• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.59-67
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• 1998

Probability and statistics is an important section in mathematics which is deeply related to everyday living, natural science and social science. In spite of its importance, many students will throw away it because it becomes very harder as its step(stage) deepens and probability and statistics' relative importance is very small in Korea-SAT(the test of college entrance in Korea). Therefore, by analyzing the involvement carefully between the curriculum in the elementary, middle, high school and the text book, by studying the problem and improvement direction, it is necessary to investigate an effective teaching method. This study intends to give the students the confidence, interests, and accomplishment motive about probability and statistics field and to make a rational and creative decision-making through mathematical speculation by proposing an effective teaching method through analyzing an existing facts in school's probability and statistics field. The contents of this study are composed of four chapters. Chapter three looks into the mathematical curriculum in the elementary, middle, high school and its teaching meaning, the outline of contents, some tips on teaching and problems and presents an effective and concrete teaching method on the basis of the theoretical background in the chapter two. Chapter four is a conclusive part and gives the general improvement and intentional direction in educating the probability and statistics.

• Journal of Elementary Mathematics Education in Korea
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• v.5 no.1
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• pp.55-75
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• 2001

The purpose of this paper is to find out the full extent of abilities of elementary students on area of operations and the effects on student's affective domain toward mathematics, after providing 3rd grade students with Skemp's play activities instead of providing activities suggested in the textbook of 7th curriculum. For this study, we will first analyse new elementary mathematics curriculum of 3rd grade and then explore mathematical factors for play activities related to operational sections. The play activities are revised from that of Skemp's for our classroom circumstances, but the ideas included from Skemp's such as thinking aloud were not changed. The experimental group while consists of 39 students were taught Skemp's play activities instead of usual textbook activities for 30 hours for the second term. In all other area, both the experimental group and the comparative group were taught the same contents. Statistical data is as follows 1) In addition and subtraction, the experimental group had 5.6% higher score than the comparative's, but the difference of mean of the both groups is not significant within 5% level. 2) In multiplication and division, the experimental group had 7.8% higher score than the comparative's and also the difference of mean of the beth within 5% level is significant. 3) When measured the effects in affective domain, the interests, attitude, and values for mathematics had about 10% higher score after the experiment than before the experiment. So we conclude that Skemp's activities are more effective than the activities suggested in the textbook on the area of operations, especially in multiplication and division.

• The Mathematical Education
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• v.50 no.3
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• pp.263-284
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• 2011

We took note of the fact that there were not many studies on improvement of mathematics learning in the field of statistics for the minority students from the families who belonged to the Low-SES. This study was to help them understand the concepts and principles of mathematics, motivate them for mathematics learning, and have them feel familiar with it. The subjects were 12 students from the low-SES families among the sophomores of 00 High School in Gyeonggi-do. Although it could not be achieved effectively in the short-term of learning for the slow learners, their understanding of basic concepts and confidence, interests and concerns in statistical learning were remarkably changed, compared to their work in the beginning period. Our discourse classes using various topics and examples were well perceived by the students whose performance was improved up to the 3rd thinking level of Mooney's framework. Also, a meaningful instructional model for slow learners(IMSL) was found through the discourse.

• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.55-66
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• 1999

In mathematics education, teaching-learning activity can be divided largely into the understanding the mathematical concepts, derivation of principles and laws acquirement of the mathematical abilities. We utilize various media, teaching tools, audio-visual materials, manufacturing materials for understanding mathematical concepts. But sometimes we cannot define or explain correctly the concepts as well as the derivation of principles and laws by these materials. In order to solve the problem we can use the computer. In this paper, ′the process of the length of curve being equal to the sum of the vectors when intervals get smaller′ and ′the process of calculating volume of spinning curve by using definite integral.′ Using the computers is more visible than other educational instruments like blackboards, O.H.Ps., etc. Also it can help students with solving mathematical problems intuitively. Consequently more effective teaching-learning activity can be done. Usage of computers is the best method for improving the mathematical abilities because computers have functions of the immediate reaction, operation, reference and deduction. One of the important characters of mathematics is accuracy, so we use computers for improving mathematical abilities. This paper is about the program focused on the part of "the application of definite integral", which exists in mathematical curriculum the second and third grade of high school. When this study is used for students as assisting materials, it is expected the following educational effect. 1. Students will have precise concepts because they can understand what they learn intuitively. 2. Students will have positive thought by arousing interests of learning because this program is composed of pictures, animations with effectiveness of sound. 3. It is possible to change the teacher-centered instruction into the student-centered instruction. 4. Students will understand the relation between velocity and distance correctly because they can see the process of getting the length of curve by vector through the monitor. For the purpose of increasing the efficiencies and qualities of mathematics education, we have to seek the various learning-teaching methods. But considering that no computer can replace the teacher′s role, teachers have to use the CIA program carefully.

• East Asian mathematical journal
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• v.30 no.2
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• pp.149-172
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• 2014

The problems of optimization addressed in the high school curriculum are usually posed in real-life contexts. However, because of the instructional purposes, problems are artificially constructed to suit computation, rather than to reflect real-life problems. Those problems have thus limited use for teaching 'practicalities', which is one of the goals of mathematics education. This study, by utilizing 'GeoGebra', suggests the optimization problem solving related to the quadratic curve, using the contour-line method which contemplates the quadratic curve changes successively. By considering more realistic situations to supplement the limit which deals only with numerical and algebraic approach, this attempt will help students to be aware of the usefulness of mathematics, and to develop interests in mathematics, as well as foster students' integrated thinking abilities across units. And this allows students to experience a variety of math.

