The Study of Informal Mathematics Learning: A Case Study Using Square One TV

非正式数学学习的研究--以Square One TV为例本研究的目的是增加对非正式数学学习的认知和态度的理解数学可以通过为此目的设计的电视节目--Square One TV--来实现。这项研究将确定学习者和非正式数学学习体验的特征；考察为期四到六周的观看体验，以了解非正式数学学习发生的背景；确定促进对数学的积极思考的程序特征；揭示观看的情感和认知结果，包括观看时参与的活动、观看产生的后续活动，以及对数学的感知和态度的变化。一对一的家庭访谈将在测试前和测试后的基础上进行，为期4到6周，有600对父母和孩子。4至12岁的儿童和他们的父母之一将接受采访。中介电话采访将允许仔细跟踪实际观看时间和观看期间发生的事情。在前测和后测之间，存在三种非正式学习条件。200名儿童观众将不被鼓励观看，另外200名儿童观众将被鼓励在Square One TV播出时观看指定数量的电视，最后200名儿童观众将被鼓励定期观看Square One TV。这项研究的结果将是加深对非正式数学学习的理解，完善非正式学习的模式，以及这一领域的研究方向。

The study of informal mathematics learning: A case study using Square One TV A goal of this study on informal mathematics learning is to increase understanding of how perceptions of and attitudes toward mathematics can be mediated with television programming -- Square One TV -- designed for this purpose. This study will be conducted to determine characteristics of the learner and informal mathematics learning experiences; examine the viewing experience over a four- to six-week period to understand the context in which informal mathematics learning occurs; determine program characteristics which facilitate positive thinking about mathematics; and reveal affective and cognitive outcomes from viewing including participation in activities while viewing, follow-up activities which result from viewing, and change in perceptions about and attitudes toward mathematics. One-on-one in-home interviews will be conducted on a pre- and post-test basis over a four- to six-week period with 600 child-parent pairs. Children from age 4 to 12 and one of their parents will be interviewed. Intermediary telephone interviews will permit careful tracking of actual viewing time and of what happens during viewing. Three conditions for informal learning will exist between the pre- and post-test. Two hundred child viewers will have no encouragement to view, another 200 will be encouraged to view a designated amount of television in the time slot when Square One TV airs, and a final 200 will be encouraged to view Square One TV on a regular basis. Outcomes of the study will be increased understanding of informal mathematics learning, refinement of a model for informal learning, and directions for research in this area.