• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.143-164
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• 2013

Despite the recent emphasis on mathematical communication, little practical guide has been provided for a teacher with what to do for orchestrating high-quality discussions in a mathematics classroom. This paper analyzed 20 elementary mathematics lessons which were recognized as effective instruction in Korea using an analytic framework with regard to 5 practices for orchestrating productive mathematics discussions (i.e., anticipating, monitoring, selecting, sequencing, & connecting) by Smith and Stein (2011) in terms of performance scales from Level 0 to 3. The results of this study showed that the most frequent levels were Level 1 including undesirable practices and Level 2 including insufficient practices. There were only one or two lessons per practice which were assessed as Level 3 of good performance. Specifically, Level 2 was the most frequent with regard to monitoring and selecting, whereas Level 1 was the most frequent as for the other practices. This paper provides some implications for co-ordinating productive mathematics discussions.

• School Mathematics
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• v.13 no.3
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• pp.485-500
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• 2011

The purpose of this study is to investigate how elementary mathematics teachers use and implement a reform-oriented mathematics curriculum material, Everyday Mathematics, and to examine what features the curriculum material has. Eight elementary mathematics teachers in the United States participated in the study. Data sources consist of teacher classroom observation write-ups, interviews, and the curriculum material. The results from the analysis of the curriculum material suggest that 80 percent of the tasks are at the high-level in terms of cognitive demand and 26 percent of tasks are identified as transparent. The results also show that the teachers appeared to adapt the curriculum material and partially take suggestions or activities out of the curriculum material in enacting them in their mathematics classrooms. The analysis of enacted tasks suggests that the levels of cognitive demand were shifted from high-level to low-level; 27 percent of the high-level tasks in the curriculum material were maintained at the high-level as enacted in the mathematics classrooms. The level of cognitive demand shifted in many cases; shifts from high-level to low-level occurred. This contributes to the curriculum material not being transparent to teachers.

• The Mathematical Education
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• v.39 no.1
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• pp.11-20
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• 2000

Compared with other subjects, mathematics has great differences in achievement. In hope of solving this problems, most schools the level-movement learning. Although they say it may have some effect because of its homogeneous group, the level groups still have differences in achievement in their students abilities. So, this study aims to present an appropriate tasks for the advanced intermediate and beginner groups and to help self-directed learning by selecting an appropriate tasks for the students' own level. To achieve thiese goals, a great deal of level tasks were developed and given to the students. After lettins them an select appropriate tasks for their own level and perform self-directed teaming, the tasks were measured carefully for their interest attitude and achievement in learning. Consequently, we tried a new method to improve uniformity and to turn teacher-centered learning into student-centered teaming. The following is the conclusion to this study. First self-directed teaming based on the selection of level tasks has meaningful effects on learning achievement in mathematics, especially for the beginner group. Second though the above method did not improve an interest for mathematics, but was very effective in the improvement of learning attitudes.

• Journal of applied mathematics & informatics
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• v.26 no.3_4
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• pp.615-625
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• 2008

A single item order level inventory model for perishable products is considered in which a constant fraction of on hand inventory spoils per unit time. Demand linearly depends on time. The fluctuation of demand is taken into account to determine minimum total cost of the system. Both discrete and continuous fluctuations are considered. The model is developed and solved analytically for infinite time horizon. A numerical example is presented for finite time horizon. Sensitivity analysis of the model is carried out.

• Journal of Elementary Mathematics Education in Korea
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• v.13 no.1
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• pp.31-49
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• 2009

Utilizing the mathematical materials in elementary mathematics education is known to increase the learners' creativity and interests for mathematics. Although the effects of mathematical materials have been frequently researched, a practical plan and a process to utilize the mathematical materials has been rarely researched. The dependence on the mathematical materials is tested by the students' responses to the mathematical problems in the class that allowed to use mathematical materials. The activities in the text book are reorganized to seven chapters for utilizing the mathematical materials. The dependence on the mathematical materials when solving the mathematical problems is investigated by the textbook, students' answers, and handouts. The conclusions of this study are: First of all, the activities using mathematical materials are reorganized within the mathematics education curriculum. The high interests are also investigated in all the learning level of learners. Second, the learners in the high learning level use the mathematical materials for their needs and the correction of their mistakes. The dependence on mathematical materials is lowest compared to the other level learners. Third, the learners in the mid learning level also use the mathematical materials for their needs and their mistakes, but are often confused when utilizing the materials. Fourth, the learners in the low learning level show their interests, and enthusiasm in the mathematical materials themselves. Their interests help to solve mathematical problems. The dependence on the materials is higher than the other level learners, but the dependence is not shown only for the low level learners.

