• School Mathematics
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• v.19 no.1
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• pp.117-135
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• 2017

Even though patterns and correspondence serve a fundamental basis of function for elementary students, there has been lack of research in this field. This study explored prior studies to extract the key instructional elements on how to teach patterns and correspondence. This study then analyzed the unit of 'patterns and correspondence' in the mathematics textbooks in terms of four key instructional elements (i.e., relation to real-life contexts, diversity of pattern tasks, exploration for a correspondence relationship, and teaching variables). The results of this study showed that topics dealing with patterns and correspondence were represented with relation to real-life contexts but diversity of pattern tasks and exploration for a correspondence relationship were needed to be further considered in the textbooks. Another noticeable result was that teaching variables was not explicitly addressed in the textbooks. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with patterns and correspondence.

• School Mathematics
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• v.1 no.1
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• pp.187-216
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• 1999

The purpose of this study is to develop mathematics performance assessment items for the 8th graders and to analyze their performance ability. First, five-themes were selected : 'Calculator', 'Cut and Paste', 'Rule finding', 'Place Assignment', 'My thinking'. Then, the assistance of Mathematics education specialists and Teachers, 10 P. A. items consisting of two subtasks and their evaluation rubric were developed. Then, items were revised by the results of pilot test. And, final version of items were administrated to the 8th graders of three regions(Seoul, Chongiu, Chungp$\acute{y}$ong). Through analyzing the performance ability of the subjects assessment items, the following conclusion were obtained: They were very insufficient in the ability to find some patterns in the given problem situation and to describe logically the patterns in terms of mathematical terminology. It is believed because they were familiar with the objective test to take one or short answer.

• School Mathematics
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• v.4 no.4
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• pp.539-554
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• 2002

Mathematics is constructed by many signs, and learning mathematics involves the understanding and uses of them. This study reflects mathematical signs and their meanings, and considers how they can be introduced in learning. For these, we first investigated epistemological positions as Piaget, Vygotsky, anthropology, and interactionism. And we investigated semiotic models that Saussure and Peirce built each. Among these we adopted Peirce' triadic model that is consisted of interpretant, object (referent), and represen tamen(sign). In mathematic learning process, representations are transformed by translations and meanings are growed to the representation of another sign. And the meaning of sign grows by learner's interpretation. In terms of theoretical grounds, we settled that the understanding of mathematical signs involved the understanding of their representations and their meanings. On the foundation of above contents, we searched how we introduced signs to students and there were methods that approached to students representationally or inquiringly.

• Communications of Mathematical Education
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• v.35 no.1
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• pp.15-36
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• 2021

A well-designed mathematics lesson is the foundation for effective mathematics instruction. Given this significance, this paper focused on analyzing what would be important elements for in-service teachers in planning an elementary mathematics lesson. For this purpose, a total of 27 in-service teachers were asked to write down whatever they would consider important in designing a mathematics lesson. A mathematics lesson plan prepared by a pre-service teacher was provided for the in-service teachers. They were then asked to analyze the strengths of the lesson plan and to provide detailed feedback on how to improve it. The results of this study showed that the in-service teachers tended to analyze the given mathematics lesson plan in terms of what they considered important regarding lesson design. Such elements were specified when the in-service teachers described the strengths and feedback for improvement of the lesson plan. In particular, the aspects of instructional strategies and materials were explained in detail. Based on these results, this paper is expected to provoke discussions on lesson design of in-service teachers and subsequent research.

• School Mathematics
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• v.13 no.2
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• pp.287-305
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• 2011

The goal of this study is to investigate reform directions of mathematics activity book which was introduced according to 2007 revised curriculum through literature analysis of introducing process. Futhermore, this study is to suggest the meaningful developing direction of new activity book according to the mathematics curriculum which is being developed now. To do this, first, the background of introducing activity book, developing direction, construction systems and the way to use it was analyzed. Second, teachers' response to the activity book on the basis of literature analysis was researched. Third, measures to improve activity book were investigated. In conclusion, reform direction of mathematics activity book was proposed in terms of developing research, goal, way to go, construction systems and questions arrangement.

