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Hierarchical Linear Modeling (HLM) Analysis of Student Growth in Secondary Education Mathematics: A School-Based Application of Growth Modeling |
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Abstract:
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In reaction to pressures from No Child Left Behind (NCLB) legislation to make adequate yearly progress (AYP) and increased awareness of the potential benefits of hierarchical linear modeling (HLM), an analysis of student growth in a large secondary education mathematics program was undertaken. The research questions and analyses examined: (a) whether there was significant variability across students’ mathematics achievement; (b) what the average rate of growth in mathematics achievement was; (c) if there was upward curvature to mathematics growth from 8th grade to 11th grade; and (d) whether there were significant differences between mathematics programs, gender, or high school buildings. Results indicated significant variability in mathematics achievement, significant average change in the upward rate of growth in mathematics achievement, no differences between programs or gender, and significant differences between buildings. Implications for the utility of HLM and growth modeling techniques are elaborated on in the context of real-world school settings. |
Most Common Document Word Stems:
growth (82), student (67), achiev (57), school (56), mathemat (54), model (53), grade (48), rate (47), status (37), score (34), base (31), 10th (30), time (29), initi (29), 1 (28), hlm (28), signific (28), quadrat (27), averag (25), level (24), valu (23), |
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Association:
Name: MWERA Annual Meeting URL: http://www.mwera.org
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Citation:
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MLA Citation:
| Wallace, Stephen. and Gavin, Kathleen. "Hierarchical Linear Modeling (HLM) Analysis of Student Growth in Secondary Education Mathematics: A School-Based Application of Growth Modeling" Paper presented at the annual meeting of the MWERA Annual Meeting, Westin Great Southern Hotel, Columbus, Ohio, Oct 15, 2008 <Not Available>. 2008-10-22 <http://www.allacademic.com/meta/p275478_index.html> |
APA Citation:
| Wallace, S. R. and Gavin, K. A. , 2008-10-15 "Hierarchical Linear Modeling (HLM) Analysis of Student Growth in Secondary Education Mathematics: A School-Based Application of Growth Modeling" Paper presented at the annual meeting of the MWERA Annual Meeting, Westin Great Southern Hotel, Columbus, Ohio Online <PDF>. 2008-10-22 from http://www.allacademic.com/meta/p275478_index.html |
Publication Type: Paper Presentation Abstract: In reaction to pressures from No Child Left Behind (NCLB) legislation to make adequate yearly progress (AYP) and increased awareness of the potential benefits of hierarchical linear modeling (HLM), an analysis of student growth in a large secondary education mathematics program was undertaken. The research questions and analyses examined: (a) whether there was significant variability across students’ mathematics achievement; (b) what the average rate of growth in mathematics achievement was; (c) if there was upward curvature to mathematics growth from 8th grade to 11th grade; and (d) whether there were significant differences between mathematics programs, gender, or high school buildings. Results indicated significant variability in mathematics achievement, significant average change in the upward rate of growth in mathematics achievement, no differences between programs or gender, and significant differences between buildings. Implications for the utility of HLM and growth modeling techniques are elaborated on in the context of real-world school settings. |
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| Document Type: |
PDF |
| Page count: |
22 |
| Word count: |
4575 |
| Text sample: |
| School-Based Application of HLM Objectives Goals or Purposes The purpose of the study was to apply hierarchical growth modeling in a real- world setting in order to determine if significant growth in mathematics achievement has occurred in a high school district that fails to meet adequate yearly progress (AYP). Based upon the 2007 AYP Report the district was not making AYP in mathematics its Federal Improvement Status was “corrective action” and its State Improvement Status was “academic watch status.” |
| -3.129 0.002 D4 β26 0.999 0.133 0.750 0.453 Variance p Random Effect Component df χ2 Value Initial status r0i 15.901 1818 24612.158 0.000 2506.9528 Growth rate r1i 0.059 1818 1 0.000 Level-1 error eti 3.984 Reliability of OLS Regression Coefficient Estimate Initial status π0i 0.916 Growth rate π1i 0.244 21 School-Based Application of HLM 22 |
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