Recognising teachers' knowledge as one of the main factors influencing their practices and student learning, we aim to contribute to obtaining a better and deeper understanding of the specificities of teachers' mathematical knowledge. A case study involving one 8th-grade Chilean mathematics teacher is presented in the context of rational numbers.…

While rural communities are not monolithic, many have seen recent shifts in demographics from historically homogenous populations to more racially, culturally, and linguistically diverse residents (e.g., Sharp & Lee, 2017; Brenner, 2016). Such shifts can occur very rapidly as new regional economic, social, or political forces emerge and are…

The Alabama State Department of Education (ALSDE) was grappling with several issues including: (1) A respectable rate of growth in student achievement for both fourth- and eighth-grade math in the state of Alabama, as measured by the National Assessment of Educational Progress (NAEP), but below the national average; and (2) A growing concern about…

This study provided a springboard for teacher preparation evaluation studies by examining what content and pedagogical content knowledge mathematics pre-service teachers demonstrated in the 4-8 mathematics teacher preparation program at an urban research university. Twenty nine pre-service students participated in an assessment called Diagnostic…

This study is the part of a larger study on investigating Hong Kong (HK) prospective teachers' (PTs) subject matter knowledge (SMK) and Pedagogical Content Knowledge (PCK). In this paper, five HK PTs' and PC on teaching one topic regarding square root were investigated. The results suggest that insufficient understanding on the concept of…

AAAS (American Association for the Advancement of Science) is collaborating with BSCS (Biological Sciences Curriculum Study) in the development of a curriculum unit for eighth grade students that connects fundamental chemistry and biology concepts to better prepare them for high school biology. Recognizing that teachers play an influential role in…

Researchers have recently used traditional item response theory (IRT) models to measure mathematical knowledge for teaching (MKT). Some studies (e.g., Hill, 2007; Izsak, Orrill, Cohen, & Brown, 2010), however, have reported subgroups when measuring middle-grades teachers' MKT, and such groups violate a key assumption of IRT models. This study…

This paper compares lessons on linear equations from the same curriculum materials taught by two teachers of different levels of mathematical knowledge for teaching (MKT). The analysis indicates that the mathematical quality of instruction in these two classrooms appears to be a function of differences in MKT. Although the two teachers were…

The influence of mathematics teacher education programme courses on pre-service teachers' mathematics teaching belief systems before their field experience was initially investigated through a Likert-type scale. The impact of a third year general teaching methodologies course was then investigated through the responses pre-service teachers…

This study examines the impact of a nationally disseminated professional development program, Developing Mathematical Ideas (DMI), on teachers' specialized knowledge for teaching mathematics and illustrates how such research could be conducted. Participants completing 2 DMI modules were compared with similar colleagues who had not taken DMI.…

The general pedagogical knowledge of teachers is not often investigated in comparison to content knowledge and pedagogical content knowledge. In this article, a more comprehensive outlook on teachers' skills and knowledge without regard to subject-specific nuances is discussed in relation to classroom management strategies, the organization of…

There is considerable research on teachers' beliefs and teachers' knowledge, but little empirical evidence exists as to the interplay between them. This article reports a study of 356 Norwegian teachers who answered a questionnaire and a multiple-choice test. Based on this study, the connections between two knowledge constructs and two beliefs…

This report contains resources to help researchers and policymakers review measures used in NCEE evaluations of educational interventions. The measures included in the Compendium are applicable to settings for preschool through grade 12. The Compendium discusses criteria and their importance in selecting measures for assessing intervention impacts…

This article describes experiences from a professional development project designed to prepare in-service eighth-grade mathematics teachers to develop, explore, and advance technological pedagogical content knowledge (TPCK) in the teaching and learning of Algebra I. This article describes the process of the participating teachers' mathematical…

This article presents the results of a three-year study that explores students' performance on patterning tasks involving prealgebra and algebra. The findings, insights, and issues drawn from the study are intended to help teach prealgebra and algebra. In the remainder of the article, the authors take a more global view of the three-year study on…