Psychometric analyses of the Birthday Party

The present research focuses on the psychometric properties of the Birthday Party measure for ages 3–5. The Birthday Party was developed to provide a reliable, valid, and engaging measure of early mathematical content—Number and Operation, Shape, Space, and Pattern—that can be given in either a short or a long form to English and Spanish speakers. 522 preschoolers (147 for age three, 226 for age four, and 149 for age five) were tested with both the Birthday Party and a criterion measure: the mathematics portion of the Young Children’s Achievement Test to examine reliability and validity. Overall, the technical adequacy of the Birthday Party was established as follows: (1) the results indicated that the Birthday Party was reliable and showed evidence to support both criterion and construct validity, (2) the Spanish version of the Birthday Party displayed adequate reliability and validity results, as well as equivalence with the English version of the Birthday Party, and (3) a short version of the Birthday Party is available as a screening measure to help aid in the early identification of children who are weak in foundational mathematical skills and add to the Birthday Party’s practicality and usability.

[1]  S. Jimerson,et al.  A longitudinal study of achievement trajectories: Factors associated with change. , 1999 .

[2]  Associations Between Counting Ability in Preschool and Mathematic Performance in First Grade Among a Sample of Ethnically Diverse, Low-Income Children , 2014 .

[3]  M. Susan Burns,et al.  Eager to learn : educating our preschoolers , 2000 .

[4]  I. Mullis.  TIMSS 1999 international mathematics report : Findings from IEA's repeat of the third international mathematics and science study at the eighth grade , 2000 .

[5]  Beth M. Casey,et al.  Storytelling sagas: an effective medium for teaching early childhood mathematics , 2004 .

[6]  J. Stigler,et al.  Mathematics achievement of Chinese, Japanese, and American children. , 1986, Science.

[7]  Robert S. Siegler,et al.  Even before formal instruction, Chinese children outperform American children in mental addition , 1993 .

[8]  Yukari Okamoto,et al.  Comparisons of Children's Cognitive Representation of Number: China, France, Japan, Korea, Sweden, and the United States , 1994 .

[9]  Jian Wang,et al.  A meta-analysis of comparative studies on Chinese and US students’ mathematics performance: Implications for mathematics education reform and research , 2009 .

[10]  Ashley Lewis Presser,et al.  Preparing preschool teachers to use and benefit from formative assessment: the Birthday Party Assessment professional development system , 2016 .

[11]  Frank B. Baker,et al.  Item Response Theory : Parameter Estimation Techniques, Second Edition , 2004 .

[12]  Kristin Denton,et al.  Children's Reading and Mathematics Achievement in Kindergarten and First Grade. , 2002 .

[13]  P. Bentler,et al.  Evaluating model fit. , 1995 .

[14]  Kelly S. Mix,et al.  The Development of Young Children’s Early Number and Operation Sense and its Implications for Early Childhood Education , 2006 .

[15]  L. Tucker,et al.  A reliability coefficient for maximum likelihood factor analysis , 1973 .

[16]  Robert E. Reys.  Helping Children Learn Mathematics , 1984 .

[17]  S. Griffin,et al.  Building number sense with Number Worlds: a mathematics program for young children , 2004 .

[18]  J. Sarama,et al.  Learning Trajectories in Mathematics Education , 2004 .

[19]  John O. Willis,et al.  Young Children's Achievement Test , 2008 .

[20]  Georg Rasch,et al.  Probabilistic Models for Some Intelligence and Attainment Tests , 1981, The SAGE Encyclopedia of Research Design.

[21]  Linda L. Murphy,et al.  The sixteenth mental measurements yearbook , 2003 .

[22]  Alan Ginsburg,et al.  Reassessing U.S. International Mathematics Performance: New Findings from the 2003 TIMSS and PISA. , 2005 .

[23]  R. Siegler,et al.  Chinese Children Excel on Novel Mathematics Problems Even Before Elementary School , 2008, Psychological science.

[24]  Martin A. Simon.  Hypothetical Learning Trajectories in Mathematics Education , 2020, Encyclopedia of Mathematics Education.

[25]  C. Gallistel,et al.  The Child's Understanding of Number , 1979 .

[26]  L. Brush,et al.  Preschool Children's Knowledge of Addition and Subtraction. , 1978 .

[27]  H. Ginsburg,et al.  Invitation to the birthday party: rationale and description , 2016 .

[28]  R. Gelman,et al.  Young children can add and subtract by predicting and checking , 2004 .

[29]  A. Baroody,et al.  Comments on the Use of Learning Trajectories in Curriculum Development and Research , 2004 .

[30]  P. Bentler,et al.  Cutoff criteria for fit indexes in covariance structure analysis : Conventional criteria versus new alternatives , 1999 .

[31]  Yukari Okamoto,et al.  First graders' cognitive representation of number and understanding of place value: Cross-national comparisons: France, Japan, Korea, Sweden, and the United States. , 1993 .

[32]  J. Sarama,et al.  Young Children's Concepts of Shape. , 1999 .

[33]  A. Baroody.  Children's Mathematical Thinking: A Developmental Framework for Preschool, Primary, and Special Education Teachers , 1987 .