• Research in Mathematical Education
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• v.17 no.4
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• pp.221-241
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• 2013

The data for the present paper was a part of a large research project conducted to assess preservice teachers' knowledge related to fractions and place value at a southwestern public university in 2007. The study utilized convenience sampling, consisting of 150 elementary preservice teachers who were enrolled in a mathematics methods course before their student teaching. The results demonstrated preservice teachers' knowledge of teaching comparison, addition, subtraction, and multiplication of fractions was insufficient even though these should be basic knowledge. Teacher preparation programs should emphasize profound knowledge for teaching fractions using representations.

• Research in Mathematical Education
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• v.11 no.1
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• pp.1-31
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• 2007

Recent research has documented that there is a close relationship between problem posing and problem solving in arithmetic. However, most studies investigated the relationship between problem posing and problem solving only by means of standard problem situations. In order to overcome that shortcoming, a pilot study with Chinese fourth-graders was done to investigate this relationship using a non-standard, realistic problem situation. The results revealed a significant positive relationship between students' problem posing and solving abilities. Based on that pilot study, a more extensive and systematic ascertaining study was carried out to confirm the observed relationship between problem posing and problem solving among Chinese elementary school children. Results confirmed that there was indeed a close relationship between both skills.

• Journal of the Korean Data and Information Science Society
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• v.22 no.4
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• pp.643-650
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• 2011

Recently the needs for education on Statistics is growing bigger, but a mathematics-oriented education makes college students loose interest in Statistics. On the hypothesis that motivating interest is the key factor for learning, we need to develop an education tool for Statistics that makes learners to study independently but throughly. By using Excel Macro, we develop and introduce add-in program, called PETS, which supplies not only results but also process to get them.

• Research in Mathematical Education
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• v.1 no.2
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• pp.127-137
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• 1997

수세기는 초등 수학교육의 기초로서 보통 유치원 과정 이전부터 시작된다. 그러나, 서수와 기수의 구별된 사용의 중요성은 미국의 "학교 수학의 교과 과정과 평가 기준" (NCTM 1989)에서 뿐만 아니라 학교 교육의 현장에서도 많이 간과되고 있는 실정이다. 일반적으로 사용되는 수직선 (Number line)과 다르게 구조적으로 개발된 Hasse's structured number line을 사용하여 학생들에게 수세기의 의미와 기술을 가르친다면 구체적 경험을 통해 수학적 사고 능력을 키우고 개발하는데 도움이 된다. 만약 Hasse 의 9가지 수준에 따라 다양한 학습 활동을 개발하여 수업 계획을 세워서 학습을 진행한다면 수업은 역동적이며 매우 흥미로워 질 것이다. 학생들은 말로 나타내기(Verbalization)와 상상(Imagination)의 충분한 경험을 바탕으로 정신적 표현(Mental representation)을 개발하여 수세기 기초를 확립하고 나아가 연산을 쉽게 수행할 수 있을 것이다. 여기에 소개된 교구들과 학습 활동들은 초등 수학 교육이 암기 위주의 문답식이 아니며 얼마나 역동적이고 흥미로울 수 있나를 보여준다.

• Journal of Ecology and Environment
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• v.39 no.1
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• pp.91-97
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• 2016

This paper reports the species of macromycetes collected in Mongolia: all the species are new to the area. Brief notes on taxonomy, ecology and distribution of the species are added. A total of 30 species of macromycetes were registered, 1 belonging to the division Ascomycota and 29 to the division Basidiomycota. It has been registered that 30 species belong to 25 genera, 17 families and occur in the flora fungus of Mongolia, until now. Specimen for 150 of samples macromycetes collected from June to August, 2015 in Tuv, Arkhangai and Huvsgul were enveloped. Macromycetes have been occured in 9 of 16 geographic regions. According to our studies 2 species in Khubsgul region, 2 species in Khangai region, 3 species in Khingan, 3 species in Dornod Mongol, 1 species in Khentei regions newly registered respectively. As a result of this work, determined 7 species (23%) of macromycetes in forest steppe and steppe regions and 23 species (77%) of them in forest region. The trophic structure for the fungal species is as follows: 2 species lignophite (7%), 4 species moss saprophyte (13%), 5 species soil saprophyte (17%), 15 species mycorrhiz (50%) of all species were respectively.

