness of the presentation and hands-on activity were evaluated by comparing the differences between responses of preliminary and concluding surveys for students of Berlin Junior/Senior High School (in Berlin, NY) and Lansingburgh High School (in Troy, NY). These results are analyzed with paired t-tests to determine the significance of change for students as a whole as well as for specific genders. At the 5% level of significance, an increase was found in both schools' students' survey responses for agreement with statements such as 'Mathematics is important when learning robotics,' and 'The Engineering Design Process is an important tool for solving challenges,' (n=103, p<10~(-4) for both statements). Overall, the results show that a majority of the paired t-tests for the survey questions had a significant improvement. Therefore, it was concluded that there was a significant improvement in the students' enjoyment, appreciation, and understanding of the concepts of mathematics within the field of robotics as a result of this educational module.
机译:本证据的实践论文介绍了通过机器人学产生数学热情的研究。对Rensselaer Polytechnic Institute课程的一项调查,即我课程的机器人学院学科均表明,虽然许多学生对数学有很大兴趣,但同一学生中的4个超过1人表示他们没有充分为所需的数学做好准备。这尤其适用于那些教学工程课程,因为机器人和数学的概念非常交织在一起。因此,这激发了对年轻中学和高中学生的研究到i)评估了数学和机器人的概念,ii)介绍一个教育模块来突出机器人和数学之间的联系,而iii)评估学生的新意见数学和机器人。通过这一点,目的是开发和验证一种用于为数学和机器人提供热情的方法。通过首先给学生对机器人的口头介绍以及它背后的数学概念进行验证的方法。演示后,学生们遇到了涉及这些数学概念的挑战,并预先建立了基于乐高的机器人。学生必须使用演示期间给出的数学概念来完成挑战;主要是那些涉及通过计算滚轮行进的距离来确定编程参数的那些。鼓励学生计算这些编程参数而不是使用猜测和检查方法。通过比较柏林初中/高中学生的初步和结论调查(柏林,纽约)和兰辛堡高中(Troy,Ny)的初步和结论调查的答案之间的差异来评估介绍和动手活动的有效性。这些结果分析了配对的T检验,以确定学生的变化的重要性以及特定的性别。在5%的意义程度上,在学校的学生调查答复中发现了一个增加,与“数学在学习机器人”等陈述中的委员会协议,“工程设计过程是解决挑战的重要工具” (n = 103,两个陈述的p <10〜(-4))。总体而言,结果表明,调查问题的大多数成对的T检验都有显着改善。因此,它的结论是,由于该教育模块,学生享受,欣赏和对机器人领域的数学概念有重大改善。

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