On the general terms of the recurrence relation a_n = a_(n1) + a_(n3), a_1 = a_2 = a_3 =1
노문기 Moon Chi Roh , 정재훈 Jae Hoon Jung , 강정기 Jeong Gi Kang
27(4) 357367, 2013
노문기 Moon Chi Roh , 정재훈 Jae Hoon Jung , 강정기 Jeong Gi Kang
DOI: JANT Vol.27(No.4) 357367, 2013
It is important to make students do research for oneself. But the practice of inquiry activity is not easy in the mathematics education field. Intellectual curiosities of students are unpredictable. It is important to meet intellectual curiosities of students. We could get a sequence in the process solving a problem. This sequence was expressed in a form of the recurrence relation a_n = a_(n1) + a_(n3) (n≥ 4),a_1 = a_2 = a_3 =1. We tried to look for the general terms of this sequence. This sequence is similar to Fibonacci sequence, but the process finding the general terms is never similar to Fibonacci sequence. We can get two general terms expressed in different form after our a great deal of effort. We hope that this study will give the spot of education energy.

A Study on freshmen`s achievements for grade point average among college entrance types in natural science or engineering
이헌수 Heon Soo Lee , 김영철 Young Cheol Kim , 박영용 Yeong Yong Park
27(4) 369379, 2013
이헌수 Heon Soo Lee , 김영철 Young Cheol Kim , 박영용 Yeong Yong Park
DOI: JANT Vol.27(No.4) 369379, 2013
In this paper, we analyzed the freshmen`s achievements on general mathematics their GPA based on ``basic mathematics diagonal test score`` among college entrance types in natural science or engineering. Also, we studied the achievements of students who were not passed the ``Basic Mathematics Diagonal Test (BMDT)`` and had to take supplementary lessons to improve their mathematics abilities four times a week during the first semester of academic year 2012 in Mokpo National University. We found the followings; first, freshmen were accepted by the university through the regular admission have a higher level of academic achievement compared other type admission. Second, freshmen`s academic achievement in the first semester has significant meaningful effect on their academic achievement in the second semester. Finally, there are correlations between achievements of general mathematics and a curriculum of freshmen who were passed test after taking supplementary lessons.

A study on joint control in Calculus
김태수 Tae Soo Kim
27(4) 381389, 2013
김태수 Tae Soo Kim
DOI: JANT Vol.27(No.4) 381389, 2013
In the natural science or engineering science, a calculus is an obligatory subject. So there are many classes in the university every year. Commonly professors manage the course individually. Many classes in a row individually got into trouble about lecture, test and assessment and so on. To solve the above problems, alternatively we introduced the concept of joint control. We used the joint syllabus, test and assessment. In this paper, we found the necessities and effects of joint control in a calculus.

A note for improving mathematical terms in Korea
허민 Min Her
27(4) 391406, 2013
허민 Min Her
DOI: JANT Vol.27(No.4) 391406, 2013
Most of mathematical terms in Korean are SinoKorean words. It is necessary to find the efficient ways to teach SinoKorean mathematical terms to mathematics teachers and students who dot not know Chinese characters well and use only Korean alphabet in mathematics. Especially, we have to avoid the inappropriate SinoKorean words which can cause misconceptions and can distinguish homophones by Korean alphabet. We may use native Korean terms to do that and the national curriculum can play an important role. In this paper, we investigate the way of improving mathematics terms in Korea with concrete examples.

Development and application of mathematics teachinglearning model considering learning styles of the students of engineering college
정수연 Su Youn Jeong , 강윤수 Yun Soo Kang
27(4) 407428, 2013
정수연 Su Youn Jeong , 강윤수 Yun Soo Kang
DOI: JANT Vol.27(No.4) 407428, 2013
The purpose of this research is to develop an effective teachinglearning model and suggest efficient methods for improving the learning abilities in mathematics of the students of engineering college. For this purpose, we examined their learning styles and learning attitudes toward Mathematics, which are important factors in teachinglearning process,and analyzed the relation between them. As a result, we found that participants had a disposition of being dependent and highly participating, so we made an effort to develop a teachinglearning model which can make the students active and highly involved in. After applying the developed teachinglearning model to Engineering Mathematics class for one semester, we conducted survey of the participants` responses. In conclusion, we found that this model is very helpful for Engineering students to utilize a selfdirected learning by diagnosing and adjusting their learning process in Metacognitive way. Also, it is confirmed that this model has a considerable influence in which students can actively participate in class and have positive attitude to Mathematics learning.

A Study on Solving Word Problems through the Articulation of Analogical Mapping
김지은 Ji Eun Kim , 신재홍 Jae Hoon Jung
27(4) 429448, 2013
김지은 Ji Eun Kim , 신재홍 Jae Hoon Jung
DOI: JANT Vol.27(No.4) 429448, 2013
The aim of this study was to examine how analogical mapping articulation activity played a role in solving process in word problems. We analyzed the problem solving strategies and processes that the participating thirtythree 8th grade students employed when solving the problems through analogical mapping articulation activities, and also the characteristics of the thinking processes from the aspects of similarity. As a result, this study indicates that analogical mapping articulation activity could be helpful when the students solved similar word problems, although some of them gained correct answers through pseudoanalytic thinking. Not to have them use pseudoanalytic thinking, it might be necessary to help them recognize superficial similarity and difference among the problems and construct structural similarity to know the principle of solution associated with the problematic situations.

