• Journal of Elementary Mathematics Education in Korea
• /
• v.21 no.1
• /
• pp.215-241
• /
• 2017

This study analyzed teachers' Pedagogical Content Knowledge (PCK) regarding the pedagogical aspect of the instruction of ratio and rate in order to look into teachers' problems during the process of teaching ratio and rate. This study aims to clarify problems in teachers' PCK and promote the consideration of the materialization of an effective and practical class in teaching ratio and rate by identifying the improvements based on problems indicated in PCK. We subdivided teachers' PCK into four areas: mathematical content knowledge, teaching method and evaluation knowledge, understanding knowledge about students' learning, and class situation knowledge. The conclusion of this study based on analysis of the results is as follows. First, in the 'mathematical content knowledge' aspect of PCK, teachers need to understand the concept of ratio from the perspective of multiplicative comparison of two quantities, and the concept of rate based on understanding of two quantities that are related proportionally. Also, teachers need to introduce ratio and rate by providing students with real-life context, differentiate ratios from fractions, and teach the usefulness of percentage in real life. Second, in the 'teaching method and evaluation knowledge' aspect of PCK, teachers need to establish teaching goals about the students' comprehension of the concept of ratio and rate and need to operate performance evaluation of the students' understanding of ratio and rate. Also, teachers need to improve their teaching methods such as discovery learning, research study and activity oriented methods. Third, in the 'understanding knowledge about students' learning' aspect of PCK, teachers need to diversify their teaching methods for correcting errors by suggesting activities to explore students' own errors rather than using explanation oriented correction. Also, teachers need to reflect students' affective aspects in mathematics class. Fourth, in the 'class situation knowledge' aspect of PCK, teachers need to supplement textbook activities with independent consciousness and need to diversify the form of class groups according to the character of the activities.

• Journal of Educational Research in Mathematics
• /
• v.22 no.4
• /
• pp.495-515
• /
• 2012

This study is to diversely analyze teachers' Pedagogical Content Knowledge (PCK) regarding to the area of plane figures and discuss the consideration for the materialization of the effective class in learning the area of plane figures by identifying the improvements based on problems indicated in PCK. The subjects of inquiry are what the problems with teachers' PCK regarding to the area of plane figures are and how they can be improved. In which is the first domain of PCK, teachers need to fully understand the concept of the area and the properties and classification of the area and length, recognized the sequence structure as a subject of guidance and improve the direction which naturally connects the flow of measurement by using random units in guidance of the area. In which is the second domain of PCK, teachers need to establish understanding of the concept for the area and understanding of a formula as a subject matter object and improve the activity, discovery and research oriented class for students as a guidance method by escaping from teacher oriented expository class and calculation oriented repetitive learning. They also need to avoid the biased evaluation of using a formula and evenly evaluate whether students understand the concept of the area as a performance evaluation method. In which is the third domain of PCK, teachers need to fully understand the concept of the area rather than explanation oriented correction and fundamentally teach students about errors by suggesting the activity to explore the properties of the area and length. They also need to plan a method to reflect student's affective aspects besides a compliment and encouragement and apply this method to the class. In which is the fourth domain of PCK, teachers need to increase the use of random units by having an independent consciousness about textbooks and supplementing the activity of textbooks and restructure textbooks by suggesting problematic situations in a real life and teaching the sequence structure. Also, class groups will need to be divided into an entire group, individual group, partner group and normal group.

