• East Asian mathematical journal
• /
• v.31 no.4
• /
• pp.505-525
• /
• 2015

The purpose of this study is to analyze teaching method of addition and subtraction of whole number in Korea and New Zealand lower grade textbook and to get some suggestive points to develop mathematics curriculum and for a qualitative improvement of textbook. To do this, we will analyze focusing on teaching material, type and method of teaching, cases of real teaching and in the case of New Zealand, we will analyze portfolios together to see what kind of things do they deal with related to addition and subtraction. From these analyzing, the results are as follows: First, the guideline of accomplishment of group of year are stated in 2009 revised curriculum in Korea but it is rough. On the other hand, the level of accomplishment from kindergarten to high school are stated divided by eight kinds of thing in New Zealand curriculum. Second, there were common and different points in the aspect of teaching material. The common points are that both of our Korea and New Zealand are using materials related to real life intimately and the diifferent points are to use technology such as calculator and computer. They are more widely used in New Zealand than our Korea. Third, Korea had used routine method mainly but New Zealand had used method to develop creativity of learner such as to write problem corresponding to expression, posing problem corresponding to information, to complete table and find pattern and to write word problem to explain pattern and so on. Fourth, we could see special calculation strategies in the case of teaching addition and subtraction such as concept of double, compensation, various strategy based on counting of number, addition of the same number, magic square, near-double which are not finding in our mathematics textbook. Fifth, in the New Zealand textbook they had used teaching methods inducing curiosity of learner such as finding message and puzzle problem than solving given problem simply.

• Communications of Mathematical Education
• /
• v.27 no.2
• /
• pp.99-119
• /
• 2013

This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.

• East Asian mathematical journal
• /
• v.30 no.4
• /
• pp.385-404
• /
• 2014

There are some researches for international comparing of textbook and curriculum, so far. But These researches focused on comparing special region of textbook or curriculum. On the contrary, there are hardly papers how teacher's guide is consists and different with other country. In this paper, we have analyzed teacher's guide of Korea and Everyday Mathematics which is one of the teacher's guide in the many counties in the united states of America. Especially, teaching method, differentiated contents of curriculum, characteristics of consists of curriculum and so on. On the basis of this analysis, we search the improvement points of teaching of primary mathematics and also we make all the primary school teachers realize the diversity of teaching method through foreign cases and consequently they will make use of these results as a reference material such as reconstruction of textbook.

• Journal of Elementary Mathematics Education in Korea
• /
• v.10 no.1
• /
• pp.67-87
• /
• 2006

This study is to recognize a problem in the practice of performance assessment in elementary school, and to find out some suggestive points for improvement of teaching·learning method in elementary mathematics through assessment by reducing time restriction according to assessment through the practice of self-assessment, peer-assessment and observation, and then by reflecting the results of assessment on teaching learning plan. For that, the questions of study set up are as follows ; 1. How should self-assessment and peer-assessment be applied to in elementary mathematics assessment? 2. How should the time for 'let's play an interesting game' be managed for assessment of elementary mathematics? 3. How should the results of assessment be reflected on the Process of teaching and learning of mathematics? To solve these problems, a researcher of this thesis performed self-assessment, peer-assessment on 40 students of second grade under her charge as a class teacher, and applied observation in the time management process for 'let's play an interesting game' for a semester. self-assessment was made by mathematics journal, self-assessment chart, peer-assessment was by the analysis of conversation record among students in the situations of assessment, and observation was by observation of activity when playing with the results data of play analyzed. the concrete methods of application as follows ; First, mathematics journal was applied $1{\sim}2$ times by each unit with reconstruction into the level of second grade on the basis of the preceding-study models. Second, peer-assessment was applied to the unit-assessment time and the play-activities time by the method of recording·analyzing the contents of conversation among students in the process of assessment. Third, mathematical attitude & dispositions of students making use of the self- assessment table were examined referring to the teaching learning plan. Fourth, the time management for 'let's play an interesting game' was made through the prior recognition of play method and the joyful play-activities by use of the play-plate. Assessment depended on analysis of play-activities results of students making use of an observation form. Fifth, the results of self-assessment, peer-assessment, and observation were analyzed, and then they were made use of as self-observation data, of teacher her/his self, or teaching·learning improvement data. Students' self-assessment datum (mathematics diary, self-assessment sheets, conversation contents in the process of assessment) and observation materials (check lists, Play-activity result materials, conversation contents in the process of play) obtained in the process of application was analyzed as follows ; 1. From the practice of self-assessment in form of mathematics journal, I could obtain not only datum showing how much students was understanding the learning aims by unit time and to any degree they reached but also information about their response to learning datum and favorable type of learning. 2. Assessment by self-assessment chart was useful in planning the mathematics teaching learning process because it helps ascertain mathematical attitude & dispositions of students. 3. Through the application of peer-assessment, students had the opportunity of communicating with other students looking back on his/her explaining process, and teachers could obtain basic materials for assessment of students. 4, In case of time management for 'let's play an interesting game', there was natural extension of play made through time-security by prior looking into the method of play-activity, and then, for a remained time, by making children play a new game. 5, I could easily record the activities of students by use of the observation. form, and make use of it as basic data for descriptive assessment. 6, Each kinds of data obtained from the results of assessment was helpful for securing self-observation materials in the process of teaching learning and for their betterment in mathematics subject. However, because they were in the second grade of elementary school and there was an individual difference, some students could not make use of mathematics diary or self-assessment form properly. In case of these students, assessment data would be obtained through interview or observation. And for effective operation of play, its purpose & method and matters that demand special attention when play-acting should be clearly guided. Also, when applying an effective play in addition to play activities in textbook, to lessons, interesting mathematics lessons could be guided.

