• Communications of Mathematical Education
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• v.24 no.3
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• pp.793-806
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• 2010

In this paper we study meaning and methods of analyzing problems related with equation of high school mathematics. By analyzing problem we can get two types of informations. Based on these informations we suggest some problem solving methods. Especially we try to extract second type information using analysis through synthesis. This second type information can help us to find new non-routine problem solving method.

• Journal of Elementary Mathematics Education in Korea
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• v.13 no.2
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• pp.231-245
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• 2009

Almost every children are naturally non competitive, so they have test anxiety. Because grading in paper-pencil tests is related to competition with their friends. Intense competition should not be a part of the classroom environment. This study intends to reflect current standardized tests(summative evaluations) in an elementary school mathematics(2008) and reconstructed it's problem. Teachers should provide students with rich situational problem-solving opportunities. Therefore we conclude "summative evaluation are consisted of some large problem type which contain some subproblems, or from easy(simple) problem with relation to difficult problem)".

• School Mathematics
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• v.16 no.3
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• pp.543-565
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• 2014

The purpose of this study is investigating the various properties related with mathematical processes in the mathematical essay lessons, analyzing the positive changes of students, and proposing an example that the mathematical essay lessons can be a model for changing traditional mathematical lessons. To carry out the research, mathematical essay questions were developed based upon the high school mathematics curriculum in probability and statistics domain. Eight 12th graders were participated for the research. Variety of properties related mathematical problem solving, reasoning, and communication in the lessons were appeared. The research conclude that mathematical essays are helpful not only appearance of general properties related mathematics process, but also appearance of properties that would be low chance of developed.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.19-37
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• 2013

2009 revised national curriculum for mathematics emphasizes the mathematical processes which consist of mathematical problem solving, mathematical reasoning, and mathematical communication. This study focused on applying these processes to an elementary school class for mathematics. Even though they say that it is desirable that the mathematical processes are realized in every mathematics class, any vague intention for their application without specific plans is apt to be apart from meaningful practice. Therefore this study proposed a lesson plan about the characteristics and the comparison of bar graphs and line graphs for 4th grade students based on the mathematical processes. And we applied it to 27 subjects. By observing and analyzing their activities and communications, we discussed about the guidelines of applying the mathematical processes to elementary school classes for mathematics.

• Journal of Gifted/Talented Education
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• v.15 no.2
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• pp.35-57
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• 2005

As the results of studies based on the Russian Activities-Oriented Theory, the gifted students in many fields have common insights for the true nature of the problem, or the actual state. From Russian Activities-Oriented Theory of view, gifted students have the ability to discern the essential elements involved in each actual state and change of state of things, and to solve the problem, based on these elements. Enhancing these abilities of the students, the educator can develop the average student into a gifted one. This study result of the Russian specialist suggests the possibility of a stream of education that can develop gifted students. Hence, this paper discussed the points and processes of formation of the Russian Activities-Oriented Theory, and inquired on what is the true nature of the problem or the meaning of actual state and how it affects the studies of the student. The paper also investigated the actual conditions of wrong learning about some mathematical concepts and discussed the role of insights to the true nature of the problem in the learning process of the student.

• Journal of Educational Research in Mathematics
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• v.17 no.4
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• pp.381-393
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• 2007

The study focuses on what to consider and do for the improvement of math education of Korean Universities by comparing freshmen and seniors of department of math education in their beliefs in mathematics and math. education. The major comparing topics in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics, teaching methods of mathematics, and roles and qualifications of math. teachers. The results of the study show that junior students tend to be more positive in their beliefs, especially in math education area than that of mathematics, compared to the freshmen. It implies that how important the role of topics covered in math education during college years is for changing the future teachers' beliefs in math and math education more positively. The supposed influencing contents of the curriculum of math. education are composed of learning reflection method based on problem-based learning, understanding mathematics as originated from the real world, mathematical pedagogy, text analysis, practice in classroom, and understanding various concepts in math. education area.

• Korean Journal of Child Studies
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• v.29 no.1
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• pp.15-32
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• 2008

The logical and mathematical thinking of 1- to 3-year-olds was studied by age groups at 6 month intervals; logical-mathematical thinking was examined by the two physical knowledge activities of cylinder rolling and making a slope. Results showed that in their early 1st year infants failed in both tasks. Infants in their late 2nd year showed understanding of 'rolling things' and 'non-rolling things' by comparing cylinders and cubes in the cylinder rolling activity and they showed 'spatial inference' by adjusting the position and direction of the cylinder so that the cylinder could roll properly and by adjusting the board on a block in the slope making activity. Three-year-old children rolled a cylinder and made a slope without difficulty.

• Korean Journal of Child Studies
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• v.36 no.2
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• pp.75-94
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• 2015

The main purpose of this study was to examine the various aspects of logico-mathematical thinking and its development by observing a block building activity undertaken by infants and toddlers. The subjects comprised 73 young children from between the ages of 12- to 41-months-old. The interviewee was individually asked to build "something tall", making use of 20 blocks. The results of this study were, first, a regular increase by age is seen in congruence, the vertical use of flat blocks, and innovative ways of using triangular blocks. Second, many types of logico-mathematical thinking processes, such as classification, seriation, spatial relationship and temporal relationship, were shown during the block building activities on the part of the 12- to 41-months-olds who took part in this study.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.595-618
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• 2010

To grow as talents with future oriented knowledge and creativity, students need imaginative power and creativeness, and to that end, mathematics and science subjects may help. Students need activities that help gain explorative mind for new things, concentrating ability, researching ability and creativeness, and such attributes can be improved through the activities of making various shapes utilizing space geometry in 4D-frame. Such activities not only contribute to defining ability in mathematics but also cherish the qualifications required as architects and space scientists.

• Journal of Elementary Mathematics Education in Korea
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• v.2 no.1
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• pp.1-14
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• 1998

Nowadays there are presented various educational methods based on Constructivism which is regarded as newest epistemological paradigm about Knowledge and knowing, but none which is dramatically new. The educational methods proposed by the advocates of Constructivism are already put in practice by the teachers that are interested. Following this, we will interpret R. Skemp's theory about educational methods based on Constructivism. Here we will introduce various play activities for building number concepts.