• Communications of Mathematical Education
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• v.31 no.2
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• pp.223-239
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• 2017

In this paper, it is aimed to design the teaching units 'Inquiry into the isoperimetric problem of triangle and quadrilateral' to give elementary gifted students experience of mathematization. For this purpose, the teacher and the class observer (researcher) made a discussion about the design of the teaching unit through the analysis of the class based on the thought processes appearing during the problem solving process of each group of students. The following is a summary of the discussions that can give educational implications. First, it is necessary to use mathematical materials to reduce students' cognitive gap. Second, it is necessary to deeply study the relationship between the concept of side, which is an attribute of the triangle, and the abstract concept of height, which is not an attribute of the triangle. Third, we need a low-level deductive logic to justify reasoning, starting from inductive reasoning. Finally, there is a need to examine conceptual images related to geometric figure.

• Journal of Korean Elementary Science Education
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• v.24 no.5
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• pp.531-538
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• 2005

The primary purpose of the study was to investigate the degree of difficulty and the causes of the difficulties in science instruction reported by elementary teachers and students. The secondary purpose was to suggest the effective methods to both of them to improve the efficiency of science instruction. For this study, the survey was carried out on 322 students and 156 teachers in the 3rd, 4th, and 5th grades. The questionnaires consisted of interest, difficulty and its factors. The results of this investigation are summarized as follows; 1. Teachers had relatively higher interest than students in science instruction content(textbook). Furthermore, the units that teachers showed interest differed from those that students had. This means that there is a significant difference of interest in instruction process between teachers and students. 2. Teachers felt much higher difficulty than students in the content of science instruction. This shows that the degree of interest might have little relation with that of difficulty, and that teaching of science seemed more difficult than teaming. Moreover, there was a difference of difficulty in the units between the teachers and students. The result shows a distinctive difference of difficulty in 8 units of the 3rd grade, 9 units n the 4th grade, and 12 units in the 5th grade (p<.05, p<.001, p<.005, respectively). It means that the difficulty depended on the units. 3. Students responded that they are responsible for difficulty factors of teaming, otherwise teachers thought that students are responsible for it, when the factors were divided into student factor, teacher factor, and curriculum factor. 4. Students demanded many experiments in the lab as well as easy and interesting instructions in order to reduce the degree of difficulty and to improve the condition of science instructions. However, teachers demanded the expansion of experimental equipments and materials as well as the improvement of the lab condition.

• School Mathematics
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• v.7 no.2
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• pp.139-168
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• 2005

The purpose of this study is to investigate children's informal knowledge of the fractional multiplication and to develop a teaching material connecting the informal and the formal knowledge. Six lessons of the pre-teaching material are developed based on literature reviews and administered to the 7 students of the 4th grade in an elementary school. It is shown in these teaching experiments that children's informal knowledge of the fractional multiplication are the direct modeling of using diagram, mathematical thought by informal language, and the representation with operational expression. Further, teaching and learning methods of formalizing children's informal knowledge are obtained as follows. First, the informal knowledge of the repeated sum of the same numbers might be used in (fractional number)$\times$((natural number) and the repeated sum could be expressed simply as in the multiplication of the natural numbers. Second, the semantic meaning of multiplication operator should be understood in (natural number)$\times$((fractional number). Third, the repartitioned units by multiplier have to be recognized as a new units in (unit fractional number)$\times$((unit fractional number). Fourth, the partitioned units should be reconceptualized and the case of disjoint between the denominator in multiplier and the numerator in multiplicand have to be formalized first in (proper fractional number)$\times$(proper fractional number). The above teaching and learning methods are melted in the teaching meterial which is made with corrections and revisions of the pre-teaching meterial.

• The Mathematical Education
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• v.62 no.1
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• pp.1-21
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• 2023

The purpose of this study is to explore how the student, who interiorized three levels of units, constructed fractions as multipliers by analyzing her ways of conceiving improper fractions with three levels of units and coordinating two three-levels-of-units structures. Among the data collected from our teaching experiment with two 4th grade students meeting 13 times for three months, we focus on how Seyeon, one of the participating students, wrote numerical expressions in the form of "× fraction" for the given situations using her splitting operation for composite units. Given the importance of splitting operation for composite units for the construction of fractions as multipliers, implications for further research are discussed.

• Journal of Engineering Education Research
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• v.7 no.2
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• pp.51-59
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• 2004

The signs have been used as the world-wide common language. Because all units have their own meanings, their usage should be kept correctly. This paper shows how middle school students know and keep the usage of SI units. And this paper shows the necessity of teaching the students correct units in their schools.