• Communications of Mathematical Education
• /
• v.19 no.4 s.24
• /
• pp.733-767
• /
• 2005

During the past decades, there has been a fundamental change in the objectives and nature of mathematics education, as well as a shift in research paradigms. The changes in mathematics education emphasize learning mathematics from realistic situations, students' invention or construction solution procedures, and interaction with other students of the teacher. This shifted perspective has many similarities with the theoretical . perspective of Realistic Mathematics Education (RME) developed by Freudental. The RME theory focused the guide reinvention through mathematizing and takes into account students' informal solution strategies and interpretation through experientially real context problems. The heart of this reinvention process involves mathematizing activities in problem situations that are experientially real to students. It is important to note that reinvention in a collective, as well as individual activity, in which whole-class discussions centering on conjecture, explanation, and justification play a crucial role. The overall purpose of this study is to examine the developmental research efforts to adpat the instructional design perspective of RME to the teaching and learning of differential equation is collegiate mathematics education. Informed by the instructional design theory of RME and capitalizes on the potential technology to incorporate qualitative and numerical approaches, this study offers as approach for conceptualizing the learning and teaching of differential equation that is different from the traditional approach. Data were collected through participatory observation in a differential equations course at a university through a fall semester in 2003. All class sessions were video recorded and transcribed for later detailed analysis. Interviews were conducted systematically to probe the students' conceptual understanding and problem solving of differential equations. All the interviews were video recorded. In addition, students' works such as exams, journals and worksheets were collected for supplement the analysis of data from class observation and interview. Informed by the instructional design theory of RME, theoretical perspectives on emerging analyses of student thinking, this paper outlines an approach for conceptualizing inquiry-oriented differential equations that is different from traditional approaches and current reform efforts. One way of the wars in which thus approach complements current reform-oriented approaches 10 differential equations centers on a particular principled approach to mathematization. The findings of this research will provide insights into the role of the mathematics teacher, instructional materials, and technology, which will provide mathematics educators and instructional designers with new ways of thinking about their educational practice and new ways to foster students' mathematical justifications and ultimately improvement of educational practice in mathematics classes.

• Journal of Elementary Mathematics Education in Korea
• /
• v.8 no.1
• /
• pp.23-43
• /
• 2004

The purposes of this study are, by referring to various previous studies on problem posing, to re-construct problem posing steps and a variety of problem posing learning materials with a problem posing teaching-learning model, which are practically useful in math class; then, by applying them to 4-Ga step math teaming, to examine whether this problem posing teaching-learning model has positive effects on the students' problem solving ability and mathematical attitude. The experimental process consisted of the newly designed problem posing teaching-learning curriculum taught to the experimental group, and a general teaching-learning curriculum taught to the comparative group. The study results of this experiment are as follows: First, compared to the comparative group, the experimental group in which the teaching-teaming activity with problem posing was taught showed a significant improvement in problem solving ability. Second, the experimental group in which the teaching-learning activity with problem posing was taught showed a positive change in mathematical attitude.

