• Journal of Elementary Mathematics Education in Korea
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• v.12 no.2
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• pp.185-204
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• 2008

The purposes of this study are to analyze sentence structures of word problems suggested in educational math programs for the 2nd grade elementary students and error patterns in sentence interpretation, and examine how sentence structures influence on errors during sentence comprehension. Based on the results of the analysis on 168 word problems suggested in math textbooks for the 2nd grade elementary students and error patterns observed while 160 the 2nd grade elementary students attempted to solve math word problems, easy and simple vocabularies are repeatedly used in the sentence structures of word problems and specific real life materials such as fruits, books, the number of people and etc. were repeatedly used. 51.56% of errors in sentence interpretation observed was higher than 39.20% of calculation errors and backtracking operation, a length of sentences, the numbers used in questions and off were analyzed to be involved in the errors in interpretation. Therefore, it is very important to make word problems from a student's points of view rather than a teacher's point of view and the study suggests that teachers help students learn basic sentence interpretation skills.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.83-103
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• 2014

The purpose of this paper is to find a method of measuring mathematical creativity reasonably. In the pursuit of this purpose, we designed four multiple solution tasks that consist of two kinds of open tasks; 'tasks with open solutions' and 'tasks with open answers'. We collected data by conducting an interview with a gifted fifth grade student using the four multiple solution tasks we designed and analyzed mathematical creativity of the student using Leikin's model(2009). Research results show that the mathematical creativity scores of two students who suggest the same solutions in a different order may vary. The more solutions a student suggests, the better score he/she gets. And fluency has a stronger influence on mathematical creativity than flexibility or originality of an idea. Leikin's model does not consider the usefulness nor the elaboration of an idea. Leikin's model is very dependent on the tasks and the mathematical creativity score also varies with each marker.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.181-200
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• 2005

The purpose of this thesis was to analyze communicational means of mathematical communication in perspective of languages and behaviors. Research questions were as follows; First, how are the characteristics of mathematical languages in communicating process of mathematical small group learning? Second, how are the characteristics of behaviors in communicating process of mathematical small group learning? The analyses of students' mathematical language were as follows; First, the ordinary language that students used was the demonstrative pronoun in general, mainly substituted for mathematical language. Second, students depended on verbal language rather than mathematical representation in case of mathematical communication. Third, quasi-mathematical language was mainly transformed in upper grade level than lower grade, and it was shown prominently in shape and measurement domain. Fourth, In mathematical communication, high level students used mathematical language more widely and initiatively than mid/low level students. Fifth, mathematical language use was very helpful and interactive regardless of the student's level. In addition, the analyses of students' behavior facts were as follows; First, students' behaviors for problem-solving were shown in the order of reading, understanding, planning, implementing, analyzing and verifying. While trials and errors, verifying is almost omitted. Second, in mathematical communication, while the flow of high/middle level students' behaviors was systematic and process-directed, that of low level students' behaviors was unconnected and product-directed.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.745-768
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• 2010

The purpose of this study at gifted students' solving ability of the given study task by using all knowledge and tools which encompass mathematical contents and curriculums, and developing the teaching learning materials of gifted students in accordance with their level which tan enhance their mathematical thinking ability and develop creative idea. With these considerations in mind, this paper sought for the standard and procedures of teaching learning materials development according to the levels for the education of the mathematically gifted students. presented the procedure model of material development, produced teaching learning methods according to levels in the task of figurate number, and developed prototypes and examples of teaching learning materials for the mathematically gifted students. Based on the prototype of teaching learning materials for the gifted students in mathematics in accordance with their level, this research developed the materials for students and materials for teachers, and performed the modification and complement of material through the field application and verification. It confirmed various solving processes and mathematical thinking levels by analyzing the figurate number tasks. This result will contribute to solving the study task by using all knowledge and tools of mathematical contents and curriculums that encompass various mathematically gifted students, and provide the direction of the learning contents and teaching learning materials which can promote the development of mathematically gifted students.