• Journal of the Korean School Mathematics Society
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• v.14 no.4
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• pp.459-476
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• 2011

In this study, as a teaching way of classes by achievement level, low level students have taken five-minute tests that could be efficient in remedial feedback, and we have investigated the students' improvements of their assessment in mathematics through each of the unit tests. The results show that the five-minute tests with low level classes helped them develop mathematics problem-solving skills and also form positive attitudes about mathematics. More studies of the various methods must be done so that low level students can develop their abilities to solve mathematical problems skillfully.

• Journal of applied mathematics & informatics
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• v.25 no.1_2
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• pp.513-518
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• 2007

There is a one to one correspondence between Artinian algebras $k[x_1,...,x_n]/Ann(M)$ and finitely generated $k[x_1,...,x_n]-submodules$ M of $k[y_1,...,y_n]$ by Inverse System. In particular, any Artinian level algebra $k[x_1,...,x_n]/Ann(M)$ can be obtained when M is finitely generated by only maximal degree generators. We prove that H = (1, 4, 8, 13,..., 27, 8, 2) is not a level Artinian O-sequence using this inverse system.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.251-266
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• 2015

The statement, 'Taking more mathematics would result a better mathematics teacher.' sounds plausible. However, it is questionable that how much of taking university level of mathematics such as abstract algebra and real analysis would affect to teach elementary mathematics well. Would a mathematician be a better teacher for elementary students to teach mathematics than who has been prepared to teach elementary mathematics? This paper reports the effects of opportunities to learn tertiary level mathematics and school level mathematics on pre-service primary school teachers' mathematics pedagogical content knowledge. The study analyzed Teacher Education and Development Study in Mathematics 2008 (TEDS-M 2008) database using multiple regression. Prospective primary teachers who have been prepared as generalist were the focus of the study. The results support future elementary teachers might need to have opportunities to revisit school mathematics they are going to teach.

• East Asian mathematical journal
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• v.39 no.2
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• pp.199-227
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• 2023

The Korean government initiated an educational policy regulating academic acceleration in schools (e.g., regulating teaching or assessing above-grade-level content) in order to normalize public education and prevent the growth of private tutoring. To analyze whether the policy is achieving its intended goals, this study examined how high school mathematics teachers responded to the policy. The findings indicate four distinct teacher responses: the teachers would teach above-grade-level lessons in classes, but not assess them on a test; the teachers sought academic acceleration to prevent excessive private tutoring, although the policymakers thought that teachers' academic acceleration results in an excessive demand for private tutoring; the teachers were willing to teach above-grade-level content for students, but they were reluctant to teach below-grade-level content due to the time constraints; and the teachers recognized that the policy limited their curricular autonomy, even though it was intended to ensure their autonomy. Implications for mathematics teacher educators and policymakers are discussed.

• East Asian mathematical journal
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• v.35 no.4
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• pp.451-465
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• 2019

Textbooks are official materials so that these are the most frequently used teaching materials in school. The teacher constructs the lesson based on the contents of the textbook to achieve the learning goal. Thus, textbooks play an important role because the quality of the contents in textbooks affects the cognitive level of students. This study investigates the cognitive domain based on Bloom's Taxonomy of Educational Objectives(knowledge, understanding, application, analysis, synthesis and evaluation) of 'Values and Expression' in the mathematics textbook of the first grade of middle school reflecting the 2015 revised mathematics curriculum. We also looked at cognitive levels based on Bloom's Taxonomy of Educational Objectives. As a result, it was found that understanding was dominant in 'Values and Expression'. Also, although the problem of requiring a higher level of cognition is increasing as the unit finishes, there are still a high percentage of low level of problems.