The Development of an Assessment Tool: Student Knowledge of the Concept of Place Value.

The importance of student understanding of the concept of place value cannot be underestimated. Place value is a ‘gate keeper’ in developing mathematical understanding. The purpose of this study was to examine and develop a teacher-made test of place value knowledge. The questions were developed using the progressions from the Number Framework (Bobis, Clarke, Clarke, Thomas, Wright et al., 2005). An exploratory factor analysis was used to evaluate the assessment tool. The analysis of student responses to the test questions revealed a three-factor structure that supported the existing literature on the progression in learning of place value ideas, by identifying the critical key ideas that underlie the concept of place value. The results validated the tool as a test of place value knowledge that could be used to assess the performance of Yrs. 3-9 students.

[1]  Simon L. Peyton Jones,et al.  Haskell 98 Libraries: Rational Numbers , 2003, Journal of functional programming.

[2]  G. Thomas,et al.  What Do Teachers Know About Fractions , 2006 .

[3]  Jason W. Osborne,et al.  Best practices in exploratory factor analysis: four recommendations for getting the most from your analysis. , 2005 .

[4]  Peter Hilton,et al.  The Rational Numbers , 1970 .

[5]  Ian Putt,et al.  Multidigit number sense: A framework for instruction and assessment , 1996 .

[6]  Margaret Walshaw,et al.  Effective Pedagogy in Mathematics / Pàngarau Best Evidence Synthesis Iteration [ BES ] , 2007 .

[7]  K. Irwin Using Everyday Knowledge of Decimals to Enhance Understanding , 2001 .

[8]  Hyman Bass,et al.  Knowing Mathematics for Teaching Who Knows Mathematics Well Enough To Teach Third Grade, and How Can We Decide? , 2005 .

[9]  Noel R. Thomas,et al.  THE DEVELOPMENT OF STRUCTURE IN THE NUMBER SYSTEM , 2004 .

[10]  D. Clarke,et al.  Supporting teachers in the development of young children’s mathematical thinking: Three large scale cases , 2005 .

[11]  B. Tabachnick,et al.  Using Multivariate Statistics , 1983 .

[12]  Edward A. Silver,et al.  Results from the Seventh Mathematics Assessment of the National Assessment of Educational Progress , 2000 .

[13]  T. P. Carpenter,et al.  Children's Conceptual Structures for Multidigit Numbers and Methods of Multidigit Addition and Subtraction. , 1997 .

[14]  Judith T. Sowder Place Value as the Key To Teaching Decimal Operations. , 1997 .

[15]  I. Thompson,et al.  Teaching Place Value in the UK: Time for a reappraisal? , 2000 .

[16]  P. Gould Reviewing Literature Relevant to a Systemic Early Numeracy Initiative : Bases of CM IT , 2011 .

[17]  Constance Kamii,et al.  Place Value: An Explanation of Its Difficulty and Educational Implications for the Primary Grades , 1986 .

[18]  Julia Anghileri,et al.  Which Mental Strategies in the Early Number Curriculum? A Comparison of British Ideas and Dutch Views , 1998 .

[19]  G. Wheatley,et al.  Children's Initial Understandings of Ten. , 1988 .

[20]  Jenny Young-Loveridge,et al.  Supporting Multiplicative Thinking: Multi-digit Multiplication Using Array-based Materials , 2008 .