• Title/Summary/Keyword: Learning mathematics

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A method using artificial neural networks to morphologically assess mouse blastocyst quality

  • Matos, Felipe Delestro;Rocha, Jose Celso;Nogueira, Marcelo Fabio Gouveia
    • Journal of Animal Science and Technology
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    • v.56 no.4
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    • pp.15.1-15.10
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    • 2014
  • Background: Morphologically classifying embryos is important for numerous laboratory techniques, which range from basic methods to methods for assisted reproduction. However, the standard method currently used for classification is subjective and depends on an embryologist's prior training. Thus, our work was aimed at developing software to classify morphological quality for blastocysts based on digital images. Methods: The developed methodology is suitable for the assistance of the embryologist on the task of analyzing blastocysts. The software uses artificial neural network techniques as a machine learning technique. These networks analyze both visual variables extracted from an image and biological features for an embryo. Results: After the training process the final accuracy of the system using this method was 95%. To aid the end-users in operating this system, we developed a graphical user interface that can be used to produce a quality assessment based on a previously trained artificial neural network. Conclusions: This process has a high potential for applicability because it can be adapted to additional species with greater economic appeal (human beings and cattle). Based on an objective assessment (without personal bias from the embryologist) and with high reproducibility between samples or different clinics and laboratories, this method will facilitate such classification in the future as an alternative practice for assessing embryo morphologies.

The Function of Meta-affect in Mathematical Problem Solving (수학 문제해결에서 메타정의의 기능)

  • Do, Joowon;Paik, Suckyoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.4
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    • pp.563-581
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    • 2016
  • Studies on meta-affect in problem solving tried to build similar structures among affective elements as the structure of cognition and meta-cognition. But it's still need to be more systematic as meta-cognition. This study defines meta-affect as the connection of cognitive elements and affective elements which always include at least one affective element. We logically categorized types of meta-affect in problem solving, and then observed and analyzed the real cases for each type of meta-affect based on the logical categories. We found the operating mechanism of meta-affect in mathematical problem solving. In particular, we found the characteristics of meta function which operates in the process of problem solving. Finally, this study contributes in efficient analysis of meta-affect in problem solving and educational implications of meta-affect in teaching and learning in problem solving.

Efficient Teaching Method for the Underachieving Students through Level Differentiated Classes (수학 기초학력 미달자의 수준별 수업에서 효율적인 지도 방법)

  • Shin, Joonkook;Yun, Sang-In;Kim, Yang-Hee
    • Communications of Mathematical Education
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    • v.28 no.1
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    • pp.81-96
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    • 2014
  • Now, most of programs developed were presented as form of item pool by dividing problems by section and level for the level differentiated course, so the utilization is decreasing at the field caused by unconsidered school underachievement elements by achievement. Especially, the study on teaching materials and effective measures map for mid-low level students with low utilization is more urgent. Therefore, in this study we will promote teaching method for improving learning achievement at high school. The development teaching materials(the performance evaluation and diagnostic assessment, reconstruction of textbooks) will be applied to classes for the underachieving students directly, and the achievement in the experimental class was significantly improved compared to the comparative class and the meaningful conclusions could be drawn as results of conducting same assessment based on the experimental class and the comparative class.

An Analysis on the Problem Solving of Korean and American 3rd Grade Students in the Addition and Subtraction with Natural Numbers (한국과 미국 초등학교 3학년 학생들의 자연수 덧셈과 뺄셈 문제해결 분석)

  • Lee, Dae Hyun
    • Education of Primary School Mathematics
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    • v.19 no.3
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    • pp.177-191
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    • 2016
  • Students can calculate the addition and subtraction problem using informal knowledge before receiving the formal instruction. Recently, the value that a computation lesson focus on the understanding and developing the various strategies is highlighted by curriculum developers as well as in reports. Ideally, a educational setting and classroom culture reflected students' learning and problem solving strategies. So, this paper analyzed the similarity and difference with respect to the numeric sentence and word problem in the addition and subtraction. The subjects for the study were 100 third-grade Korean students and 68 third-grade American students. Researcher developed the questionnaire in the addition and subtraction and used it for the survey. The following results have been drawn from this study. The computational ability of Korean students was higher than that of American students in both the numeric sentence and word problem. And it was revealed the differences of the strategies which were used problem solving process. Korean students tended to use algorithms and numbers' characters and relations, but American students tended to use the drawings and algorithms with drawings.

