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Measuring Striving for Understanding and Learning Value of Geometry: A Validity Study
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Ubuz, Behiye; Aydinyer, Yurdagül – International Journal of Mathematical Education in Science and Technology, 2017
The current study aimed to construct a questionnaire that measures students' personality traits related to "striving for understanding" and "learning value of geometry" and then examine its psychometric properties. Through the use of multiple methods on two independent samples of 402 and 521 middle school students, two studies…
Descriptors: Mathematics Instruction, Test Construction, Questionnaires, Personality Traits
Is There a Causal Relation between Mathematical Creativity and Mathematical Problem-Solving Performance?
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Tyagi, Tarun Kumar – International Journal of Mathematical Education in Science and Technology, 2016
The relationship between mathematical creativity (MC) and mathematical problem-solving performance (MP) has often been studied but the causal relation between these two constructs has yet to be clearly reported. The main purpose of this study was to define the causal relationship between MC and MP. Data from a representative sample of 480…
Descriptors: Creative Thinking, Creativity, Mathematics, Mathematics Instruction
A Comparative Analysis of British and Taiwanese Students' Conceptual and Procedural Knowledge of Fraction Addition
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Li, Hui-Chuan – International Journal of Mathematical Education in Science and Technology, 2014
This study examines students' procedural and conceptual achievement in fraction addition in England and Taiwan. A total of 1209 participants (561 British students and 648 Taiwanese students) at ages 12 and 13 were recruited from England and Taiwan to take part in the study. A quantitative design by means of a self-designed written test is adopted…
Descriptors: Comparative Analysis, Addition, Mathematics Instruction, Foreign Countries
The Remainder Method for Sample Percentiles
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Joarder, A. H.; Abujiya, M. R. – International Journal of Mathematical Education in Science and Technology, 2007
A method called the Remainder Method is proposed for the calculation of sample quantiles of a given order, for example, quartiles, hexatiles, octatiles, deciles and percentiles assuming that all the observations are distinct. Proof is given for a special case of deciles. The criterion "equisegmentation" is proposed, namely that the number of…
Descriptors: Mathematics Instruction, Mathematics, Statistics, Mathematical Concepts
Circulant Matrices and Time-Series Analysis
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Pollock, D. S. G. – International Journal of Mathematical Education in Science and Technology, 2002
This paper sets forth some salient results in the algebra of circulant matrices which can be used in time-series analysis. It provides easy derivations of some results that are central to the analysis of statistical periodograms and empirical spectral density functions. A statistical test for the stationarity or homogeneity of empirical processes…
Descriptors: Matrices, Statistical Analysis, Algebra, Equations (Mathematics)
On Some Representations of Sample Variance
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Joarder, Anwar H. – International Journal of Mathematical Education in Science and Technology, 2002
The usual formula for variance depending on rounding off the sample mean lacks precision, especially when computer programs are used for the calculation. The well-known simplification of the total sums of squares does not always give benefit. Since the variance of two observations is easily calculated without the use of a sample mean, and the…
Descriptors: Research Design, Mathematics, Statistical Analysis, Sampling