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Bulat, Pavel V.; Volkov, Konstantin N. – International Journal of Environmental and Science Education, 2016
Aim of the study: This study examines numerical methods for solving the problems in gas dynamics, which are based on an exact or approximate solution to the problem of breakdown of an arbitrary discontinuity (the Riemann problem). Results: Comparative analysis of finite difference schemes for the Euler equations integration is conducted on the…
Descriptors: Mathematics, Mathematical Models, Mathematical Concepts, Computation
Tempier, Frédérick – Journal of Mathematics Teacher Education, 2016
Many studies have shown the difficulties of learning and teaching the decimal number system for whole numbers. In the case of numbers bigger than one hundred, complexity is partly due to the multitude of possible relationships between units. This study was aimed to develop conditions of a resource which can help teachers to enhance their teaching…
Descriptors: Mathematics, Mathematical Concepts, Mathematics Instruction, Mathematical Logic
Fritz, Annemarie; Ehlert, Antje; Balzer, Lars – South African Journal of Childhood Education, 2013
A common theme of models of conceptual growth is to establish the hierarchical structures of abilities that can be interpreted along developmental lines. Integrating the literature on the development of mathematical concepts and skills in children, a comprehensive 6 level model for describing, explaining and predicting the development of key…
Descriptors: Mathematical Concepts, Item Response Theory, Comparative Analysis, Mathematics Education
House, Gary D. – 1979
The equivalency of achievement results obtained under Title I evaluation models A1 and C1 was examined. Data were reading comprehension and arithmetic scores on the Iowa Tests of Basic Skills, administered to fourth, sixth, and eighth grade students in St. Louis, Missouri. The St. Louis Public Schools had traditionally used Model A1, a…
Descriptors: Academic Achievement, Achievement Gains, Age Differences, Arithmetic

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