This paper describes a classroom experiment where students use techniques found in the history of mathematics to learn about an important mathematical idea. More precisely, sixth graders in a primary school follow Archimedes's method of exhaustion in order to compute the number p. Working in a computer environment, students inscribe and…

Over the years, the author has learned that illustrated books can help dispel the myth that math is dull, unimaginative, and inaccessible. They can spark children's mathematical imaginations in ways that textbooks and workbooks often don't. Picture books can also help students who love to read--but think math isn't their thing--experience the…

In this article, the author shares his thoughts about who he is as a teacher and what his goals as a teacher turn out to be. The author describes his role as researcher, teacher, and educator. He begins with his take on mathematics teaching and learning, because the question of which mathematics educators teach and how they teach it is really…

The study was designed to support teachers on designing problem-posing tasks to understand students' mathematical learning. Seven classroom teachers and the researcher collaboratively set up a school-based team participating in an assessment project that assists teachers in implementing assessment integral to instruction. Four categories that the…

The study was designed to support teachers on conceptualizing their understanding of students' learning by the use of assessment tasks. A school-based assessment team consisting of the researcher and four third-grade teachers teaching in the same school was set up as a learning context of supporting teachers in developing assessment tasks integral…

Gain a new perspective on the sharing of erroneous solutions in classroom discussions. Based on their research in grades four and six, the authors reveal how student-to-student correction of errors promotes mathematical reasoning and understanding. Tips for teachers include strategies for using students' errors to encourage reasoning during…

This narrative considers how well equipped today's teacher education students and faculty are to meet the demands of the new Common Core State Standards. Data from the Teacher Education Accreditation Council's national evaluation of teacher education programs gives a mixed picture that, while mostly encouraging, also reveals that some…