There is a broad consensus that beginning teachers of mathematics need a strong foundation in mathematical knowledge for teaching (MKT), defined as the mathematical knowledge required to recognize, understand, and respond to the mathematical work of teaching one must engage in. One recurrent challenge in teacher education is how to provide support…

Tzur and Simon (2004) postulated two stages of concept development, participatory and anticipatory. The distinction between the two stages was exemplified by what they termed "the next-day phenomenon" in which learners who could solve a task one day in the context of the activity through which they made the abstraction, could not solve…

The fact that research has shown that fractions are among the most difficult mathematical concepts for elementary school students to master (Behr, Harel, Post, & Lesh, 1992; Bezuk & Cramer, 1989; Moss & Case, 1999) provides a compelling motivation for research and innovation focused on improving the available assessment and…

Explores the hypothesis that students in the fourth, fifth and sixth grade who were exposed to the "fraction ruler" as a manipulative for exploring basic fraction operations would perform more successfully in addition, subtraction and multiplication problems than students taught fraction operations by the traditional method. (Author/RK)

In this document, detailed objectives for each grade level are listed according to the following categories: for grades K-9, numeration, basic operations, fractions, money and time, and measurement and geometry; for grades 10-12, numeration, basic operations, fractions, and practical applications. Each objective is keyed to an expected level of…

Describes a project in which students in a community college basic mathematics class worked collaboratively to write their own book on fractions. Students reinforced their math and cooperative skills, gained confidence, organized and revised their ideas, and created their own examples. Relates teacher and student responses to the project. (DMM)