• The Mathematical Education
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• v.3 no.10
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• pp.7-20
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• 1965

One of the prerequisites for the improvement of the teaching of mathematics in our country is an improved curriculum-one which takes account of the increasing use of mathematics in science and technology and in other areas of knowledge and at the same time one which reflects recent advances in mathematics itself. In the new curriculum of mathematics, we have found the problems to teach the concept of sets at secondary level. The idea of a set is the most fundamental one in mathematics. So, this thesis contains the studies of the systematic analysis of sets in dealing with the traditional textbook. The scope of the work is limited to the fundamental ideas, and so it merely touches on the topics of the Concpets, Operations, Cardinal Numbers, Application of Logic, one-to-one Correspondence, Probability and so on. It provides only the essentials, definitions, proofs and some example which are already known and understood in their traditional context. It also presents at the appropriate stages the concepts required (illustrated by examples) in a much clearer fashion than classical teaching does. To compete a study of the sets covered in the textbook of each year, greater detail is needed at the appropriate level.

• Journal of Korean Elementary Science Education
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• v.25 no.3
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• pp.307-317
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• 2006

Those students with ability and interest in science should be supported to develop their potential and to reach high levels of achievement in science and technology. In order to ensure that gifted pupils are able to enhance their creativity as well as research abilities, appropriate learning programs and environments are essential. One of the various teaching and learning models for the gifted in science is the discovery learning model based on inductive science activities. There is a clear line of continuity between knowledge discovery at the forefront of research and student's learning activities. If students receive excellent training in organizing scientific concepts for themselves, they will be able to skillfully apply appropriate scientific concepts and solve problems when facing unfamiliar situations. It is very important to offer an appropriate learning environment to maximize the learning effect whilst, at the same time, understanding individual student's characteristics. In this study, the authors took great pains to research effective learning environments for gifted science students. Firstly, appropriate classroom learning environments thought by the teacher to offer the most potential were investigated. 3 different classes in which a revised teaching and learning environment was applied in sequence were examined. Inquiries were conducted into students' activities and achievement through observation, interviews, and examination of students' worksheets. A Science Education expert and 5 elementary school teachers specializing in gifted education also observed the class to examine the specific character of gifted science students. A number of suggestions in discovery learning classes for elementary students gifted in science are possible; 1) Readiness is essential in attitudes related to the inquiry. 2) The interaction between students should be developed. A permissive atmosphere is needed in small group activities. 3) Students require training in listening to others. In a whole class discussion, a permissive atmosphere needs to be restricted somewhat in order to promote full and inclusive discussion. 4) Students should have a chance to practice induction and abduction methods in solving problems.

• Journal of the Korean earth science society
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• v.32 no.1
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• pp.140-151
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• 2011

This study is to search the problems of schoolyard teaching material developed by pre-service earth science teachers and the critical factors affecting material making. The 258 schoolyard teaching materials was collected from 54 pre-service earth science teachers (male: 18, female: 36) major in Earth Science Education in Jeonju, Korea. The schoolyard teaching materials was greatly influenced by making process type of it and the prior knowledge of pre-service earth science teachers. As schoolyard preference exploratory type rely on their prior knowledge to develop the schoolyard teaching materials, they made use of the limited concepts like fault in material making. But the concept preference exploratory type made use of concepts not accessible to majority of pre-service earth science teachers because they selected a concept from the earth science textbook first of all. The pre-service earth science teachers having wrong prior knowledge selected inappropriate resources, as well as fell into the error of concept connecting. The pre-service earth science teachers having right prior knowledge partly considered only shape of resources, but had a disregard for formation process of it in material making. Accordingly, we need to reflect richly Geological Field Trip and Solid Earth Science to curriculum for earth science teacher education. And we have to educate pre-service earth science teachers to create holistic concept on the geological subject matter knowledge, field based teaching and learning strategy, material making process.

