Titlebook: Reconceptualizing Early Mathematics Learning; Lyn D. English,Joanne T. Mulligan Book 2013 Springer Science+Business Media Dordrecht 2013 2

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h, for example, historical data. Enter Bayesian Inference (BI) based on Bayes’ Theorem. The concepts of prior probability, posterior probability, Maximum A posteriori Estimator, and conjugate distribution are explained and illustrated through two applications. The open software package . is demonstr

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Lyn D. English,Joanne T. Mulliganock, from the arrival time of the next phone call at a switchboard to the birth weight of a mother’s first child. To simulate these and other probability experiments we need to know how to convert uniformly distributed random numbers into a sample from whatever distribution underlies the experiment.

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Kristie J. Newton,Patricia A. Alexanderom numbers. The Monte Carlo method was given its name by Stanislaw Ulam and John von Neumann, who invented the method to solve neutron diffusion problems at Los Alamos in the mid 1940s..Monte Carlo methods are widely used in mathematics, science, industry, commerce, and entertainment. They are at th

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Early Awareness of Mathematical Pattern and Structure,, or replicated elements of pattern and structure. Students with high AMPS are likely to have a better understanding of Big Ideas in mathematics than those with low AMPS. They are likely to look for, remember and apply spatial and numerical generalizations and in particular are likely to grasp the m

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,Communicating About Number: Fostering Young Children’s Mathematical Orientation in the World,sing activities, helping them to invent symbolic means for referring to number aspects of reality (communicating . number), and guided examination of properties of number (communicating . number). Its is concluded that young children’s mathematical orientation in the world can be fostered in the con

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,The Role of Picture Books in Young Children’s Mathematics Learning,iques are discussed and illustrated by classroom vignettes. Finally, based on an intervention program in which kindergartners were read a series of picture books, we report what we learned about the effectiveness of picture book reading on kindergartners’ performance in mathematics.