• Journal of the Korean School Mathematics Society
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• v.24 no.1
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• pp.127-150
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• 2021

Recently, in the field of mathematics education, mathematical noticing has been considered as an important element of teacher expertise. The meaning of mathematical noticing is the ability of teachers to notice and interpret significant events among various events that occur in mathematics class. This study attempts to analyze the differences of pre-service secondary teachers' mathematical noticing and confirm the factors that cause the differences between them. To accomplish this, the items on class critiques were established to identify pre-service secondary school teachers' mathematical noticing, and each of 18 pre-service secondary mathematics teachers were required to write a class critique by watching a video in which their micro-teaching was recorded. It was that the teachers' mathematical noticing can be identified by analyzing their critiques in three dimensions such as actor, topic, and stance. As a result, there were differences in mathematical noticing between pre-service secondary mathematical teachers in terms of topic and stance dimensions. The result suggests that teachers' mathematicl noticing can be differentiated by subject matter knowledge, pedagogical content knowledge, curricular knowledge, beliefs, experiences, goals, and practical knowledge.

• Journal of Science Education
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• v.44 no.1
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• pp.92-111
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• 2020

The 2015 revised science curriculum and NGSS (Next Generation Science Standard) suggest computational thinking as an inquiry skill or competency. Particularly, concern in computational thinking has increased since the Ministry of Education has required software education since 2014. However, there is still insufficient discussion on how to integrate computational thinking in science education. Therefore, this study aims to prepare a way to integrate computational thinking elements into scientific inquiry by analyzing the related literature. In order to achieve this goal, we summarized various definitions of the elements of computational thinking and analyzed general problem solving process and scientific inquiry process to develop and suggest the model. We also considered integrated problem solving cases from the computer science field and summarized the elements of the Computational Thinking-Scientific Inquiry (CT-SI) model. We asked scientists to explain their research process based on the elements. Based on these explanations from the scientists, we developed 'Problem-finding' CT-SI model and 'Problem solving' CT-SI model. These two models were reviewed by scientists. 'Problem-finding' model is relevant for selecting information and analyzing problems in the theoretical research. 'Problem solving' is suitable for engineering problem solving process using a general research process and engineering design. In addition, two teachers evaluated whether these models could be used in the secondary school curriculum. The models we developed in this study linked with the scientific inquiry and this will help enhance the practices of 'collecting, analyzing and interpreting data,' 'use of mathematical thinking and computer' suggested in the 2015 revised curriculum.

• Journal of Gifted/Talented Education
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• v.13 no.3
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• pp.45-68
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• 2003

The purpose of this research is to find out the usefulness of the Mentorship program for gifted science students. The usability has been proved by the results from a survey of a group of mentorship education students. Among those surveyed some are the students a gifted science education institute in university. Students have improved their own study ability, creative problem solving ability by performing the experiment planning on their own, and presented their papers through Mentorship program, and it is possibly observed that they have their own dignity as scientist by performing the actual science activities. Also, with the result of the survey, the effectiveness of the Mentorship program is very positive onto the students. Mentorship program is one of the educational method to widen the students' experience chances, and the depth of thought, and improve the scientific ability and creative problem solving ability.

• Journal of Educational Research in Mathematics
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• v.13 no.3
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• pp.227-246
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• 2003

In this paper, some terms of high school mathematics which read Chinese characters phonetically in Hangul are studied semantically. Nowadays, most terms of high school mathematics are terms of Chinese characters given the reading of them in Hangul alphabet. In such terms of Chinese characters, there are many loan-words from daily life and newly coined terms. Some such terms are examined in respect of meaningfulness and rule-ness. The degree of meaningfulness and rule-ness of loan-words from daily life are relative. Students seems familiar to loan-words usually, but it is difficult to know whether students seems to be familiar to loan-words or not. Degree of familiarity to a certain loan-word must be relative. In loan-words, there are such terms whose mathematical meaning is different from daily life meaning. Such terms are strong in rule-ness. Newly coined terms are strong in rule-ness. Students are not familiar to newly coined terms which are not used in daily life and have only mathematical meaning. In coining new terms using Chinese character, unit characters are related directly or indirectly to concept which unit characters want to express. So, It is possible to guess something unit characters want to express by investigating them. According to Vinner(1991), images can be evoked. But in case of reading Chinese characters phonetically in Hangul, it can not be guaranteed for Hangul mathematical terms to evoke images which the original mathematical terms evoked. To solve such problems semantic investigation of mathematical terms has been suggested. Through this process, transplanting images which the original mathematical terms evoked into Hangul terms are planned.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.11
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• pp.473-480
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• 2018

This study is intended to look into the effects of children's forest math game activities on their understanding of number and space concept. To achieve this, an evaluation was carried out to 20 4-year-old children in each group - experimental group and control group - by an evaluation sheet after forest math game activities during a total of 16 sessions 4 times a week for 4 weeks. The findings are as follows. First, children's forest math game activities had an effect on their understanding of number and space concept. Second, the difference between experimental group and control group showed that the experimental group received higher evaluation in the classifying and order finding items than the control group. It was confirmed that classifying and order finding in the forest math game were factors to help children's mathematical problem-understanding abilities. This implies that their forest math game activities have a positive effect on their mathematical problem-understanding abilities. Consequently, active forest math game activities for children are needed to help them understand the concept of number in the process of classifying task objects and solving tasks in order.

