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Ernesto Sánchez; Victor Nozair García-Ríos; Francisco Sepúlveda – Educational Studies in Mathematics, 2024
Sampling distributions are fundamental for statistical inference, yet their abstract nature poses challenges for students. This research investigates the development of high school students' conceptions of sampling distribution through informal significance tests with the aid of digital technology. The study focuses on how technological tools…
Descriptors: High School Students, Concept Formation, Thinking Skills, Skill Development
García, Víctor N.; Sánchez, Ernesto – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
In the present study we analyze how students reason about or make inferences given a particular hypothesis testing problem (without having studied formal methods of statistical inference) when using Fathom. They use Fathom to create an empirical sampling distribution through computer simulation. It is found that most student´s reasoning rely on…
Descriptors: High School Students, Logical Thinking, Hypothesis Testing, Computer Simulation
O'Hara, Michael E. – Journal of Economic Education, 2014
Although the concept of the sampling distribution is at the core of much of what we do in econometrics, it is a concept that is often difficult for students to grasp. The thought process behind bootstrapping provides a way for students to conceptualize the sampling distribution in a way that is intuitive and visual. However, teaching students to…
Descriptors: Economics Education, Economics, Sampling, Statistical Inference
Wanjala, Martin M. S.; Aurah, Catherine M.; Symon, Koros C. – Journal of Education and Practice, 2015
The paper reports findings of a study which sought to examine the pedagogical factors that affect the integration of computers in mathematics instruction as perceived by teachers in secondary schools in Kenya. This study was based on the Technology Acceptance Model (TAM). A descriptive survey design was used for this study. Stratified and simple…
Descriptors: Foreign Countries, Computer Uses in Education, Technology Integration, Teacher Surveys
Web-Based Tools for Modelling and Analysis of Multivariate Data: California Ozone Pollution Activity
Dinov, Ivo D.; Christou, Nicolas – International Journal of Mathematical Education in Science and Technology, 2011
This article presents a hands-on web-based activity motivated by the relation between human health and ozone pollution in California. This case study is based on multivariate data collected monthly at 20 locations in California between 1980 and 2006. Several strategies and tools for data interrogation and exploratory data analysis, model fitting…
Descriptors: Conservation (Environment), Charts, Statistical Inference, Pollution
Johnson, H. Dean; Evans, Marc A. – Australian Mathematics Teacher, 2008
Understanding the concept of the sampling distribution of a statistic is essential for the understanding of inferential procedures. Unfortunately, this topic proves to be a stumbling block for students in introductory statistics classes. In efforts to aid students in their understanding of this concept, alternatives to a lecture-based mode of…
Descriptors: Class Activities, Intervals, Computer Software, Sampling
Frees, Edward W.; Kim, Jee-Seon – Psychometrika, 2006
Multilevel models are proven tools in social research for modeling complex, hierarchical systems. In multilevel modeling, statistical inference is based largely on quantification of random variables. This paper distinguishes among three types of random variables in multilevel modeling--model disturbances, random coefficients, and future response…
Descriptors: Prediction, School Effectiveness, Statistical Inference, Geometric Concepts