请英语高手解释语法问题(新视野英语课文)

题目

请英语高手解释语法问题(新视野英语课文)
Now.Joe Gauld is trying to spread his controversial character first idea to public,inner-city schools willing to use the tax dollars spent on the traditional program for the new approach这句话Willing前是不是少了Who are修饰,不然感觉读不通啊.但是原文就这样.

答案

Now,Joe Gauld is trying to spread his controversial Character First idea to public,inner-city schools willing to use the tax dollars spent on the traditional program for the new approach.
问：这句话Willing前是不是少了Who are修饰,不然感觉读不通啊.但是原文就这样.求权威解释.
答：是省略了that(/which) are 而不是who are,因为schools是学校,不是人.
这里的Character First是Hyde school的办学理念,要大写首字母的,你小写了,不应该.
这个理念目前还是有争议的（controvesial),但是校长Joe Gauld 正在努力的向那些public,inner-city schools (旧城区公立学校）传播他的理念.
willing to use the tax dollars （+过去分词作定语）是现在分词短语作后置定语,修饰schools的.相当于定语从句that(/which) are willing to .
这些学校愿意将那些花在传统项目上的tax dollars用于这个新的教学approach