Tags: Buy An Essay OnlineHow To Write A Very Good EssaySelf Hatred EssayHow To Write A Literature Review Apa Style SampleDoctoral Programs Without DissertationEssay About School Uniforms PersuasiveTypes Of Research ProposalsGrade 4 Problem Solving
Here are my personal working definitions of each: Yes, these are deliberately economical.Yes, you could add to these definitions if you wanted to.
Look closely at the picture I started this post with: both problem-solving and inquiry are mentioned.
To the former: problem-solving classrooms will always have an element of creativity, unless we force our own methods, techniques and processes on our students.
Further compounding the problem, critical and creative thinking are, at best, ill-defined.
Obviously, this is not helpful – if the math processes are the actions of doing math, it makes sense then that these actions will, at times, encompass critical and creative thinking.
Critical thinking is more than just a simple thought process.
It involves thinking on a much deeper underlying level rather than just at the surface.
Our young mathematicians will make judgements as they are solving problems, deciding which path to follow, and when.
They will pick the best representations for their mathematical work, and their own idiosyncratic mathematical voice will come out.
It will always be our job to consolidate purposefully, and to offer suggestions as to more efficient or effective solutions.
The range and variety of the student work, with all its understandings and misunderstandings will lead us to that point.