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Direct linkHoogland, Kees; Pepin, Birgit; de Koning, Jaap; Bakker, Arthur; Gravemeijer, Koeno – Research in Mathematics Education, 2018
This article reports on a "post hoc" study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students' results in solving contextual mathematical problems with either a descriptive or a depictive…
Descriptors: Word Problems (Mathematics), Mathematics Instruction, Academic Achievement, Foreign Countries
Download full textOsler, James Edward, II – Journal of Educational Technology, 2018
This monograph provides in-depth mathematical logic as the foundational rationale for the novel and innovative online instructional methodology called the 4A Metric Algorithm. The 4A Metric has been designed to address and meet the meta-competency-based education challenges faced by 21st century students who must now adapt to and learn in a…
Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, Electronic Learning
Greefrath, Gilbert; Hertleif, Corinna; Siller, Hans-Stefan – ZDM: The International Journal on Mathematics Education, 2018
The use of digital tools in mathematics lessons has recently gained in significance, especially because of ongoing technical developments. Particularly in the context of mathematical modelling, digital tools have become more and more important. They have been deployed for many years and are currently being intensively discussed from a didactical…
Descriptors: Mathematical Models, Mathematics Education, Geometry, Computer Uses in Education
Carlson, James E. – ETS Research Report Series, 2014
Many aspects of the geometry of linear statistical models and least squares estimation are well known. Discussions of the geometry may be found in many sources. Some aspects of the geometry relating to the partitioning of variation that can be explained using a little-known theorem of Pappus and have not been discussed previously are the topic of…
Descriptors: Least Squares Statistics, Geometry, Geometric Concepts, Statistical Analysis
Heiser, Willem J. – Psychometrika, 2004
Categories can be counted, rated, or ranked, but they cannot be measured. Likewise, persons or individuals can be counted, rated, or ranked, but they cannot be measured either. Nevertheless, psychology has realized early on that it can take an indirect road to measurement: What can be measured is the strength of association between categories in…
Descriptors: Psychometrics, Classification, Sociometric Techniques, Geometric Concepts
Timm, Neil H.; Carlson, James E. – Multivariate Behavioral Research Monographs, 1975
Simplicity and flexibility of the full rank linear model motivated this paper which introduces researchers to the theory necessary to understand the model and apply the theory in the analysis of some standard fixed effects experimental designs. The theory and examples should help researchers use the model as an experimental tool and a model for…
Descriptors: Analysis of Variance, Computer Programs, Geometry, Hypothesis Testing