• Journal of the Korean Institute of Landscape Architecture
• /
• v.43 no.1
• /
• pp.139-156
• /
• 2015

The knowledge-based society of the 21st century requires a new kind of professional. Studio education has been the core pedagogical method to bridge the practical world and higher education in the field of landscape architecture. However, it is questioned whether studio classes have truly been performed from the learners' perspectives to solidify the competencies to meet the demands of the changing society. This study tries to draw key issues related to studio pedagogy in order to make a foundation for the improvement of studio classes in landscape architectural education. Five issues regarding landscape architectural studio education have been suggested through the literature review of three categories: the core competencies required for the future professionals, the pedagogical paradigm shift, and the changes along the evolution of landscape professions and curricula. The first issue is suggested as to approach the competencies from the holistic and systematic approach to define landscape architectural professionals for the 21st century. Second, studio classes should be redefined in the context of an entire curriculum, and, as a consequence, the linkage among the individual courses is found to be important. Third, design studio classes need to be restructured to have differentiated pedagogical objectives for the development of the learning phase. Fourth, it becomes crucial to research the pedagogical methodology and the reflective actions of instructors. Finally, it is required to think about what it means to be practical in the context of studio classes and the enhancement of educational infrastructure for the studio classes is to be important.

• Education of Primary School Mathematics
• /
• v.25 no.2
• /
• pp.197-211
• /
• 2022

In this study, we tried to find a way to improve the pedagogical decision-making practices related to the presentation order of 'large number' and 'small number' in problem situations of subtraction of the natural number. For this purpose, the elementary school teachers' perception about problem situations in real-life context of subtraction of natural numbers was investigated, and the collected data were analyzed qualitatively and quantitatively to identify teachers' pedagogical perceptions. As a result of this study, it was confirmed the need for consideration on how to set up a problem situations in real-life context of subtraction so that students can develop their ability to solve various types of problems. To this end, not only in a problem situation of subtraction where you have to think of 'large number' first and 'small number' later, but also about the introduction of problem situations in real-life context of subtraction in which you think about 'small number' first and 'large number' later, which often appears in real-life. You will need to recognize the need. And you should have a pedagogical view on this. The results of this study will be able to contribute to the preparation of pedagogical method that can expand the understanding of various problem situations where subtraction is applied from the lower grades of elementary school.

• International Journal of Computer Science & Network Security
• /
• v.22 no.9
• /
• pp.251-257
• /
• 2022

Nowadays, the issues of comprehensive formation of a person capable of self-education, self-development and creative self-realization in the conditions of distance education are relevant. There is a need to solve this problem, which is due to social, cultural, and pedagogical factors. This makes it necessary to find effective means of personality formation. In this matter, great importance is attached to the modern method of forming a creative personality - art therapy. Various approaches to the definition of art therapy have been clarified. They consider various forms of art therapy when working with children, adolescents and adults in the context of distance education. The most relevant are the two main forms of work - individual and group art therapy. Art therapy develops the individual's creativity. Therefore, during art therapy, attention is focused on the inner world, experiences, and feelings. Therefore, we believe that in the context of distance education, art therapy has everything for the powerful potential of personality formation. Scientists consider this therapy as therapy by means of art, which is based on experiences, conflicts that can be expressed in the visual arts and music. Art therapy helps to get rid of conflicts and experiences. This happens in the context of distance education through the development of attention to feelings, strengthening one's own personal value and increasing artistic competence. The article describes the signs that characterize art therapy. Art-therapeutic technologies in the context of distance education, which are now actively used by psychologists, teachers and art therapists themselves, are highlighted. The advantages of distance learning are considered. The characteristic features of distance learning and features of the use of art therapy by means of distance education in the process of professional training of specialists are determined.

• Journal of Educational Research in Mathematics
• /
• v.13 no.4
• /
• pp.429-446
• /
• 2003

Gu-il-jip is a mathematical book of Chosun dynasty in the 18c. It consists of nine chapters including more than 473 problems and their solutions. Analyzing the problems and their solutions, we can appreciate the mathematical researches by the professional mathematicians of Chosun. Especially, it is worth noting the followings: - units for measuring and decimal notations - $\pi$, area of circle, volume of sphere - naming the powers - counting rods - excess and deficit: calculation technique for excess-deficit relations among quantities - rectangular arrays: calculation technique for simultaneous linear equations - 'Thien Yuan' notation: method for representing equations - 'Khai Fang': algorithm for numerical solution of quadratic, cubic and higher equations Based on these analyses, some pedagogical applications are proposed.

