Textbook is one of the most tangible resources for teaching and learning mathematics, offering valuable opportunities for both teachers and students. This study compared the mathematical tasks in 6th-grade textbooks from the United States and Turkey, focusing on three dimensions of the tasks: representation, contextual features, and cognitive…

The purpose of this study was to evaluate the population invariance of equating functions across country subgroups in TIMSS 2015 mathematics tests in relation to the raw-score distribution, DIF, and DTF. We used equipercentile and IRT observed-score equating methods. The results of the study indicate that there is a relationship between the…

While achievement gaps have been well-established, much remains to be understood about the manner and extent to which school leadership either increases or decreases student access to opportunity to learn. The current study uses nationally representative samples of U.S. and Flemish students in Grade 4 from the 2011 Trends in International…

While research on the impact of a Eurocentric curriculum has often focused on marginalized populations in developing nations, it is paramount that scholars also examine the impact of this curriculum on students in the Global North. To this end, this paper begins by first defining and then critiquing what is often referred to as the…

In this study, we examined and compared volume and volume-related lessons in two common core aligned U.S. textbook series and Korean elementary textbooks. Because of the importance of textbooks in the lesson enactment process, examining what textbooks offer to students and teachers is important. Since different parts of a textbook provide…

Curriculum mapping is a comparability method that facilitates comparisons of content within multiple settings (usually multiple jurisdictions or specifications) and enables claims to be made about those curriculums/jurisdictions. Although curriculum maps have been published, there is little academic literature about the process of constructing and…

This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differences and similarities among these textbooks through horizontal and vertical analyses. We found that these textbooks provide…

This study analyzed the methods used to teach the multiplication of fractions in Turkish and American textbooks. Two Turkish textbooks and two American textbooks, "Everyday Mathematics" (EM) and "Connected Mathematics 3" (CM), were analyzed. The analyses focused on the content and the nature of the mathematical problems…

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)…

The purposes of this study were to compare the differences in the use of geometry in elementary school mathematics textbooks among Finland, Mainland China, Singapore, Taiwan, and the USA and to investigate the relationships between the design of the textbooks and students' performance on large-scale tests such as TIMSS-4 geometry, TIMSS-8…

As a component of the ongoing development of the mathematics curriculum in China, we compare the country's high school mathematics textbooks with those of several other countries. We base our analysis on the assumption that textbooks, as primary printed teaching resources, are key tools for interpreting educational policy. In this paper, we…

Educators often argue that mathematics should be taught so that the students in the course are actually "doing mathematics." Is there a consensus among mathematicians and mathematics educators as to the meaning of "doing mathematics?" In an effort to answer this question, we administered a survey to hundreds of university-level…

Using data from the international Teacher Education and Development Study: Learning to Teach Mathematics (TEDS-M), the measurement equivalence of teachers' beliefs across countries is investigated for the case of "mathematics-as-a fixed-ability". Measurement equivalence is a crucial topic in all international large-scale assessments and…

Applying a measurement instrument developed in a specific country to other countries raise a critical and important question of interest in especially cross-cultural studies. Confirmatory factor analysis (CFA) is the most preferred and used method to examine the cross-cultural applicability of measurement tools. Although CFA is a sophisticated…

In order to provide insight into cross-national differences in students' achievement, this study compares the initial treatment of the concept of function sections of Chinese and US textbooks. The number of lessons, contents, and mathematical problems were analyzed. The results show that the US curricula introduce the concept of function one year…