• Journal of The Korean Association For Science Education
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• v.25 no.7
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• pp.787-793
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• 2005

The purposes of this study were to investigate the development of probabilistic thinking in relation to the cognitive level of elementary school students and to analyze the effects of probability activities in Thinking Science(TS) program on the development of probabilistic thinking. 152 6th grade elementary school students compiled the sample group which was divided into an experimental group and a control group. Probability activities in TS program were used with the experimental group, while the normal curriculum was conducted with the control group. Both the experimental and control group were assessed with Science Reasoning Task II and a probabilistic thinking test before execution of this investigation and were post-tested with probabilistic thinking test after the project period was complete. Results of this study showed that the students in the concrete operational stage and transitional stage used subjective strategy together with quantitative strategy in probability problem-solving, and students in the early formal operational stage used quantitative strategy in probability problem-solving. It was also found that the higher the cognitive level of students, the higher the probabilistic thinking level. The probability activities of the TS program influenced the development of probabilistic thinking of elementary school students. Assessing the development of probabilistic thinking on the basis of the cognitive level found that the level of effectiveness was significantly higher for students in the early concrete operational stage and transitional stage than students in any other stage.

• School Mathematics
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• v.11 no.1
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• pp.1-15
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• 2009

Some researchers (Jones et al., 1997; Tarr & Jones, 1997; Tarr & Lannin, 2005) have worked on students' probabilistic thinking framework. These studies contributed to an understanding of students' thinking in probability by depicting levels. However, understanding middle school students' probabilistic thinking is limited to the concepts in conditional probability and independence. In this study, the framework to understand middle school students' thinking in probability is integrated on the works of Jones et al. (1997), Polaki (2005) and Tarr and Jones (1997). As in their works, depicting levels of probabilistic thinking is focused on the concepts and skills for students in middle school. The concepts and skills considered as being necessary for middle school students were integrated from NCTM documents and NAEP frameworks.

• Journal of Gifted/Talented Education
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• v.20 no.1
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• pp.151-173
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• 2010

Several researches have been done on the meaning of probabilistic thinking level and its pedagogical implication. However, there is lack of trials of using topics in probability to educate mathematically gifted students. As a result, we don't have sound understanding on gifted students' probabilistic thinking level and how to facilitate it through educational program. This study examines the meaning of probabilistic thinking level, develops and applies tasks in probability for gifted education. Having the analysis of the student responses, this study tries to investigate how teachers who participate in an in-service teacher education program interpret the developed tasks and student responses. In conclusion, this study shows the possible approach of gifted education using probability tasks to facilitate gifted students' probabilistic thinking level and its potential in identification of giftedness through observation.

• Journal of the Korean Chemical Society
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• v.47 no.2
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• pp.165-174
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• 2003

The purposes of this study were to investigate the correlation between the cognitive level and the probabilistic thinking level and to analyze the effects of the probability activities in Thinking Science (TS) program on the development of probabilistic thinking. The 219 7th grade students were sampled in the middle school and were divided into an experimental group and a control group. The probability activities in TS program were implemented to the experimental group, while only normal curriculum was conducted in the control group. The results of this study showed that most of 7th grade students were in the concrete operational stage and used both subjective and quantitative strategy simultaneously in probability problem solving. It was also found that the higher the cognitive level of the students, the higher the probabilistic thinking level of them. The sample space and the probability of an event in the constructs of probability were first developed as compared to the probability comparisons and the conditional probability. The probability activities encouraged the students to use quantitative strategy in probability problem solving and to recognize probability of an event. Especially, the effectiveness was relatively higher for the students in the mid concrete operational stage than those in any other stage.

• Journal of Korean Elementary Science Education
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• v.32 no.4
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• pp.485-494
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• 2013

The purpose of this study was to know that the 'Thinking Science' activities affects the enhancement of critical thinking skill by the logical thinking skill about pupils in the $5^{th}$ and $6^{th}$ grade of elementary school in Korea. The 19 activities of 'Thinking Science' as the teaching materials was implemented to 40 pupils in elementary school over 13 weeks. Results indicated that the experimental group presented statistically meaningful improvement in logical thinking skills(p<.05). Those teaching materials contributed to improve 3 logical sub-elements significantly(p<.05) as the proportional logical element, the probabilistic logical element, and combinational logical element. But, there was no significant improvement in conservational logical element, control of variable element, and correlational element(p<.05).

