Rigor and Relevance: Enhancing High School Students’ Math Skills Through Career and Technical Education

Numerous high school students, including many who are enrolled in career and technical education (CTE) courses, do not have the math skills necessary for today’s high-skill workplace or college entrance requirements. This study tests a model for enhancing mathematics instruction in five high school CTE programs (agriculture, auto technology, business and marketing, health, and information technology). The model includes a pedagogy and intense teacher professional development. Volunteer CTE teachers were randomly assigned to an experimental (n = 59) or control (n = 78) group. The experimental teachers worked with math teachers to develop CTE instructional activities that integrated more mathematics into the occupational curriculum. After 1 year of the math-enhanced CTE lessons, students in the experimental classrooms performed equally on technical skills and significantly better than control students on two standardized tests of math ability (TerraNova and ACCUPLACER®).

[1]  Cecelia Thompson,et al.  Learning styles of postsecondary students enrolled in vocational technical institutes , 1999 .

[2]  K. Magnuson,et al.  Early Childhood Care and Education: Effects on Ethnic and Racial Gaps in School Readiness , 2005, The Future of children.

[3]  Etienne Wenger,et al.  Communities of practice: A brief introduction , 2009 .

[4]  Public High School Graduates Who Participated in Vocational/Technical Education: 1982-1998 , 2003 .

[5]  Cynthia E. Glidden How to Design and Evaluate Research in Education (2nd ed.). , 1993 .

[6]  Catherine Lewis,et al.  How Should Research Contribute to Instructional Improvement? The Case of Lesson Study , 2006 .

[7]  Chris Miller,et al.  Meaningful urban education reform: Confronting the learning crisis in mathematics and science , 2006 .

[8]  J. Boaler Encouraging the transfer of ‘school’ mathematics to the ‘real world’ through the integration of process and content, context and culture , 1993 .

[9]  Anthony S. Bryk,et al.  Hierarchical Linear Models: Applications and Data Analysis Methods , 1992 .

[10]  Stephen B. Plank Career and Technical Education in the Balance: An Analysis of High School Persistence, Academic Achievement, and Postsecondary Destinations. , 2001 .

[11]  Karen B Givvin,et al.  Mathematics Teaching in the United States Today (and Tomorrow): Results from the TIMSS 1999 Video Study , 2006 .

[12]  Judith D. Singer,et al.  Using SAS PROC MIXED to Fit Multilevel Models, Hierarchical Models, and Individual Growth Models , 1998 .

[13]  T. Cook Randomized Experiments in Educational Policy Research: A Critical Examination of the Reasons the Educational Evaluation Community has Offered for not Doing Them , 2002 .

[14]  A. Collins,et al.  Situated Cognition and the Culture of Learning , 1989 .

[15]  Phillip C. Schlechty Inventing Better Schools: An Action Plan for Educational Reform , 1997 .

[16]  최영한,et al.  미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론 , 2002 .

[17]  M Kalantzis,et al.  The conditions of learning , 2005 .

[18]  The Real Truth about Low Graduation Rates, An Evidence-Based Commentary. , 2004 .

[19]  Jonathan L. Brendefur,et al.  Developing Authentic, Integrated, Standards-Based Mathematics Curriculum: [More than Just] An Interdisciplinary Collaborative Approach. , 2003 .

[20]  Douglas A. Grouws,et al.  Handbook of research on mathematics teaching and learning , 1992 .

[21]  D. Pearson,et al.  Sustaining the Impact: A Follow-Up of the Teachers Who Participated in the Math-in-CTE Study. , 2007 .

[22]  Anthony Lutkus,et al.  The Nation's Report Card. NAEP 2004 Trends in Academic Progress: Three Decades of Student Performance in Reading, 1971-2004 and Mathematics, 1973-2004. NCES 2005?464. , 2005 .

[23]  Norman E. Wallen,et al.  How to Design and Evaluate Research in Education , 1990 .

[24]  Daniel L. Schwartz,et al.  Rethinking transfer: A simple proposal with multiple implica-tions , 1999 .

[25]  Daniel L. Schwartz,et al.  Chapter 3: Rethinking Transfer: A Simple Proposal With Multiple Implications , 1999 .

[26]  P. Donahue,et al.  The Nation's Report Card[TM]: 12th-Grade Reading and Mathematics, 2005. NCES 2007-468. , 2007 .

[27]  Heather C. Hill,et al.  Effects of Teachers’ Mathematical Knowledge for Teaching on Student Achievement , 2005 .

[28]  J. Sanden,et al.  Learning styles in secondary vocational education : disciplinary differences , 1999 .

[29]  Etienne Wenger,et al.  Situated Learning: Legitimate Peripheral Participation , 1991 .

[30]  Ben Dalton,et al.  Advanced Mathematics and Science Coursetaking in the Spring High School Senior Classes of 1982, 1992, and 2004. Statistical Analysis Report. NCES 2007-312. , 2007 .

[31]  Jo Boaler,et al.  Alternative Approaches to Teaching, Learning and Assessing Mathematics. , 1998 .

[32]  J. Lave Cognition in Practice: Outdoors: a social anthropology of cognition in practice , 1988 .

[33]  E. Rogers New Product Adoption and Diffusion , 1976 .

[34]  David M. Murray,et al.  Design and Analysis of Group- Randomized Trials , 1998 .

[35]  James R. Stone,et al.  Building Academic Skills in Context: Testing the Value of Enhanced Math Learning in CTE. , 2005 .

[36]  Frank Gaeth,et al.  PISA (Programme for International Student Assessment) , 2005 .

[37]  Jennifer M. Bay Linking Problem Solving to Student Achievement in Mathematics: Issues and Outcomes. , 2000 .

[38]  Jan de Leeuw,et al.  Introducing Multilevel Modeling , 1998 .

[39]  S. Ham,et al.  Getting to the Right Algebra: The Equity 2000 Initiative in Milwaukee Public Schools. MDRC Working Papers. , 1999 .

[40]  Carolyn Kieran The learning and teaching of school algebra. , 1992 .

[41]  Basmat Parsad,et al.  Remedial Education at Degree-Granting Postsecondary Institutions in Fall 2000. Statistical Analysis Report. , 2003 .

[42]  N. Charness,et al.  Expert Performance Its Structure and Acquisition , 2002 .

[43]  Carolyn Kieran Mathematics and Cognition: Cognitive Processes Involved in Learning School Algebra , 1990 .

[44]  E. Rogers,et al.  Diffusion of innovations , 1964, Encyclopedia of Sport Management.

[45]  Beatriz Chu Clewell,et al.  REVIEW OF EVALUATION STUDIES OF MATHEMATICS AND SCIENCE CURRICULA AND PROFESSIONAL DEVELOPMENT MODELS , 2004 .

[46]  J. Wilting,et al.  The freedom to learn. , 1974, Nursing papers. Perspectives en nursing.

[47]  Lynn S. Fuchs,et al.  Explicitly Teaching for Transfer: Effects on Third-Grade Students' Mathematical Problem Solving. , 2003 .

[48]  Jeremy Kilpatrick,et al.  Mathematics and cognition : a research synthesis by the International Group for the Psychology of Mathematics Education , 1990 .

[49]  A. Su,et al.  The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.

[50]  E. Pellicer Anchored Instruction and Its Relationship to Situated Cognition , 1990 .

[51]  M. Montague,et al.  Meeting the challenge of mathematics reform for students with learning disabilities , 2002 .

[52]  Ann L. Brown,et al.  How people learn: Brain, mind, experience, and school. , 1999 .