• Communications of Mathematical Education
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• v.28 no.4
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• pp.457-474
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• 2014

Recently, with the development of technology, intuitive understanding of abstract mathematical concepts through visualizations is growing in popularity within college mathematics. In this study, we introduce free visualization tools developed for better understanding of topics which students learn in Calculus. We visualize important concepts of Calculus as much as we can according to the order of most Calculus textbooks. In this process, we utilized a well-known, free mathematical software called GeoGebra. Finally, we discuss our experience with visualizations in Calculus using GeoGebra in our class and discuss how it can be effectively adopted to other university math classes and high school math education.

• The Mathematical Education
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• v.49 no.3
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• pp.353-373
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• 2010

This research was to help slow learners to be motivated and to make their outcome productive, using GSP based on the mathematization theory for learning mathematics, as a way of encouraging the learner-centered approach. With 2 of the second graders in a high school, who had not yet understood trigonometric functions in their first grade period, 7 units of lesson plans were designed for the research. The results showed that first, understanding real life contexts and analyzing properties by observation, and experiment using GSP, to build the concept of trigonometric functions could be a foothold on which learner's organization and outcome from a horizontal mathematization led to vertical mathematization. Despite the delay during the level-up-stage for a while, the learners could attain the vertical mathematization stage and moreover the applicative mathematization through effective use of GSP and the interaction between the learners or a teacher and the learners. Second, using GSP was a vertical tool of connecting horizontal mathematization with vertical mathematization in forming the concept of trigonometric functions and its meaning could be understood by their verbalizing and presenting the outcomes through their active performance. Using GSP is helpful for slow learners to overcome learning difficulties, based on the instructional materials designed by Realistic Mathematics Education.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.863-885
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• 2009

In the era of wireless internet, we are apt to use a mobile phone for learning mathematics, besides the pc computer and the notebook computer. This study was to investigate the effect of M-learning when students were given a wireless mobile phone in terms of their perspectives towards the use of a mobile phone, achievement and attitudes towards mathematics. They were the 3th grader in a high school, who were expected to take Aptitude Test for the entrance of the university level. The most students who took an ubiquitous environment of M-learning showed it as a benefit for learning mathematics and did not spend time at other activities such as listening to music, sending text-message, playing games, etc, but at the M-learning activities. The students who engaged in the M-learning activities were improved a significantly higher score at Aptitude Test than the students who took the make-up courses in the school and also did a significantly higher disposition towards mathematics which was caused by curiosity among 7 components of the mathematical disposition.

• The Mathematical Education
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• v.46 no.1 s.116
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• pp.97-122
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• 2007

This article provides how to implement the use of Realistic Mathematics Education (RME) in a teaching a function at a school to improve students' mathematization for their mathematical thinking using technology, This study was planed to get research results using the mixed methodology with quantitative and qualitative methodologies. 120 middle school students participated in the study to bring us data about their mathematical achievement and disposition. Through the data analysis used ANCOVA, the students with the experiment of the mathematization and technology excelled the other groups of students who were not provided with technology or both of them. In analysis of the questions of the achievement test, the problems for vertical mathematization were presented harder for the students than the other problems for horizontal and applicative mathematization. The technology environment might have helped students manipulate the application of real-life problems easier. This means that teachers can put more careful assignment on vertical mathematization using technology. We also explored that learning and teaching under RME using technology encouraged students to refine and develop their informal functional concept and pursue higher thinking of formalization. The study results in a lot of resources for teachers to use into their teaching mathematics for improving students' mathematical thinking.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.241-255
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• 2017

The 4th industrial revolution is coming. In order to prepare for the new learning environment with it, we may need digital mathematics textbooks that fully utilize all possible technologies. So various attempts have been made in elementary and middle school mathematics education. However, despite the importance of higher mathematics, we haven't seen a best possible math digital textbooks yet in Korea. In this paper, we introduce our new model of interactive math digital textbook about Linear Algebra/ Calculus/ Differential Equations/ Statistics/ Engineering Math. Especially, this manuscript focuses on our experience of using digital contents and interactive labs for developing a new model for linear algebra digital textbook. We introduce our works on linear algebra digital textbooks which include pdf e-book, web contents, video clips of lectures, interactive lab. Using this linear algebra digital textbook, students can freely use any mobile devices to access diverse learning materials, lessons, and hands-on exercises without any limitations. Also, times saved in the computation, coding, and typing process can be used to have more discussions for deeper understanding of mathematical concepts. This type of linear algebra digital textbook, which contains all interactive free cyber-lab with codes and all lectures for each sections, can be considered as a new model for the next generation of math digital textbook.

• Journal of Digital Convergence
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• v.19 no.10
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• pp.63-73
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• 2021

Sudden implementation of online classes in higher education due to Covid19 pandemic implies a lot of worries about academic performance declining. Thus, this paper analyzed a class(CalculusI) taught 100% online which was the same as the offline class before. This class tried to maintain the same quality as the offline one by utilizing various teaching strategies. The result shows the academic achievement level was similar or higher than that of offline class, and so was the students' perception and satisfaction degree. However, this was not just the outcome of online class, but it came from the professor's well-designed teaching plan and smooth operation of the class. It implicates successful teaching methodology is more important factor than such medium difference as online or offline. This study suggests the potential of online classes after the Covid19 pandemic, and expects further studies verify the result in a lot more curricula.

• Journal of Digital Convergence
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• v.17 no.8
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• pp.71-80
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• 2019

It is very important to have pre-service teachers enhance actual content development skill for STEAM classes through deep understanding of the concept. Thus the purpose of the study is to explore the educational methodology for improving pre-service teachers' competence of designing STEAM classes. The research performed with 17 pre-service teachers from Y university and 15 from S university in 2015. It includes blended learning methodology mixing online and offline classes. The result revealed that the students' perception on and the materialization skill of the STEAM education was improved by the methods of Lesson Study and blended learning. A positive result also came out in the respect of the perception on teaching with technology.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.557-573
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• 2006

The purpose of this study is to examine the usefulness of teaching Maple in College Mathematics Education. The subject are 60 students of college of science in H university and C university located in Daejeon. They were divided into two parts; an experimental group (group I, group II, each of 20 students) and a control group (group III of 20 students). The group I and II are provided calculus lecture in class as well as Maple lab, while group III are lectured only in class. In order to know the effectiveness of using Maple, a test is designed in the way that group I is allowed to use both pencil and Maple, while group II and III are restricted to use only pencil. The result of this study is as follows. i) According to the performance of testing exam, there is no significant difference between three groups (p>.05) when they are allowed to use only pencil. ii) The achievement of group I is much higher than that of group II and III (p<.05) when they were provided both pencil and Maple. iii) Lot of students in group I who fail to solve with pencil can succeed in solving problems using Maple.