An Examination of Algebra for All through Historic Context and Statewide Assessment Data

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

[1]  Edward H. Haertel,et al.  Improving Middle Grades Math Performance: A Closer Look at District and School Policies and Practices, Course Placements, and Student Outcomes in California. Follow-Up Analysis. , 2011 .

[2]  Luis C. Moll,et al.  Funds of knowledge: Theorizing practices in households, communities, and classrooms , 2005 .

[3]  J. Goodlad,et al.  Looking behind the classroom door;: A useful guide to observing schools in action , 1974 .

[4]  Helen F. Ladd,et al.  The Aftermath of Accelerating Algebra: Evidence from a District Policy Initiative , 2012 .

[5]  Excellence In Education A Nation at Risk: The Imperative for Educational Reform , 2013 .

[6]  D. Mclaughlin NELS:88 Survey Item Evaluation Report. Technical/Methodology Report. , 1997 .

[7]  Thomas J. Cooney The Issue of Reform: What Have We Learned from Yesteryear?. , 1988 .

[8]  Jian-Hua Liang Linking eighth- and ninth-grade algebra success to key variables of prior mathematics knowledge and skills: A predictive and comparative analysis , 2009 .

[9]  Erik W. Robelen Calif. Laws Shift Gears on Algebra, Textbooks. , 2012 .

[10]  John E. Jones,et al.  On the Risk of Appraising Non-Events in Program Evaluation , 1973 .

[11]  N. Nasir,et al.  Identity, Goals, and Learning: Mathematics in Cultural Practice , 2002 .

[12]  John D. Bransford,et al.  New Assessments and Environments for Knowledge Building , 2012 .

[13]  W. M. Aikin The story of the eight-year study : with conclusions and recommendations , 1942 .

[14]  R. Siegler,et al.  Early Predictors of High School Mathematics Achievement , 2012, Psychological science.

[15]  Barbara Schneider,et al.  Sequences of opportunities for learning , 1994 .

[16]  T. Nomi,et al.  College-Preparatory Curriculum for All: The Consequences of Raising Mathematics Graduation Requirements on Students' Course Taking and Outcomes in Chicago. , 2009 .

[17]  Y. Solomon,et al.  Dealing with ‘fragile identities’: resistance and refiguring in women mathematics students , 2011 .

[18]  Robert B. Davis The Task of Improving Mathematics Classrooms: A Reply to Schofield, Eurich-Fulcer, and Britt , 1994 .

[19]  R. Gagne Learning and proficiency in mathematics , 1963 .

[20]  Donald Joseph Taylor,et al.  Outcomes of Placing Low Performing Eighth Grade Students in Algebra Content Courses , 2011 .

[21]  Thomas A. Romberg,et al.  Chapter 2 The scholarly basis of the school mathematics reform movement in the united states , 1992 .

[22]  Mieko Kamii,et al.  The Algebra Project: Organizing in the Spirit of Ella , 1989 .

[23]  George M. A. Stanic,et al.  Chapter 1 Mathematics curriculum reform in the united states: A historical perspective , 1992 .

[24]  Jean Piaget,et al.  Psychogenesis and the History of Science , 1988 .

[25]  Robert Bozick,et al.  Mathematics Coursetaking and Achievement at the End of High School: Evidence from the Education Longitudinal Study of 2002 (ELS:2002). Statistical Analysis Report. NCES 2008-319. , 2007 .

[26]  Paul E. Heckman,et al.  What Do the California Standards Test Results Reveal About the Movement Toward Eighth-Grade Algebra for All? , 2012 .

[27]  Frances R. Spielhagen Closing the Achievement Gap in Math: The Long-Term Effects of Eighth-Grade Algebra , 2006 .

[28]  J. Oakes,et al.  Matchmaking: The Dynamics of High School Tracking Decisions , 1995 .

[29]  Edd V. Taylor,et al.  Culture and Mathematics in School: Boundaries Between “Cultural” and “Domain” Knowledge in the Mathematics Classroom and Beyond , 2008 .

[30]  James A. Middleton,et al.  Motivation for Achievement in Mathematics: Findings, Generalizations, and Criticisms of the Research , 1999 .

[31]  Jeannie Oakes,et al.  Multiplying Inequalities: The Effects of Race, Social Class, and Tracking on Opportunities to Learn Mathematics and Science , 1990 .

[32]  J. Oakes,et al.  Keeping Track: How Schools Structure Inequality. , 1986 .

[33]  G. Heppel Algebra in Schools , 1895 .

[34]  Adam Gamoran,et al.  Algebra for Everyone? Benefits of College-Preparatory Mathematics for Students With Diverse Abilities in Early Secondary School , 2000 .

[35]  Tracey Lavette Keck-Staley The Role of Human Resource Capital of Black and Latino Middle Schoolers' Mathematics Identities , 2010 .

[36]  Douglas T. Owens,et al.  The "New New Math"?: Two Reform Movements in Mathematics Education , 2001 .

[37]  P. Johnson What Knowledge is of Most Worth , 2010 .

[38]  Tom Loveless,et al.  The Misplaced Math Student: Lost in Eighth-Grade Algebra. The 2008 Brown Center Report on American Education. Special Release. , 2008 .

[39]  J. Hiebert Relationships between research and the NCTM standards , 1999 .

[40]  M. MacGregor,et al.  An exploration of aspects of language proficiency and Algebra learning , 1999 .

[41]  D. Chamberlin,et al.  Did they succeed in college ? : the follow-up study of the graduates of the thirty schools , 1942 .

[42]  Xu Jin,et al.  "Mathematics Equals Opportunity":A Study of the Equity of Mathematics Education in U.S.Elementary and Secondary Education , 2012 .

[43]  P. Thompson On Professional Judgment and the National Mathematics Advisory Panel Report: Curricular Content , 2008 .

[44]  Heather L. Rouse,et al.  Behavior Problems in Learning Activities and Social Interactions in Head Start Classrooms and Early Reading, Mathematics, and Approaches to Learning , 2011 .

[45]  Larry Cuban,et al.  Tinkering toward Utopia: A Century of Public School Reform. , 1996 .

[46]  The Algebra Project: Making Middle School Mathematics Count. , 1990 .

[47]  Julia Smith,et al.  Does an Extra Year Make Any Difference? The Impact of Early Access to Algebra on Long-Term Gains in Mathematics Attainment , 1996 .

[48]  N. Enzer,et al.  Psychogenesis and the History of Science , 1990 .

[49]  Paul E. Heckman,et al.  School Reform: The Flatworm in a Flat World: From Entropy to Renewal through Indigenous Invention , 2009, Teachers College Record: The Voice of Scholarship in Education.

[50]  Paul Cobb,et al.  A Relational Perspective on Issues of Cultural Diversity and Equity as They Play Out in the Mathematics Classroom , 2002 .