A Pair-Wise Analysis of the Cognitive Demand Levels of Mathematical Tasks Used During Classroom Instruction and Those Assigned for Homework

REFERENCES

• Adler , J. 1999 . The dilemma of transparency: Seeing and seeing through talk in the mathematics classroom . Journal for Research in Mathematics Education , 30 ( 1 ) : 47 – 64 .
   Web of Science ®Google Scholar
• Adler , J. and Davis , Z. 2006 . Opening another black box: Researching mathematics for teaching in mathematics teacher education . Journal for Research in Mathematics Education , 37 ( 4 ) : 270 – 296 .
   Web of Science ®Google Scholar
• Ball , D. , Bass , H. , Sleep , L. and Thames , M. Paper presented at the Fifteenth ICMI Study: The Professional Education and Development of Teachers of Mathematics Aguas de Lindóia, Brazil. A theory of mathematical knowledge for teaching ,
   Google Scholar
• Boaler , J. and Staples , M. 2008 . Creating mathematical futures through an equitable teaching approach: The case of Railside School . Teachers College Record , 110 ( 3 ) : 608 – 645 .
   Web of Science ®Google Scholar
• Boston , M. D. and Smith , M. S. 2009 . Transforming secondary mathematics teaching: Increasing the cognitive demands of instructional tasks used in teachers’ classrooms . Journal for Research in Mathematics Education , 40 ( 2 ) : 119 – 156 .
   Web of Science ®Google Scholar
• Cancio , E. J. , West , R. P. and Young , K. R. 2004 . Improving mathematics homework completion and accuracy of students with EBD through self-management and parent participation . Journal of Emotional & Behavioral Disorders , 12 ( 1 ) : 9 – 22 .
   Web of Science ®Google Scholar
• Cooper , H. , Robinson , J. C. and Patall , E. A. 2006 . Does homework improve academic achievement? A synthesis of research, 1987–2003 . Review of Educational Research , 76 ( 1 ) : 1 – 62 .
   Web of Science ®Google Scholar
• Dettmers , S. , Trautwein , U. and Lüdtke , O. 2009 . The relationship between homework time and achievement is not universal: evidence from multilevel analyses in 40 countries . School Effectiveness & School Improvement , 20 ( 4 ) : 375 – 405 .
   Web of Science ®Google Scholar
• Epstein , J. L. and Van Voorhis , F. L. 2001 . More than minutes: Teachers’ roles in designing homework . Educational Psychologist , 36 ( 3 ) : 181 – 193 .
   Web of Science ®Google Scholar
• Fife , S. R. 2009 . The relation of homework type to achievement and retention of students enrolled in intermediate algebra , Houston, TX : University of Houston .
   Google Scholar
• Hiebert , J. , Gallimore , R. , Garneir , H. , Bogard Givvin , K. , Hollingsworth , H. , Jacobs , J. and Stigler , J. 2004 . Teaching mathematics in seven countries: Results from the TIMSS 1999 video study (NCES 2003-13 Revised) , Washington, DC : U.S. Department of Education, National Center for Education Statistics .
   Google Scholar
• Hong , E. , Peng , Y. and Rowell , L. L. 2009 . Homework self-regulation: Grade, gender, and achievement-level differences . Learning & Individual Differences , 19 ( 2 ) : 269 – 276 .
   Web of Science ®Google Scholar
• Kang , W. and Kilpatrick , J. 1992 . Didactic transposition in mathematics textbooks . For the Learning of Mathematics , 12 ( 1 ) : 2 – 7 .
   Google Scholar
• Kodippili , A. and Senaratne , D. 2008 . Is computer-generated interactive mathematics homework more effective than traditional instructor-graded homework? . British Journal of Educational Technology , 39 ( 5 ) : 928 – 932 .
   Web of Science ®Google Scholar
• Kotsopoulos , D. and Lavigne , S. 2008 . Examining “mathematics for teaching” through an analysis of teachers’ perceptions of student “learning paths.” . International Electronic Journal of Mathematics Education , 3 ( 1 ) : 1 – 23 .
   Google Scholar
• Lithner , J. 2004 . Mathematical reasoning in calculus textbook exercises . Journal of Mathematical Behavior , 23 : 405 – 427 .
   Google Scholar
• Lloyd , G. M. 1999 . Two teachers’ conceptions of a reform-oriented curriculum: Implications for mathematics teacher development . Journal of Mathematics Teacher Education , 2 : 227 – 252 .
