学习进阶视域下的数学作业链式设计

Design of Mathematical Homework Chain from the Perspective of Learning Progression

中小学作业存在“碎片化”“量多质低”等问题,学生作业负担繁重。学习进阶是能够描述和规划学生思维、认知发展的模型,具有“大视角”“概念结构主导”“层级设定和转换”“多元伴随性评价”四个方面的教学实践指向。站在学习进阶的视域下审视并指导作业设计,可获得“整体架构”“锚定目标”“转换层级”“评价伴随”的链式结构作业设计取向。据此形成链式作业样态,可逐步架构包含“核心概念结构图的建立”“链式作业目标层级的构建”“链式作业内容的开发”三个过程的单元数学作业链式设计模型。

There are problems in current homework design in primary and secondary schools,such as fragmentation and high quantity but low quality,leading to heavy burden for students.I earning progression is a model that can describe students'thinking and cognitive development and has the teaching direction of“big perspective”“conceptual structure dominance”hierarchical setting and transformationand“multiple accompanying evaluation”.Reviewing and instructing homework design from the perspective of learning progression,we can obtain chain-structure homework design orientation of overall architecture,targeted objective,hierarchy transformation and evaluation accompaniment.Based on this,we can formulate chain-structure homework pattern and construct a mathematical unit homework chain-structure design model that includes three processes:the establishment of core concept structure diagram,the construction of chain-structure homework target hierarchy,and the development of chain-structure homework content.