Teacher productive disposition is considered as one of the key strands of mathematical proficiency. Teacher disposition and positioning (disposition in action) toward mathematics influence student learning. However, teachers' productive disposition does not always translate into productive positioning in the mathematics classroom, and vice versa.…

In this study, we analyzed and compared reasoning and proving opportunities in geometry lessons from American standard-based textbooks and Korean textbooks to understand how these textbooks provide student opportunities to engage in reasoning and proving activities. Overall, around 40% of exercise problems in Core Plus Mathematics Project (CPMP)…

This qualitative descriptive research study explored perspectives of ten middle school math inclusion teachers (general and special education) in a United States school district geographically located in Europe. Data from interviews and observations were analyzed using a thematic approach to content analysis to gain insight into instructional…

This study analyzed how the earliest teaching and learning of probability was organized in Singapore, the US, and Indonesia through an analysis of textbook as an intended mathematics curriculum. An analytical framework was developed comprising four perspectives: representational forms, cognitive demand levels, contextual features, and organization…

Three textbooks from Brazil and three textbooks from the United States were analysed with a focus on similarity and context-based tasks. Students' opportunities to learn similarity were examined by considering whether students were provided context-based tasks of high cognitive demand and whether those tasks included missing or superfluous…

This study identified some factors associated with teachers' knowledge and beliefs that are related to scoring mathematics constructed-response (CR) assessment tasks. Five groups of teachers (n = 274) who either had different teaching experiences or had different cultural beliefs about teaching and learning mathematics were selected to score 28…

This study analyzed geometry problems in four middle-grade mathematics textbook series from Taiwan, Singapore, Finland, and the United States, while exploring the expectations for students' learning experiences with these problems. An analytical framework developed for mathematics textbook problem analysis had three dimensions: representation…

The theme for the 62nd annual conference of the Association of Literacy Educators and Researchers was Educating for a Just Society. Connie Briggs, previous Program Chair, reminded us that, "Education has always been the foundation of a democratic nation. It is important that our students understand the principles upon which our nation was…

With international exams (PISA and TIMSS) producing results every three or four years, there is near continual talk of East Asian dominance in mathematics education. Beyond the reporting of scores, some studies have compared mathematics teaching in these countries with U.S. instruction. However, researchers are not (usually) grade school math…

International comparisons have highlighted that the U.S. mathematics curriculum, both in terms of curriculum influences (e.g., textbooks, standards) and actual instruction, is broad and shallow. Standards-based reform is explicitly designed to improve coherence and reduce redundancy across grades. This article evaluates the redundancy of…

Calls to advance students' ability to engage in mathematical reasoning practices including conjecturing, generalising and justifying (CGJ) place significant new demands on teachers. This case study examines how Mathematics Studio provided opportunities for a team of U.S. middle school teachers to learn about these practices and ways to promote…

Mathematics, science, and technology are three disciplines that are highly discussed in national and international circles, especially as regards their importance to the success of young people after they leave school. With that, the purpose of the study is to examine the integration of technology into mathematics and science instruction in…

This study investigated the development of the concept of variables in middle grades mathematics textbooks during four eras of mathematics education in the United States. Findings revealed that each of the middle grades mathematics curricula examined used variables, but in varied proportions and levels of complexity. Formal definitions for…

Background: As an effort to account for disparities in mathematics performance between American and East Asian middle school students, the present research aims to compare the relationship between learning styles (competitive and cooperative) and mathematics performance among middle school students between the USA and the three top-performing East…

Sampling tasks and sampling distributions provide a fertile realm for investigating students' conceptions of variability. A project-designed teaching episode on samples and sampling distributions was team-taught in 6 research classrooms (2 middle school and 4 high school) by the investigators and regular classroom mathematics teachers. Data…