• The Mathematical Education
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• v.57 no.3
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• pp.215-229
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• 2018

Despite the importance of learning to do mathematical proofs, researchers have reported that not only secondary school students but also undergraduate students have difficulties in learning proofs. In this study, we introduced a new toll for learning proofs and explored the reliability and the validity of peer assessment on proofs. In the course of a university in Seoul, students were given weekly proof assignments prior to class. After solving the proofs, each student had to assess other students' proofs. The inter-rater reliabilities of weekly peer assessment was higher than .9 over 90 percent of the observed cases. To examine the validity of peer assessment, we check whether students' assessments were similar to expert assessment. Analysis showed that the equivalence has been quite high throughout the semester and the validity was low in the middle of the semester but rose by the end of the semester. Based on these results, we believe instructors can consider the application of peer assessment on proving tasks as a tool to help students learn.

• International Journal of Computer Science & Network Security
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• v.21 no.4
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• pp.306-312
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• 2021

The main goal of higher education institutions is to present a high level of quality education to its students. This study uses data mining techniques to extract educational data from cumulative databases and used them to make the right decisions. This paper also aims to find the factors affecting students' academic performance in Majmaah University, KSA, during 2010 - 2017 period. The study utilized a sample of 6,158 students enrolled from two colleges, males and females. The results showed a high percentage of stumbling and dismissed between graduate and regular students where more than 62.5% failed to follow the plan. Only 2% of students scored distinction during their study of all graduated since their grade point average, secondary level, was statistically significant, where p<0.05. Dismissed percentage was higher among males. These results promoted some recommendations in which decision-makers could take them in considerations for better improvement of academic achievements: including of specialized programs to follow-up in regards to stumbling and failure. Utilization of different communication tools are needed to activate academic advisory for dismiss and dropout evaluation.

• Communications of Mathematical Education
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• v.25 no.2
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• pp.473-495
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• 2011

Across the secondary school, students deal with the algebraic conditions like as identity, inverse, commutative law, associative law and distributive law. The algebraic structures, group, ring and field, are determined by these algebraic conditions. But the conditioning of these algebraic structures are not mentioned at all, as well as the meaning of the algebraic structures. Thus, students is likely to be considered the algebraic conditions as productions from the number sets. In this study, we systematize didactically the meanings of algebraic conditions and algebraic structures, considering connections between the number systems and the solutions of the equation. Didactically systematizing is to construct the model for student's natural mental activity, that is, to construct the stream of experience through which students are considered mathematical concepts as productions from necessities and high probability. For this purpose, we develop the program for the gifted, which its objective is to teach the meanings of the number system and to grasp the algebraic structure conceptually that is guaranteed to solve equations. And we verify the effectiveness of this developed program using didactical experiment. Moreover, the program can be used in ordinary students by replacement the term 'algebraic structure' with the term such as identity, inverse, commutative law, associative law and distributive law, to teach their meaning.

• School Mathematics
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• v.19 no.3
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• pp.593-615
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• 2017

The purpose of this study is to develop a mobile-based math learning application and explore its application. In order to develop a learning application, the present study included literature review on math education involving mobile learning, investigation of literature related to mathematics education conducted in a digital environment, and method of use and implementation environment of existing math learning applications by type. Based on these preliminary investigation and analysis, an android version application, 'Mathematics Classroom for Middle School 3rd Graders' was developed. This application can be used for learning units such as Quadratic Functions and Graphs, Representative Value, and Variance and Standard Deviation. For the unit on Quadratic Functions and Graphs, the application was constructed so that students can draw various graphs by using the graphic mode and discuss their work with other students in the chatting room. For the unit on Representative Value, the application was constructed with the mathematical concept of representative value explained through animation along with activities of grouping data acquired after playing archery games by points or arranging them according to size so that students can study when and how to use median value, mode, and average. The application for Variance and Standard Deviation unit was also constructed in a way that allowed students to study the concept of variance and standard deviation and solve the problems on their own. The results of this study can be used as teaching & learning materials customized for individual student in math classes and will provide anyone the opportunity to engage in an interesting self-directed learning of math at anytime. Developed in the format of real life study, the application will contribute to helping students develop a positive attitude about math.

• Journal of Educational Research in Mathematics
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• v.23 no.1
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• pp.17-35
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• 2013

The purpose of this study was to analyze the extendibility of division algorithm and Euclid algorithm for integers to algorithms for rational numbers based on word problems of fraction division. This study serviced to upgrade professional development of elementary and secondary mathematics teachers. In this paper, fractions were used as expressions of rational numbers, and they also represent rational numbers. According to discrete context and continuous context, and measurement division and partition division etc, divisibility was classified into two types; one is an abstract algebraic point of view and the other is a generalizing view which preserves division algorithms for integers. In the second view, we raised some contextual problems that can be used in school mathematics and then we discussed division algorithm, the greatest common divisor and the least common multiple, and Euclid algorithm for fractions.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.899-925
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• 2013

The purpose of this study was to examine how constructive-response questions in regular test was in aligned with the nature and goals of 2007 Curriculum Amendment. For this purpose, data were collected and analysed by using the framework for mathematical task and the cognitive demand of tasks suggested by Smith & Stein(1998) and mathematical proficiency suggested by National Research Council(2001). In particular, it aimed to reveal the overall picture of the level of cognitive demand and the proportion of mathematical proficiency of constructed-response items created by secondary mathematics teachers. The findings from the analysis showed that 70 percent of the constructed-response items were at low-level and the rest at high-level in terms of cognitive demand. Also, the constructed-response assessment focused on conputing (89%), understanding(45%), applying(30%) and least reasoning(17%). Most of the constructed-response items included computing and were algorithmic.

