Interactive Learning Environment Supporting Visualization in the Teaching of Probability

Lukáč, Stanislav; Gavala, Tadeáš

doi:10.2478/ijicte-2019-0005

Cited by 4 publications

(5 citation statements)

References 17 publications

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“…According to Lukác and Gavala (2019), teaching probability, like other areas of mathematics, should incorporate visual and interactive methodologies that the student can manipulate to develop the ability to solve problems and achieve greater motivation towards learning. Mezhennaya and Pugachev (2018) showed the impact an interactive computational system had on teaching probability to a group of students.…”

Section: Gamification and Interactive Computational Methodsmentioning

confidence: 99%

A study on mathematics students’ probabilistic intuition for decision-making in high school

Ramírez-Contreras,

Zúñiga-Silva,

Ojeda-Gómez

2023

INT ELECT J MATH ED

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This paper reports on an exploratory study about probabilistic intuition in learning mathematics for decision-making. The analysis was carried out on a group of high school students in relation to their probabilistic intuition in problem-solving, after performing playful learning activities on a simulation platform specifically designed for this study. The analysis used a mixed qualitative-quantitative method. The results showed that the simulation activities facilitated the students’ probabilistic intuition and boosted their performance in solving problems, particularly avoiding decisions based on previous results (when unnecessary) and identifying situations, where binomial distribution can be used.

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Section: Gamification and Interactive Computational Methodsmentioning

confidence: 99%

A study on mathematics students’ probabilistic intuition for decision-making in high school

Ramírez-Contreras,

Zúñiga-Silva,

Ojeda-Gómez

2023

INT ELECT J MATH ED

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“…The concept of probability seems too abstract for many students. For this reason, mathematical problems based on real ideas and situations are used to teach probability (Lukáč & Gavala, 2019). Examples include gambling, sports competitions, and drug effectiveness testing.…”

Section: Visual Perception In Teaching Probabilitiesmentioning

confidence: 99%

“…In fact, Binder et al (2020) showed in their research that frequency nets often show better results in probabilistic problems. Another example is the tangram, which can be used to understand the multiplication rule in solving probability problems (Lukáč & Gavala, 2019). To the above examples of visual representations in probabilities, one could also add the unit square with natural frequencies (Böcherer-Linder et al, 2016).…”

Section: Visual Perception In Teaching Probabilitiesmentioning

confidence: 99%

Research on visualization in probability problem solving

Zorzos

Avgerinos

2023

EURASIA J Math Sci Tech Ed

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The importance of visual representations in education and mathematics is well known. Probabilities are a domain in mathematics that uses many visual representations since their theory consists of a variety of diagrams and graphs. In the past, many studies have shown that the use of various representations in teaching probabilities can greatly improve learning. Of course, the use of a visual representation or a visual tool when teaching or solving an exercise can have a variety of roles. The present work is based on the ancillary and informative role of the image. The following research examines the extent to which students, by solving a probability problem, have the need to use a visual representation or image. Additionally, the differences in student performance are investigated, given the role of the image in the activity. This knowledge can improve the teaching methods of probabilities and, with their appropriate use, school textbooks. The results show that there are more perspectives but also needs for research on the use of visual representations for the teaching of probabilities. The presence of the image works as a motivating factor for children to solve a problem with a lack of probabilistic knowledge, but the role of the image affects their final performance.

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“…Quality assessment of business process models using the software solution According to [4], chosen quality measures, thresholds, and error probabilities are the following: 1) 𝑥 1 -is the measure "OR-SPLITS" with the threshold 𝑡 1 = 0.5 and probability 𝑝 1 = 0.09; 2) 𝑥 2 -is the measure "START-EVENTS" with the threshold 𝑡 2 = 2.5 and probability 𝑝 2 = 0.07; 3) 𝑥 3 -is the measure "END-EVENTS" with the threshold 𝑡 3 = 2.5 and probability 𝑝 3 = 0.05; 4) 𝑥 4 -is the measure "NODES" with the threshold 𝑡 4 = 31.5 and probability 𝑝 4 = 0.09. Using the probabilities multiplication rule of independent events [11], it is proposed to calculate the reverse probabilities -of not finding errors in a business process model:…”

Section: Fig 6 the Uml Component Diagrammentioning

confidence: 99%

A Software Solution for Quality Assessment of Business Process Models

Kopp¹,

Orlovskyi²,

Arbaouti³

2022

CSIT

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One of the primary tools of the BPM (Business Process Management) paradigm is business process modeling. Business scenarios can be presented in the form of graphical models that can be easily understood by both Information Technology (IT) professionals and non-IT professionals – business analysts, software customers, department heads, top managers, and other stakeholders interested in business process improvement – using business process modeling. Small and large businesses can capture their operations in the form of graphic diagrams using business process modeling as the fundamental tool of the BPM approach, which can then be brainstormed by business analysts to uncover ways to optimize organizational workflows. Typically, business process improvement is accomplished by the automation of operations that have been recognized as “bottlenecks” following analysis. However, analyzing a business process model is only viable if it is clear and correct in terms of compliance with both the notation used and the actual business process it reflects. Therefore, this work examines the structural measures of the BPMN (Business Process Model and Notation) business process model. It is assumed that business process models that violate business process modeling rules are neither understandable nor suitable for further work with them, which can also lead to various errors occurring during the stage of business process analysis, as well as the stage of its improvement and implementation of proposed changes, i.e., during development, testing, and maintenance of distinct software components, information system modules, and so on. The object of this work is a process of quality assessment of business process models created using the BPMN notation. The subject of this work is a software solution for the quality assessment of business process models. The goal of this work is the evaluation of a probability of errors in business process models to improve their quality.

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Interactive Learning Environment Supporting Visualization in the Teaching of Probability

Cited by 4 publications

References 17 publications

A study on mathematics students’ probabilistic intuition for decision-making in high school

A study on mathematics students’ probabilistic intuition for decision-making in high school

Research on visualization in probability problem solving

A Software Solution for Quality Assessment of Business Process Models

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