Search results for "Mathematica"

Inductive inference of recursive functions: complexity bounds

1991

This survey includes principal results on complexity of inductive inference for recursively enumerable classes of total recursive functions. Inductive inference is a process to find an algorithm from sample computations. In the case when the given class of functions is recursively enumerable it is easy to define a natural complexity measure for the inductive inference, namely, the worst-case mindchange number for the first n functions in the given class. Surely, the complexity depends not only on the class, but also on the numbering, i.e. which function is the first, which one is the second, etc. It turns out that, if the result of inference is Goedel number, then complexity of inference ma…

Estudio de funciones con geogebra

2012

Nuestra investigación, “Estudio de funciones con GeoGebra”, se ha desarrollado en el “Máster Universitario en Profesor de Educación Secundaria” de la Universitat de València. El estudio se centra en cómo alcanzar una correcta comprensión de los conceptos referidos a funciones haciendo uso del GeoGebra. El problema que motiva esta investigación radica en que, en los cursos tradicionales de 2º de Bachillerato, cantidades significativas de estudiantes no logran comprender los conceptos básicos de funciones, en particular, la tasa de variación media, derivada, monotonía, extremos y concavidad. El proyecto tiene como objetivo hacer una propuesta de trabajo basada en la utilización de GeoGebra, d…

On Variational Measures Related to Some Bases

2000

Abstract We extend, to a certain class of differentiation bases, some results on the variational measure and the δ-variation obtained earlier for the full interval basis. In particular the theorem stating that the variational measure generated by an interval function is σ-finite whenever it is absolutely continuous with respect to the Lebesgue measure is extended to any Busemann–Feller basis.

Edukacja matematyczna dzieci na przełomie przedszkola i szkoły

2014

Developmental Dynamics of Math Performance From Preschool to Grade 2.

2004

This study investigated the developmental dynamics of mathematical performance during children's transition from preschool to Grade 2 and the cognitive antecedents of this development. 194 Finnish children were examined 6 times according to their math performance, twice during each year across a 3-year period. Cognitive antecedents, that is, counting ability, visual attention, metacognitive knowledge, and listening comprehension, were tested at the first measurement point. The results indicated that math performance showed high stability and increasing variance over time. Moreover, the growth of math competence was faster among those who entered preschool with an already high level of mathe…

Literacy skills, mathematical skills and educational expectations among Finnish adolescents

2013

This study investigated the connection between educational expectations and skills in spelling, reading fluency and mathematics among Finnish 9th Graders. Connection between comorbidity of reading disability and mathematical disability with educational expectations was also examined. These connections were explored among boys and girls and the effects of parental education were assessed, as well. Cross tabulations and analyses of variance were used as tools for analyses. Spelling, reading fluency and mathematics were connected to educational expectations, with higher skills leading to higher expectations. The largest difference between the educational expectation groups was in mathematics. …

Dynamic Potential of Feedback in Self-Regulated Learning and Motivation of Children with Mathematical Learning Difficulties

2017

The present study was designed to examine the effects of feedback conditions on learning and motivation of children identified with mathematical learning difficulties (MLDs). The performance of 76 fifth grade children on computational math skills and related task motivation was assessed. The groups of children were randomly assigned to one of two treatment conditions: immediate corrective feedback or delayed conventional feedback on two occasions. Results showed that children performed significantly better when they were provided with the immediate corrective feedback than when they were provided with the delayed conventional feedback. The findings suggest that provision of the immediate co…

Age-Structured Human Population Dynamics

2006

ABSTRACT A von Foerster-McKendrick model to study age-structured human population dynamics is presented in this paper. Forecasts of population density (population per age unit) depending on ages are possible using this model. The model consists of a quasi-linear first order partial differential equation for the dynamics of population density per age-unit (except for the zero-age), a boundary condition for the births flow at zero-age, and an initial condition for the population density at the initial instant. A general solution independent of the particular human-system under study is obtained based on some hypotheses about the mathematical structure of its input variables. The model has bee…

Pupil's ecological reasoning with help of modeling tool

2006

Ecological concepts, and in particular population dynamics, has been found to be among the most difficult topics in biology. Some researchers pointed to students' relatively weak mathematical background as the main source of learning difficulties. This paper reports on an investigation of pupil's (n=73) reasoning about the ecological phenomena by using an iconic modelling tool, WorldMaker. The simulations eliminated the need for understanding of mathematical equations, and made the ecological concepts much more accessible to some children. However, many of the pupils reasoned from an anthropocentric perspective that obstructed their ability to predict ecological phenomena which requires sys…

Solving a model for the evolution of smoking habit in Spain with homotopy analysis method

2013

We obtain an approximated analytical solution for a dynamic model for the prevalence of the smoking habit in a constant population but with equal and different from zero birth and death rates. This model has been successfully used to explain the evolution of the smoking habit in Spain. By means of the Homotopy Analysis Method, we obtain an analytic expression in powers of time t which reproduces the correct solution for a certain range of time. To enlarge the domain of convergence we have applied the so-called optimal convergence-control parameter technique and the homotopy-Padé technique. We present and discuss graphical results for our solutions. ©