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Thompson, Ian – Mathematics Teaching, 2012
Ofsted was asked to provide evidence of effective practice in the teaching of early arithmetic, its report entitled; "Good practice in primary mathematics: evidence from 20 successful schools," was published in November 2011. Did this report pass you by? Unfortunately, as with many other reports not blessed with a "high…
Descriptors: Teaching Methods, Mathematics Instruction, Elementary School Mathematics, Evidence
A CUSUM to Detect Person Misfit: A Discussion and Some Alternatives for Existing Procedures
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Tendeiro, Jorge N.; Meijer, Rob R. – Applied Psychological Measurement, 2012
This article extends the work by Armstrong and Shi on CUmulative SUM (CUSUM) person-fit methodology. The authors present new theoretical considerations concerning the use of CUSUM person-fit statistics based on likelihood ratios for the purpose of detecting cheating and random guessing by individual test takers. According to the Neyman-Pearson…
Descriptors: Cheating, Individual Testing, Adaptive Testing, Statistics
The Language Factor in Elementary Mathematics Assessments: Computational Skills and Applied Problem Solving in a Multidimensional IRT Framework
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Hickendorff, Marian – Applied Measurement in Education, 2013
The results of an exploratory study into measurement of elementary mathematics ability are presented. The focus is on the abilities involved in solving standard computation problems on the one hand and problems presented in a realistic context on the other. The objectives were to assess to what extent these abilities are shared or distinct, and…
Descriptors: Elementary School Mathematics, Mathematics Tests, Mathematics Skills, Problem Solving
Individual Differences in Early Numeracy: The Role of Executive Functions and Subitizing
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Kroesbergen, E. H.; Van Luit, J. E. H.; Van Lieshout, E. C. D. M.; Van Loosbroek, E.; Van de Rijt, B. A. M. – Journal of Psychoeducational Assessment, 2009
In this study, the question was raised how basic cognitive processes are related to math abilities and how it can be best determined which children are at risk for developing those disabilities. The role of four distinct basic processes in the development of early mathematics was investigated: executive functions, fluid intelligence, subitizing,…
Descriptors: Learning Problems, Computation, Cognitive Processes, Numeracy
Individual Differences in Strategy Use on Division Problems: Mental versus Written Computation
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Hickendorff, Marian; van Putten, Cornelis M.; Verhelst, Norman D.; Heiser, Willem J. – Journal of Educational Psychology, 2010
Individual differences in strategy use (choice and accuracy) were analyzed. A sample of 362 Grade 6 students solved complex division problems under 2 different conditions. In the choice condition students were allowed to use either a mental or a written strategy. In the subsequent no-choice condition, they were required to use a written strategy.…
Descriptors: Individual Differences, Grade 6, Item Response Theory, Computation
Disciplined Calculators or Flexible Problem Solvers?
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Anghileri, Julia – International Group for the Psychology of Mathematics Education, 2004
Efforts to develop a mathematics curriculum that meets the needs of a modern society are reflected in reform recommendations across the developed world. A common requirement is for students to understand the calculation procedures they are taught and to develop "number sense". This paper will analyse students' strategies for calculating…
Descriptors: Foreign Countries, Mathematics Curriculum, Problem Solving, Curriculum Development