An Investigation of Multiplicative Reasoning as a Foundation for Teaching and Learning Stochastic Reasoning

汤普森建议对参加新的概率和统计推理教学方法的高中生进行为期40个月的学习困难调查。本研究还探讨了教师如何有效地教授学生如何进行随机推理。该项目将利用专门设计的活动和教学，在概率和统计的半学期课程中，重点关注面向大学的人文方向的高中生。该项目的第二阶段将使代数一和代数二的一组高中教师重新思考学生如何从统计学教学中学习。第二阶段将为教师举办为期4周的工作坊。数据将通过录像带、学生访谈、教师访谈和教师书面作业的例子收集。从项目中获得的见解将为学生和教师材料的修订提供依据。结果将通过专业期刊上的文章向研究人员传播，并通过行业期刊和区域讲习班向从业人员传播。

Thompson proposes to conduct a 40-month investigation of high school student learning difficulties when they participate in new instruction mehtods for probabilistic and statistical reasoning. It also investigates how teachers might be effectively engaged in the teaching of students how to reason stochastically. The project will focus on college-bound humanities-oriented high school students in a sememster course on probability and statistics using specifically designed activities and instruction. A second phase of the project will engage a group of high school teachers of Algebra I and Algebra II in rethinking how students learn from statistics instruction. A 4-week workshop for teachers will be held in the second phase. Data will collected by videotape, student interviews, teacher interviews, and from examples of teachers' written work.Insights gained from the project will inform revisions of student and instructor materials. Results will be disseminated to researchers through articles in professional journals and to practitioners through trade journals and regional workshops.