• School Mathematics
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• v.9 no.2
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• pp.291-312
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• 2007

As a result of observing the 10-th grade text books on mathematics now in use which show the way of introducing complex numbers for the first time, it is easy to see all the text books on mathematics use a quadratic equation $x^2+1=0$ for a new number i. However, Since using the new number i is artificial, this make students get confused in understanding the way of introducing complex numbers. And students who have problems with the quadratic equation can also have difficulty in understanding complex numbers. On the other hand, by using a coordinate plane with ordered pairs and arrows, students can understand complex numbers better because the number system can be extended systematically through intuitive methods. The problem is that how to bring and use ordered pairs and arrows to introduce complex numbers in highschool mathematics. To solve this problem, in this study, We developed a systematic and visible learning contents which make it possible to study the process of the step-by-step extension of number system that will be applied through elementary and middle school curriculum and all the way up to the introduction of complex numbers. After having applied the developed learning contents to the teaching and learning procedure, we can know that the developed learning contents are more efficient than the contents used in the text books on mathematics now in use.

• Journal of the Korean School Mathematics Society
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• v.17 no.1
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• pp.23-43
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• 2014

This study aims to develop strategies for improving the affective characteristics of Korean students based on results from international achievement tests. In pursuing the goal, different research methods are employed including a) analysis of the theories and literature regarding the affective domains included in PISA and TIMSS studies; b) analysis of the current situation and needs of Korean students with respect to the affective factors based on PISA and TIMSS results; c) case studies of best practices in relation to students' affective domains in Korea and abroad; and d) development of strategies for improving and supporting Korean students' affective characteristics. Especially, this paper describes meta-analyses of the results from the previous PISA and TIMSS studies. Afterwards, it reports statistical analyses results on the relationship between students' affective achievements and educational context variables. Data from TIMSS 2011, TIMSS 2007, PISA 2006, and PISA 2003 are used for the analyses, and contextual variables are selected through rigorous statistical analyses including frequency and correlation, and expert consultation. The effects of educational contextual variables on students' affective achievement in mathematics and science are analyzed through Hierarchical Linear Model.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.2
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• pp.257-278
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• 2014

The concept of zero(0) and calculations involving 0 are a few of the most difficult topics that students experience in learning mathematics. Therefore, it implies that proper guidance to help students understand the desirable concept of 0 and acquire calculating process involving 0 should be provided when we teach numbers and operations. This study aims to investigate instructional situations in relation to the errors of 0 and to search for efficient ways to teach them based on the previous research. To do this, we analysed elementary mathematics textbooks and workbooks. The result showed that $0{\div}$(a number) and the division of which quotient includes 0 as a middle digit lacked in current textbooks and workbooks. We devised the learning activities of the two topics for 3rd grades and 4th grades, respectively. We expect that the activities will be helpful to devise learning activities of textbook and suggest some implications for teaching the calculations involving 0.

• School Mathematics
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• v.11 no.2
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• pp.243-260
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• 2009

In this paper, we have designed a teaching unit for the learning mathematising of secondary pre-service teachers by exploring generalized fibonacci sequences. First, we have found useful formulas for general terms of generalized fibonacci sequences which are expressed as combinatoric notations. Second, by using these formulas and CAS graphing calculator, we can help secondary pre-service teachers to conjecture and discuss the limit of the sequence given by the rations of two adjacent terms of an m-step fibonacci sequence. These processes can remind secondary pre-service teachers of a series of some mathematical principles.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.437-453
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• 2007

In this thesis, look around about problems of the present mathematics education, and then it devised the alternative plan to improvement of educational spot that mathematics instruction which considers an individual differences it applied the portfolio. To minimize the level deepening of knowledge, we choose the instruction which classified by level in the classroom. Above all things, we lay emphasis on searching the method to student for oneself can feedback about studying contents. We also carry out this method to students in Sang Dong middle school from 2002 to 2005. Therefore, we develop the instruction it applied the portfolio, to effectual studying participation of the students. Go through this process, we settle down the instruction which classified by level it applied the portfolio in the classroom at 2005 and produce a result that the instruction have an positive effect on the students' cognitive and sentimental filed.