• The Mathematical Education
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• v.42 no.4
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• pp.465-480
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• 2003

The main purpose of this work is to propose programs of mathematics education and mathematics history courses for the department of mathematics education of teacher training universities. Foundation of Mathematics Education, Mathematics Teaching and Learning Theories, Mathematics Problem Solving, Analysis and Evaluation of Mathematics Teaching Materials and Mathematics History are discussed in this article.

• The Korean Journal of Applied Statistics
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• v.35 no.1
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• pp.105-117
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• 2022

Recently, the number of students taking basic statistics in liberal arts courses at universities nationwide has been increasing significantly. Students who learn statistics only for one semester are more likely to live as consumers than producers of statistical analysis in the future. What consumers need is statistical literacy and thinking skills rather than statistical methods. This paper deals with what points should be considered in order to develop textbooks that improve statistical thinking.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.253-270
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• 2007

by A.C. Clairaut was written based on the historico-genetic principle such as his . In this paper, by analyzing his we can induce six principles that Clairaut adopted to teach algebra: necessity and curiosity as a motive of studying algebra, harmony of discovery and proof, complementarity of generalization and specialization, connection of knowledge to be learned with already known facts, semantic approaches to procedural knowledge of mathematics, reversible approach. These can be considered as strategies for teaching algebra accorded with beginner's mind. Some of them correspond with characteristics of , but the others are unique in the domain of algebra. And by comparing Clairaut's approaches with school algebra, we discuss about some mathematical subjects: setting equations in relation to problem situations, operations and signs of letters, rule of signs in multiplication, solving quadratic equations, and general relationship between roots and coefficients of equations.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.431-448
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• 2015

This study is conducted to understand the real shape of confusion surrounding mathematical terminologies, 'ratio' and 'rate' in both the US and Korea and to get some implications for Korean education. For this, various materials including textbooks and materials for kids and teachers, dictionaries, educational internet web sites, the past Korean elementary mathematics curriculums and etc are reviewed with respect to the terminologies related to 'ratio' and 'rate'. As a result, the findings are as follows. Firstly, the US and Korea have different views with ratio and rate. Secondly, Korean terminologies related to ratio and rate are not enough to treat the essentials of the concept of ratio and rate.

• Journal of Educational Research in Mathematics
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• v.10 no.1
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• pp.115-137
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• 2000

In this paper, we tried to analyze 7 textbooks for liberal mathematics in elementary teacher's colleges in Korea and 3 foreign textbooks (2 American textbooks and 1 Japan textbook) which are believed to be used for pre-service education. We tried also to analyze in 3 lesson plans in homepages of Japan teacher's colleges. Next we tried to grope for syllabus of Mathematics for Elementary Teachers, and we suggested one syllabus. But we think that syllabus as a tentative one. So, it must be criticized by other researchers to be better one.

• Education of Primary School Mathematics
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• v.21 no.4
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• pp.445-459
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• 2018

The purpose of this study is to provide a method to help elementary school students learn ratio-related concepts effectively through visual representations. This study was conducted to identify the differences in the composition of ratio-related concepts between Korean and Singaporean textbooks, reconstruct a unit of proportional expressions and distributions by using visual representations and confirm the differences in performance between an experimental and a comparison group of 6th grade students. While the experimental group mathematics lessons is from the reconstructed textbook, the comparison group lessons is from an existing textbook that does not include any reconstructive representations. A t-test of mean was applied to determine the differences between the experimental and comparison group. Analysis revealed significant differences in the mean between the experimental group and the comparison group, and the intermediate level group showed more improvement compared to the higher and lower level groups. An implication of this study is that the application of visual representations can assist students' understanding of ratio-related concepts.

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.233-249
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• 2005

This study discusses on the historico-genetic instruction on fraction. The textbooks of the current curriculum include the variety of contexts of fraction to be intended to connect with the conception of ratio in the grade 6. However mary elementary students have understanding limited to whole-part relation only. This study propose a method on the basis of the process of measurement by an absolute unit. The idea is related to The genesis of fraction in Egypt.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.803-822
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• 2009

Creativity is emerging as one of the key components in every areas. In mathematics education, creativity or mathematical creativity is emphasized even though the definition of the term is inconsistence among every research. The purpose of this research was to identify the nature of mathematical creativity and provide the ways of strengthening it in the mathematics classroom. For this, students' mathematical strategies and problems in the elementary mathematics textbook were analyzed. The results showed that mathematically gifted students used a limited strategies and the problems in the textbooks were too simple to stimulate students' mathematical creativity. For the enhancement of students' mathematical creativity, we need to develop mathematically rich tasks and refine teacher education programs.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.3
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• pp.479-498
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• 2016

Time is important in children's lives since their preschool years. However, previous studies indicate that many children struggle with the acquisition of time concepts. Also teachers do not know how to help them. This study aims to investigate elementary school students' understanding about time and induce its educational implications. To do this, about 130 children from first to fifth grades were tested for their ability to recognize(read and record) the analogue and digital times and to solve elapsed-time problems. The results showed that even first graders were able to read and record the minute times on digital clocks. And second graders were able to read and record the minute times on analogue clocks. Therefore, the ability to recognize analogue times was mastered by second grade. In case of the elapsed-time problems, there was statistically significant difference according to school years or types of problems. Students were successful in solving simple problems. However, the problems that include regrouping hour and minute remained difficult even for the older children. Based on these results, we made a few suggestions for teaching practice about time.