Self-Study of a Teacher's Journey toward Standards-Based Mathematics Teaching

The authors describe a journey of self-study during which one author shifted from traditional, teacher-driven approaches to a more problem-based inquiry approach to teaching mathematics. He videotaped a series of lessons taught to sixth-grade students over a semester and analyzed his teaching during discussions with his mentor at the university. The shared analysis helped him learn to involve his students more directly in their own learning. A major lesson learned was that understanding the potential value of a problem-solving approach to teaching mathematics does not guarantee corresponding changes in the classroom. Two vital elements of lesson development emerged as focal points for self-study. After first learning how to prepare worthwhile mathematical tasks, the teacher also learned the importance of implementing effective questioning strategies to help students think more deeply about the mathematics they were learning.     

Monty's dilemma with no formulas

The article presents an attempt to analyse Monty's dilemma by means of conversational formula‐free dialogues and to simulate the problem by composing isomorphic stories. The crucial roles of specifying the underlying scenarios and explicating epistemic and probabilistic assumptions are highlighted.     

关于高职化工专业群建设的思考

高职院校的专业群建设,是提升院校核心竞争力、打造品牌的关键。建设高职化工专业群,应选择适宜的构建方法,立足产业、打造重点专业及专业群,工学结合、构建"学校+企业"双主体人才培养模式,科学设计基于工作过程的课程体系,加强师资队伍建设,深化校企合作、强化实习实训基地建设,加强院校合作、服务社会。     

论杜威的实验主义对胡适文学批评的影响

胡适以科学为人生观的基础,以科学的态度、精神和方法来对待自己的文学批评活动,用他自己的话说,就是"大胆的假设,小心的求证"。究其原因,乃是杜威的实验主义对胡适产生了深刻的影响。具体而言,杜威的实验主义对胡适的文学批评所产生的影响主要在两个方面:其一,思想独立,敢于质疑文学批评界的定论,并在大胆假设的基础上提出自己的看法;其二,尊重事实,小心求证,孜孜寻求文学活动中的真理。