Through the qualitative interviews of five implementers of primary school mathematics curriculum, this study addresses the ways in which mathematics lessons are evaluated. Results show that each evaluator recognizes different aspects of a "good lesson," however, among all criteria, the design of the lesson plan, realization of the lesson…

This paper discusses an approach to mathematics education based on the concept of ethical responsibility. It argues that an ethical approach to mathematics teaching lays the theoretical foundations for social justice concerns in the discipline. The paper develops a particular understanding of ethical responsibility based on the writings of Emanuel…

This paper presents an investigation by pre-service secondary school teachers in a geometry class of the relationship between the perpendicular distance from the eyeball to the wall (x) and the viewable vertical distance on the wall (y) using a view tube of constant length and diameter. In undertaking the investigation, students used tabular and…

When one reads scholars from the past, many of the same problems found in schools in 2009 are quite similar to the problems educators were complaining about more than a century ago. One of the current controversial topics in schools today, for example, is student success, or lack thereof, in mathematics. Because of differences in mathematics…

This study analyzes measurement learning expectations involving area and volume in grades 1-8 across several U.S. states and high-performing TIMSS Asian countries, including Singapore, Taiwan, and Japan. Based on a review of official curriculum documents, results of this study indicate that the mathematics content, grade placement, and cognitive…

The selection of K-12 mathematics curricula has become a polarizing issue for schools, teachers, parents, and other educators and has raised important questions about the long-term influence of these curricula. This study examined the impact of participation in either a National Science Foundation-funded or commercially developed mathematics…

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. A total of 7,752 science and mathematics teachers in schools across the United…

This appendix provides the details that underlie the analyses reported in the evaluation brief, "After Two Years, Three Elementary Math Curricula Outperform a Fourth." The details are organized in six sections: Study Curricula and Design (Section A), Data Collection (Section B), Construction of the Analysis File (Section C), Curriculum…

Now that most states have adopted the new Common Core State Standards, the next major challenge is to simplify and implement them by 2014. That is why it is important to begin this work now. Joe Crawford, Milken Award-winning educator and author of "Using Power Standards to Build an Aligned Curriculum", shares his proven process for…

This article provides an overview of the role that interdisciplinarity plays in the Spanish education system. With this aim, we first describe the main conception of the term "interdisciplinarity" in texts written in Spanish, including other terms that have similar meaning. Then we review the role of interdisciplinarity in the Spanish…

Methods courses in teacher education programs often stress the importance of planning and preparation. However, there is no real substitute for experience and ongoing professional development; learning for a mathematics teacher is a continuous endeavor. While university coursework is helpful, the preparation for planning discussed in this…

This longitudinal study tracks primary participants over 3 years from their last year of university preservice teaching training through their second year of in-service teaching via surveys, interviews, and teaching observations. The study employs a descriptive case study design to examine the transfer of preservice content, pedagogy, and video…

Cantor's diagonal proof that the set of real numbers is uncountable is one of the most famous arguments in modern mathematics. Mathematics students usually see this proof somewhere in their undergraduate experience, but it is rarely a part of the mathematical curriculum of students of the fine arts or humanities. This note describes contexts that…

This study examined the mathematics beliefs of students who attained mastery, as indicated by earning an A, in their introductory math class in fall, 2008. This study addressed the following research questions: do students who attain mastery in introductory college math courses differ in their math beliefs from students who pass introductory math…

At the heart of the recent focus on mathematics has been an increased emphasis on developing students' "number sense." Ironically, although growing as a force in the education literature, number sense has not been clearly defined for teachers. Teachers need specific support in understanding how to develop number sense in students, to…