Early mathematics assessment: validation of the short form of a prekindergarten and kindergarten mathematics measure

References

• Andrich , D. 1988 . Rasch models for measurement , Newbury Park , CA : Sage .
   Google Scholar
• Bond , T.G. and Fox , C.M. 2007 . Applying the Rasch model: Fundamental measurement in the human sciences , Mahwah , NJ : Lawrence Erlbaum .
   Google Scholar
• Bracken , B.A. 1984/1998 . Bracken basic concept scale-revised , San Antonio , TX : The Psychological Corporation, Harcourt Brace and Company .
   Google Scholar
• Butterworth , B. 1999 . The mathematical brain , London : Macmillan .
   Google Scholar
• Cauffman , E. and MacIntosh , R. 2006 . A Rasch differential item functioning analysis of the Massachusetts Youth Screening Instrument: Identifying race and gender differential item functioning among juvenile offenders . Educational and Psychological Measurement , 66 ( 3 ) : 502 – 521 .
   Web of Science ®Google Scholar
• CCSSO/NGA . 2010 . Common core state standards for mathematics (Vol. 2010) , Washington , DC : Council of Chief State School Officers and the National Governors Association Center for Best Practices .
   Google Scholar
• Cheng , Y. , Chen , L. , Liu , K and Chen , Y. 2011 . Development and psychometric evaluation of the school bullying scales: A Rasch measurement approach . Educational and Psychological Measurement , 71 ( 1 ) : 200 – 216 .
   Web of Science ®Google Scholar
• Chernoff, J.J., Flanagan, K.D., McPhee, C., & Park, J. (2007). Preschool: First findings from the third follow-up of the early childhood longitudinal study, birth cohort (ECLS-B) (NCES 2008–025). Washington, DC: National Center for Education Statistics, Institute of Education Sciences, US Department of Education.
   Google Scholar
• Clements , D.H. 2007 . Curriculum research: Toward a framework for research-based curricula . Journal for Research in Mathematics Education , 38 ( 1 ) : 35 – 70 .
   Web of Science ®Google Scholar
• Clements , D.H. and Sarama , J. 2004a . Building Blocks for early childhood mathematics . Early Childhood Research Quarterly , 19 : 181 – 189 .
   Web of Science ®Google Scholar
• Clements , D.H. and Sarama , J. 2004b . Learning trajectories in mathematics education . Mathematical Thinking and Learning , 6 : 81 – 89 .
   Google Scholar
• Clements , D.H. and Sarama , J. 2007 . Effects of a preschool mathematics curriculum: Summative research on the Building Blocks project . Journal for Research in Mathematics Education , 38 ( 2 ) : 136 – 163 .
   Web of Science ®Google Scholar
• Clements , D.H. and Sarama , J. 2007b . “ Early childhood mathematics learning ” . In Second handbook of research on mathematics teaching and learning , Edited by: Lester , F.K. Jr. Vol. 1 , 461 – 555 . New York , NY : Information Age .
   Google Scholar
• Clements , D.H. and Sarama , J. 2007c . SRA real math, PreK-Building Blocks , Columbus , OH : SRA/McGraw-Hill .
   Google Scholar
• Clements , D.H. , Sarama , J.H. and Liu , X.H. 2008 . Development of a measure of early mathematics achievement using the Rasch model: The research-based early mathematics assessment . Educational Psychology , 28 ( 4 ) : 457 – 482 .
   Web of Science ®Google Scholar
• Clements , D.H. and Sarama , J.H. 2009 . Early childhood mathematics education research: Learning trajectories for young children , New York , NY : Routledge .
   Google Scholar
• Clements , D.H. , Sarama , J.H. , Spitler , M.E. , Lange , A.A. and Wolfe , C.B. 2011 . Mathematics learned by young children in an intervention based on learning trajectories: A large-scale cluster randomized trial . Journal for Research in Mathematics Education , : 127 – 166 .
   Web of Science ®Google Scholar
• Clements , D.H. , Sarama , J. and Wilson , D.C. 2001 . “ Composition of geometric figures ” . In Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education , Edited by: Van den Heuvel-Panhuizen , M. Vol. 2 , 273 – 280 . Utrecht : Freudenthal Institute .
   Google Scholar
• Clements , D.H. , Wilson , D.C. and Sarama , J. 2004 . Young children’s composition of geometric figures: A learning trajectory . Mathematical Thinking and Learning , 6 : 163 – 184 .
   Google Scholar
• Confrey , J. , Maloney , A. , Nguyen , K. , Mojica , G. and Myers , M. Equipartitioning/splitting as a foundation of rational number reasoning using learning trajectories . Paper presented at the Proceedings of the 33rd Conference of the International Group for the Psychology in Mathematics Education . Thessaloniki , Greece.