• International Journal of Computer Science & Network Security
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• v.22 no.2
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• pp.394-398
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• 2022

The article determines that the study of the development of scientific and didactic knowledge about the educational process in higher education should be built mainly on the basis of qualitative research methods that ensure the identification and understanding of the changes taking place in didactic knowledge, in the unity of their internal and external manifestations. On the basis of the epistemological model of the study of science, a generalized model of didactic knowledge about the educational process in higher education, including didactic relations as a theoretical core, subject of research, research methods and positions of researchers, ways of interaction between science and educational practice, and thematic structures of didactic knowledge; scientific and methodological problems of didactic knowledge about the educational process in higher education at the present stage of its developments due to the post-nonclassical transformation and orientation of research towards the humanitarian ideal of scientific character.

• Korean Journal of Comparative Education
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• v.28 no.3
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• pp.333-354
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• 2018

The study aimed to compare and analyze Nuri curriculum and contents for mathematics in Korea and the Common Core State Standards(CCSS) and New Jersey Preschool Standards for mathematics in the United States. With the results as basis, this study intended to provide suggestions and directions for improving Nuri curriculum of mathematics for young children. For the goal of this study, educational goals, categories of contents, and specific contents were reviewed. First, results of this study indicated that Nuri curriculum for mathematics provides comprehensive educational goals that promote problem-solving ability in everyday contexts with composing mathematical knowledge. On the contrary, CCSS and Preschool Standards provide specific educational goals that focus on children's mathematical skills and concepts. Second, the contents of both countries' curriculum concentrate on 'counting and cardinality', 'measurement', and 'spatial and geometric sense.' There are 5 categories of CCSS, 4 categories of Preschool Standards based on CCSS and one category of Nuri curriculum for mathematics. Third, there are the differences between the two countries' curriculum in continuity from kindergarten to first grade and description method for curriculum.

• School Mathematics
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• v.8 no.4
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• pp.365-377
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• 2006

This article examines the Korean classroom teachers' perceptions about the 7th national mathematics curriculum for elementary school. Elementary classroom teachers were surveyed using the researcher-made questionnaire (Teacher Perception about Mathematics Curriculum) and 143 teachers completed the questionnaire. The data collected was analyzed by a descriptive analysis. The results revealed that about 67% teachers considered the curriculum was well developed in scope and sequence. However, 43% teachers reported that the teacher's manual should provide clearer explanation instructional strategies to teach the math topics to children. 38(26%) teachers claimed the curriculum contains too much content to teach. 34(24%) of the teachers indicated some contents were developmentally too difficult for their students to understand. The most serious difficulties for the teachers in teaching mathematics was to accommodate individual student's different mathematics abilities, especially accelerated by private lessons at the after school programs.

• The Pure and Applied Mathematics
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• v.27 no.4
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• pp.231-249
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• 2020

We present an efficient and robust finite difference method for a two-asset jump diffusion model, which is a partial integro-differential equation (PIDE). To speed up a computational time, we compute a matrix so that we can calculate the non-local integral term fast by a simple matrix-vector operation. In addition, we use bilinear interpolation to solve integral term of PIDE. We can obtain more stable value by using the payoff-consistent extrapolation. We provide numerical experiments to demonstrate a performance of the proposed numerical method. The numerical results show the robustness and accuracy of the proposed method.

• East Asian mathematical journal
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• v.36 no.4
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• pp.475-492
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• 2020

This study is to establish the items on class critiques based on the mathematical competencies according to the mathematics curriculum revised in 2015. Namely, this study deals with the items on how pre-service or in-service teachers understand and comment on mathematics instruction on their own instruction or peers' instruction. To accomplish this, first of all the draft items on instructional reviews was developed by researchers of this study on the basis of the previous study(Hwang, 2018). In order to revise and develop the draft items, the experimental study was executed. The experimental study was done by the subject of 11 groups who are undergraduate students in the educational college of C University. The subject was supposed to watch an in-service middle school mathematics teacher's excellent instruction(study) video and to comment the instruction video on the draft items on class critiques. While analyzing the comments of the subject, the revised items on the class critiques were to be develop. Based on this study, from now on, the final and ideal items on the class critiques would be establish to reflect and comment teachers' instruction.