• Journal of Families and Better Life
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• v.31 no.5
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• pp.97-108
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• 2013

The purpose of this study was to investigate what variables have a significant effect on child care center teachers' mathematics teaching efficacy among teachers' individual variables, mathematics activity variables, and teachers' awareness variables, and also whether these results are different for teachers of 0 to 2-year-olds when compared to teachers of 3 to 5-year-olds. The subjects consisted of 438 teachers from child care centers located in D city and K province of Korea. The results of this study were as follows: First, mathematics activity variables had a significant effect on the mathematics teaching efficacy of both teacher groups. Second, teachers' awareness of the environment of mathematics education had a significant influence on the mathematics teaching efficacy of both teacher groups, and for teachers of 0 to 2-year-olds, that influence was the greatest among all of the variables. Third, teachers' awareness of the purpose of mathematics education had a significant effect on the mathematics teaching efficacy of only teachers of 0 to 2-year-olds. Lastly. teachers' awareness of the mathematics education curriculum had a significant influence on the mathematics teaching efficacy of only teachers of 3 to 5-year-olds, and that influence was the greatest. These results were discussed in terms of different types of support for each teacher group to improve the quality of mathematics education.

• Journal of Elementary Mathematics Education in Korea
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• v.6 no.1
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• pp.41-58
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• 2002

This study examines effects of small group cooperative learning on areas of mathematics such as number and calculation, figure, and measurement, and changes of attitude-interest in math in elementary schools. Seventy eight second graders from Jinhae City were divided into the experimental group and the control group. The experimental group was subdivided into small groups of four students who belonged in different levels of math performance. The subdivision was renewed whenever each area was covered. An examination paper which had been developed by Ministry of Education & Human Resources Development and Kyeongsangnamdo Office of Education was given to the subjects. Also, a questionnaire was developed and given to the participants. The results show that, in general, the small group cooperative learning had good effects on the students' ability to solve math problems and, in articular, greater effects on the ability of low-level students. It is revealed that the interaction between the students in small groups affected their attitudes toward and interest in mathematics in a positive way, but did not make perceivable changes in self-confidence of the young Learners.

• School Mathematics
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• v.13 no.4
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• pp.581-598
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• 2011

Given the growing agreement that algebra should be taught in the early stage of the curriculum, considerable studies have been conducted with regard to early algebra in the elementary school. However, there has been lack of research on how to organize mathematic lessons to develop of algebraic reasoning ability of the elementary school students. This research attempted to gain specific and practical information on effective algebraic teaching and learning in the elementary school. An exploratory qualitative case study was conducted to the fourth graders. This paper focused on the associative law of the multiplication. This paper showed what kinds of activities a teacher may organize following three steps: (a) focus on the properties of numbers and operations in specific situations, (b) discovery of the properties of numbers and operations with many examples, and (c) generalization of the properties of numbers and operations in arbitrary situations. Given the steps, this paper included an analysis on how the students developed their algebraic reasoning. This study provides implications on the important factors that lead to the development of algebraic reasoning ability for elementary students.

• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.307-319
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• 2009

Current school mathematics introduces addition/subtraction between natural numbers, fractions, decimal fractions, and square roots, step-by-step in order. It seems that, however, school mathematics focuses too much on learning the calculation method of addition/subtraction between each stages of numbers, to lead most of students to understand the coherent principle, lying in addition/subtraction algorithm between real numbers in all. This paper raises questions on this problematic approach of current school mathematics, in learning addition/subtraction. This paper intends to clarify the fact that, if we recognize addition/subtraction between numbers from the viewpoint of 'measuring' and 'common measure', as Dewey did when he argued that the psychological origin of the concept of number was measuring, then we could find some common principles of addition/subtraction operation, beyond the superficial differences among algorithms of addition/subtraction between each stages of numbers. At the end, this paper suggests the necessity of improving the methods of learning addition/subtraction in current school mathematics.

