TIMSS 2011 The TIMSS 2011 Students Engaged in Mathematics Lessons Scale, Fourth Grade
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1 TIMSS 2011 The TIMSS 2011 Students Engaged in Mathematics Lessons Scale, Fourth Grade The Students Engaged in Mathematics Lessons (EML) scale was created based on students degree of agreement with the five statements described below. See Creating and Interpreting TIMSS and PIRLS 2011 Context Questionnaire Scales for more information on how the scales were formed. Exhibit 1: Items in the TIMSS 2011 Students Engaged in Mathematics Lessons Scale, Fourth Grade How much do you agree with these statements about your mathematics lessons? Agree Agree Disagree Disagree a lot a little a little a lot ASBM02A ASBM02B* ASBM02C ASBM02D ASBM02E 1) I know what my teacher expects me to do A A A A 2) I think of things not related to the lesson* A A A A 3) My teacher is easy to understand A A A A 4) I am interested in what my teacher says A A A A 5) My teacher gives me interesting things to do A A A A * Reverse coded Engaged Somewhat Engaged Not Engaged Exhibit 2: Item Parameters for the TIMSS 2011 Students Engaged in Mathematics Lessons Scale, Fourth Grade Item delta tau_1 tau_2 tau_3 ASBM02A ASBM02B* ASBM02C ASBM02D ASBM02E *Reverse coded
2 Exhibit 3: Scale Transformation Constants Scale Transformation Constants A = B = Transformed Scale Score = Logit Scale Score Exhibit 4: Equivalence Table of the Raw Score and the Transformed Scale Score Raw Score Transformed Scale Score Cutpoint Raw Score Transformed Scale Score Cutpoint Exhibit 5: Cronbach s Alpha Reliability Coefficient and Principal Components Analysis of the Items in the TIMSS 2011 Students Engaged in Mathematics Lessons Scale, Fourth Grade Cronbach s Alpha Reliability Coefficient Percent of Variance Explained Factor Loadings for Each Item ASBM02A ASBM02B* ASBM02C ASBM02D ASBM02E Armenia Australia Austria Azerbaijan Bahrain Belgium (Flemish) Chile Chinese Taipei Croatia Czech Republic Denmark England Finland Georgia Germany Hong Kong SAR Hungary Iran, Islamic Rep. of Ireland Italy Japan Kazakhstan
3 Exhibit 5: Cronbach s Alpha Reliability Coefficient and Principal Components Analysis of the Items in the TIMSS 2011 Students Engaged in Mathematics Lessons Scale, Fourth Grade (Continued) Cronbach s Alpha Reliability Coefficient Percent of Variance Explained Factor Loadings for Each Item ASBM02A ASBM02B* ASBM02C ASBM02D ASBM02E Korea, Rep. of Kuwait Lithuania Malta Morocco Netherlands New Zealand Northern Ireland Norway Oman Poland Portugal Qatar Romania Russian Federation Saudi Arabia Serbia Singapore Slovak Republic Slovenia Spain Sweden Thailand Tunisia Turkey United Arab Emirates United States Yemen Sixth Grade Participants Botswana Honduras Yemen Benchmarking Participants Alberta, Canada Ontario, Canada Quebec, Canada Abu Dhabi, UAE Dubai, UAE Florida, US North Carolina, US *Reverse coded.
4 Exhibit 6: Relationship Between the TIMSS 2011 Students Engaged in Mathematics Lessons Scale, Fourth Grade, and TIMSS 2011 Mathematics Achievement Pearson s Correlation with Mathematics Achievement (r) (r 2 ) Variance in Mathematics Achievement Accounted for by Difference Between Regions of the Scale (η 2 ) Armenia Australia Austria Azerbaijan Bahrain Belgium (Flemish) Chile Chinese Taipei Croatia Czech Republic Denmark England Finland Georgia Germany Hong Kong SAR Hungary Iran, Islamic Rep. of Ireland Italy Japan Kazakhstan Korea, Rep. of Kuwait Lithuania Malta Morocco Netherlands New Zealand Northern Ireland Norway Oman Poland Portugal Qatar Romania Russian Federation Saudi Arabia
5 Exhibit 6: Relationship Between the TIMSS 2011 Students Engaged in Mathematics Lessons Scale, Fourth Grade, and TIMSS 2011 Mathematics Achievement (Continued) Pearson s Correlation with Mathematics Achievement (r) (r 2 ) Variance in Mathematics Achievement Accounted for by Difference Between Regions of the Scale (η 2 ) Serbia Singapore Slovak Republic Slovenia Spain Sweden Thailand Tunisia Turkey United Arab Emirates United States Yemen International Median Sixth Grade Participants Botswana Honduras Yemen Benchmarking Participants Alberta, Canada Ontario, Canada Quebec, Canada Abu Dhabi, UAE Dubai, UAE Florida, US North Carolina, US
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