• Journal of the Korean School Mathematics Society
• /
• v.13 no.1
• /
• pp.125-141
• /
• 2010

The aim of this paper is to develop a web-based Virtual Learning System for discrete mathematics learning using CAS (Computer Algebra System), The system contains a series of contents that are common between secondary und university curriculum in discrete mathematics such as sets, relations, matrices, graphs etc. We designed and developed web-based virtual learning contents contained in the proposed system based on Mathematia, webMathematica and phpMath taking advantages of rapid computation and visualization. The virtual learning system for discrete math provides movie lectures and 'practice mode' authored with phpMath in order to enhance conceptual understanding of each movie lesson. In particular, matrix learning is facilitated with conceptual diagram that provides interactive quizzes. Once the quiz results are submitted, Bayesian inference network diagnoses strong and weak parts of learning nodes for generating diagnostic reports to facilitate personalized learning. As part of formative evaluation, the overall responses were collected for future revision of the system with 10 university students.

• Communications of Mathematical Education
• /
• v.24 no.3
• /
• pp.587-610
• /
• 2010

This paper investigates the ways for estimation ability improvement in length, which is recently emphasized in measurement area of mathematics education. According to preceding studies, students' length estimation ability is considerably low. Revision curriculum tried to pursue estimation and feeling of massiveness responsive to trends in mathematics education. But, Such efforts are not reflected in textbooks and they are rather weak in the aspect of estimation and feeling of massiveness. This paper analyzes the contents related to length estimation in current textbooks critically and explores an alternatives. This paper is suggestive for textbook development to improve ability to estimate length.

• Journal of the Korean School Mathematics Society
• /
• v.6 no.2
• /
• pp.1-19
• /
• 2003

The challenge of education reform and the demand for textbook revision were inevitable as to help people manage changes in the twenty-first century. The 7th educational program not only has different educational goals, purposes and methods compare to the previous 6th program, but also introduces an epochal plan so called "free-choice learning" which involves considerable choices on the part of the learner as to what and which subject to learn. For the education on mathematics, applying computer and calculators to the studies were one of the goals educational process. This research encompasses ways to approach computer application in the 7th high school s on mathematics. The main contents of our paper are analysis of 16 different kinds of high school textbooks, its status of uses in each textbooks, math relating programs, use of computers, use of programs, use of computers in each textbooks and use of internets.internets.

• Journal of Elementary Mathematics Education in Korea
• /
• v.16 no.2
• /
• pp.227-252
• /
• 2012

Given the lack of research on the measurement domain, this paper analyzed the statements related to length and area in the curricular materials developed under the 7th and the current mathematics curriculum in terms of the degree of guidance and the key learning elements of measurement. The results showed that despite the similarity of the most prevalent guidance type and learning elements, the current materials used open-ended or combined types in place of guided types and employed measurement reasoning and components while decreasing mere calculation in measurement, in comparison with the previous textbooks and workbooks. This paper close with implications on the revision of curricular materials related to the measurement domain as well as methodological suggestions of textbook analysis.

• Communications of Mathematical Education
• /
• v.33 no.3
• /
• pp.355-376
• /
• 2019

Since the second comprehensive mathematics education plan was announced in 2012, many policies have been implemented based on it. However, due to many changes in various social situations and revision of the curriculum, new plans and policy proposals for mathematics education are strongly required. But, we need to recognize what the changes in the current social and educational situation ask for education in order to make meaningful policy. Therefore, in this study, we intend to develop an appropriate questionnaire to investigate mathematics teachers' perceptions and educational status of mathematics by analyzing former domestic and international studies on the related field and reflecting the educational situation in Korea. When developing questions, experts' opinions were consulted and preliminary on-site survey studies were conducted to maintain the suitability and reliability of the questions. Through these procedure, 33 questions were developed in three areas: teachers' recognition on mathematics education, educational status of mathematics education, and ICT utilization. It will be used as a tool to investigate math teachers' perception and current status of mathematics education and the results from this survey will be useful for developing mathematics education policies for the future.

