Development and Usage of Interactive Digital Linear Algebra Textbook
이상구 Sanggu Lee , 이재화 Jae Hwa Lee , 박경은 Kyungeun Park
31(3) 241255, 2017
이상구 Sanggu Lee , 이재화 Jae Hwa Lee , 박경은 Kyungeun Park
DOI: JANT Vol.31(No.3) 241255, 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 ebook, 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 handson 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 cyberlab with codes and all lectures for each sections, can be considered as a new model for the next generation of math digital textbook.

Development and application of program for mathematically gifted students based on mathematical modeling : focused on Voronoi diagram and Delaunay triangulation
유홍규 Yu Honggyu , 윤종국 Yun Jonggug
31(3) 257277, 2017
유홍규 Yu Honggyu , 윤종국 Yun Jonggug
DOI: JANT Vol.31(No.3) 257277, 2017
The purpose of this research is divide into two kinds. First, develop the mathematical modeling program for mathematically gifted students focused on Voronoi diagram and Delaunay triangulation, and then gifted teachers can use it in the class. Voronoi diagram and Delaunay triangulation are Spatial partition theory use in engineering and geography field and improve gifted student`s mathematical connections, problem solving competency and reasoning ability. Second, after applying the developed program to the class, I analyze gifted student`s core competency.
Applying the mathematical modeling program, the following findings were given.
First, Voronoi diagram and Delaunay triangulation are received attention recently and suitable subject for mathematics gifted education.
Second,, in third enrichment course(Student`s Centered Mathematical Modeling Activity), gifted students conduct the problem presentation, division of roles, select and collect the information, draw conclusions by discussion. In process of achievement, high level mathematical competency and intellectual capacity are needed so synthetic thinking ability, problem solving, creativity and selfdirected learning ability are appeared to gifted students.
Third, in third enrichment course(Student`s Centered Mathematical Modeling Activity), problem solving, mathematical connections, information processing competency are appeared.

A Development of Self Learning Material for Mathematics Teachers` Understanding Galois Theory
신현용 Hyunyong Shin
31(3) 279290, 2017
신현용 Hyunyong Shin
DOI: JANT Vol.31(No.3) 279290, 2017
This study proposes a self learning material for understanding the key contents of Galois theory. This material is for teachers who have learned algebraic structures like group, field, and vector space which are related with Galois theory but do not clearly understand how algebraic structures are related with the solvability of polynomials and school mathematics. This material is likely to help them to overcome such difficulties. Even though proposed material is used mainly for self learning, the teachers may be helped once or twice by some professionals. In this article, two expressions `solvability of polynomial` and `solvability of equation` have the same meaning and `teacher` means inservice mathematics teacher.

The Effects of Parental Educational Involvement and Mathematical Attitude on Mathematics Learning Motivation and Mathematics Anxiety
정숙영 Jeong Suk Young , 허난 Huh Nan
31(3) 291312, 2017
정숙영 Jeong Suk Young , 허난 Huh Nan
DOI: JANT Vol.31(No.3) 291312, 2017
The purpose of this study is to analyze the effects of parental educational involvement and mathematical attitude perceived by students on math motivation and math anxiety. The results showed that parents` educational involvement had effect on students` motivation to learn mathematics and had a significant effect on mathematics anxiety. In addition, the parents `mathematical attitude has a significant effect on the motivation of the students, and the higher the mathematical attitude of the parents, the lower the mathematics anxiety of the students but the higher the students` mathematics anxiety. This suggests that even if the parents are educated, the parents can influence their motivation to learn mathematics, rather the more the achievement pressure becomes, the higher the educational involvement. In addition, the parents` mathematical attitude is independent of the degree of educational involvement, and parents can expect to increase their motivation to learn mathematics by nurturing with positive and positive perceptions and attitudes. In order to do this, it is a time when parents` education for the recognition of parents` right mathematics courses and their interest in education and the role of education are positively required.

