Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability
to succeed in many professions. Unfortunately, these capabilities pose large difficulties for …

Ideas like" understanding,"" authenticity," and" community" are central in current debates
about curriculum, instruction, and assessment. Many believe that teaching and learning …

One's conceptions of what mathematics is affects one's conception of how it should be
presented. One's manner of presenting it is an indication of what one believes to be most …

Studies of teachers in the US often document insufficient subject matter knowledge in
mathematics. Yet, these studies give few examples of the knowledge teachers need to …

This study illuminates claims that teachers' mathematical knowledge plays an important role
in their teaching of this subject matter. In particular, we focus on teachers' mathematical …

This article focuses on the subject matter knowledge of preservice elementary and
secondary mathematics teachers. In order to examine what teacher candidates understand …

Abstract address... how knowledge & beliefs change over time as novice teachers learn to
teach and experienced teachers attempt to make changes in their teaching …

Teachers make a difference. The success of any plan for improving educational outcomes
depends on the teachers who carry it out and thus on the abilities of those attracted to the …

Why does it work to add a zero on the right when multiplying by 10, or two zeros when
multiplying by 100? Why, when the number includes a decimal, do we move the decimal …

This paper draws on videotapes of mathematics lessons prepared and conducted by pre-
service elementary teachers towards the end of their initial training at one university. The …