• Journal for History of Mathematics
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• v.31 no.3
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• pp.127-150
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• 2018

In spite of important researches and translational works of the Joseon mathematical treatises in the 80's and on, these results were almost out of reach to the school teachers as well as students due to the antiquity of their contents and the terms used. In order to make our traditional mathematics approachable to the middle and high school students, it will be educationally meaningful to reinterpret them tuned at the student's level using modern terminology and symbols. In this study, we reinterpreted 9 problems from Cheukryang Dohae, which is one of the representative mathematical books of Joseon Dynasty. We used the terminology and symbols from the school curriculum. We also reconstructed two of them using modern metrologies adapted to modern situations adding illustrations and photos, so that they are useful at the teaching site.

• East Asian mathematical journal
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• v.39 no.2
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• pp.183-198
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• 2023

Classroom observation instruments are often used to evaluate teachers' instructional practices and provide feedback to inform interventions or research studies, or professional development efforts. While designed as research tools, many classroom observation instruments can provide important information to support teachers' learning and instructional change by providing a focus for formative assessment or self-evaluation of practice. In this paper, we review two classroom observation tools and the protocols for their use with an implementation example for one of the tools. These tools are more foreign to the field compared to others but have features that might serve as affordances in relation to the purposes of a specific investigation.

• Communications of Mathematical Education
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• v.35 no.4
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• pp.505-525
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• 2021

In this study, we investigated how multiplication by 2-digit numbers had been taught in elementary mathematics textbooks of Korea, Japan, Singapore, and USA. As a result of analysis, we found as follows. Korean textbooks do not teach the multiplication by 10 and the multiplication by power of 10, but Japanese, Singapore, and US textbooks explicitly teach related content. In the '×tens' teaching, Japanese and American textbooks teach formally the law of association of multiplication applied in the process of calculating the partial product of multiplication. The standard multiplication algorithm generally followed a standard method of recording partial product result according to the law of distribution, but the differences were confirmed in the multiplication model, the teaching method of the law of distribution, and the notation of the last digit '0'. Based upon these results, we suggested some proposals for improving the multiplication teaching.

• Journal of the Korean School Mathematics Society
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• v.25 no.1
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• pp.61-77
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• 2022

This study looked at the deviation of each textbook, focusing on the detailed learning content related to the quadratic curve properties contained in high school geometry textbooks. Rather than criticizing the diversity of content elements covered in high school geometry textbooks and suggesting alternatives, it focused on analyzing the actual conditions of content element diversity. The curriculum specifies that the practical application of the quadratic curve should be emphasized so that student could recognize the usefulness and value. However, as a result of the analysis, it was confirmed that the purpose of the curriculum and the structure of the textbook did not match somewhat, the deviation of content elements for each textbook was quite large. In terms of acknowledging the diversity of teaching and learning, the diversity of each textbook on the methods of the introduction and the natures related to the quadratic curve can be fully recognized. But in our educational reality, which is aiming for the university entrance examination system through national evaluation such as CSAT, the results are too sensitive in society as a whole, so the diversity of expressions in mathematics textbooks is sometimes interpreted as a disadvantage of evaluation. It is time to reconsider the composition of textbooks that recognizes the diversity of content elements in textbook teaching and learning and at the same time reflects the aspect of equality in evaluation.

• Communications of Mathematical Education
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• v.20 no.2 s.26
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• pp.295-326
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• 2006

Despite the importance of mathematics education, many students in high school have lost their interests and felt difficulties and they don't have 'mathematical' experience with meanings attached because of the entrance examination. This paper attempted to resolve these problems and find the teaching-method with which students can study by themselves with more confidence. Nowadays students' use of Internet is very popular. After develop 'the development of mathematical power' program based on mathematics history, history, science, the application of problems in real world, and self-evaluation, I made students repeat them after making teaching lessons in classroom as moving pictures. Through this processes, I attempted to develop the Self-Directed Learning' ability by making public education substantial. First of all I analyzed the actual conditions on 'Self-Directed Learning' ability in mathematics subject, the conditions of seeing and hearing in Internet learning program, and students' and their parents' interests in Internet education. By analyzing the records, I observed the significance of the introducing mathematics history in mathematics subject in early stager, cooperative-learning, leveled-learning, self-directed learning, and Internet learning. Actually in aspect of applying 'the development of mathematical power' program, at first I made up the educational conditions to fix the program, collected the teaching materials, established the system of teaching-learning model, developed materials for the learning applying Internet mail and instruments of classroom, and carried out instruction to establish and practice mathematics learning plan. Then I applied the teaching-learning model of leveled cooperation and presentation loaming and at the same time constructed and used the leveled learning materials of complementary, average, and advanced process and instructed to watch teaching moving pictures through Internet mail and in the classroom. After that I observed how effective this program was through the interest arid attitude toward mathematics subject, learning accomplishment, and the change of self-directed learning. Finally, I wrote the conclusion and suggestion on the preparation of conditions fur the students' voluntary participation in mathematics learning and the project and application on 'the development of mathematical power' program and repeated learning with the materials of moving pictures in classroom.