   Google Scholar
• Daro , P. , Mosher , F.A. , Corcoran , T.B. , Barrett , J. , Battista , M.T. , Clements , D.H. , … and Sarama , J. 2011 . Learning trajectories in mathematics: A foundation for standards, curriculum, assessment, and instruction , New York , NY : Consortium for Policy Research in Education (CPRE) .
   Google Scholar
• Duncan , G.J. , Claessens , A. , Huston , A.C. , Pagani , L.S. , Engel , M. , Sexton , H. , … and Japel , C. 2007 . School readiness and later achievement . Developmental Psychology , 43 ( 6 ) : 1428 – 1446 .
   PubMed Web of Science ®Google Scholar
• Dunn , L.M. and Dunn , L.M. 1997 . Peabody picture vocabulary test-third edition , Bloomington , IN : Pearson Assessments .
   Google Scholar
• Frye , D. , Zelazo , P.D. and Palfai , T. 1995 . Theory of mind and rule-based reasoning . Cognitive Development , 10 ( 4 ) : 483 – 527 .
   Web of Science ®Google Scholar
• Gathercole , S.E. and Pickering , S.J. 2000 . Working memory deficits in children with low achievements in the national curriculum at 7 years of age . British Journal of Education Psychology , 70 : 177 – 194 .
   PubMed Web of Science ®Google Scholar
• Geary , D.C. 2006 . “ Development of mathematical understanding ” . In Handbook of child psychology: Volume 2: Cognition, perception, and language , 6th ed. , Edited by: Kuhn , D. , Siegler , R.S. , Damon , W. and Lerner , R.M. 777 – 810 . Hoboken , NJ : Wiley .
   Google Scholar
• Ginsburg , H.P. and Baroody , A.J. 2003 . Test of early mathematics ability , 3rd ed. , Austin , TX : Pro-ed .
   Google Scholar
• Ginsburg , H.P. , Cannon , J. , Eisenband , J.G. and Pappas , S. 2006 . “ Mathematical thinking and learning ” . In Handbook of Early Child Development , Edited by: McCartney , K. and Phillips , D. 208 – 229 . Oxford : Blackwell .
   Google Scholar
• Ginsburg , H.P. , Lee , J.S. and Boyd , J.S. 2008 . Mathematics education for young children: What it is and how to promote it . Social Policy Report , 22 ( 1 ) : 3 – 22 .
   Google Scholar
• Gormley , W.T. , Gayer , T. , Phillips , D. and Dawson , B. 2005 . The effects of universal pre-K on cognitive development . Developmental Psychology , 41 ( 6 ) : 872 – 884 .
   PubMed Web of Science ®Google Scholar
• Howes , C. , Burchinal , M. , Pianta , R. , Bryant , D. , Early , D. , Clifford , R. and Barbarin , O. 2008 . Ready to learn? Children’s pre-academic achievement in pre-kindergarten programs . Early Childhood Research Quarterly , 23 ( 1 ) : 27 – 50 .
   Web of Science ®Google Scholar
• Klein , A. , Starkey , P. and Wakeley , A. 2000 . Child Math Assessment: Preschool battery (CMA) , Berkeley , CA : University of California .
   Google Scholar
• Linacre , J.M. 2005 . A user’s guide to Winsteps/Ministep Rasch-model computer program , Chicago , IL : Winsteps.com .
   Google Scholar
• Love , J.M. , Kisker , E.E. , Ross , C. , Raikes , H. , Constantine , J. , Boller , K. , … and Vogel , C. 2005 . The effectiveness of early head start for 3-year-old children and their parents: Lessons for policy and programs . Developmental Psychology , 41 ( 6 ) : 885 – 901 .
   PubMed Web of Science ®Google Scholar
• Magnuson , K. and Waldfogel , J. 2008 . Steady gains and stalled progress: Inequality and the black-white test score gap , New York , NY : Russell Sage .
   Google Scholar
• Mansfield , H.M. and Scott , J. 1990 . “ Young children solving spatial problems ” . In Proceedings of the 14th Annual Conference of the International Group for the Psychology of Mathematics Education , Edited by: Booker , G. , Cobb , P. and deMendicuti , T.N . Vol. 2 , 275 – 282 . Oaxlepec : Internation Group for the Psychology of Mathematics Education .
   Google Scholar
• Martiniello , M. 2008 . Language and the performance of English-language learners in math word problems . Harvard Educational Review , 78 ( 2 ) : 333 – 368 .
   Web of Science ®Google Scholar
• Masters , G.N. 1982 . A Rasch model for partial credit scoring . Psychometrika , 47 : 149 – 174 .
   Web of Science ®Google Scholar
• National Center for Education Statistics . 2000 . America’s kindergartners (NCES 2000070) , Washington , DC : US Government Printing Office .
   Google Scholar
• National Research Council . 2009 . Mathematics in early childhood: Learning paths toward excellence and equity , Washington , DC : National Academy Press .
