Reasoning About Proportional Lumpability
In this paper we reason about the notion of proportional lumpability, that generalizes the original definition of lumpability to cope with the state space explosion problem inherent to the computation of the performance indices of large stochastic models. Lumpability is based on a state aggregation technique and applies to Markov chains exhibiting some
Carla Piazza, Sabina Rossi
openaire +1 more source
STUDENTS’ PROPORTIONAL REASONING IN MATHEMATICS THROUGH COVID-19 PANDEMIC CONTEXT
The aim of this study was to ascertain high school students' proportional reasoning in the sense of the COVID-19 pandemic. How do students' thoughts flow when confronted with problems requiring proportional reasoning?
Rohati Rohati +2 more
doaj +1 more source
Investigating the skills of junior high school students in posing problems in field of proportional reasoning [PDF]
This study investigates the skills of junior high school students in posing problems in the field of proportional reasoning. This study, by considering purpose and implementation consecutively, is applied and descriptive (survey type) in nature.
Hamidreza Barkhordari +2 more
doaj +1 more source
Drawing Area-Proportional Euler Diagrams Representing Up To Three Sets [PDF]
Area-proportional Euler diagrams representing three sets are commonly used to visualize the results of medical experiments, business data, and information from other applications where statistical results are best shown using interlinking curves ...
Howse, John +3 more
core +1 more source
Proportional reasoning in the laboratory: an intervention study in vocational education [PDF]
AbstractBased on insights into the nature of vocational mathematical knowledge, we designed a computer tool with which students in laboratory schools at senior secondary vocational school level could develop a better proficiency in the proportional reasoning involved in dilution.
Bakker, Arthur +4 more
openaire +2 more sources
Assessing the Effect of Visualizations on Bayesian Reasoning through Crowdsourcing [PDF]
People have difficulty understanding statistical information and are unaware of their wrong judgments, particularly in Bayesian reasoning. Psychology studies suggest that the way Bayesian problems are represented can impact comprehension, but few visual ...
Dragicevic, Pierre +2 more
core +1 more source
Analogical Proportions and Analogical Reasoning - An Introduction [PDF]
Analogical proportions are statements of the form “a is to b as c is to d”. For more than a decade now, their formalization and use have raised the interest of a number of researchers. In this talk we shall primarily focus on their modeling in logical settings, both in the Boolean and in the multiple-valued cases.
Prade, Henri, Richard, Gilles
openaire +2 more sources
Developing a Two-Tier Proportional Reasoning Skill Test: Validity and Reliability Studies
The main aim of this study is to develop a useful, valid, and reliable two-tier proportional reasoning skill test for middle school 7th and 8th-grade students. The research was carried out using the sequential explanatory mixed method. The study group of
Kübra Açıkgül
doaj +1 more source
A Survey of Euler Diagrams [PDF]
Euler diagrams visually represent containment, inpresstersection and exclusion using closed curves. They first appeared several hundred years ago, however, there has been a resurgence in Euler diagram research in the twenty-first century.
Rodgers, Peter
core +1 more source
Comparing probabilities in urns: A study with primary school students
The study aimed to explore the strategies used by Costa Rican primary school students when comparing urn probabilities. The sample was intentional and consisted of 55 6th graders.
Luis Armando Hernández-Solís +3 more
doaj +1 more source