• Journal of the Korean earth science society
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• v.27 no.7
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• pp.715-722
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• 2006

This study intended to find evidence of changes in teacher beliefs of teaching and learning and a case of infusing research experiences in teaching modules since their research participation. As part of this study, twenty three science and math teachers in Korea were provided with science research labs and field experiences in the University of Iowa for three weeks. The research units that teachers participated in for three weeks covered seven fields of subjects such as: geology, astronomy, chemistry, physics, mathematics, computer science, and environmental engineering. In the course of this study, the effectiveness of science research participation program was explored in terms of changing teacher beliefs and their production of teaching modules based on their research. This study especially focused on identifying changes of beliefs on science teaching and learning after participating in the research. A case study of a participant teacher was also conducted by comparing descriptively teaching modules before and after experiencing the program. It was found that the program affected the new modules and the research experiences affected participants' beliefs toward student centeredness.

• Journal of The Korean Association For Science Education
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• v.37 no.4
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• pp.693-703
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• 2017

In this study, 37 elementary, middle, and high school science teachers attending graduate schools of education were surveyed about their thoughts about the difficulty of teaching science units and teaching methods to teach these units to students. After experiencing the activity of making new teaching tools using scratch, we tried to confirm the development of TPACK among the teachers. Through the questionnaire survey for elementary, secondary, and high school science teachers, we selected the unit of Planetary Movement of the Solar System as a unit that is difficult for teachers to teach. We gave them the experience of instruction on tool making process for implementing a planetary operation model using scratch. Then, based on the questionnaires and class presentations, we analyzed the change of awareness about technology introduction and the development of their TPACK. As a result, most of the teachers showed changes of perceptions related to TK, TCK, TPK; the use of programming for creating teaching materials enhances teachers' understanding of the teaching contents; the teachers were convinced that students would develop the ability to construct models that fit observational phenomena; they thought that there would be a positive educational effect in the positive domain.

• Communications of Mathematical Education
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• v.20 no.2 s.26
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• pp.147-177
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• 2006

The 7th curriculum sets a basic direction based on learner centered teaching, with the aim of allowing students to develop their mathematical ability. Teachers' manuals are provided to help teachers fallow the basic direction and achieve the curriculum aims, but in practice they are not always helpful. Therefore, we reconstructed parts of a teachers' manual. This involved analyzing the contents of units 6, 7 and 8 of the elementary mathematics textbook 4 na to identify and outline the problems; introducing more detailed teaching methods and activities; and developing teaching learning materials. We tested the new version in several real classes and analysed the responses 6f teachers and students to examine the possibility of its practical use. The results suggest that the reconstructed version of the teachers' manual for units 6, 7 and 8 of textbook 4 na is of greater practical utility.

• MALSORI
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• no.47
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• pp.15-29
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• 2003

When intonation in French is analysed in terms of a multi-dimentional and hierarchical structure, each of the prosodic units such as accent phrases(having different combinations of the basic tonemes L and H), pre-sentencial and post-sentencial long pauses, intonation phrases(containing boundary intonation), as well as intermediate phrases can be considered being realized on a separate tier. Unlike on the tiers where accent phrases and intonation phrases occur, an intonation rhythm consisting of plateaus is realised on that of intermediate phrases. This intonation rhythm consisting of plateaus is one of the significant factors that lead a basic French metrical rhythm. This paper first shows the types of combinations of the basic tonemes L and H found in French accent phrases. Secondly, this paper examines the roles intermediate phrases and plateaus play in French. Finally, this paper argues that intermediate phrases are the metrical units actually adopted as real utterance units in French.

• Journal of the Korean association of regional geographers
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• v.11 no.4
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• pp.523-535
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• 2005

This study is aimed at researching the applicability of teaching-learning models in highschool geography class by designing the models on the basis of geographical experience the learners go through everyday life. The procedures and results of the application of the models are as followed. First, the systematization of the teaching concepts should be preceded to internalize the learners cognitive development, that is, to systemize cognitive structure. The concrete learning points of geographical concepts from the units about Migration and Population Changes are systemized with 'migration' as a higher concept, 'moving type' as basic concept, 'moving factors' as the lower concept. Everyday geographical experiences the students can go through are surveyed. Second, as preparation for the geography class, hand-outs about family-moving history and the change of the family number were used as basic material for real class teaching activity, showing the learners' general concepts are very effective as basic units which can be easily understood and accessed to. Third, with the experimental class, the geography class should secure the flexibility on the teaching-learning process. The result of applying the newly developed teaching-learning model to actual geography classes was that experimental group had higher achievement rate than the compared group with general teaching-learning model applied to. The result of analyzing students' response of the new teaching-learning model was that the students were interested and satisfied emphatically and they showed positive response in regard to practical use of the contents. Here, it is noticeable that the new teaching-learning model causes the students to be interested. But it's also found that there's no big difference in improving the students' inquisitive mind.