• Journal of Elementary Mathematics Education in Korea
• /
• v.16 no.3
• /
• pp.471-489
• /
• 2012

2007 Curriculum Revision adopted new Inquiry Activities in mathematical textbooks. So it is critical to analyze the problems of actual application of Inquiry activities in the classrooms. For this purpose, we analyzed the Inquiry activities of Measurement Area of the textbooks and find the appropriate solutions. Secondly, we develop the reorganization materials to fix and solve the existing problems found in the previous problem analysis, and apply the development materials and examine the effects afterwards. The results of the survey indicated that most of teachers are well aware of the importance of Inquiry Activities. However, many teachers answered that Inquiry activities does contain neither diverse strategic approaches nor solutions accommodating with various learning levels of students. The most difficult points to educate Inquiry Activities are that it is difficult to teach students based on individual learning level and that activities consist of mainly short answers that makes it difficult to do in-depth Inquiry Activities. Analyzing Inquiry Activities in the textbook shows that Inquiry Activities in some chapters were constructed as simple sentence questions or presented with the solving process in the questions themselves. The following application classes were implemented by partially taking advantage of the newly developed reorganization materials. Then, the effects were measured by before and after questionnaires, the survey to teachers, and the results of activities. The reorganization materials were effective at arousing the curiosity from students as well as enabling the natural ability-level driven classes.

• Communications of Mathematical Education
• /
• v.24 no.3
• /
• pp.691-708
• /
• 2010

The purpose of this study is to analyze 'datum' of 'The Data' in the textbooks of middle school on the basis of 'The Data of Euclid' and develop datum. For this, the followings are conducted. First, the distinctive structure of datum of 'The Data' is considered. Second, some learning materials the contents of geometry in the textbooks of middle school are analyzed and the mathematical meanings are explored. Third, the applicable datum to geometry education of middle school are developed and the way of educational use is studied. The hopefully, the result of this study will make school mathematics education more plentiful and give meaningful implications to revision of mathematics education curriculum and the improvement of teaching and learning.

• Communications of Mathematical Education
• /
• v.24 no.1
• /
• pp.235-257
• /
• 2010

Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.

• Journal of Elementary Mathematics Education in Korea
• /
• v.13 no.1
• /
• pp.1-15
• /
• 2009

This research is to provide a useful reference for the future revision of textbook by comparative analysis with the textbook in the 4th grade of elementary school in Japan. The results from this research is same as follows: First, Korean curriculum is emphasizing the reasonable problem-solving ability developed on the base of the mathematical knowledge and skill. Meantime, Japanese puts much value on the is focusing on discretion and the capability in life so that they emphasize each person's learning and raising the power of self-learning and thinking. The ratio on mathematics in both company are high, but Japanese ensures much more hours than Korean. Second, the chapter of Korean textbook is composed of 8 units and the title of the chapter is shown as key word, then the next objects are describes as 'Shall we do$\sim$' type. Hence, the chapter composition of Japanese textbook is different among the chapter and the title of the chapter is described as 'Let's do$\sim$'. Moreover, Korean textbook is arranged focusing on present study, however Japanese is composed with each independent segments in the present study subject to the study contents. Third, Japanese makes students understand the decimal as the extension of the decimal system with measuring unit($\ell$, km, kg) then, learn the operation by algorithm. In Korea, students learn fraction earlier than decimal, but, in Japan students learn decimal earlier than fraction. For the diagram, in Korea, making angle with vertex and side comes after the concept of angle, vertex and side is explained. Hence, in Japan, they show side and vertex to present angle.

• Communications of Mathematical Education
• /
• v.28 no.1
• /
• pp.1-17
• /
• 2014

Recently a student's mathematical thinking and problem-solving skills are emphasized. Nevertheless, the students solved the problem associated with a given type of problem solving using mechanical algorithms. With this algorithm, It's hard to achieve the goal that are recently emphasized. Furthermore It may be formed error or misconception. However, consistent errors have positive aspects to identify of the current cognitive state of the learner and to provide information about the cause of the error. Thus, this study tried to analyze the error happening in the process of solving gearwheel-involved problem and to propose the correct teaching method. The result of student's error analysis, the student tends to solve the gear-wheel problem with proportional expression only. And the student did not check for the proportional expression whether they are right or wrong. This may be occurred by textbook and curriculum which suggests only best possible conditioned problems. This paper close with implications on the discussion and revision of the concepts presented in the curriculum and sequence related to the gearwheel-involved problem as well as methodological suggested of textbook.