Exploration on Mathematical Tasks on Function Content in MiC 3 level Textbook
황혜정 Hye Jeang Hwang , 박현파 Hyun Pa Park
27(4) 449472, 2013
황혜정 Hye Jeang Hwang , 박현파 Hyun Pa Park
DOI: JANT Vol.27(No.4) 449472, 2013
Instructional materials including problem situations or problems or tasks on reallife situations are considered as an important and significant factor to lead a successful math instruction. MiC Textbook is a representative one showing good examples and tasks including fluent realistic situations on the basis of the background of the Freudenthal`s theory. This study explores concretely and in detail the type of level of mathematical tasks, by the subject of MiC Textbook. To accomplish this, this study reconstructs and establishes an elaborated analysis framework using ``the cognitive demand level`` suggested by Stein, et, al. The cognitive demand level is comprized of four elements such as Memorization Tasks, Procedures Without Connections Tasks, Procedures With Connections Tasks, and Doing Mathematics Tasks. Memorization Tasks and Procedures Without Connections Tasks are considered as low level tasks,and Procedures With Connections Tasks and Doing Mathematics Tasks are as high level tasks. MiC Textbook is comprized of the four areas of ``number``, ``algebra``, ``geometry and measurement``, and ``data analysis and statistics``. This study deals with the tasks relevant to Function content dealt with in MiC 3 level Textbook, and explore the level of cognitive demands on each task.

A study on the relationship between learning styles of students and academic achievement in mathematics  Focusing on freshmen enrolled in a college of science and engineering of the medium sized university
이경희 Gyoung Hee Lee , 이성진 Sung Jin Lee
27(4) 473486, 2013
이경희 Gyoung Hee Lee , 이성진 Sung Jin Lee
DOI: JANT Vol.27(No.4) 473486, 2013
This study examines the learning styles of freshmen enrolled in a college of science and engineering, and analyses the relationship between learning styles and academic achievement in mathematics to provide basic data for the teachinglearning methods, which are more suitable to learning styles of students. For the purpose of this research, a reliability analysis of Kolb`s LSI is applied to 282 freshmen enrolled in a college of science and engineering of the mediumsized university. The outcomes of this survey are followings. Firstly, students hold higher positions in the order of converger,assimilator, accommodator, diverger among 4 learning styles. Secondly, while there is a positive corelation between abstract conceptualization[AC] and academic achievement, there is a negative corelation between concrete experience[CE] and academic achievement. Thirdly, as for academic achievement in mathematics, converger is superior to assimilator and accommodator. Finally, the correlation between learning styles and academic achievement is different by demographic characteristics. Based on these results, this study suggests the necessity for various teaching learning strategies, which are adjusted to both academic characteristics of mathematics and learning styles. Also, the need for teaching methods, which help students to develop effectively four learning cycles, is proposed.

SangSeol Lee`s manuscript on modern physics in the late 19th century Korea
이상구 Sang Gu Lee , 박종윤 Chong Yun Park , 김채식 Chae Sik Kim , 이재화 Jae Hwa Lee
27(4) 487498, 2013
이상구 Sang Gu Lee , 박종윤 Chong Yun Park , 김채식 Chae Sik Kim , 이재화 Jae Hwa Lee
DOI: JANT Vol.27(No.4) 487498, 2013
SangSeol Lee(18701917) wrote a manuscript BaekSeungHoCho(百勝胡艸) in the late 19th century. BaekSeungHoCho was transcribed in classical Chinese from the 1879 Japanese book Physics(物理學) by Teizo Ihimori (18511916). SangSeol Lee, a famous independence activist, is also called Father of the Modern Mathematics Education of Korea,because of his early contribution to the modern mathematics education in the 19th century. In this paper, we introduce contents of his manuscript BaekSeungHoCho for the first time and discuss the significance of this book. Also, we show his constribution on the introduction to modern physics in the late 19th century Korea.

Analysis on the Relationship between the 3rd Grade Middle School Students` Belief about Understanding and Academic Achievement,Mathematical Concepts, Mathematical Procedures
김도연 Do Yeon Kim , 김홍찬 Hong Chan Kim
27(4) 499521, 2013
김도연 Do Yeon Kim , 김홍찬 Hong Chan Kim
DOI: JANT Vol.27(No.4) 499521, 2013
This paper analyzed the relationship between middle school students` belief about understanding with regard to mathematical concepts, procedures, and applications of the procedures. In order to gain our purpose, the academic achievement results of midterm examination of 139 middle school students and the surveys about their beliefs about understanding, mathematical concepts, and mathematical procedures were collected. And the cross analysis and the frequency analysis of SPSS were conducted. The research results showed that students` belief about understanding are irrelevant to their academic achievements. And the percentage of the students who believe that they understand was almost the same with the percentage of the students who understand the procedures. But there were differences between the percentage of the students who believe that they understand and the percentage of the students who understand the concepts. Through these, it is conformed. Students` belief about understanding does not mean they understand mathematical concepts. They just can solve mathematical problems through mechanical procedures.