• School Mathematics
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• v.14 no.4
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• pp.431-443
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• 2012

The purpose of the research is to offering an implication about problem posing instruction for improving problem solving ability through 5th grade elementary school students' responses on problem posing. For the purpose a survey was implemented to 281 students at Busan urban area. There was a difference between the students' completeness in terms of problem posing types. They tended to make more simple problems linguistically rather than complicated problems and made problems for the equation easily. At first for the problem posing, students need to be taught to learn for making appropriate problems about an equation.

• Journal of Educational Research in Mathematics
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• v.26 no.2
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• pp.189-204
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• 2016

As compared with the gender differences in the achievement of mathematics of the PISA 2009, the results of this study on the PISA 2012 show that the achievement of male students sharply increased, while that of female students maintained the status quo. Based on the premise that this result is derived from the ratio differences between male and female students of high level, this study analyzed the educational context variable effects on the achievements of gender differences observed between male and female students of high level. In particular, this study inquired into the factors which influence the gender difference, by analyzing the identical variables regarding Singapore and Finland of which the achievement of female students registers high among other top high-ranking countries of the PISA 2012. Hence, the binominal logistic multi-level analysis was conducted in order to consider the characteristics of hierarchical structure of PISA, and to compare the features of the educational context variable effects between the high level (above level 5) by country and the highest level (above level 6) by group. The analysis results are as follows: in terms of after-school learning time realized either in private lessons and private institutes, no significant effects were shown in any of the students of these three countries. In terms of after-school homework time, the students of Korea and Singapore gave significant influences on the probability which would be included in the group of high level or the highest level. In particular, regarding the variables which influence the probability of inclusion of Korean female students in the group of high level or the highest level, they correspond to "Homework set by teacher", "Attitude toward school: learning activities", "ESCS of School" and "Teacher-student relations". And "Cultural possessions at home" gave main influences on the probability of inclusion of the female students of Korea, Singapore and Finland in the group of the highest level.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.563-581
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• 2009

In this study we review the representations used for emphasizing the significance and requirement of mathematics in Chinese and Korean mathematics text(算學書). Especially, we study four terms; first 六藝之一(육예지일, one of the six arts), second 伏義(복희, Fuxi) 周公(주공, Zhougong) 孔子(공자, Kongzi) 孔門(공문, Kongmen), third 道(도, dao) (색, ze) 微奧(미오, weiai) 精微(정미, jingwei), forth 經世之實用(경세지실용, usefulness in the real life). Through these representations that can be seen in the many mathematics text, we consider the author's efforts to improve the mathematics.

• Journal of the Korean School Mathematics Society
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• v.21 no.1
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• pp.19-37
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• 2018

In this study, the actual state of teaching seven extensive quantities (time, length, capacity, weight, area, angle measure, volume) of measurement domain are analyzed comparatively between the 2015 revised elementary school mathematics curriculum in Korea and the 2017 revised elementary school mathematics curriculum in Japan in terms of comparison in measurement, direct measurement, indirect measurement, and estimation in measurement. From the results of this comparative analysis, some implications for discussion on the development of the next elementary school mathematics textbook and the next elementary mathematics curriculum can be suggested. First, it is necessary to discuss on clarifying the range of handling of comparison, direct measurement, indirect measurement, estimation of seven extensive quantities respectively. Second, it is necessary to discuss on doing direct comparison when intuitive comparison is difficult. Third, it is necessary to discuss on reconsidering indirect comparison of weights. Fourth, it is necessary to discuss on reconsidering measurement using arbitrary units in case of angular measures. Fifth, it is necessary to discuss on dealing with estimating the area of $1cm^2$ and $1m^2$ and the volume of $1cm^3$ and $1m^3$ for the purpose to make rough guesses their size respectively.

• School Mathematics
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• v.14 no.2
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• pp.213-232
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• 2012

The purpose of this study was to examine and analyze the cognitive demand of the mathematical tasks suggested in the middle school textbooks. In particular, it aimed to reveal the overall picture of the level of cognitive demand of the mathematical tasks on function in the textbooks. We adopted the framework for mathematical task analysis suggested by Stein & Smith (1998) and analyzed the mathematical tasks accordingly. The findings from the analysis showed that 95 percent of the mathematical tasks were at low level and the rest at high level in terms of cognitive demand. Most of the mathematical tasks in the textbooks were algorithmic and focused on producing correct answers by using procedures. In particular, the high level tasks were presented at the end of each chapter or unit for wrap up rather than as key resources.