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This study examines the power of cognitive and noncognitive variables to predict students’ performance in algebra. We investigated students’ prior year’s assessment scores and demographic characteristics to predict eighth-grade algebra scores. Using California statewide assessment data, we explored predictive factors in three regression models. These analyses reveal that the seventh-grade mathematics test scores account for 61% of the variance in eighth graders’ algebra test scores. Analyzing subscores of the seventh-grade mathematics test, the assessment content focus of rational numbers is a major predictor, contributing 48% of the variance in eighth graders’ algebra test scores. On the other hand, students’ demographic variables show little predictive power for eighth-grade algebra scores. This study provides empirical evidence for understanding the factors that impact a student’s success in learning algebra.

In California, an increasing number of 8th graders have taken algebra courses since 2003. This study examines students’ California Standards Test (CST) results in grades 7 through 11, aiming to reveal who took the CST for Algebra I in 8th grade and whether the increase has led to a rise in students’ taking higher-level mathematics CSTs and an improved performance in following years. Results show that the pipeline of 8th-grade algebra and following years’ higher-level mathematics CSTs has a significant leak in it. Furthermore, the longitudinal analysis reveals that 9th-grade students have a 69% greater chance of succeeding in algebra if they passed the CST for General Mathematics in 8th grade compared to those who failed the CST for Algebra I.

Since 2003, California has enacted a policy through its education accountability system that encourages schools and districts to place all 8th grade students into algebra courses and therefore, be tested in algebra in the statewide assessment program. Ten years later, there are a great many more 8th graders taking algebra now. However, there are also many students repeating algebra, instead of going on taking higher level mathematics tests. This article aims to provide the historic context of this policy, previous and recent studies on 8th grade algebra, and our study based on the California Standardized Testing and Reporting (STAR) data. We analyzed 8th grade algebra test-taking and the following years� higher level mathematics test-taking to examine the college preparation course taking pipeline. Our longitudinal study compared two groups of students� performance on 9th grade algebra between those who previously scored below proficient on algebra at 8th grade and those who scored proficient or above on general mathematics at 8th grade. Further, another longitudinal study linked 7th grade mathematics sub-scores to 8th grade algebra achievement. The results show that �algebra for all� policy increased the number of students taking algebra at 8th grade and subsequently, taking higher level mathematics tests. However, the pipeline of the college preparation course taking has a significant leak because the number of students taking higher level mathematics decreased dramatically after algebra. Longitudinal study shows that students who pass the general mathematics test at 8th grade have a 69% greater chance to pass the algebra test at 9th grade compared to their peers who failed the algebra test at 8th grade. We also find that the sub-score rational numbers is a strong predictor of 8th grade algebra achievement. Alternatives to help all students achieve in mathematics learning are also discussed in addition to recommendations for future research.

LA's BEST reflects on how its values-based program-delivery design positively affects youth development.

Background/Context Current research on learning, organizational change, and the context of the 21st century yields insight into the needed fundamental reforms in our educational learning environments. Despite these new insights, schooling and school reform in the 21st century continue to be grounded in ideas based on the industrial model of the 20th century. Reform efforts in today's No Child Left Behind environment reify static ideas about schooling, resulting in organizational entropy. Purpose In this article, we compare current schooling practices and reform efforts to the mechanistic industrial model and illustrate why this paradigm is no longer sufficient in this “flat world.” Schooling and school reform in the 21st century continue to be approached as if these are a flatworm capable replicating itself. We argue that a new paradigm is needed— one that builds on current knowledge and human resources, one that is created by those who work and live in a school or community—which we have called Indigenous Invention. Research Design Indigenous Invention grows from new conceptions of learning, cognition, and development, and our work in schools and communities during the past 16 years. Examples of Indigenous Invention presented here come from a much larger case study and long-term action research project in five urban schools and communities. Conclusion/Recommendations Three areas are presented. First, we examine ideas that currently guide schooling practices and explore why these ideas have resulted in a decline of educational organizational vitality and are no longer sufficient for our in-school, after-school, and preschool programs. We suggest using new knowledge about human learning, cognition, and development to bring organizational energy and renewal to educational institutions. Second, the power of this new knowledge will not be realized with conventional school change models that urge fidelity in implementing packages and procedures developed far away from the school and its neighborhood. Replication may work for the flatworm. It does not work in complex systems like educational institutions. Third, we present the process of Indigenous Invention as one that holds promise in moving our schools from entropy to renewal.

In recent years, there has been general recognition of the need for changes in the public school system, and various reform efforts have been—and are currently—under way throughout the country. We describe here two processes or strategies used in these change efforts. First is the historical and current use of the implementation-of-innovations process and its failure to promote sufficient school change for all children—especially those in low-income areas—to achieve and be successful. The second is “indigenous invention,” a strategy supported by evidence of changes in elementary schools participating in the foundation-funded school-change effort known as the Educational and Community Change (ECC) Project. The indigenous-invention process acknowledges that those indigenous to the school and neighborhood can bring about changes in schools that will engage the children and promote learning, and have the potential to decrease the school dropout rate.

The renewal or reform of public schools and their communities calls for a moral democratic concept of leadership, which includes the principles and practices of caring, trust, social justice and collaborative inquiry. In contrast to the bureaucratic concept of leadership that has prevailed in public schools and placed a few people in leadership roles, a democratic concept involves everyone and requires the development of leadership skills in teachers, school administrators, students, parents and neighborhood residents. Such a concept can best be served by a merger of teacher and administrator preparation programs, so that future teachers may develop as leaders as well as followers, and future administrators may develop as followers as well as leaders. In such a merger, there must be community and school forums in which preservice teachers and administrators may practice for their future roles and extend the democratic concept of leadership to students, parents, and neighborhood residents. Efforts of one eight-year school and community change initiative, which is now in its sixth year, indicate the type of forum that might effectively serve this need.