• Research in Mathematical Education
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• v.6 no.1
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• pp.97-106
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• 2002

Educators have found that the concept of randomness is often misunderstood by students. Chance recently pointed out that students should be introduced to the concept of randomness through the use of simulations. In this article, we studied various aspects of the probability distribution off linear random path in a circle and introduce some related simulations to guide student exploration and discovery. Consider a random line segment that crosses a circle with a certain radius. Perhaps it can be considered to be a path that an airplane shows up and flies into a random direction in a monitor. What is the expected amount of flying distance through the monitor, and the expected variation\ulcorner Are we monitoring what we see scientifically\ulcorner This article studies the probability distribution and some related aspects of a linear random path within a circular monitor. Some simulative activity is also introduced which can be used in a statistics or probability classes.

• Education of Primary School Mathematics
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• v.7 no.1
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• pp.43-56
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• 2003

In late 19C, German mathematician Felix Klein declaired "Erlangen program" to reform mathematics education in Germany. The main ideas of "Erlangen program" contain the importance of instructing the concepts of functions and groups in school mathematics. After one century from that time, the importance of concepts of groups revived by Bourbaki in the sense of the algebraic structure which is the most important structure among three structures of mathematics - algebraic structure. ordered structure and topological structure. Since then, many mathematicians and mathematics educators devoted to work with the concepts of group for school mathematics. This movement landed on Korea in 21C, and now, the concepts of groups appeared in element mathematics text as plane rigid motion. In this paper, we state the rigid motions centered the symmetry - an important notion in group theory, then summarize the results obtained from some classroom activities. After that, we discuss the responses of children to concepts of groups.of groups.

• Research in Mathematical Education
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• v.15 no.3
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• pp.229-250
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• 2011

The Mathematics Teaching Efficacy Beliefs Instrument is one of the most popular instruments used to measure elementary preservice teachers' efficacy beliefs in mathematics teaching. The instrument was, however, developed in the United States and is perhaps not appropriate for other cultures. In this study, the instrument was translated into Korean and carefully reviewed by Korean mathematics teacher education professors. Analysis of the review indicated that eight out of the 21 items were appropriate while the others needed to be revised. Items were identified as inappropriate due to awkwardness, multiple meanings, tense disagreements, and vagueness. These items were modified to better fit the Korean context. The instrument was revised with two versions: one for elementary and the other for secondary pre service teachers.

• Research in Mathematical Education
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• v.15 no.3
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• pp.295-310
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• 2011

Teachers' attitudes and beliefs are related to teaching practices and are dependent upon their teaching domain. The present study compares conceptual models of creative student oriented teaching practices of mathematics teachers in two OECD countries, South Korea and Turkey to provide an insight for teacher educators and policy makers. Teaching and Learning International Survey 2008 (TALIS 2008) data are used to test the fit of a path analysis model with a subsample of l337 middle school mathematics teachers ($N_{Korea}$ = 562 vs. $N_{Turkey}$ = 775). The study showed that Turkish teachers were younger and less experienced, whereas Korean teachers were better educated. Despite the statistical differences in attitudes, beliefs and practices between countries, it was found that the teaching practices of mathematics teachers in both countries were more complex than to be explained only through attitudes and beliefs.

• Research in Mathematical Education
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• v.14 no.3
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• pp.219-231
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• 2010

Mathematically, a proof is to create a convincing argument through logical reasoning towards a given proposition or a given statement. Mathematics educators have been working diligently to create environments that will assist students to perform proofs. One of such environments is the use of dynamic-geometry-software in the classroom. This paper reports on a case study and intends to probe into students' own thinking, patterns they used in completing certain tasks, and the extent to which they have utilized technology. Their tasks were to explore the shape-to-shape, shape-to-part, and part-to-part interrelationships of geometric objects when dealing with certain geometric problem-solving situations utilizing dissection-motion-operation (DMO).

