Students struggling with mathematics may benefit from early interventions aimed at improving their mathematics ability and ultimately preventing subsequent failure. This guide provides eight specific recommendations intended to help teachers, principals, and school administrators use Response to Intervention (RtI) to identify students who need…

An important message teachers convey to their students is that mathematics is founded on reasoning and is not just a collection of rules to apply. Many mathematical rules such as area formulas can be derived in ways that are age-appropriate to students, and it is an important part of mathematics education that students engage in these derivations…

The "Connected Mathematics Project" ("CMP)" is a problem-centered mathematics curriculum designed for all students in grades 6-8. Each grade level of the curriculum is a full-year program and covers numbers, algebra, geometry/measurement, probability, and statistics. The program seeks to make connections within mathematics,…

The end of 7th grade provides an important moment to assess how prepared California's students are to succeed in the more advanced math curriculum that starts with algebra. At a minimum, all California students are required to successfully pass Algebra I in order to receive a high school diploma. But Algebra I also functions as the gateway to more…

In mathematics education, a vast amount of research has shown that students of different ages have a strong tendency to apply linear or proportional models anywhere, even in situations where they are not applicable. For example, in geometry it is known that many students believe that if the sides of a figure are doubled, the area is doubled too.…

The purpose of this qualitative case study was to determine the effect of lesson study on teachers' mathematical understanding. This study reviewed a three year program called SEISMIC which implemented lesson study within a school district. The goal was to increase teacher and student understanding of mathematics' Teacher understanding of…

In education, there is an increasing emphasis on the use of data in schools. Data are reported on academic achievement in school report cards each year. Administrators use data for curricular and evaluative purposes. Teachers are provided with data to improve their pedagogy. All of this data is based on student academic performance; however,…

This comprehensive book offers a practical pathway for developing twenty-first-century skills while simultaneously strengthening content-area learning. "Digital Learning" contains a wealth of research-based practices to integrate the International Society for Technology in Education (ISTE) National Education Technology Standards (NETS) for both…

This article reports an alternative approach, called the combinatorial model, to learning multiplicative identities, and investigates the effects of implementing results for this alternative approach. Based on realistic mathematics education theory, the new instructional materials or modules of the new approach were developed by the authors. From…

On March 13, 2008, the National Mathematics Advisory Panel submitted its Final Report to the President of the United States and the Secretary of Education, and it was officially released to the public on that date, as well. The Panel agrees that the delivery system in mathematics education--the system that translates mathematical knowledge into…

In 2000, Gayle Andrews and this author published "Turning Points 2000: Educating Adolescents in the 21st Century," in which they summarized their analysis of the conditions of middle grades education at the turn of the century. Now, nearly a decade later, what is the state of middle grades education? On the one hand, federal mandates…

This article examines a classroom discussion of multiple interpretations of the scales on two distance versus time graphs. The analysis describes how two students and a teacher used multiple meanings for phrases of the form "I went by" and coordinated these meanings with different views of the scales. Students' ambiguous and shifting meanings did…

This experiment illustrates how the effective use of a technology treatment integrated into pre-algebra curricula can help students achieve on the New Jersey Standardized Grade 8 Proficiency Assessment (GEPA). The researcher obtained data by comparing a treatment group to a control group; the first group was given a weekly 44-minute-long…

An understanding of Algebra I and the role that this foundational course plays as an entry to the college preparatory pathway in secondary education and its influence on mathematical achievement is an integral component for the education of American youth in the global world of science and technology. Achievements in high school curricula are…

The latest release of scores from the National Assessment of Educational Progress (NAEP) provides no evidence for the effectiveness of the federal No Child Left Behind (NCLB) Act. In long-term trends, the achievement gap between white and minority students has hardly budged over the past decade. Congress should get rid of No Child Left Behind…