   Google Scholar
• Peisner-Feinberg , E. , Burchinal , M.R. , Clifford , R.M. , Culkin , M.L. , Howes , C. , Kagan , S.L. and Yazejian , N. 2001 . The relation of preschool child-care quality to children’s cognitive and social developmental trajectories through second grade . Child Development , 72 ( 5 ) : 1534
   PubMed Web of Science ®Google Scholar
• Rasch , G. 1980 . Probabilistic models for some intelligence and attainment tests , Chicago , IL : University of Chicago Press .
   Google Scholar
• Sales , C. 1994 . A constructivist instructional project on developing geometric problem solving abilities using pattern blocks and tangrams with young children , Cedar Falls , IA : Masters, University of Northern Iowa .
   Google Scholar
• Sarama , J. and Clements , D.H. 2002 . Building Blocks for young children’s mathematical development . Journal of Educational Computing Research , 27 ( 1&2 ) : 93 – 110 .
   Google Scholar
• Sarama , J. and Clements , D.H. 2009 . Early childhood mathematics education research: Learning trajectories for young children , New York , NY : Routledge .
   Google Scholar
• Sarama , J. , Clements , D.H. and Vukelic , E.B. 1996 . “ The role of a computer manipulative in fostering specific psychological/mathematical processes ” . In Proceedings of the 18th Annual Meeting of the North America Chapter of the International Group for the Psychology of Mathematics Education , Edited by: Jakubowski , E. , Watkins , D. and Biske , H. Vol. 2 , 567 – 572 . Columbus , OH : ERIC Clearinghouse for Science, Mathematics and Environmental Education .
   Google Scholar
• Sarama , J. , Clements , D.H. and Wolfe , C.B. 2010 . Tools for early mathematics assessment’ instrument and manual , Columbus , OH : McGraw-Hill .
   Google Scholar
• Sarama, J.H., Clements, D.H., Wolfe, C.B., & Spitler, M.E. (submitted for publication). Longitudinal evaluation of a scale-up model for teaching mathematics with trajectories and technologies: Persistence of effects in the third year. American Education Research Journal.
   Google Scholar
• Schickedanz , J. and Dickinson , D. 2005 . Opening the world of learning , Iowa City , IA : Pearson .
   Google Scholar
• Thissen , D. , Steinberg , L. and Kuang , D. 2002 . Quick and easy implementation of the Benjamini–Hochberg procedure for controlling the false discovery rate in multiple comparisons . Journal of Educational and Behavioral Statistics , 27 : 77 – 83 .
   Web of Science ®Google Scholar
• US Department of Health and Human Services . 2010 . Head start impact study: Final report , Washington , DC : Administration for Children and Families, Office of Planning, Research and Evaluation .
   Google Scholar
• Vurpillot , E. 1976 . The visual world of the child , New York , NY : International Universities Press .
   Google Scholar
• Watson , A.B. and Pelli , D.G. 1983 . QUEST: A Bayesian adaptive psychometric method . Perception & Psychophysics , 33 : 113 – 120 .
   PubMed Web of Science ®Google Scholar
• Weitzman , R.A. 1996 . The Rasch model plus guessing . Educational and Psychological Measurement , 56 : 779 – 790 .
   Web of Science ®Google Scholar
• Weitzman , R.A. 2008 . Fitting the Rasch model to account for variation in item discrimination . Educational and Psychological Measurement , 69 ( 2 ) : 216 – 231 .
   Web of Science ®Google Scholar
• Williams , V.S.L. , Jones , L.V. and Tukey , J.W. 1999 . Controlling error in multiple comparisons, with examples from state-to-state differences in educational achievement . Journal of Educational and Behavioral Statistic , 24 ( 1 ) : 42 – 69 .
   Web of Science ®Google Scholar
• Wilson , M. 2009 . Measuring progressions: Assessment structures underlying a learning progression . Journal of Research in Science Teaching , 46 : 716 – 730 .
   Web of Science ®Google Scholar
• Wong , V.C. , Cook , T.D. , Barnett , W.S. and Jung , K. 2008 . An effectiveness-based evaluation of five state prekindergarten programs . Journal of Policy Analysis and Management , 27 ( 1 ) : 122 – 154 .
   Web of Science ®Google Scholar
• Woodcock , R.W. , McGrew , K.S. and Mather , N. 2001 . Woodcock-Johnson tests of achievement , Itasca , IL : Riverside .
   Google Scholar
• Zelazo , P.D. 2006 . The dimensional change card sort (DCCS): A method of assessing executive function in children . Nature Protocols , 1 ( 1 ) : 297 – 301 .
   PubMed Web of Science ®Google Scholar
• Zumbo , B.D. 2007 . Three generations of DIF analyses: Considering where it has been, where it is now, and where it is going . Language Assessment Quarterly , 4 ( 2 ) : 223 – 233 .
   Google Scholar