The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Success in math is important to all students; it provides them with college and career options in the fields of science, technology, engineering, and mathematics. In the middle grades, students build upon the critical skills taught in elementary school and prepare for entry into algebra, which is considered a gateway to later achievement in school…

Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. They inform citizens about the nature of students' comprehension of the…

Research evidence suggests that summer breaks contribute to income-based achievement and opportunity gaps for children and youth. However, summertime can also be used to provide programs that support an array of goals for children and youth, including improved academic achievement, physical health, mental health, social and emotional well-being,…

As the 21st century's first decade draws to a close, America's public school students are participating in online academic classes in increasingly large numbers. More than one million K-12 public school students took online courses in the 2007-2008 school year, according to an estimate in a recent Sloan Consortium survey. This represents a 47…

This brief provides an update on the 2005 "CenterView" featuring 8th grade Algebra I (ED485345). It finds that not much has changed in three years with California middle school students still struggling in Algebra I and 32% of middle school math teachers lacking a subject matter credential in math. Because Algebra I is so critically…

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 California, the typical college-prep course sequence in math includes Algebra I, Geometry, and Algebra II. Students advance through these courses at different rates. A number of students proceed at a quick pace, with some completing Algebra II by the end of 10th grade and a few even earlier. At the other end of the spectrum, some students…

This book contributes to a growing body of research relevant to efforts to make algebra an integral part of early mathematics instruction, an area of studies that has come to be known as Early Algebra. It provides both a rationale for promoting algebraic reasoning in the elementary school curriculum and empirical data to support it. The authors…

Ensuring that students have a strong foundation in mathematics by the end of 7th grade is essential if they are to move successfully into an advanced math curriculum that begins with algebra. But student achievement at the end of 7th grade varies widely in California--and this has consequences. Some 7th graders are taking a full Algebra I course;…

This report reviews a study of the effects of "Saxon Algebra 1/2" on the mathematics achievement of 8th-grade students and a comparison of textbook content between the intervention and comparison curricula (Crawford & Raia, 1986). Crawford and Raia conducted three analyses with different subsets of the overall sample, but only one…

"Straight A's: Public Education Policy and Progress" is a biweekly newsletter that focuses on education news and events both in Washington, DC and around the country. The following articles are included in this issue: (1) "Setting the Stage for New High Schools": Alliance, National League of Cities Cohost Capitol Hill Briefing…

This report offers California college faculty a closer look at contextualized teaching and learning (CTL) as a promising set of strategies and practices that can be expanded through the state's Basic Skills Initiative. The report is relevant to a range of instructional and counseling faculty, including academic and career and technical education…

This course of study guide is designed to help teachers establish a continuity within the scope and sequence of their elementary school mathematics curriculum and to assist those teachers in formulating some realistic goals for themselves and their students. This guide delineates content requirements needed to satisfy K-8 proficiency expectations…

America's advantage has historically been its people's creativity, flexibility and entrepreneurship. But just as painters need to be proficient in technique and theory to produce great masterpieces, the next generation of Americans will likely require a solid grounding in mathematics and science for their creativity to be maximized in a world…