• The Mathematical Education
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• v.52 no.4
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• pp.567-586
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• 2013

The purpose of this study was to introduce the Knowledge Quartet (KQ) framework by which we can analyze teacher knowledge revealed in teaching mathematics. Specifically, this paper addressed how the KQ framework has been developed and employed in the context of research on teacher knowledge. In order to make the framework accessible, this paper analyzed an elementary school teacher's knowledge in teaching her fifth grade students how to figure out the area of a trapezoid using the four dimensions of the KQ (i.e., foundation, transformation, connection, and contingency). This paper is expected to provide mathematics educators with a basis of understanding the nature of teacher knowledge in teaching mathematics and to induce further detailed analyses of teacher knowledge using some dimensions of the KQ framework.

• Journal of Fashion Business
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• v.14 no.3
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• pp.146-153
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• 2010

The purpose of this study was to examine understanding consumers' purchasing intention toward sustainable apparel regarding buying experience, majors, and age. A random sample of 172 undergraduate students completed a questionnaire that contained measures of demographic information, past sustainable buying experiences, and purchasing intentions toward sustainable apparel. Based on literature review, three research questions were proposed. For data analysis, descriptive statistics and t-test were used. Based on these results, this research provided acceptable information based upon the consumer's purchasing intentions toward sustainable apparel, after being placed into groups of buyers and non-buyers. Buyers had more willing to purchase sustainable apparel than non-buyers. Also the results revealed that fashion majors hold a higher level of significance than non-fashion majors and their intentions to purchase sustainable apparel. Finally, older students (over 21 years old) have more purchasing intentions toward sustainable apparel than younger students (under 21 years old). Based on these results, some implications for educators and marketers would be suggested.

• Research in Mathematical Education
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• v.8 no.3
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• pp.123-144
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• 2004

There is a tradition of advocating the 'two basics' (basic knowledge and basic skills) in Chinese mathematics education. The direct consequence is that Chinese students are able to produce excellent performance in the international mathematics examinations and outstanding results in the international mathematics competitions. In this article, we will present why and how Chinese teachers teach the 'two basics,' and how combine the pupil's creativity with their 'two basics.' Open ended problem solving is a way to meet the goal. The following topics will be concerned: Culture background; the speed of computation; 'make perfect' ; Efficiency in classroom; Balance between 'two basics' and personal development. In Particular, Chinese mathematics educators pay more attentions to the link between open ended problem solving and the 'two basics' principal.

• Journal of Korean Elementary Science Education
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• v.32 no.1
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• pp.1-9
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• 2013

This study aimed to analyze the characteristics of good science teachings regarded by preservice elementary school teachers. It also aimed to suggest a direction of peer teaching practice to help preservice teachers' professional development. Adjacency pairs were adopted to analyze the characteristics of good science teachings. The results showed that pre-service elementary teachers were accustomed to adjacency pairs. Almost of their discourse were organized by adjacency pairs. 'Question-Answer' and 'Request-Accept' were mainly used in science classes by pre-service elementary teachers. Based on the findings, the study suggested science teacher educators to provide chances to analyze exemplary science teachers' science class or chances to analyze their science teachings in terms of competence of science classroom discourse.

• Journal of the Korean earth science society
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• v.26 no.4
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• pp.336-346
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• 2005

This study identifies and compares science content standards that are approved by departments of education in six states: California, Connecticut, Michigan, New Jersey, Texas, and Virginia. Specifically, the study examines the goals/visions, the organizing/progression principles, the strands of science content, and earth science content found in the states curriculum standards compared to National Science Education Standards. Although many states followed the recommendations of NSES or Project 2061, the format and content of the state science standards reviewed are very diverse. The diversity seems to reflect the diverse perspectives and needs of the states. The results of this study provide Korean educators and teachers with useful models or examples to incorporate Korean national science curriculum guides into the science curriculum frameworks of their regions or schools.