• East Asian mathematical journal
• /
• v.32 no.4
• /
• pp.519-543
• /
• 2016

Today the high school mathematics lesson has an effect on the scholastic achievement internationally, but fails to lead to the interest in the mathematics which stimulates the intellectual curiosity. Due to this, 2015 revised curriculum includes the effort to improve the emotional aspect of mathematics positively. It is needed that the teaching method through discussion and debate must be introduced to accomplish the objective of the mathematics in 2015 revised curriculum focused on the improvement of the ability and attitude to solve the problems creatively by increasing the mathematical communication skill of the students. The purpose of this study is to investigate the effect of mathematical essay-typed lesson focused on discussion and debate on the mathematical disposition and attitude of high school student. The findings from this study provided that the essay-typed lessons focused on discussion and debate improved the subject students' mathematical achievement and disposition and attitude, but it is not significant change.

• East Asian mathematical journal
• /
• v.31 no.2
• /
• pp.275-299
• /
• 2015

The purpose of this study is to provide an opportunity for better understanding and application of 2009 revised elementary school mathematics textbooks through survey data and focus group interview on structures of textbooks. First, We collect online survey results which 2333 elementary school teachers participated. Next, We interview focus group(8 teachers) about shapes of textbooks, quantity of learning contents, activities and problems for evaluation in the mathematics lessons. Storytelling is especially issued in the 2009 revised mathematics curriculum. We intensively discuss learning and teaching methods with application of storytelling textbooks; interests of students, role of storytelling textbooks etc. As results of analysis, the positive rate to use the 2009 revised textbooks is relatively high about shapes and activities of textbooks. But there is more considered about storytelling method. Storytelling may be positive on improvement of learning interests and participation of students. In order to develop these advantages, studies in relation of storytelling are more proceeded and teaching materials for teachers are required effectively in order to applicate to the elementary school.

• The Mathematical Education
• /
• v.53 no.3
• /
• pp.399-412
• /
• 2014

The purpose of this article is to suggest using cooperative microteaching in pre-service mathematics teachers education based on their perceptions of it after actual application case. The background of this study is that cooperative learning came into the highlight as a good method to cultivate teachers' competencies for creativity and character education as well as students' creativity and character in the mathematics classroom. 20 pre-service mathematics teachers participated in their cooperative microteaching and 16 of them responded to the survey. The collected data showed that the merits of cooperative microteaching are to ease the burden of preparing for class, to discuss how to teach mathematics, to debate what lesson is better, to receive valuable feedback form their peer, and so on. Also, it provided them with the chance for self-improvement in that they kept to make up for the week points in their teaching behavior. Meanwhile, they wanted longer time to experience their teaching and their own lesson.

• Journal of Fisheries and Marine Sciences Education
• /
• v.29 no.3
• /
• pp.932-940
• /
• 2017

This study investigated the perception of pre - service teachers in order to find out how paper textbooks are used in high school classes and what improvement is needed. Firstly, the results of analyzing the perception about the utilization of textbooks are as follows. First, in the case of Korean language, social studies, mathematics, science, and English, textbooks were used most frequently, and most of the respondents did not use textbooks for arts and physical education subjects. Secondly, Korean language, social studies, mathematics, science, and English textbooks are most frequently used as teaching materials. Third, in the case of Korean, social, mathematics, science, and English subjects, in addition to textbooks, problem collections were used most frequently and arts and physical education subjects showed the most use of prints. Next, the results of analyzing the perception of the improvement method of the textbooks are as follows. First, in the high school class, the response rate was high in that Korean, social, mathematics, science, and English classes needed a textbook. Most of the respondents answered that they were not necessary for the textbooks of arts and physical education subjects. Second, in order to improve the textbooks, the most demanding textbooks focused on the core basic contents, followed by self - directed learning activities, competency centered contents selection, cooperative learning activities, and teacher self - development. The demand for digital textbooks was low.