• Journal of the Korean Operations Research and Management Science Society
• /
• v.27 no.3
• /
• pp.135-144
• /
• 2002

The purpose of this study is to examine the effects of computer-based creativity training. Four groups of vocational high school students totaling 151 were used as experimental subjects. Two dimensions of treatment were designed. One treatment dimension is the use of computer medium in education： computer based vs. paper-pencil setting of education. The second treatment dimension is the method of creativity training: technique-oriented training program vs. factor-oriented training program. Both a pretest and a post-test were administered to all participated students. The tests were composed of a Creative Figural Test and a Creative Product Test. After the pretest 8 sessions of creative training were delivered as intended in the design of the experiment. The Dost-test was arranged a week after the completion of the training sessions. The results of the study include： First, all the 4 groups showed certain amount of improvements in their scores of Creative Figural Test, while no improvements was observed in the creative product test score. Second, the technique-oriented creativity training was more effective than the factor-oriented under the context of computer-based education, and the factor-oriented training was more effective in the paper-pencil setting. The results suggest that different pedagogical approaches should be employed for computer-based training as compared to the paper-pencil education.

• Earthquakes and Structures
• /
• v.9 no.5
• /
• pp.999-1028
• /
• 2015

Despite the fact that the fundamental period appears to be one of the most critical parameters for the seismic design of structures according to the modal superposition method, the so far available in the literature proposals for its estimation are often conflicting with each other making their use uncertain. Furthermore, the majority of these proposals do not take into account the presence of infills walls into the structure despite the fact that infill walls increase the stiffness and mass of structure leading to significant changes in the fundamental period numerical value. Toward this end, this paper presents a detailed and indepth analytical investigation on the parameters that affect the fundamental period of reinforce concrete structure. The calculated values of the fundamental period are compared against those obtained from the seismic code and equations proposed by various researchers in the literature. From the analysis of the results it has been found that the number of storeys, the span length, the stiffness of the infill wall panels, the location of the soft storeys and the soil type are crucial parameters that influence the fundamental period of RC buildings.

• Journal of Educational Research in Mathematics
• /
• v.24 no.3
• /
• pp.311-331
• /
• 2014

For preservice teachers' instrumental-to-relational pedagogical content knowledge transformations, this research designed several didactical tasks based on Kinach's cognitive strategies. The researcher identified preservice teachers' understanding about what is a definition and how to teach it. By challenging their fixed ideas about definitions, the researcher could motivate them to embrace the new teaching approach which guides reinvention of definitions. The PCK development was not the simple process of filling their tabular rasa PCK with theories of mathematics education, but the dialectical process of identifying, challenging, changing and extending preservice teachers' existent PCK. This research will contribute to explore new directions of mathematics teachers' PCK development and the method of teacher education.

• Research in Mathematical Education
• /
• v.18 no.3
• /
• pp.171-185
• /
• 2014

Mathematically deductive reasoning skill is one of the major learning objectives stated in senior secondary curriculum (CDC & HKEAA, 2007, page 15). Ironically, student performance during routine assessments on geometric reasoning, such as proving geometric propositions and justifying geometric properties, is far below teacher expectations. One might argue that this is caused by teachers' lack of relevant subject content knowledge. However, recent research findings have revealed that teachers' knowledge of teaching (e.g., Ball et al., 2009) and their deductive reasoning skills also play a crucial role in student learning. Prior to a comprehensive investigation on teacher competency, we use a case study to investigate teachers' knowledge competency on how to teach their students to mathematically argue that, for example, two triangles are congruent. Deductive reasoning skill is essential to geometry. The initial findings indicate that both subject and pedagogical content knowledge are essential for effectively teaching this challenging topic. We conclude our study by suggesting a method that teachers can use to further improve their teaching effectiveness.