GJones

Chapters 5-8 proposes to allow students to come up with their own methods of solving mathematical problems using self-generated algorithms.  They propose that it is okay for the student to manifest algoritms and prove these algorithms successful via trial and effort.  The use of formal algorithms are not a ulitmate priority, but they are to be only aids to the students autonomous methods.  There are several examples of how to allow this process to flourish in each of the chapters.  I already am a proponent of informal algorithms in mathematics.  The Saxxon style of math seems somewhat an antithesis to what is being proposed.  Saxxon is very strong on adherring to formally taught algorithms and does not allocate time for the type of authentic self-discovery that is presented within Student-Centered Math.  I however, I agree with the methods professed in the chapters of this book. They seem to mirror those set by the NCTM (National Council of Teachers of Mathematics).