A comparative study on the assessment results and achievement levels of gifted students in mathematics (영재교육원 수학과 평가결과와 영재아들의 성취수준 비교 연구)

  • Kang, Yun-Soo;Cho, Byung-Chan
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.347-360
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    • 2007
  • In this study, we made the analysis of the relation with mathematical tests and scholastic attainments of gifted students using the results of entrance end comprehensives exams and so on in science education center for gifted youths. For this, we firstly made an analysis of correlation between math and math, math and science and science and science using the test results. And then, we interviewed four students. From this, we found followings. First, in every assessment except for those carried out during the semester in the center, we saw a very low or negative correlation between the students' grades in math and that in science. Second, in contrast to the correlations among other assessments, a high correlation of the students' grades in math and science appeared in regard of the assessments carried out during the semester in the center. Third, correlations between the grades of assessments in mathematics were much lower than that in science. Fourth, many students thought the assessments in the center were not as valuable as those in their schools, which are referred to in getting into a school of high grade. So some of the students who gained excellent grades showed a relatively low achievement. Fifth, students in the center regarded a vigorous communication and inquiry learning on enriched themes as the biggest merit of attending the center.

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Teaching Strategies for Developing Problem Solving Abilities (문제해결력 신장을 위한 전략 지도 방안)

  • Nam Seung In
    • Journal of Elementary Mathematics Education in Korea
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    • v.1 no.1
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    • pp.67-86
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    • 1997
  • The purposes of this paper are to show problem-solving strategies and their typical problems to suggest specific ways to teach strategies to promote problem-solving abilities. (1) Problem-solving strategies can be divided into general strategies and specific strategies. General strategies refer to procedural teaching-learning activities based on Polya's 4 step problem-solving. Specific strategies refer to Lenchner's 12 problem solving strategies and their characteristics which are helpful to the substantial solution of specific problems. (2) Concerning to problem-solving strategies teaching, the followings are suggested. First, the sequence of strategy teaching should be from easy to difficult ones, from short to long ones. Second problems for strategy training should be simple and good enough to serve as examples of the strategies. Repetition with similar problems are needed. Third, analysis and comparison of various strategies, and extension and adaptation of the strategies to complicate problems are needed. Fourth, procedures of strategies teaching are the follows: Have students make their own strategies focused on the solution process; Have students solve the problems with expectation of the solving methods; Have students compare and reflect on their solving methods; And assess problem - solving processes.

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Word Problem with Figures Solving Ability and Error of Boys and Girls - with middle school 3rd grade students - (남녀학생들의 도형 문장제 해결 오류 및 해결력에 대한 비교 분석 - 중학교 3학년 대상으로 -)

  • Oh, Jeong-Yoon;Ro, Young-Soon
    • Journal of the Korean School Mathematics Society
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    • v.10 no.3
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    • pp.353-367
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    • 2007
  • The purpose of this study was to examine what errors students made in solving word problems with figures and to compare the problem-solving abilities of boys and girls for each type of word problems with figures. It's basically meant to provide information on effective teaching-learning methods about world problems with figures that were given the greatest weight among different sorts of word problems. The findings of the study were as fellows: First, there was no difference between the boys and girls in the types of error they made. Both groups made the most errors due to a poor understanding of sentences, and they made the least errors of making the wrong expression. And the students who gave no answers outnumbered those who made errors. Second, as for problem-solving ability, the boys outperformed the girls in problem solving except variable problems. There was the greatest gap between the two in solving combining problems. Third, they made the average or higher achievement in solving the types of problems that were included much in the textbooks, and made the least achievement in relation to the types of problems that were handled least often in the textbooks.

