• Education of Primary School Mathematics
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• v.18 no.1
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• pp.45-59
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• 2015

This study focused on the classification of triangles by angles in elementary school mathematics. We examined Korean national mathematics curriculum from the past to the present. We also examined foreign textbooks and the Euclid's . As a result, it showed that the classification is not indispensable from the mathematical and the perceptual viewpoint. It is rather useful for students to know the names of triangles when studying upper level mathematics in middle and high schools. This study also suggested that the classification be introduced in elementary school mathematics in the context of reasoning and inquiring as shown foreign textbooks, and example topics for the reasoning and inquiring.

• School Mathematics
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• v.9 no.2
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• pp.223-240
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• 2007

The purpose of this study was to investigate the degree to which the middle school mathematics curriculum matched the item difficulty levels of representative mathematics items. The items used in this study were developed for the National Assessment of Educational Achievement. Ranks for difficulty values of the 60 multiple-choice item were calculated via both Classical Test Theory and Item Response Theory and correlated with the rank order of the mathematics content and cognitive domains sequence. There are six content domains; number and operation, algebra, measurement, figure, pattern and function, and probability and statistics. The cognitive domains include computation, understanding, reasoning and problem-solving. Results suggest a congruence between cognitive domain's sequence and item difficulty levels of items based on that sequence. This finding indicates that the linear or hierarchical assumptions concerning the sequence appears to be reasonable. The characteristics of items that were exceptions to this trend were addressed.

• 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.

• Journal of the Korean School Mathematics Society
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• v.8 no.1
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• pp.101-116
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• 2005

The purpose of this study is to survey mathematics teacher's cognition of proof along with their proof forms of expression and proof ability, and to explore the relationship between their proof scheme and teaching practice. This study shows that mathematics teachers tend to regard proof as a deduction from assumption to conclusion and that they prefer formal proof with mathematical symbols. Mathematics teachers also recognize that prof is an important area in school mathematics but they reveal poor understanding of teaching methods of proof. Teachers tend to depend on the proof style employed in mathematics textbooks. This study demonstrates that a proof scheme is a major factor of determining the teaching method of proof.

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.363-370
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• 2005

In this paper, we obtain a new fixed point theorem in complete probabilistic ${\Delta}$-inner product space. As an example of applications, we utilize the results of this paper to study the existence and uniqueness of solutions for linear Valterra integral equation.

• The Mathematical Education
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• v.46 no.1 s.116
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• pp.69-79
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• 2007

Students experience many problem solving activities in school mathematics. These activities have focused on finding the solution whose existence was known, and then again conjecture about existence of solution or posing of problems has been neglected. It needs to put more emphasis on conjecture and problem posing activities in school mathematics. To do this, a model and examples of designing mathematical activities centered on conjecture and problem posing are needed. In this article, we introduce some examples of designing such activities (from the pythagorean theorem, the determination condition of triangle, and existing solved-problems in textbook) and examine suggestions for mathematics education. Our examples can be used as instructional materials for mathematically able students at middle school.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.465-484
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• 2020

The purpose of this study was to prove the effect of Mathematics field experience trip program on students' attitude in learning Mathematics. For this we developed Jejumok-Gwanna Math-Tour program in 2019 for students which would make them to walk and experience mathematics in the field. In that program, we suggested several Mathematics examples about natural objects and artifacts in Jejumok-Gwanna. After that, we let A middle school students within Jeju to experience this program in order to see the effect of this program. We asked participants to write pre- and past- questionnaire, have an interview, and write review. After analyzing those, this study concluded that the effect of Jejumok-Gwanna Math-Tour on student's attitude in learning mathematics was statically significant. The result of this study suggested that Mathematics Field Experience Study Program could be useful to improve student's attitude in learning mathematics.

• School Mathematics
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• v.2 no.2
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• pp.509-543
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• 2000

The purpose of this paper is to study the present situation of the performance assessment having been introduced for recent years as a new system to measure students' mathematical power as well as their achievement in mathematics by analyzing math teachers' recognition about the assessment. The specific research questions are as follows: (1) what is the difficulty in the administrative process of the assessment\ulcorner (2) what is mathematics teachers' recognition about the assessment with respect to its nature and purpose\ulcorner (3) what is the situation of the in-service program for the newly introduced assessment\ulcorner (4) what is the administrative procedure of the assessement\ulcorner (5) what is mathematics teachers' recognition about the effectiveness of the assessemtn\ulcorner (6) What support is requried to improve the assessemt?

• Journal of the Korean School Mathematics Society
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• v.14 no.4
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• pp.519-538
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• 2011

The purpose of this study is to test whether the teaching method with the Zone of Proximal Development (ZPD) proposed by Vygotsky can be more effective at learning attitudes and problem-solving abilities in the middle school's after school class. This study find that there is meaningful difference between before and after learning attitudes and problem-solving abilities of control group students. This results accord closely with expected of after school as mentioned earlier.

• School Mathematics
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• v.3 no.2
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• pp.215-231
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• 2001

The purpose of the study was to investigate the effectiveness of the manipulatives in instruction of mathematics to those who have learning disabilities. Two middle school students who revealed very low achievements in the previous mathematics tests were involved in this study. Unit Cubes were used as the manipulatives, and the researchers utilized this manipulatives to teach the number bases. After a series of instructions utilizing the Unit Cubes, the subjects were interviewed with semi-structured form. In general, the effect of using the manipulatives were positive. Both subjects could understand much better with the Unit Cubes, and revealed affirmative results such as their positive attitudes toward mathematics.