To understand relationships between students' fractional knowledge and algebraic reasoning in the domain of equation writing, an interview study was conducted with 12 secondary school students, 6 students operating with each of 2 different multiplicative concepts. These concepts are based on how students coordinate composite units. Students…

In introductory algebra and later mathematics courses, students seem to struggle with the concepts of like terms and combining like terms with algebraic expressions. These ideas appear to be unfamiliar to students and do not seem to relate to any mathematics that they have done in the past. In an attempt to link with something that the students do…

Digital books or e-books have revolutionized the way we access books and information. Students no longer spend hours paging through books at the library to gather information in order to write a paper. Now, they turn to a computer, tablet, or other mobile devices and search the Web. As we continue into the twenty first century, schools are being…

All the nations of the world are embracing technological innovations and integrating them into their educational systems for advancement and development. The use of Information and Communication Technology (ICT) in mathematics teachers' training has been verified to ascertain if it will serve as a catalyst for change in the teaching and learning…

Research about teacher noticing of students' mathematical thinking has been an important and ongoing strand of research and practice in mathematics education. Our work extends this agenda by working collaboratively with teachers to learn together how to notice students' mathematical strengths. The lens on strengths runs counter to the prevalent…

This paper examines the returns to math courses relative to those in courses in other subjects for students who started their postsecondary education at community college. The limited available evidence presumes that college-level math is valuable in the labor market relative to other coursework. Using data on college transcript and earnings from…

As part of a study examining how teachers in Singapore select and use examples for teaching mathematics, 121 teachers from 24 secondary schools responded to three open-ended questions about the use of examples in teaching. The results show that students' abilities and the difficulty level of the examples were among the topmost considerations…

This book represents a crop of wide-ranging research conducted by renown scholars in sub-Sahara Africa revolving around mathematics teaching and professional development programs for mathematics teachers. The research-based proposals and actual how-to-conduct professional development initiatives that enhance effective mathematics instruction are…

Algebra is critical to high school graduation and college success, but student achievement in algebra frequently falls significantly below expected proficiency levels. While existing research emphasizes the importance of quality algebra instruction, there is little research about how to conduct problem analysis for struggling secondary students.…

Mathematics teacher education programs often need to respond to changing expectations and standards for K-12 curriculum and accreditation. New standards for high school mathematics in the United States include a strong emphasis in statistics. This article reports results from a mixed methods cross-institutional study examining the preparedness of…

This article discusses the relationship between policy, research, and program development in mathematics teacher education. In particular, it considers the influences of policy and research along with social, economic, and cultural factors in the conceptualization and development of an undergraduate mathematics teacher education program in…

Studies on blended education pay little attention to implementation, thus limiting the understanding of how such programs contribute to student math learning. This article examines the implementation of a widely used blended algebra curriculum and the relationship between implementation and student outcomes. The study was conducted in 74 middle…

In recent years, student surveys have played an increasingly large role in educational research, policy making, and, particularly, accountability efforts. However, research on the accuracy of students' self-reports about themselves and their education is limited to analyses of overall grade point average and ACT/SAT standardized test scores. Using…

We present results of the analysis of knowledge used by a secondary school mathematics teacher in her classroom practice. This knowledge takes shape and is displayed as specific teaching strategies in the management of her class when she incorporates Computer Algebra Systems. Based on observations of regular classes, we find that her knowledge…

"How Much Can You Bench?" appears in the "Mathematical Lens" section of "Mathematics Teacher." "Mathematical Lens" uses photographs as a springboard for mathematical inquiry and appears in every issue of "Mathematics Teacher." This month the mathematics behind the photograph includes finding areas…