• Journal of Science Education
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• v.33 no.1
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• pp.69-76
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• 2009

Probabilistic reasoning and combinational reasoning are essential to build a logical thinking and a process of thinking dealing with everyday life as well as scientific knowledge. This research aims at finding the optimal period to teach reasoning to the students who haven't developed probabilistic reasoning and combinational reasoning. The treatment program was performed for 20 students from each grade who couldn't develop two parts of reasoning. The treatment program using baduk stones and cards was performed repeatedly, focusing on the specific activities. After four weeks of treatment program, the test to check the development of probabilistic reasoning and combinational reasoning was performed again and the changes of reasoning development were identified. After giving treatment program for reasoning development, 15.0%, 25.0% and 40.0% of improvement in the 4th, the 5th, the 6th graders respectively were shown. With regard to the combinational reasoning, the results showed the improvement of 20.0% in the 4th grades, 25.0% in the 5th graders and 63.2% in the 6th graders. As a result of research in the above, students, who were not formed probabilistic reasoning and combinational reasoning, could be known to be enhanced through learning, but to fail to be formed the qualitative change like the cognitive development. It is expected that this research can contribute to the improvement of students' cognitive level and there would be more active researches in different fields to improve the cognitive level of the 6th graders who are in their optimal periods to learn two parts of reasoning.

• The Mathematical Education
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• v.51 no.3
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• pp.301-321
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• 2012

Since research has barely been done on the minority with low-achievement & low-SES in probability, this research attempted to search the change of their thinking level in the classes of probability and motivate them on the mathematical learning to feel confident in mathematics. We can say that the problems of the educational discriminations are due to the overlook on the individual conditions, situations, and environments. Therefore, in order to resolve some discrimination, 4 students who belonged to the minority group, engaged in the research, based on 10 units of the instructional materials designed for the research. As a result, for the student's thinking level, it was observed that they were improved from the 1st to the 3rd level in probability. Also, the researcher found that the adequate use of the encouragement, the praise, the direct explanation, and the scaffolding enabled them to prompt their learning motives and the increased responsibility on the learning. As time passed, the participants could share their mathematical knowledge and its concept with others, in the increased confidence.

• Journal of The Korean Association of Information Education
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• v.14 no.4
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• pp.555-560
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• 2010

The purpose of this study is to investigate the effect of learning algorithm which uses real-life examples including the concept of algorithm on the logical thinking of elementary school students. For this purpose, the experiment was performed by pre-GALT test, a case selection of algorithm which can be taught in real-life, experiment treatment after completing teaching plan, post-GALT test, and paired sample t-test on the results of pre and post GALT in order. As a result, changes in the degree of logical thinking ability and in five sub-regions(conservative logic, proportional logic, combinatorial logic, probabilistic logic, controlling variables) composing of logical thinking obtained statistically significant results in .05 significance level but changes in the correlational logic couldn't obtain the significant results.

• Computers and Concrete
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• v.18 no.1
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• pp.69-97
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• 2016

Performance-based remaining life assessment of reinforced concrete bridge girders, subject to chloride-induced corrosion of reinforcement, is addressed in this paper. Towards this, a methodology that takes into consideration the human judgmental aspects in expert decision making regarding condition state assessment is proposed. The condition of the bridge girder is specified by the assignment of a condition state from a set of predefined condition states, considering both serviceability- and ultimate- limit states, and, the performance of the bridge girder is described using performability measure. A non-homogeneous Markov chain is used for modelling the stochastic evolution of condition state of the bridge girder with time. The thinking process of the expert in condition state assessment is modelled within a probabilistic framework using Brunswikian theory and probabilistic mental models. The remaining life is determined as the time over which the performance of the girder is above the required performance level. The usefulness of the methodology is illustrated through the remaining life assessment of a reinforced concrete T-beam bridge girder.

• Korean Institute of Interior Design Journal
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• no.6
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• pp.28-37
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• 1995

As we approach the end of the twentieth century, it seems we need a new way to express the thoughts, needs, and values that are undergoing a drastic change and a new strategy to create diverse cultural forms that would reflect and incorporate such changes. In this study, I am introducing the chaos theory as a new way of thinking that would help counterbalancing the deter-ministic world-view and forging a harmonious unity of man and his environment. As a creative principle, the theory seems to offer an unlimited number of structural possibilities for art and design. In fine, this study discuss-es the reductive nature of modernist approach and offer instead the chaos theory that is more probabilistic and capable of greater diversity.