高中生直观想象素养的形成机制研究

On the Formation Mechanism of High School Students’Visual Imagination Competency

直观想象素养是学生必须具备的数学学科核心素养之一,深入分析高中生直观想象素养的形成过程,为培养学生直观想象素养提供参考.研究发现学生直观现象素养的形成过程符合认知学习理论,具有阶段性.直观想象素养由具象到抽象,由低到高逐渐生成.基于信息加工理论与范希尔的几何思维水平直观想象素养可分为三层次九阶段:原型直观(实物呈现原型、感知几何属性、形成几何表象)、表象直观(形成数学直感、形成数学概念、完善数学概念)、想象直观(操作表象运动、建立逻辑体系、构建直观模型).

Intuitive imagination is one of the core literacy skills for the discipline of mathematics that a student must be equipped with.An in-depth investigation of the formation process of visual imagination in high school students is made in the hope of providing some reference for cultivating intuitionistic imagination in them.The study found that the formation process of intuitionistic phenomenon literacy is consistent with cognitive learning theory.It features a phased characteristic.Intuitive imagination literacy is gradually developed from concrete to abstract,from low to high.Based on the information processing theory and Van Hiele’s levels of geometric understanding,visual imagination literacy can be divided into three levels and nine stages:prototype visualization(physical presentation of prototype,perception of Geometric attributes,formation of geometric representations),visual representations(formation of mathematical visuality,formation of mathematical concepts,perfection of mathematical concepts),and imaginative visualization(operation of image movements,establishment of logical systems,and construction of visualization models).