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Pfannkuch, Maxine; Budgett, Stephanie; Fewster, Rachel; Fitch, Marie; Pattenwise, Simeon; Wild, Chris; Ziedins, Ilze – Statistics Education Research Journal, 2016
Because new learning technologies are enabling students to build and explore probability models, we believe that there is a need to determine the big enduring ideas that underpin probabilistic thinking and modeling. By uncovering the elements of the thinking modes of expert users of probability models we aim to provide a base for the setting of…
Descriptors: Statistics, Probability, Teaching Methods, Foreign Countries
Sacristán, Ana Isabel, Ed.; Cortés-Zavala, José Carlos, Ed.; Ruiz-Arias, Perla Marysol, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
These proceedings are a written record of the research presented at the 42nd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Mazatlán, Mexico, virtually beginning May 27, 2021 and in-person June 2-6, 2021. The conference was originally scheduled to take place…
Descriptors: Mathematics Education, Teaching Methods, Cultural Differences, Educational Research
Boyce, Steven – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
In this proposal, I introduce a method for modeling the dynamics of a sixth-grade student's accommodation of his fractions scheme to include a disembedding operation (Steffe & Olive, 2010). I will describe a three-part approach consisting of a constructivist teaching experiment, retrospective analysis, and stochastic modeling of the student's…
Descriptors: Grade 6, Fractions, Mathematics Instruction, Teaching Methods
Hlavatý, Robert; Dömeová, Ludmila – International Education Studies, 2014
The paper is focused on students of Mathematical methods in economics at the Czech university of life sciences (CULS) in Prague. The idea is to create a model of students' progress throughout the whole course using the Markov chain approach. Each student has to go through various stages of the course requirements where his success depends on the…
Descriptors: Foreign Countries, Markov Processes, Mathematical Models, Progress Monitoring
Keller, Bryan S. B.; Kim, Jee-Seon; Steiner, Peter M. – Society for Research on Educational Effectiveness, 2013
Propensity score analysis (PSA) is a methodological technique which may correct for selection bias in a quasi-experiment by modeling the selection process using observed covariates. Because logistic regression is well understood by researchers in a variety of fields and easy to implement in a number of popular software packages, it has…
Descriptors: Probability, Scores, Statistical Analysis, Statistical Bias
Cai, Jinfa, Ed. – National Council of Teachers of Mathematics, 2017
This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…
Descriptors: Mathematics Education, Educational Research, Educational Trends, Trend Analysis
Nevin, John A. – Behavior Analyst, 2008
Radical behaviorism considers private events to be a part of ongoing observable behavior and to share the properties of public events. Although private events cannot be measured directly, their roles in overt action can be inferred from mathematical models that relate private responses to external stimuli and reinforcers according to the same…
Descriptors: Animals, Visual Stimuli, Food, Mathematical Models
Wilcox, Rand R. – Educational and Psychological Measurement, 2006
Consider the nonparametric regression model Y = m(X)+ [tau](X)[epsilon], where X and [epsilon] are independent random variables, [epsilon] has a median of zero and variance [sigma][squared], [tau] is some unknown function used to model heteroscedasticity, and m(X) is an unknown function reflecting some conditional measure of location associated…
Descriptors: Nonparametric Statistics, Mathematical Models, Regression (Statistics), Probability

Greeno, James G.; And Others – Psychometrika, 1971
Earlier Analyses are shown to involve special cases of the equations developed here; also that a general four-state chain has the same parameter space as an all-or-none model if and only if its representation with an observable absorbing state is lumpable into a Markov chain with three states. (Author/GS)
Descriptors: Learning Theories, Mathematical Models, Probability, Research Methodology
Ellett, Frederick S., Jr.; Ericson, David P. – 1983
Several steps are taken to develop methods for analyzing systems that involve probabilistic causation. The basic ideas and distinctions are illustrated for systems with dichotomous variables. It is shown that these basic ideas have analogous counterparts in causal systems with continuous variables. By using a generalized conditional probability…
Descriptors: Correlation, Mathematical Models, Measurement Techniques, Path Analysis
Berry, Donald A. – 1989
The use of a Bayesian approach in evaluating data from clinical trials with many treatment centers and from many studies is discussed. The main distinction between a metaanalysis and an analysis of a multicenter trial is that different studies may have very different designs, while the centers in a multicenter trial usually follow the same…
Descriptors: Bayesian Statistics, Drug Use, Mathematical Models, Meta Analysis

Towstopiat, Olga – Contemporary Educational Psychology, 1984
The present article reviews the procedures that have been developed for measuring the reliability of human observers' judgments when making direct observations of behavior. These include the percentage of agreement, Cohen's Kappa, phi, and univariate and multivariate agreement measures that are based on quasi-equiprobability and quasi-independence…
Descriptors: Interrater Reliability, Mathematical Models, Multivariate Analysis, Observation
Hutchinson, Thomas E. – Amer Educ Res J, 1969
Work performed persuant to grant number 1-06, 1819-2240 from the U.S. Office of Education.
Descriptors: Behavioral Science Research, Career Choice, Mathematical Models, Probability

Radecki, Tadeusz – Journal of Documentation, 1982
Presents and discusses the results of research into similarity measures for search request formulations which employ Boolean combinations of index terms. The use of a weighting mechanism to indicate the importance of attributes in a search formulation is described. A 16-item reference list is included. (JL)
Descriptors: Information Retrieval, Mathematical Models, Measurement Techniques, Probability

Holt, D. – Sociological Methods and Research, 1979
Two techniques for interpretation of fitted log-linear models in contingency table analysis are discussed. The use of odds ratios as opposed to direct interpretation of the fitted model is argued for. (Author/JKS)
Descriptors: Expectancy Tables, Goodness of Fit, Hypothesis Testing, Mathematical Models