This study reports teachers' insights and challenges after one year of adopting a curricular material designed to move students through carefully engineered, small steps and encourage learners through success and accessible challenges. The analysis of interviews showed that teachers 'followed' the material in different ways, not necessary in-line…

The authors examined the characterization of mathematical knowledge of teachers using educative curriculum materials. In particular, they investigated knowledge of change and rate of change (in the context of algebra and functions) of 12 teachers with differing levels of experience. Participants used a same set of curriculum materials that embed…

The study used a survey design. The instrument was teachers' questionnaire and interview on awareness and readiness. The interview was administered to the different categories of the respondents using a 4-point Likert scale. Two hundred mathematics teachers were randomly selected from 100 schools (public and private) using stratified random…

This study of six teachers focuses on the ways they organized the classroom discourse, attended to student thinking, and adapted complex tasks from a Standard-based middle school curriculum. The study explores Cohen's (2011) premise that the knowledge teachers develop is related to their attentiveness to student teaching. This study explores the…

Chinese pre-school children perform well in learning mathematics compared with English-speaking children. This study investigates the scenes behind Chinese preschool children's mathematics performance using teacher questionnaires and interviews. Results indicated that the Chinese number system appeared to afford advantages to Chinese children in…

Reforms in mathematics education call for K-12 teachers to employ standards-based pedagogies, which embody the National Council for Teachers of Mathematics' principles and standards. In order to effectively support teachers' implementation of standards-based curricula, professional development must be provided that meets teachers' needs. The…

The research article in this article is part of a larger study that examines an initiative to expand teacher expertise in facilitating mathematical problem solving within the framework of developing and field-testing pedagogical resources. We focus on one year of the study and report on the complex process of professional development as teachers…

This interview study takes place in the context of a single small district in the United States. In the algebra curriculum of this district, there was a shift in the conception of equation, from a statement about unknown numbers to a question about the comparison of two functions over the domain of the real numbers. Using two of Shulman's…

For the past decade, students at California State University (CSU) campuses increasingly lack basic mathematics skills. To address this concern, Executive Order No. 665 (1998) called for CSU campuses to bring students to proficiency in mathematics. School districts have struggled to modify their mathematics curriculum, pedagogy, and assessment in…

This study examines teachers' mathematical understanding of various representations of slope and their knowledge for teaching the concept of slope. Specifically examined in this research are the concept images and concept definitions of slope held by both preservice (N=18) and inservice (N=21) secondary mathematics teachers. Data collected include…