   Google Scholar
• Lloyd , G. M. and Wilson , M. S. 1998 . Supporting innovation: the impact of a teacher's conceptions of functions on his implementation of reform curriculum . Journal for Research in Mathematics Education , 29 ( 3 ) : 248 – 274 .
   Web of Science ®Google Scholar
• Mullis , I. V. S. , Martin , M. O. and Foy , P. 2008 . TIMSS 2007 international mathematics report: Findings from IEA's Trends in International Mathematics and Science Study at the fourth and eighth grades , Chestnut Hill, MA : TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College .
   Google Scholar
• Ontario Ministry of Education and Training . 2005 . The Ontario curriculum Grades 1–8 mathematics, revised , Toronto, , Canada : Queen's Printer for Ontario .
   Google Scholar
• Patall , E. A. , Cooper , H. and Robinson , J. C. 2008 . Parent involvement in homework: A research synthesis . Review of Educational Research , 78 ( 4 ) : 1039 – 1101 .
   Web of Science ®Google Scholar
• Pezdek , K. , Berry , T. and Renno , P. A. 2002 . Children's mathematics achievement: The role of parents’ perceptions and their involvement in homework . Journal of Educational Psychology , 94 ( 4 ) : 771
   Web of Science ®Google Scholar
• Remillard , J. T. 2000 . Can curricular materials support teachers’ learning? Two fourth-grade teacher's use of a new mathematics text . The Elementary School Journal , 100 ( 4 ) : 331 – 350 .
   Web of Science ®Google Scholar
• Remillard , J. T. and Bryans , M. B. 2004 . Teachers’ orientation toward mathematics curriculum materials: Implications for teacher learning . Journal for Research in Mathematics Education , 35 ( 5 ) : 352 – 388 .
   Web of Science ®Google Scholar
• Simplicio , J. S. C. 2005 . Homework in the 21st century: The antiquated and ineffectual implementation of a time honored educational strategy . Education , 126 ( 1 ) : 138 – 142 .
   Google Scholar
• Stein , M. K. , Grover , B. W. and Henningsen , M. 1996 . Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms . American Educational Research Journal , 33 ( 2 ) : 455 – 488 .
   Web of Science ®Google Scholar
• Stein , M. K. , Smith , M. S. , Henningsen , M. and Silver , E. A. 2000 . Implementing standards-based mathematics instruction: A casebook for professional development , Vol. 33 , New York, NY : Teachers College Press .
   Google Scholar
• Stigler , J. and Hiebert , J. 1999 . The teaching gap , New York, NY : The Free Press .
   Google Scholar
• Stoeger , H. and Ziegler , A. 2008 . Evaluation of a classroom based training to improve self-regulation in time management tasks during homework activities with fourth graders . Metacognition & Learning , 3 ( 3 ) : 207 – 230 .
   Web of Science ®Google Scholar
• Sullivan , P. , Clarke , D. and Clarke , B. 2009 . Converting mathematics tasks to learning opportunities: An important aspect of knowledge for mathematics teaching . Mathematics Education Research Journal , 21 ( 1 ) : 85 – 105 .
   Google Scholar
• Tam , V. C. and Chan , R. M. 2009 . Parental involvement in primary children's homework in Hong Kong . School Community Journal , 19 ( 2 ) : 81 – 100 .
   Google Scholar
• Trautwein , U. and Lüdtke , O. 2009 . Predicting homework motivation and homework effort in six school subjects: The role of person and family characteristics, classroom factors, and school track . Learning & Instruction , 19 ( 3 ) : 243 – 258 .
   Web of Science ®Google Scholar
• Trautwein , U. , Niggli , A. , Schnyder , I. and Lüdtke , O. 2009 . Between-teacher differences in homework assignments and the development of students’ homework effort, homework emotions . Journal of Educational Psychology , 101 ( 1 ) : 176 – 189 .
   Web of Science ®Google Scholar
• Watson , A. and Sullivan , P. 2008 . “ Teachers learning about tasks and lessons ” . In The international handbook of mathematics teacher education Edited by: Tirosh , D. and Wood , T. (Vol. 2: Tools and processes in mathematics teacher education, pp. 109–134). Rotterdam, Netherlands: Sense Publishers
   Google Scholar