A Study of the Assessment Model for Math Clinic Program
김정현 Kim Jeong Hyun , 고호경 Ko Ho Kyoung , 허난 Huh Nan , 황혜정 Hwang Hye Jeang
31(3) 313329, 2017
김정현 Kim Jeong Hyun , 고호경 Ko Ho Kyoung , 허난 Huh Nan , 황혜정 Hwang Hye Jeang
DOI: JANT Vol.31(No.3) 313329, 2017
Recently, `students who gave up mathematics` became social problems. The need for systematic support for spreading and seating mathematics clinics was recognized. The mathematics clinic emphasizes the change of the affective aspects by constantly meeting the students and listening to the worries of the students. It is also a program that guides students in the future to see mathematics in a positive way. However, at school, mathematics clinics are operated in various forms at the discretion of teachers. Therefore, it is difficult to confirm whether the purpose of the mathematics clinic is being achieved properly. It is necessary to prepare a plan that can act as a guideline to check the necessary basic items for the runs of the math clinic and to check the necessary parts in the course of runs
The purpose of this study is to develop a model for evaluating mathematics clinic programs which can be a guideline for the operation of mathematics clinic programs in a systematic way and to reduce the confusion of operation of mathematics clinics at the schools. We expect that this evaluation model could provide a direction for the operation of a math clinic.

The Development of a chapter of middle school mathematics textbook according to the learners` selfdirected learning model
황혜정 Hwang Hye Jeang , 조완영 Cho Wan Young , 고호경 Ko Ho Kyoung
31(3) 331347, 2017
황혜정 Hwang Hye Jeang , 조완영 Cho Wan Young , 고호경 Ko Ho Kyoung
DOI: JANT Vol.31(No.3) 331347, 2017
The purpose of this study is to develop a sample chapter of mathematics textbook at the first middle school according to the model of supporting learners` selfdirected learning. The selfdirected learning is a learning strategy to develop learner`s ability to solve unstructured problems by himself or herself. Basically, the textbook should included learning objectives distinctively. Second textbook should consist of some appropriate method for learners to learn content. Third, it suggests some plans to utilize learning strategies of this model effectively when authors or developers develop textbooks in future. Based on those condition, it is also requested that the sample chapter of the textbook be develop in order to study interestingly as well as to implement selfdirected study, and content materials using mixed diverse subjects would be included in the chapter. Furthermore, the sample chapter which is suitable to the semester of managing selfdirected learning middle school would be developed. For this purpose, in this study the `Plane shapes` was selected dealt with in the first middle school. The sample chapter is developed at first by the researchers and then revised and completed through the checking from the professionalists two times.

A Study on the Curriculum of University Calculus Reflecting the 2015 Revised Curriculum
김윤아 Yun Ah Kim , 김경미 Kyung Mi Kim
31(3) 349366, 2017
김윤아 Yun Ah Kim , 김경미 Kyung Mi Kim
DOI: JANT Vol.31(No.3) 349366, 2017
The 2015 revised curriculum is an integrated curriculum that reflects national and societal needs to foster creative convergent talent in the school curriculum. Along with these changes, the Ministry of Education introduced a system to change the major from 2017 to the fourth year of university. Therefore, each university should prepare to reflect the curriculum and institutional change before welcoming students who have completed the 2015 revised curriculum. The university needs to study the countermeasures for implementing the 2015 revised curriculum and expanding the period of major change when preparing the curriculum and contents of the calculus courses that freshmen take. Handong University has been studying the operation methods of new students who want to decide their major at the first grade, such as operating calculus courses at various levels and allocating appropriate proportions of calculus for preliminary examinations. This case is similar to the basic purpose of the revised curriculum in 2015, so it can suggest implications for the operation of the university calculus class after the curriculum revision. In this paper, we have analyzed the results of the recent freshman mathematics test for the recent 5 years and the students` calculus grades and compared them with the contents of the calculus curriculum operated by Handong University and the 2015 revised higher mathematics curriculum. As a result, we proposed five classes of calculus suitable for college major and it was found that the calculus curriculum should include the missing quadratic method in the 2015 revised curriculum.