• Journal of the Korean School Mathematics Society
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• v.8 no.2
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• pp.183-201
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• 2005

Illustrations and letters are two components of school textbooks. In the case of low grades of elementary school, textbook's illustrations play an important role in learning because many parts of curriculums(lessons) are represented by the visual forms through illustrations. So elementary mathematics textbook's illustrations have to make clear mathematical concepts and principles by visual simplification and bring out of the interest and motivation of elementary school students' learning. In this paper, we analysed the external and content aspects of textbook's illustrations, focusing on the textbook of the second grade. We investigated number, kindness, size, ratio, and clearness of illustrations in regard to external aspects. On the aspects of content, we analysed the role of illustrations and the degree of agreement with contents. Also we classified types of error in the textbook's illustrations and presented examples of errors which was found.

• Communications of Mathematical Education
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• v.29 no.1
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• pp.91-110
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• 2015

The purpose of this study is to investigate the understanding of pi of elementary gifted students and explore improvement direction of teaching pi. The results of this study are as follows. First, students understood insufficiently the property of approximation, constancy and infinity of pi from the fixation on 'pi = 3.14'. They mixed pi up with the approximation of pi as well. Second, they had a inclination to understand pi as algebraic formula, circumference by diameter. Third, few students understood the property of constancy and infinity of pi deeply. Lastly, the discussion activity provided the chance of finding the idea of the property of approximation of pi. In conclusion, we proposed several methods which improve the teaching of pi at elementary school.

• Journal of Educational Research in Mathematics
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• v.18 no.1
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• pp.63-80
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• 2008

In this paper, we suggested generally some samples and cases of portfolio but centered on elementary mathematics in New Zealand elementary school in the aspects of the assessment for learning activity of learner and so we have found some suggestive points by comparing New Zealand portfolio with ours. Finally, we have an objects that the teachers here in Korea can use these results as a cases which are benchmarked by them. We had known through this paper that portfolio assessment in New Zealand elementary school deals with various aspects and it was accessing in the direction of creating knowledge positively through the real life, not textbookish or artificial problem and also it had a characteristics dealing with real life situation or context without filtering. Especially, it always dealt with all regions of curriculum and looked like focusing on the connections of curriculum relatively.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.351-367
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• 2019

Slope is an important mathematical concept that is connected to advanced mathematics as well as a basic concept as an indicator of the steepness of a straight line. The purpose of this study is to see how the concept of slope is presented in mathematics textbooks of middle school. For this study, we analyzed the types of slope concepts in the textbooks. In particular, we analyzed motivation activity, definition, examples of slope in them and used a concept framework of slope by Stump(1999, 2001), Moore-Russo, Connor & Rugg (2011). As a result, it was shown that middle school mathematics textbooks use the types of slope concepts to be biased when explaining the slope or presenting the slope problems. In addition, the real contexts of slope is poorly presented, and the concept types change from visual aspect to analytical aspect in the processes. This study provides suggestions on how to present the slope concepts in mathematics curriculum and middle school textbooks.

• Journal of Digital Convergence
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• v.16 no.7
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• pp.213-222
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• 2018

The purpose of the study is to promote the expansion of educational environment and students' competence through the application of smart learning. In G University in 2017, 118 freshmen in the department of Chemical-bio engineering who were taking Calculus I class were divided into 2 groups of experimental and control group. The study analyzed the effect of the various learning experience using educational technology and the interaction in the class through SNS on students' visual understanding and academic achievement. The result shows that the students' academic achievement and satisfaction in the experimental group were higher than those in the control group. This verifies the potential of smart learning in the field of mathematics in the tertiary level and suggests strategies for high quality smart learning.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.3
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• pp.539-555
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• 2014

In this study, an implication has been drawn for the textbook development and teaching and learning process as a congruence of a figure is compared and analyzed between Korean elementary mathematics textbooks and American elementary math textbooks. Based on the result of comparison and analysis in congruence contents between Korean and EM textbooks, some applications for the development of figure and congruence chapters in Korean textbooks are as below. First of all, in term of congruence, activities related to congruence need to be introduced after the concept of congruence is defined either with illustrations of fundamental figures such as a segment and angle or with examples of polygon. Second, it is required to assist students to realize that compasses can be used to copy length. In Korean textbooks, compasses are being introduced as a tool to draw circles, which causes children to have difficulty in drawing triangles. Last, for the implication of congruence, tessellation suggested in American Everyday Mathematics textbooks is worth being applied to the development of Korean textbooks.