… on mathematics teachers' knowledge for teaching mathematics is to investigate the nature of
the knowledge teachers … to support further development of the knowledge they hold or lack. …

… of mathematical problem-solving knowledge for teaching … framework of key knowledge
mathematics teachers ought to hold … to help teachers to understand and develop the mathematics …

… with other teachers or researchers in all of these settings, but will include teacher education
… study is on the teachers’ knowledge or practice and not on the teacher education program. …

… have been strongly supported by teacher education institutions and the association of
mathematics teachers and were partially adopted by the Ministry of Education. In just a few years, …

… knowledge. Next we describe survey items we wrote to represent knowledge for teaching
mathematics … We found that teachers’ knowledge for teaching elementary mathematics was …

… teachers’ knowledge and beliefs in their central questions and analyses.2 As we had expected,
teachers and teacher knowledge … Research on Teaching, Third Edition (Wittrock, 1986). …

… , particularly at the elementary and middle school grades, often have limited content knowledge
(… provide opportunities for teachers to improve their knowledge of teaching mathematics. …

… that teachers' knowledge (at least elementary school teachers) is … recently that this lack of
knowledge critically influenced learning. … the belief that teacher knowledge of mathematics is a …

… teachers’ knowledge is. Invisible in this research, however, is that the mathematical knowledge
of … We are simply failing to reach reasonable standards of mathematical proficiency with …

… of the Journal of Mathematical Behavior: An international … teachers work to create learning
situations in which students deploy all of their diverse repertories of mathematics knowledge …