• The Mathematical Education
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• v.48 no.4
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• pp.419-442
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• 2009

This study was to find the difficulties students faced in their mathematical learning and to identify the instructional dimensions a teacher provided for the students from multi-cultural background. Since the study was focused on the process of students' learning, the qualitative method was chosen through clinical interviews with 2 students in a total of 11 units which played a role of compensating their learning of mathematics as an extra curriculum. The students solved the computational problems relying on formal procedure without understanding of concepts and principles and solved the word problems based on own interpretation of certain words without semantic comprehension out of math sentences. As the instructional dimensions of teaching mathematics, tasks, a tool and classroom norm were found in the activities they performed. For the tasks, situated tasks, challenging tasks, tasks with lack of conditions, and open-ended exploratory tasks were used. As the tool, pictorial representations were very useful to describe their ideas. Finally, as the classroom norm, consider equity for everyone, and cooperate and encourage each other were found.

• Journal of the Korean Chemical Society
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• v.46 no.4
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• pp.353-363
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• 2002

In this study, characteristics of the problem solving process of the balancing redox equations was ana-lyzed by mental capacity and problem solving methods, and the pertinent teaching and learning guidance for oxidation-reduction unit was suggested. Participants were 79 senior high school students and 57 science high school students. Tests were conducted to measure the mental capacity, the understanding of the oxidation-reduction concepts and the com-pletion of the balancing redox equations. The framework was made to find the patterns of failure and success. As the analysis of the influence on the performance of mental capacity,understanding of the oxidation-reduction concepts, and problem solving methods, students who had lower understanding of oxidation-reduction concepts selected the trial and error method, and their performance were influenced by mental capacity. The students that had higher understanding of the oxidation-reduction concepts had good performance by using oxidation number method regardless of their mental capacity. As the results of analysis for the patterns, the success patterns of solving the problems, those of mostly the sci-ence high school students, were the cases of using oxidation number method well and lessening problem solving steps. The patterns of failure in solving problems by using trial and error method showed that students had mistakes in cal-culating, errors in making unknown equations, no consideration for all variables, or stopped solving the complicated problems. The patterns of failure in solving problems by using oxidation number method showed that many students had wrong oxidation number or no consideration for mass and charge balance.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.183-197
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• 1998

Many schools of the secondary level have been recently carrying out 'differentiated class'based on ability grouping between classed(DC). They are usually consisted of three levels; high level available to enriched course, middle level, and low level available to supplemental course. Phrhaps, almost all of the schools might nave executed DC before 2000 year. To do this, a lots of teachers have to develop differentiated teaching and learning materials for themselves. But, these mateirals are usually consisted of differentiated mathematics not on 'content'but on 'items'. So, for the successful 7th differentiated curriculum, the issues such as teaching and learning methods, materials, and evaluation system should be considered in depth focused on DC. .Decide issues related to DC(for example, mathematical contents, methods, activities, class speed,extra)based not on teachers or experts but on students. .Differentiate teaching and learning mateirals according to DC and develop the materials(including guidelines, supplementary books, multimedia, extra) based not on mathematical items but on mathematical contents. .Introduce new mathematical concepts or laws using not only not only definition and explanation but also concrete examples or problems. .Suggest differentiated diverse projects related to mathematical subjects suitable to enhance students` thinking ability to each class. .Have students to develop projects successfully by collecting, representing, analyzing, and interpreting data through communications in a cooperative learning environment.

• Education of Primary School Mathematics
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• v.7 no.1
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• pp.31-41
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• 2003

Representation has been main topic in teaching and learning mathematics for a long time. Moreover, teachers' deficiency of representation about fraction results in teaching algorithms without conceptual understanding. So, this paper was conducted to investigate and analysize the elementary preservice mathematics teachers' representation about fraction. 38 elementary preservice mathematics teachers participated in this study. This study results showed that, the only model of a fraction that was familiar to the preservice teachers was the part of whole one. And research showed that, they solved the problems about fraction well using algorithms but seldom express the sentence which illustrates the meaning of the operation by a fraction. Specially, the division aspect of a fraction was not familiar nor readily accepted. It menas that preservice teachers are used to using algorithms without a conceptual understanding of the meaning of the operation by a fraction. This results give us some implications. Most of all, teaching programs in preservice mathematics teachers education have to devise to form a network among the concepts in relation to fraction. And we must emphasize how to teach and what to teach in preservice mathematics teachers education course. Finally, we have to invent the various materials which can be used to educate both preservice teachers and elementary school students. If we want to improve the mathematical ability of students, we will concentrate preservice teachers education.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.163-180
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• 2019

