Journal Article10.2478/IJICTE-2019-0005
Interactive Learning Environment Supporting Visualization in the Teaching of Probability
Stanislav Lukáč,Tadeáš Gavala +1 more
- 01 Mar 2019
- Vol. 8, Iss: 1, pp 48-60
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TL;DR: The main objectives and the structure of an interactive worksheet, prepared in spreadsheet environment, in which students are guided to use the visualization to solve probability problems, and an evaluation of the results and experiences of problem solving in the teaching of probability at grammar schools.
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Abstract: Abstract The probability is exceptional in the teaching of mathematics because students often have difficulties to understand the basic terms and the problem solving strategies. Understanding lacks of the probability concept and various types of misconceptions arise from the misleading intuition and misinterpretations of experience with the stochastic phenomena. The probability concept seems too abstract to some students therefore it is advisable to use mathematical problems based on real-life ideas, such as drug efficacy testing, tests for diagnosing of diseases in medicine, sports competitions, and games. By eliminating misconceptions and improving understanding of the problem solving strategies, it is possible to use various types of visualization to solve problems from this field of mathematics. Tables and different types of graphic diagrams can help students to understand the basic rules and problem solving techniques. This paper describes the main objectives and the structure of an interactive worksheet, prepared in spreadsheet environment, in which students are guided to use the visualization to solve probability problems. The implementation of an automatic feedback enables to evaluate the students’ answers. In the case of incorrect answer, solutions of the additional tasks using tree diagram or a tangram are recommended to the students. Students can decide which type of the visualization is more understandable for them to solve the probability of random events. Solving different task sequences using the selected types of visualization allows more learning paths for students. The final part of the paper contains an evaluation of the results and experiences of problem solving in the teaching of probability at grammar schools.
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Citations
Problems in Probability
TL;DR: Sets, measure, and probability elementary probability discrete random variables continuous random variables limit theorems random walks as discussed by the authors, which is a generalization of the random walk limit theorem.
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Research on visualization in probability problem solving
TL;DR: In this article , the authors examined the extent to which students, by solving a probability problem, have the need to use a visual representation or image, and investigated the differences in student performance, given the role of the image in the activity.
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Attila Körei,Szilvia Szilágyi,Ingrida Vaičiulytė +2 more
- 18 Dec 2023
TL;DR: A STEAM-based methodology was developed and tested for teaching and learning the principal properties of the cardioid curve and it could be concluded that the four-component methodology is an effective didactic technique to facilitate the learning of the cardioid curve.
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A software solution for quality assessment of business process models
TL;DR: In this paper , the authors present a software solution for the quality assessment of business process models using the BPMN notation, and evaluate the probability of errors in the business process model to improve its quality.
A study on mathematics students’ probabilistic intuition for decision-making in high school
Alejandro Ramírez-Contreras,Leopoldo Zúñiga-Silva,Ezequiel Ojeda-Gómez +2 more
TL;DR: High school mathematics students' probabilistic intuition improved through playful learning activities on a simulation platform.
References
•Journal Article
Judgement under Uncertainty: Heuristics and Biases
5.7K
Judgement under Uncertainty: Heuristics and Biasses
TL;DR: The editors introduce the antecedents of their book as three lines of research developed in the 1950s and 1960s: the comparison of clinical and statistical prediction initiated by Paul Meehl, the study of subjective probability in the Bayesian paradigm introduced to psychology by Ward Edwards, and the investigation of heuristics and strategies of reasoning.
The role of visual representations in the learning of mathematics.
TL;DR: Visualization, as both the product and the process of creation, interpretation, and reflection upon pictures and images, is gaining increased visibility in mathematics and mathematics education as mentioned in this paper, and it can play an important role in the learning and the doing of mathematics.