数学教科书“旁白”中的“留白”探析——以人教A版高中数学教科书为例

Exploration of Liubai in the Margin Notes of Mathematics Textbooks:An Analysis of Senior High School Mathematics Textbooks(Version A)Published by People’s Education Press

“旁白”是新世纪数学教科书的新增栏目之一.探析数学教科书旁白中的“留白”,旨在本土语境中重塑教科书旁白的教育价值,阐明其教学功能.教科书的整体定位转变、单元体例更新与意识形态变化,揭示了教科书旁白“留白有源”的理论背景.例析人教A版高中数学教科书,发现数学教科书在旁白中主要留有“论证之白”和“陈述之白”,其次留有“发现之白”和“方法之白”,极少留有“超越之白”,反映出教科书旁白“留白有形”的实然现状.未来可以从丰富教科书旁白的留白设计、实践基于教科书的“留白创造式”教学及拓展教科书旁白与留白的研究3个方面擘画和实现教科书旁白“留白有期”的美好蓝图.

Margin Notes is one of the new columns in mathematics textbooks in the 21st century.In order to reconstruct the educational value of margin notes in the local context and clarify its pedagogical function,this paper analyzes the different kinds of gap in the margin notes of mathematics textbooks.For the origin of Liubai,there are three aspects of reasons:the turn of whole orientation,the update of unit format and the change of textbook ideology respectively.For the shape of Liubai,taking the high school mathematics textbooks(Version A)published by People’s Education Press for example,it is found that gap of argument and gap of statement take up the most,followed by gap of discovery and gap of method,and very few of the gap of transcendence.In the future,we can make efforts on three aspects:enriching the design of Liubai in textbook,practicing the Liubai-based teaching for creativity on the strength of textbook,and expanding the research on textbook margin notes and Liubai.