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A Study on Student's Processes of Problem Solving Using Open-ended Geometric Problems in the Middle School (중학교 기하단원의 개방형문제에서 학생의 문제해결과정의 사고 특성에 관한 연구)

  • ChoiKoh, Sang-Sook;Noh, Ji-Yeon
    • Journal of the Korean School Mathematics Society
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    • v.10 no.3
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    • pp.303-322
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    • 2007
  • This study is to investigate student's processes of problem solving using open-ended Geometric problems to understand student's thinking and behavior. One 8th grader participated in performing her learning in 5 lessons for June in 2006. The result of the study was documented according to Polya's four problem solving stages as follows: First, the student tended to neglect the stage of "understanding" a problem in the beginning. However, the student was observed to make it simplify and relate to what she had teamed previously Second, "devising a plan" was not simply done. She attempted to solve the open-ended problems with more various ways and became to have the metacognitive knowledge, leading her to think back and correct her errors of solving a problem. Third, in process of "carrying out" the plan she controled her solving a problem to become a better solver based on failure of solving a problem. Fourth, she recognized the necessity of "looking back" stage through the open ended problems which led her to apply and generalize mathematical problems to the real life. In conclusion, it was found that the student enjoyed her solving with enthusiasm, building mathematical belief systems with challenging spirit and developing mathematical power.

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A Study on the Relativity of Mathematical Anxiety Depending on the Types of Students' Characteristics (성격유형에 따른 수학불안 관련성 연구)

  • Ko, Ho-Kyoung;Park, Sang-Heui
    • Journal of the Korean School Mathematics Society
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    • v.10 no.3
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    • pp.369-384
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    • 2007
  • This study examined and compared the level of mathematical anxiety according to the types of students' characteristics based on the former research study showing that there exists a close relationship between characteristics and mathematical anxiety. The subjects of this study are 159 students enrolled in Chungnam Gongju and Kyunggi-do Ahnyang. They were categorized into groups following various standards such as preference index(E-1, S-N, T-F, J-P), ability & disposition, 16 types of characteristics. Then these were tested for types and the level of mathematical anxiety by the factors of mathematical anxiety. The results show that Type E students show the greatest anxiety in learning motivation, and Type N students in the pedagogy of teaching and loaming for the subfactor of mathematical anxiety. Further, Type NT students respond strongly to the pedagogy of teaching and loaming in psychological ability and disposition, which shows that mathematical anxiety and sub-factors of mathematical anxiety are closely somehow related.

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Analysis on Teacher's Discourse in Math Gifted Class in Elementary Schools Using Flanders Interaction Analysis Program (Flanders 언어상호작용분석 프로그램을 이용한 초등수학영재 수업에서의 교사 발언 사례 분석)

  • Kim, Mi-Hwan;Song, Sang-Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.2
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    • pp.385-415
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    • 2011
  • To investigate the more effective mathematical communication process, a recommended teacher and a selected class as an exemplary model was analyzed with Flanders system. The mathematical communicative level was examined to measure content level using the framework analysing the mathematical communicative level(Park & Pang) based on describing levels of math-talk learning community(Hufferd-Ackles). The purposes of this paper are to describe the verbal flow pattern between teacher and students in the elementary school class for mathematically gifted students, and to propose the effective communication model of math-talk with analysis of verbal teaching behavior in the active class. In addition the whole and the parts of the exemplary class sample is respectively analysed to be used practically by elementary school teachers. The results show the active communication process with higher level presents a pattern 'Ask Question${\rightarrow}$Activity (Silence, Confusion or work)${\rightarrow}$Student-Initiated Talk${\rightarrow}$Activity (Silence, Confusion or work), and the teacher's verbal behavior promoting math communication actively is exhibited by indirect influence especially accepting or using ideas.

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