The one constant I observed in most parts of my mathamatics journey (math major in college, software engineering & computer science at university) was the lack of understanding by the person doing the math teaching that not everyone will be able to follow along if steps in the ladder are missing.
Words and sentences like 'it is obvious', 'clearly', 'as can be seen' should be avoided when teaching someone a subject as abstract as mathematics as inevitably you are not fully realising the size of the gap in knowledge between you and your students and how such statements can leave them feeling frustrated.
> Math is easy if...
The one constant I observed in most parts of my mathamatics journey (math major in college, software engineering & computer science at university) was the lack of understanding by the person doing the math teaching that not everyone will be able to follow along if steps in the ladder are missing.
Words and sentences like 'it is obvious', 'clearly', 'as can be seen' should be avoided when teaching someone a subject as abstract as mathematics as inevitably you are not fully realising the size of the gap in knowledge between you and your students and how such statements can leave them feeling frustrated.