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tandfonline.com – Strategies for Using a Spatial Method to Promote Active Learning of Probability Concepts

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. Abstract We developed and tested strategies for using spatial representations to help students understand core probability concepts, including the multiplication rule for computing a joint probability from a marginal and conditional probability, interpreting an odds value as the ratio of two probabilities, and Bayesian inference. The general goal of these strategies is to promote active learning by introducing concepts in an intuitive spatial format and then encouraging students to try to discover the explicit equations associated with the spatial… Continue Reading

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Eric.ed.gov – Using the Scientific Method to Engage Mathematical Modeling: An Investigation of pi

eric.ed.gov har udgivet: The purpose of this paper is to explain how to use the scientific method as the framework to introduce mathematical model. Two interdisciplinary activities, targeted for students in grade 6 or grade 7, are explained to show the application of the scientific method while building a mathematical model to investigate the relationship between the circumferences and the diameter of circular objects. In the first activity, a research question is pursued as it relates to the stated hypothesis. In the second activity, the same research question is retained; however, the use of exploration helps to build the hypothesis. The activities serve as examples to show how middle school math teachers may use scientific inquiry to motive students’ understanding of mathematical models as well as engage in science beyond… Continue Reading

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tandfonline.com – Introduction of a new method for representing the sociometric status within the peer group: the example of sociometrically neglected children

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. ABSTRACT Sociometrically neglected children are not often liked and not often disliked by their peers. This kind of social information is known as social status. Evidence concerning internalizing behaviour of neglected children is as yet equivocal. Contradictory research results could possibly be attributed to methodological issues of social status classification methods. Therefore, we will paradigmatically emphasize insufficiencies of one social status classification method. Since arbitrary cutoffs (sociometric data) provide the basis for the categorical classification of social status groups,… Continue Reading

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tandfonline.com – The Extreme Apprenticeship Method

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. Over the past 9 years, we have implemented, developed, and refined a novel student-centered teaching method called Extreme Apprenticeship in university mathematics context. In this paper, we report the theoretical orientation behind the method, as well as its practical implementation. We also reflect on our experiences gained from using it in our teaching. Link til kilde