The Analysis of Research Trends on STEAM Instructional Program and the Development of MathematicsCentered STEAM Instructional Program
한혜숙 Hye Sook Han
27(4) 523545, 2013
한혜숙 Hye Sook Han
DOI: JANT Vol.27(No.4) 523545, 2013
The purposes of the study were to analyze STEAM instructioanl materials to find research trends on STEAM instructional program and to develop mathematicscentered STEAM instructional program for middle school second graders. To conduct this study, the researcher collected total 123 research papers and thesis focused on the development of STEAM instructioanl material and deduced implications for the development of mathematicscentered STEAM instrucational materials from the findings. The researcher found that improtant components of such as ‘context for learning``, ‘internalizationmmersion’, ‘new challenge’, and ‘selfassessment`` in STEAM education were not reflected properly in 19 mathematicscentered STEAM instructional programs. Therefore, the researcher put more emphasis on those componemts in the process of developing mathematicscentered STEAM program.

A Study on Component of Storytelling on the middle school 1 Mathematics Textbooks
민미홍 Mi Hong Min , 허난 Nan Huh
27(4) 547566, 2013
민미홍 Mi Hong Min , 허난 Nan Huh
DOI: JANT Vol.27(No.4) 547566, 2013
Education, Science and Technology Department in January 2012, announced the advancement of mathematics education scheme. Select a textbook of storytelling method in policy by this, it is easy to understand the math, and that you can learn happily, was fabricated and spread. In this study, we selected three of the textbook that describes the set to its characteristics the application of storytelling in a textbook of mathematics 13 different middle school that will be used from March 2013. And of research that the textbook is to analyze the reflected reality of storytelling that is part of the advancement scheme of mathematics education content and direction and basic curriculum of current. View by presenting instead I is an object of the present invention. Six components of storytelling in the teaching and learning context that is proposed in the Park`s study (2012) are used to analyze. Those are ``Persona``, ``empathy``, ``analogy``, ``aestheti cexperience ``, ``plot`` and ``time``. The data were analyzed storytelling was used to introduce the nature and mathematical concepts in math textbook based on these elements 6. That is looking at the ratio of the presence or absence of reflecting elements of storytelling on teaching and learning context that the data storytelling meets much the elements of storytelling to investigate the characteristics of each textbook. It is expected to provide the information and resources needed to develop methods and materials that can be studied to be interested in conjunction with real life mathematics as a result of this study.

A Case Study of Teaching Mathematics for Integrated Essay Education:Instruction of Conic Section using Concrete Materials and Technology
류현아 Hyun Ah Ryu
27(4) 567580, 2013
류현아 Hyun Ah Ryu
DOI: JANT Vol.27(No.4) 567580, 2013
As integrated essay writing is performed in university entrance examinations, teachers and students recognize the importance of integrated essay, but teachers have still difficulties of teaching methods. The purpose of this study is to derive educational implications through case of mathematics instruction for integrated essay education to preservice mathematics teachers. The content knowledge of this class is a definition of conic section in mathematics and properties of conic section in an antenna reflector. The students have to discover them using the history of math,manipulative material, paperfolding and computer simulation. In this teaching and learning process the students can realize mathematical knowledge invented by humans through history of mathematics. The students can evaluate the validity of that as create and justify a mathematical proposition. Also, the students can explain the relation between them logically and descript cause or basis convincingly in the process of justifying. We should keep our study to instructional materials and teaching methods in integrated essay education

A Study on the Development of the Model for the Processfocused Assessment Using Manipulatives Focused on Middle School Mathematics
고상숙 Sang Sook Koh , 한혜숙 Hye Sook Han , 이창연 Chang Yean Lee
27(4) 581609, 2013
고상숙 Sang Sook Koh , 한혜숙 Hye Sook Han , 이창연 Chang Yean Lee
DOI: JANT Vol.27(No.4) 581609, 2013
Students` learning processes and mathematical levels should be correctly diagnosed in many different methods of assessment to help students learn mathematics. The study developed the model for the processbased assessment while using manipulatives in the middle school in order to improve problem solving, reasoning and communication which are emphasized in 2009 reformed curriculum as the areas of mathematical process. Identifying the principles of assessment,we created the assessment model for each area and carried out a preliminary study. Based on this, we revised the representative items and the observation checklist and then conducted a main study. Through the results of assessment,we found that students` thinking processes were well presented in scoring rubric for their responses on each item. It meant that the purpose of the assessment as a criterionreferenced test was achieved.
