Abstract：
The integrated theory of numerical development provides a unified approach to understanding numerical development, including acquisition of knowledge about whole numbers, fractions, decimals, percentages, negatives, and relations among all of these types of numbers (Siegler, Thompson, & Schneider, 2011). Although, considerable progress has been made toward many aspects of this integration (Siegler, Im, Schiller, Tian, & Braithwaite, 2020), the role of percentages has received much less attention than that of the other types of numbers. This chapter is an effort to redress this imbalance by reporting data on understanding of percentages and their relations to other types of numbers. We first describe the integrated theory; then summarize what is known about development of understanding of whole numbers, fractions, and decimals; then describe recent progress in understanding the role of percentages; and finally consider instructional implications of the theory and research.
摘要：
数值发展的综合理论为理解数值发展提供了统一的方法,包括获取关于整数的知识，分数，小数,百分比,底片，以及所有这些类型的数字之间的关系(Siegler，汤普森,&Schneider,2011).虽然,在这种整合的许多方面都取得了相当大的进展(Siegler，我，席勒,田,&Braithwaite,2020),与其他类型的数字相比，百分比的作用受到的关注要少得多。本章旨在通过报告有关百分比及其与其他类型数字的关系的理解数据来纠正这种不平衡。我们首先描述了集成理论；然后总结了关于整数理解发展的已知知识，分数，和小数；然后描述在理解百分比作用方面的最新进展；最后考虑理论和研究的教学意义。
