Four (algorithms) in one (bag): an integrative framework of knowledge for teaching the standard algorithms of the basic arithmetic operations

In this article we present an integrative framework of knowledge for teaching the standard algorithms of the four basic arithmetic operations. The framework is based on a mathematical analysis of the algorithms, a connectionist perspective on teaching mathematics and an analogy with previous frameworks of knowledge for teaching arithmetic operations with rational numbers. In order to evaluate the potential applicability of the framework to task design, it was used for the design of mathematical learning tasks for teachers. The article includes examples of the tasks, their theoretical analysis, and empirical evidence of the sensitivity of the tasks to variations in teachers’ knowledge of the subject. This evidence is based on a study of 46 primary school teachers. The article concludes with remarks on the applicability of the framework to research and practice, highlighting its potential to encourage teaching the four algorithms with an emphasis on conceptual understanding.     

眼波前像差检测实验研究

根据哈特曼-夏克波前检测理论,设计一个简单的眼波前像差检测系统。本文介绍了其工作原理和实验装置,通过对模拟眼球的波前像差检测,证明该系统可用于实验教学。     

问题教学法在无机化学理论课中的应用

在无机化学理论课的教学中运用问题教学法,以突出问题教学创造性和发展性的本质,激发学生的思维创新性和科学好奇心,有效培养学生的独创能力。     

基于视频辅助的“翻转课堂”技术在高分子化学实验课程中的应用

在《高分子化学实验》教学过程,采用"翻转课堂"的教学理念,广泛采用视频讲义辅助教学,有效提高学生主动学习的能力,增加教学的互动性,通过多元化的实验项目设计,培养学生的分析问题、解决问题的能力,深化理论教学的效果。由于"翻转课堂"教学方式的引入,提高了学生对实验项目的领悟能力,并辅助大量的引导问题,有效实现了实验教学和理论教学的统一。通过引入视频教学的特点,有效缓解了传统实验教学中,实验仪器不足,场地紧张的难题,充分提高实验设备的使用效率。综合设计《高分子化学实验》课程的实施方式和管理制度,为视频化讲义的推广积累有益的经验。     

线上教学的难题与解决方法*——大学化学慕课建设中的思考

利用中国大学 MOOC平台进行“大学化学”慕课的第二次录制。在本次课程的建设中,总结第一次录制时遇到的线上教学难题,提出“私人定制,以学为本,冲击高阶,求实创新”的新目标,开展分层递进等教学模式。实践表明,该模式可以满足不同基础学生的需求,大幅提高学习效率,克服线上教学学生基础差距大、教学效果反馈不及时等难题;同时兼具科普和思政教育效果。     

“医用高分子材料”思政示范课教学案例设计*

以抗击新冠肺炎疫情为背景,对“医用高分子材料”思政示范课进行教学案例设计。该案例将翻转课堂教学模式与思政教育相结合,使学生在主动学习与思考中接受思政理念的熏陶。问卷调查结果表明,这一案例可以有效提高学生的学习兴趣,有助于学生树立正确的人生观、价值观。     

澳大利亚化学教育中科学阅读教学评一体化策略研究*—以维多利亚州为例

我国科学教育中科学阅读的现状并不乐观。比较澳大利亚的化学教育,以维多利亚州为例对其官方文件、化学教材、高考考题进行剖析,得出教学评一体化策略可以加强科学阅读,全面提升学生科学素养。借鉴这一策略,可以通过课内与课外、阅读与写作、教学与评价这3方面的相辅相成来促进科学阅读的开展,发展学生的核心素养。     

Understanding and advancing graduate teaching assistants’ mathematical knowledge for teaching

Graduate student teaching assistants (GTAs) usually teach introductory level courses at the undergraduate level. Since GTAs constitute the majority of future mathematics faculty, their image of effective teaching and preparedness to lead instructional improvements will impact future directions in undergraduate mathematics curriculum and instruction. In this paper, we argue for the need to support GTAs in improving their mathematical meanings of foundational ideas and their ability to support productive student thinking. By investigating GTAs’ meanings for average rate of change, a key content area in precalculus and calculus, we found evidence that even mathematically sophisticated GTAs possess impoverished meanings of this key idea. We argue for the need, and highlight one approach, for supporting GTAs to improve their understanding of foundational mathematical ideas and how these ideas are learned.     

University−Urban High School Partnership: Math and Science Professional Learning Communities

This study focused on science and math professional learning communities (PLCs) that were implemented through a university‐urban high school partnership. These PLCs were part of mandated school‐wide, content‐based PLCs implemented as part of the reform efforts initiated in an urban school to address the school's failure to meet Adequate Yearly Progress (AYP) for four years consecutively and low graduation rate (less than 25%) for male students. The key issues were (a) students had continually earned low test scores; (b) there was continuous principal turnover; (c) faculty morale was at an all‐time low, and the quality of teaching was very poor; and (d) the students were not effectively disciplined. The study examined the impact that university faculty‐led mandated PLCs have on teachers' practices and students' learning and achievement. Analysis of data revealed practices that were effective in developing and implementing these successful math and science PLCs. Three themes emerged: ethics of care, teacher agency, and aesthetics of professional interactions. Each theme contained key features that appeared to contribute to the implementation of a successful PLC.     

高校高等数学教与学的博弈

在信息不完全的情况下,利用博弈论的方法分析高等数学教学中师生合作的可能,提出相应的教学策略达到师生双赢.