• The Mathematical Education
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• v.47 no.4
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• pp.421-436
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• 2008

Mathematics assessment doesn't mean examining in the traditional sense of written examination. Mathematics assessment has to give the various information of grade and development of students as well as teaching of teachers. To achieve this purpose of assessment, we have to search the methods of assessment. This paper is aimed to develop the open-ended problems that are the alternative to traditional test, apply them to classroom and analyze the result of assessment. 4-types open-ended problems are developed by criteria of development. It is open process problem, open result problem, problem posing problem, open decision problem. 6 grade elementary students who are picked in 2 schools participated in assessment using open-ended problems. Scoring depends on the fluency, flexibility, originality The result are as follows; The rate of fluency is 2.14, The rate of flexibility is 1.30, and The rate of originality is 0.11 Furthermore, the rate of originality is very low. Problem posing problem is the highest in the flexibility and open result problem is the highest in the flexibility. Between general mathematical problem solving ability and fluency, flexibility have the positive correlation. And Pearson correlational coefficient of between general mathematical problem solving ability and fluency is 0.437 and that of between general mathematical problem solving ability and flexibility is 0.573. So I conclude that open ended problems are useful and effective in mathematics assessment.

• Journal of the Korean School Mathematics Society
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• v.3 no.2
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• pp.195-215
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• 2000

Illinois issues the following standard teaching certificates : Early Childhood (birth-grade 3), Elementary (grades K-9), High School (grades 6-12) Special (grade K-12), School Service Personnel, and Administrative. Any of the preceding certificates can be issued on a provisional (maximum of two fiscal years) basis to qualifying individuals. Other certificates issued are : Substitute, Provisional Vocational, Temporary Provisional Vocational, Part-Time Provisional, and General. To obtain an Early Childhood, Elementary, High School, or Special certificate in Illinois, you must either complete an approved teacher education program or be an experienced, licensed teacher seeking a subsequent certificate through transcript evaluation. You must meet all other requirements for the particular certificate you are seeking, For school Service Personnel and Administrative certificates you must have completed a state approved program before you may apply. The Standard Elementary Certificate, High School Certificate, and Special Certificate are valid for four years for teaching. These certificates may be issued to graduates with a bachelor's degree from a recognized college who have successfully completed the required certification examinations and who present certified evidence of having earned credits. All individuals receiving certificates must be of good character and in good health, and be at least 19 years of age and a citizen of the United States or legally present and authorized for employment.

• The Mathematical Education
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• v.47 no.3
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• pp.273-290
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• 2008

This article provides how to implement the use of Realistic Mathematics Education (RME) in a teaching a function at a school to improve the equity based on the gender in students' mathematization for their mathematical thinking using technology. This study was planed to get research results using the mixed methodology with qualitative and quantitative methodologies. 120 middle school students participated in the study to bring us data about their mathematical achievement. Through the data analysis used by ANCOVA for the qualitative method, the students with the experiment of the mathematization based on technology excelled the other groups of students who were not provided with technology or both of them. Through the data analysis used by the constant comparative method for the qualitative data, the technology environment had helped the female students manipulate learning trends easily, strong construction on horizontal mathematization, depending on discussion with peers, and more reflexive thinking using a calculator. This means that teachers can put careful assignment on each category of mathematization regarding the gender. The study results in a lot of resources for teachers to use into their teaching mathematics for improving students' equity in interactive technology environment.

• Journal for History of Mathematics
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• v.22 no.2
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• pp.81-98
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• 2009

Probability plays a very important role in modern society as an essential tool for solving various kinds of problems from our real life or scientific province. However, most of precedent studies on probability pointed out that many students had difficulties in understanding the nature of it, and that probability teaching method in the classroom is easily led only to calculation system, which is isolated from practical applications. In this paper, I make a close study further onto these themes, by analyzing the 8th grade textbooks through these following questions; how do the textbooks deal with calculation of probability that certain two events occur at the same time? On the practical basis, how do they make use of probability as a problem-solving instrument in both actual life and scientific fields? After these, I try to extract some features and issues of probability teaching method in current Korean textbooks.

• Journal of Educational Research in Mathematics
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• v.18 no.3
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• pp.283-308
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• 2008

A poor achievement of basic competency leads to obstacles of the same subject and other subjects from a series of accumulative losses and social life. The Grade 3 National Diagnostic Assessment of Basic Competency (NDAHC) dated from 2002, Teaching Plan Responsible to Basic Competency and compensational education materials for students of the below-basic level has marked a line in the chain of policy to realize educational welfare. The goal of NDABC is to collect information of the reason with regard to learning deficiency and individual student's information, and ultimately teach them on the basis of those informations. This study analyzed the characteristics of below-basic students in the basic mathematics with data from NDABC from 2003 to 2007. Students of the below-basic level were affected in achievement by numerical distinction, regrouping, arrangement and descriptive form of item, information-providing way, typical example, familiarity, frequency in use in daily life etc. This study provides a basic important information with regard to teaching below-basic students and suggestions with compensational education materials for them.