This study introduces a development of calculus contents which makes to understand the main concepts of calculus in a short period of time and to enhance problem solving and computational thinking for complex problems encountered in the real world for college freshmen with diverse backgrounds. As a concrete measure, we developed 'Teaching and Learning' contents and Python-based code for Calculus I and II which was used in actual classroom. In other words, the entire process of teaching and learning, action plan, and evaluation method for calculus class with Python based coding are reported and shared. In anytime and anywhere, our students were able to freely practice and effectively exercise calculus problems. By using the given code, students could gain meaningful understanding of calculus contents and were able to expand their computational thinking skills. In addition, we share a way that it motivated student activities, and evaluated students fairly based on data which they generated, but still instructor's work load is less than before. Therefore, it can be a teaching and learning model for college mathematics which shows a possibility to cover calculus concepts and computational thinking at once in a innovative way for the 21st century.

• The Mathematical Education
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• v.27 no.1
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• pp.15-23
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• 1988

We are at the onset of a major revolution in education, a revolution unparalleled since the invention of the printing press. The computer will be the instrument of this revolution. Computers and computer application are everywhere these days. Everyone can't avoid the influence of the computer in today's world. The computer is no longer a magical, unfamiliar tool that is used only by researchers or scholars or scientists. The computer helps us do our jobs and even routine tasks more effectively and efficiently. More importantly, it gives us power never before available to solve complex problems. Mathematics instruction in secondary schools is frequently perceived to be more a amendable to the use of computers than are other areas of the school curriculum. This is based on the perception of mathematics as a subject with clearly defined objectives and outcomes that can be reliably measured by devices readily at hand or easily constructed by teachers or researchers. Because of this reason, the first large-scale computerized curriculum projects were in mathematics, and the first educational computer games were mathematics games. And now, the entire mathematics curriculum appears to be the first of the traditional school curriculum areas to be undergoing substantial trasformation because of computers. Recently, many research-Institutes of our country are going to study on computers in orders to use it in mathematics education, but the study is still start ing-step. In order to keep abreast of this trend necessity, and to enhance mathematics teaching/learning which is instructed lecture-based teaching/learning at the present time, this study aims to develop/present practical method of computer-using. This is devided into three methods. 1. Programming teaching/learning method This part is presented the following five types which can teach/learn the mathematical concepts and principle through concise program. (Type 1) Complete a program. (Type 2) Know the given program's content and predict the output. (Type 3) Write a program of the given flow-chart and solve the problem. (Type 4) Make an inference from an error message, find errors and correct them. (Type 5) Investigate complex mathematical fact through program and annotate a program. 2. Problem-solving teaching/learning method solving This part is illustrated how a computer can be used as a tool to help students solve realistic mathematical problems while simultaneously reinforcing their understanding of problem-solving processes. Here, four different problems are presented. For each problem, a four-stage problem-solving model of polya is given: Problem statement, Problem analysis, Computer program, and Looking back/Looking ahead. 3. CAI program teaching/learning method This part is developed/presented courseware of sine theorem section (Mathematics I for high school) in order to avail individualized learning or interactive learning with teacher. (Appendix I, II)

• Journal of The Korean Association For Science Education
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• v.11 no.1
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• pp.117-126
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• 1991

The new movement in science education in America and Europe has been heavilly oriented into technological and soceital aspect of science since 1970. However, this spirit has not been well informed in Korea and not adapted in science education. This paper aimed to arouse Korean science educators attention to everyday situation as a science education context. In this paper, the discipline centered science education was briefly reviewed and problems related to the philosophy was pointed out. At the same time the researcher introduced STS context as a science education objective, and elaborated the three elements(physical situation, technological situation. and societal situation) of the context. In the paper, the advantages of the use of everyday context in science education were examined. THe advantages were analysed in terms of the nature of science, learning psychology, integrated science, and societal aspect of science education. The paper also suggested the criteria to select teaching materials from STS context. The suggested criteria were the degree of science concepts involvement, frequency of experience, strength of experience, and possibility of direct experience.