• School Mathematics
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• v.18 no.3
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• pp.667-689
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• 2016

Value is an intellectual and an affective concept that influences behavior. It does not exist individually but is conveyed through generation with some system. Korean students showed high achievement scores in spite of low emotion in mathematics learning. The objects of value recognition ought to be extended to social value as well as mathematics for balancing intellectual and affective features. Since the value formed at the first step in mathematics learning keeps its influence even after learning, it is important to form a positive recognition in the value. The following conclusions were drawn. First, the mathematics learning value instrument developed in this study. It is appropriate to explain a students' imbalance of intellectual and affective characteristics. Second, it is possible that the intellectual achievement of Korean students are influenced by the others-oriented value in particular. Third, the recognition of the mathematics learning value of elementary school students would have an influence on secondary school learning. Therefore, education for parents of elementary school students is required. This study can provide a basis on the view of the mathematics learning value which influences the educational result of Korean elementary students as well. It is expected from the following studies that focus on improving affective characteristics on mathematics learning of Korean students is beneficial.

• Journal of The Korean Association of Information Education
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• v.18 no.2
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• pp.285-294
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• 2014

Recently, research using robots as a learning tool has increasingly been conducted in K-12 education area. It has been known that hands-on robots give positive educational effect not only on science and mathematics, but on STEAM activity, and help improve the abilities necessary in the 21 century, such as critical thinking, creativity, communication skills, and team work. Despite many research achievements, there is still few research on robot based curriculum to improve the instrumental application of robots in the primary and secondary education fields. In other words, there is a lack of studies of systematic educational contents, educational methods and educational evaluation to increase the instrumental application according to schools and class years. Therefore, this study analyzed domestic and foreign robot based curriculums and relevant cases to develop 'robot' related educational programs in primary school and middle school, suggested the achievement objectives in the robot area as a sub category of the computer science curriculum which will be revised, and proposed teaching-learning method and evaluation method.

• Communications of Mathematical Education
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• v.35 no.4
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• pp.527-546
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• 2021

The purpose of this study is to reveal what mathematics teachers focus on and how they assess students' thinking during lessons enacted. For this purpose, we googled and searched internet sites to collect formative assessment materials for the year 2014 to 2019. The formative assessment tasks data were analyzed according to the levels cognitive demand levels and tasks suggested in textbooks in terms of degrees to which how they are related. The data analysis suggested as follows: a) most of the formative assessment tasks were at the low-level, in particular, PNC level tasks that require applying particular procedures without connections to concepts and meaning underlying the procedures, b) the assessment tasks appeared to be very similar to the tasks suggested in the secondary mathematics textbooks, and c) it seemed that 3 types of formative assessment, observation notes, self-assessment, and peer-assessment were dominantly utilized during mathematics lessons and these different types of formative assessment were employed apparently to find out whether students participated actively in class and in group activity, not how they go through understanding or thinking processes.

• Journal of Korean Home Economics Education Association
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• v.1 no.1
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• pp.33-42
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• 1989

By the comparative analysis of high school Home Economics curricula in the U.S., Japan and Taiwan, this study first attempts to understand the current Home Economics education and to access its treads for each country. Based on the findings of the analysis, the study also seeks to get the major implications of the analysis for the betterment of the Korea Home Economics Education. The main sources of information and data analyzed here are： 1) curricula for both Oklahoma and Ohio state as representatives of the U.S.； 2) Home Economics Teaching Guidelines in Japan； and 3) Home Economics curriculum in Taiwan. Content Analysis technique is applied in this study. The major elements of contents include：1) structure of the curriculum； 2) subject name； 3) unit (time) allotment； 4) goals； 5) subject areas and content composition； and 6) other related characteristics for the implementation of the curriculum. Summarized results of the study outline as follows： 1) Home Economics is offered as independently required subject with equal status to Mathematics, Science, and Social Studies subject in all three countries； 2) Sex discrimination is prohibited both in the U.S. and Taiwan, while in Japan sex equity is not secured for Home Economics educations； 3) Time allotment for Home Economics in Japan and Taiwan is similiar to that in Korea；4) Subject areas cover such fields as Foods and Nutrition, Clothing and Textiles, Home Management, and Human Development in all three countries, which is similiar to those of Korea. In addition, Consumer Education and Career Education are also covered in the U.S., whereas in Japan Child Care is offered； and 5) Curriculum can be utilized as instructional planning material due to the clear specification of instructional methods, materials, and evaluation methods on the curriculum, especially in the U.S. and Taiwan.