• School Mathematics
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• v.11 no.4
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• pp.643-664
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• 2009

This study was aimed to understand the problems that students experience during the self--directed study of a mathematics digital textbook and to find the implications for the design of digital textbook. For this study, we analyzed the process of self-directed learning on 'division of fractions with same denominator' using digital textbook by eight 6th graders. Students asked to use think aloud method while they study the unit. Their learning process was videotaped and analyzed by researchers after the experiment. After the self-directed learning, students filled out a test items and participated interview with a researcher. The result showed that students experienced several misconceptions and errors while using a digital textbook. The types of misconceptions and errors were cataegorized as "misconceptions and errors caused by a mathematics textbook" and "misconceptions and errors caused by a digital textbook". Especially, students showed several important misconceptions and errors because of the design factors. This implies we need to consider the causes of misconceptions for the design of a digital textbook.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.1-19
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• 2012

Kant defines mathematical cognition as the cognition by reason from the construction of concepts. In this paper, I inquire the meaning and the characteristics of the construction of concepts based on Kant's theory on the sensibility and the understanding. To construct a concept is to exhibit or represent the object which corresponds to the concept in pure intuition apriori. The construction of a mathematical concept includes a dynamic synthesis of the pure imagination to produce a schema of a concept rather than its image. Kant's transcendental explanation on the sensibility and the understanding can be regarded as an epistemological theory that supports the necessity of arithmetic and geometry as common core in human education. And his views on mathematical cognition implies that we should pay more attention to how to have students get deeper understanding of a mathematical concept through the construction of it beyond mere abstraction from sensible experience and how to guide students to cultivate the habit of mind to refer to given figures or symbols as schemata of mathematical concepts rather than mere images of them.

• The Korean Journal of Applied Statistics
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• v.15 no.1
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• pp.153-163
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• 2002

There seems to be a little trouble in delivering an effective teaching of statistics at the school of Business. Students attitude toward the understanding of mathematics appears to be one of the hindrances encountered to the wide spread use of statistics. Nevertheless, the usefulness of statistics is notably appreciated these days although students may not be aware of it. It is true that many processes of decision-making are based on various future uncertainties, however, decisions must be made at the present. In this synopsis, we would like to solve simple business problems, thereby, suggest more constructive ways to match the statistics with the interest of management. We, in the mean time, will talk about the understanding of business, method of teaching, and Monte Carlo education.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.369-393
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• 2019

The purpose of this study is to find the commonality between process-focused assessment and existing performance evaluation and to find out whether the process-focused assessment is effective for the development of the character of school mathematics. By analyzing the previous research, this study defined the meaning of process-focused assessment as an evaluation that can improve students' growth and quality of class through immediate feedback by introducing various performance tasks and evaluation methods. The character of school mathematics refers to personality factors that are easily expressed and cultivated during math classes. Therefore, this study presented examples of the feasibility of process-focused assessment focusing on geometry and vector subjects and examined the effectiveness of mathematics and character development through process-based evaluation. Four course-based assessments (math experiments, logic, proof, and communication) aimed at cultivating the character of school mathematics were conducted from March to June 2019 for the third year of high school. The index was measured. Analysis of the results using the corresponding variable t-test showed that the process-based evaluation in this study had a significant effect on the character of school mathematics development.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.159-177
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• 2020

Education researchers have been continuously interested in the teacher's ability to design lessons and conducted various studies in order to improve the teacher's professionalism in determining the quality of school instruction. So, this study explored the change of instructional design through the lesson reflection of pre-service mathematics teachers who participated in practicum settings. As a result, in the lesson plan prepared by pre-service mathematics teachers, the motivation to induce learning in the introduction stage, to present the learning contents in the development stage, and to reconstruct the formative evaluation of the closing stage was the highest rate. And the categories of the reconstructed contents appeared intensively in terms of curriculum contents and teaching and learning methods. This result can be attributed to the lack of experience in designing and performing lessons by pre-service mathematics teachers, so it suggests that the opportunity to design and conduct classes that take into account the practical aspects of education should be provided in the preparation process for pre-service mathematics teachers.

• School Mathematics
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• v.17 no.1
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• pp.79-98
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• 2015

The purpose of this study was to develop the elementary mathematics textbooks as a thematic approach, to suggest meaningful directions to future textbook development and curriculum development. For this study, we suggested mathematics textbooks of the three-themes, 'Healthy Life', 'Sustainable Life', 'Living-together Life', as multi-disciplinary, inter-disciplinary, and extra-disciplinary types. With the problems that employed thematic approaches, the post-achievement scores of experimental groups who used 'Healthy Life' and 'Sustainable Life' textbooks were meaningfully higher than those of control groups. However, the post-achievement scores of experimental groups who used 'Living-together Life' textbook were not meaningfully higher than those of control groups. The attitudes towards mathematics of all three experimental groups were meaningfully higher than those of control groups. After applications of elementary mathematics textbooks as a thematic approach, we need to develop related materials, to consider various grades, levels, regions for developing better mathematics textbooks.