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Employing data from a stratified random survey of newly certified teachers in Texas, we compare the mathematical content preparation of traditional teacher program graduates with graduates of alternative programs. We find that graduates of traditional programs have statistically significantly higher content preparation even when taking precollege preparation into account. These findings were consistent across different types of alternative programs. Alternatively certified teachers reported higher college entrance exam scores in mathematics, but this was statistically significant only for Grades 4 to 8. After merging survey results with NCES (National Center for Education Statistics) data about the schools at which teachers were employed, we found similar demographic characteristics between the two types of teachers--alternatively certified teachers were not more likely to teach in disadvantaged schools. Finally, while the content preparation of teachers was consistent across types of schools, teachers in disadvantaged schools tended to have lower SAT and ACT scores for both alternatively and traditionally prepared teachers.

This study addresses measurement issues around a standards-based content analysis of mathematics textbooks' coverage of standards for use in large-scale monitoring of standards implementation as proposed in a 2013 report by the National Research Council. An earlier study produced an exhaustive content analysis of textbooks using the 2012 Common Core State Standards for Mathematics. This yielded an accurate and reliable portrait of a textbook's coverage of standards. However, such an in-depth analysis is not feasible for large-scale standards-implementation monitoring in which a large number of textbooks may need to be analyzed. To provide such a portrait with sufficient accuracy while also substantially reducing the associated resources needed to produce such a portrait, a simulation study was conducted with the exhaustively coded database to compare different sampling schemes. Results indicated that sampling 1 day from each week and coding the corresponding lessons led to sufficiently accurate representations of the overall content of the textbook. The results provide empirical evidence for large-scale standards-based content analyses of mathematics textbooks for monitoring standards implementation which could be adapted for other subject areas.

Despite being known as the land of opportunity, the United States is far from equitable when it comes to the mathematics that students have the opportunity to learn. In this article, the authors explore the extent to which students in different schools and districts have an equal opportunity to learn mathematics. Specifically, they discuss research on (1) the amount of variability in content coverage in eighth grade across 13 districts (or consortia of districts) and 9 states, and (2) the variation in mathematics courses offered by high schools in 18 districts spread across 2 states. They explain why all the different mathematics content roads do not fairly and equally lead to the same high-quality educational outcomes. (Contains 5 figures, 2 tables and 12 endnotes.)

Many studies have found a strong relationship between the mathematics students study in school and their performance on an academic or school mathematics assessment but not on an assessment of mathematics literacy (ML). With many countries, like the USA, placing emphasis on finishing secondary education being mathematically literate and prepared for college or career, this raises the question about the relationship between the mathematics studied in school and any ML students may have. The Programme for International Student Assessment (PISA) ML assessment is embedded in real-world contexts that provide an important window on how ready students are to tackle the situations and problems that await them whether they intend to pursue further education beyond high school or intend to go directly into the labour force. In this paper, we draw upon the PISA 2012 data to investigate the extent to which the cumulative exposure to rigorous mathematics content, such as that embedded in college- and career-ready standards, is associated with ML as assessed in PISA. Results reveal that both exposure to rigorous school mathematics and experiencing the instruction of this mathematics through real-world applications are significantly related to all the real-world contextualized PISA ML scores.

International comparative studies in education provide a fresh perspective on K-12 education policy by enabling countries to learn from each other's approaches. The recently conducted Teacher Education and Development Study--Mathematics provides a worldwide lens by which to examine the role of subject-matter in the preparation of US teachers of mathematics for primary and lower secondary students. More specifically, a previous study looking at the international top-performing teacher preparation programmes identified a common set of learning experiences (topics/content) related to mathematics. This empirically derived international benchmark is used in this paper to examine the quality of the mathematics preparation of future US teachers in various university and college programmes.

Researchers at the Center for the Study of Curriculum at Michigan State University have developed a tool to help teachers implement the Common Core State Standards in mathematics by letting standards, not textbooks, guide their instruction. Using the web-based Textbook Navigator/Journal, teachers can pick a standard and ask which portions of the textbook cover it, or they can use the Navigator to identify which Common Core standards are embodied in a particular lesson in the textbook. The Navigator lets teachers control their mathematics instruction, liberating them from rigidly following textbooks and allowing them to focus on teaching the content their students are expected to learn. The Navigator is based on the results of careful analyses of 34 textbook series and 185 individual mathematics textbooks.

This article utilizes the 1999 TIMSS-R data from U.S. states and districts to explore the consequences of variation in opportunities to learn specific mathematics content. Analyses explore the relationship between classroom mathematics content coverage and student achievement as measured by the TIMSS-R international mathematics scaled score. District/state-level socioeconomic status indicators demonstrated significant relationships with the dependent variable, mathematics achievement, and the classroom-level measure of content coverage. A three-level hierarchical linear model demonstrated a significant effect of classroom content coverage on achievement while controlling for student background at the student level and SES at all three levels documenting significant differences in mathematics learning opportunities as a function of the U.S. education system structure. (Contains 5 figures, 5 tables, and 6 notes.)

Used data from the Third International Mathematics and Science Study (TIMSS) to document cultural differences in what constitutes school mathematics. Explored intended, potentially implemented, and implemented curricula in participating countries. Findings show the many ways to structure eighth-grade mathematics. (SLD)

Studies how the cultural context of curriculum policy relates to what students are taught in the classroom by using data from the Third International Mathematics and Science Study (TIMSS). Explores how what constitutes school science varies from one culture/nation to another, and that these differences pervade all instantiations of curriculum. Concludes that there are different cultural approaches that are manifested by content standards, textbooks, and teacher instruction. (Contains 14 references.) (ASK)

The article examines the magnitude to which students in various schools and districts in the U.S. have an equal opportunity to learn mathematics. It presents a research on the variability in content coverage for eight-grade students and the differences in mathematics courses offered to high school students. The findings reveal the lack of educational equality in content coverage in the country and recommends the need to correct the inequities in the coverage, textbooks and teacher training.