• Journal of the Korean School Mathematics Society
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• v.21 no.3
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• pp.227-245
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• 2018

Debates of calculators in mathematics lessons sometimes have happened in both countries that students rarely use calculators in math lessons including Republic of Korea and countries that students usually use calculators in math lessons. Korea has tried to activate usage of calculators in math lessons as the revision of national math curriculums and the development the strategies to support schools and math teachers. On the other hand, Singapore has the different educational strategies to use calculators in math lessons, but students have higher math achievements in TIMSS and interests in math lessons than Korea. This study intended to study the difference between Korea and Singapore on the usage of calculators in math lessons. To accomplish this, the study compared math curriculums of two countries on the usage of calculators and analysed TIMSS 2015 related with the survey items about calculators in math lessons. This study results in some suggestions that we should do in oder to use calculators in math lessons effectively.

• The Journal of the Korea Contents Association
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• v.7 no.9
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• pp.248-256
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• 2007

The purpose of this study is to design, develope, and deploy of online game content in middle school mathematics. This study analyzed related literature review, case studies, and educational game web sites for seeking better applicable design strategies. After serious discussion with experts based the design ideas, this study established its own educational game design model and it was applied to develop algebraic function lesson for middle school students. The developed content also was deployed in real classroom setting to see how students received the game contents and how. well they processed the design procedures and activities. We found that educational online game content, especially when applied to mathematics subject, can be effective in students interests and their motivations. We also observed that there were a few managerial errors such as need for detailed guidance for game, cumulative game results for later feedback, and so on. This study concluded that educational game contents should be able to widely spread out to get students' learning interests and strong motivation as well. We suggest that related research should be done toward to other subject than mathmatics and various students age groups.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.213-235
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• 2013

The purpose of this study is to analyze how the teaching activities which used EXCEL influence the specialized high school underachieved students. They have difficulties in making use of various representations for better understanding of function. EXCEL is helpful for learning function because it enables the students to use real life materials in math learning as well as formulates Tabular, Algebraic and Graphical which represent function. Furthermore, the students in specialized high school also have the experience of using EXCEL while studying other subjects. For that reason they have no burdens and fears on using EXCEL in learning activities. Utilizing EXCEL in the classroom gives an expectation that it helps to have interests on studying function and prepare for the next learning in the end. Research classes were conducted in a group of five students who have different hopes of career and a variety of mathematical interests. Though the students couldn't transfer Algebraic to Graphical in the diagnostic evaluation, they could resolve the problem of connections between Graphical, Tabular and Algebraic in the process perspectives, and could also express graphical representation by linking object perspectives with process perspectives. Therefore, they solved the connection problem of Tabular, Algebraic and Graphical in the object perspectives. As a result, the students could make transitions between Algebraic and Graphical in object perspectives through the classes applying EXCEL. Consequently, teaching the students with underachievement utilizing EXCEL enables them to recover their interests on math and it helps them to complete their following curriculum.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.139-149
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• 1998

The purpose of this study is to check out whether the method that students make problems and anouence them to both students and teacher in the next class influence on the students' intersts, attitudes, logical thinking ability and lerning achievement in mathematics. The following is the experimental design and procedure. First, the author divided students into two groups. One is the experimental group and the other is the control group. These two groups' students consist of the advanced level, the intermediate level and the elementary level according to the students' learning proficiency Second, the author used the different teaching method between the experimental group and the control group. The author gave the experimental group's students the learning assignment problems according to their three levels and made students present the problems to the instructor and classmates in the next class. On the other hand, the author gave the control group's students learning assignment problems according to their three levels, and made them only submit their assingment to the instructor. The results of this study are as follows : 1)The method of solving and presenting the self-made problems on the basis of the informations to solve the given preceding model learning problems according to students' levels made students' learning attitudes more positive even though the method couldn't enhance the students' interests in mathematics. 2)The method of solving and presenting the self-made problems was effective to improve the logical thinking ability for especially the intermediate level's students among the three levels. In addition, the intermediate level's students showed great positive changes in their improvements of the learning achievment. It is assumed that this result is caused by two major factors(reasons). One is students' confidence that they can solve the fundamental problems without difficulty. And the other is students' desire to solve the problems of the intermediate level or more advanced level.

• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.157-177
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• 2001

Modern society's technological and economical changes require high-level education that involve critical thinking, problem solving, and communication with others. Thus, today's perspective of mathematics and mathematics learning recognizes a potential symbolic relationship between concrete and abstract mathematics. If the problems engage students' interests and aspiration, mathematical problems can serve as a source of their motivation. In addition, if the problems stimulate students'thinking, mathematical problems can also serve as a source of meaning and understanding. From these perspectives, the purpose of my study is to prove that mathematical modeling tasks can provide opportunities for students to attach meanings to mathematical calculations and procedures, and to manipulate symbols so that they may draw out the meanings out of the conclusion to which the symbolic manipulations lead. The review of related literature regarding mathematical modeling and model are performed as a theoretical study. I especially concentrated on the study results of Freudenthal, Fischbein, Lesh, Disessea, Blum, and Niss's model systems. We also investigate the emphasis of mathematising, the classified method of mathematical modeling, and the cognitive nature of mathematical model. And We investigate the purposes of model construction and the instructive meaning of mathematical modeling. In conclusion, we have presented the methods that promote students' effective model construction ability. First, the teaching and the learning begins with problems that reflect reality. Second, if students face problems that have too much or not enough information, they will construct useful models in the process of justifying important conjecture by attempting diverse models. Lastly, the teachers must understand the modeling cycle of the students and evaluate the effectiveness of the models that the students have constructed from their classroom observations, case study, and interaction between the learner and the teacher.