Crossroads by StuffEyeSee
In trying to understand those who teach mathematics, valid research is available that seeks to interpret elementary school teachers' math teaching success, especially as it relates to their attitudes and capabilities. Take your pick of any of this research on Teacher's Attitudes Towards Mathematics. The idea that many of our peers have a fear of math and lack the basic understanding of what they are trying to teach should not be a surprise.
Therefore, it is easy to understand that teachers who do like and understand mathematics and its place in the school curriculum make up the minority of teachers. Most likely, there will be a gulf between their ideas about teaching math and those of the teachers who are weak in math. Those who "get it" tend to be more organized in their approach to teaching the children, while those who don't get it tend to look for a fluffy way to teach something that is NOT ephemeral. Math has organization, boundaries, rules....
In the elementary school, teachers must understand that all this logic of math is based on the Real Number System. Although it's NOT ROCKET SCIENCE, it's NOT FLUFFY either.
In mathematics, we look for ways to talk about how to solve a problem, but we also MUST support a system of understanding for students. That's where the organization comes into play. The more the teacher understands and feels comfortable with the ideas and facts of math, the easier it is for students to do the same. Then this teacher will help the students, in a concrete way, develop a clear understanding of their strengths and weaknesses. This teacher will use any and all available data provided through testing in the class or the school to bring success in math to all students.