Educating Children in Stochastic Modeling: Games with Stochastic Urns and Colored Tinker-cubes

نویسندگان

  • Laura Martignon
  • Elke Kurz-Milcke
چکیده

It is an established opinion that young children have good probabilistic intuitions although their mental framework for reasoning probabilistically may be fragmentary and even contain inconsistencies. We join the camp of mathematics educators who advocate an early training in stochastic thinking. We recognize, however, that such early training can only be based on a heuristic approach to stochastics. The heuristic approach that we propose here is implemented by guiding children to actively construct stochastic situations by means of plastic tinker-cubes and stochastic urns. The aim of this enactive training is to foster the development of a dynamic mental imagery for representing stochastic situations.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Transparent Urns and Colored Tinker-cubes for Natural Stochastics in Primary School

We join the camp of mathematics educators who claim that children should receive early training in stochastic thinking, although their training – at such stage – may only be based on a heuristic understanding of stochastic phenomena. The term “heuristic” is to be taken in the sense propagated by scientists like Einstein and Polya, which is not as “a rule of thumb” but as a correct yet partial a...

متن کامل

Formal approach on modeling and predicting of software system security: Stochastic petri net

To evaluate and predict component-based software security, a two-dimensional model of software security is proposed by Stochastic Petri Net in this paper. In this approach, the software security is modeled by graphical presentation ability of Petri nets, and the quantitative prediction is provided by the evaluation capability of Stochastic Petri Net and the computing power of Markov chain. Each...

متن کامل

Stochastic Finite Fault Modeling for the 16 September 1978 Tabas, Iran, Earthquake

The main objective of this study is estimating acceleration time history of 16 September 1978 Tabas earthquake incorporating the seismological/geological source-path and site model parameters by using finite-fault simulation approach. The method generalizes the stochastic ground-motion simulation technique, developed for point sources, to the case of finite faults. It subdivides the fault plane...

متن کامل

Stochastic human fatigue modeling in production systems

The performance of human resources is affected by various factors such as mental and physical fatigue, skill, and available time in the production systems. Generally, these mentioned factors have effects on human reliability and consequently change the reliability of production systems. Fatigue is a stochastic factor that changes according to other factors such as environmental conditions, work...

متن کامل

Application of the Kalman-Bucy filter in the stochastic differential equation for the modeling of RL circuit

In this paper, we present an application of the stochastic calculusto the problem of modeling electrical networks. The filtering problem have animportant role in the theory of stochastic differential equations(SDEs). In thisarticle, we present an application of the continuous Kalman-Bucy filter for a RLcircuit. The deterministic model of the circuit is replaced by a stochastic model byadding a ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006