• Education of Primary School Mathematics
• /
• v.26 no.3
• /
• pp.125-140
• /
• 2023

In elementary school mathematics, the addition and subtraction of fractions are difficult for students to understand but very important concepts. This study aims to examine the teaching methods and visual aids utilized in the context of common denominator fraction addition and subtraction. The analysis focuses on evaluating the lesson flow and the utilization of visual representations in one national textbook and ten certified textbooks aligned with the current 2015 revised curriculum. The results show that each textbook is composed of chapter sequences and topics that reflect the curriculum faithfully, with each textbook considering its own order and content. Additionally, each textbook uses a different variety and number of visual representations, presumably intended to aid in learning the operations of fractions through the consistency or diversity of the visual representations. Identifying the characteristics of each textbook can lead to more effective instruction in fraction operations.

• Journal of Elementary Mathematics Education in Korea
• /
• v.17 no.3
• /
• pp.431-455
• /
• 2013

In this thesis, I classified various meanings of fraction into two categories, i.e concept(rate, operator, division) and model(whole-part, measurement, allotment), and surveyed appearances which is shown in Korea elementary mathematics textbook. Based on this results, I derived several implications on learning-teaching of fraction in elementary education. Firstly, we have to pursuit a unified formation of fraction concept through a complementary advantage of various concepts and models Secondly, by clarifying the time which concepts and models of fraction are imported, we have to overcome a ambiguity or tacit usage of that. Thirdly, the present Korea's textbook need to be improved in usage of measurement model. It must be defined more explicitly and must be used in explanation of multiplication and division algorithm of fraction.

• School Mathematics
• /
• v.18 no.3
• /
• pp.711-731
• /
• 2016

The purpose of this study is to investigate how pre-service secondary mathematics teachers modify mathematical tasks from a textbook and learning opportunities they have during the task modification. In the pursuit of this purpose, tasks was selected from derivative units in a textbook and five pre-service teachers was asked to modify the tasks. The findings from analysis are as follows. First, the cognitive demands of modified tasks were maintained or higher than those of the originals. Pre-service teachers' tendency toward conceptual understanding of derivative seems to make the result. Second, task modification provided a lot of learning opportunities for pre-service teachers. They tried to know intention of curriculum and textbook, realized the importance of predicting students' responses, and had opportunities for cooperation and reflective thinking.

• Journal of Educational Research in Mathematics
• /
• v.21 no.3
• /
• pp.221-237
• /
• 2011

This paper focused on three drawbacks exposed in subject matter related to solid figures in elementary school math textbook. First, general solid figure are introduced before rectangular parallelepiped and cube in fifth grade math textbook, and prism and pyramid in sixth grade math textbook are introduced. Second, the process of abstraction from concrete objects to solid figures is insufficient in sixth grade math textbook. Third, some definitions in subject matter related to solid figures are inconsistent and ambiguous. The following four suggestions can be put forward as a conclusion based on these results. First, subject matter in textbooks must be correspond with that in curriculum. Second, it is necessary to inform teachers of range of subject matter through teachers guide book and manual for curriculum definitely. Third, each grade subject matter in math textbooks must be reexamined. Fourth, regular modification of math textbooks must be possible institutionally.

• East Asian mathematical journal
• /
• v.38 no.2
• /
• pp.241-256
• /
• 2022

Practical Mathematics is one of the career elective subjects in the 2015 revised mathematics curriculum for high school. This study examined how well the practical mathematics textbooks reflect the recommendations and visions suggested by related professions and organizations with respect to career preparation, especially for students enrolling in engineering industry-focused specialized high schools. Also, this study looked more closely into the contents of practical mathematics in terms of the consistency among different textbooks and the advancement from middle school contents in similar domains.

• East Asian mathematical journal
• /
• v.30 no.4
• /
• pp.385-404
• /
• 2014

There are some researches for international comparing of textbook and curriculum, so far. But These researches focused on comparing special region of textbook or curriculum. On the contrary, there are hardly papers how teacher's guide is consists and different with other country. In this paper, we have analyzed teacher's guide of Korea and Everyday Mathematics which is one of the teacher's guide in the many counties in the united states of America. Especially, teaching method, differentiated contents of curriculum, characteristics of consists of curriculum and so on. On the basis of this analysis, we search the improvement points of teaching of primary mathematics and also we make all the primary school teachers realize the diversity of teaching method through foreign cases and consequently they will make use of these results as a reference material such as reconstruction of textbook.

• Journal for History of Mathematics
• /
• v.28 no.1
• /
• pp.15-29
• /
• 2015

This study aims to analyze how the history of mathematics is used in Chinese mathematics textbooks. As a framework for analysis, we categorized nine types of using the history of mathematics in textbooks. We analyzed 18 mathematics textbooks for Chinese elementary and middle schools. As a result, we found that various types of using the history of mathematics were adopted in Chinese textbooks except for explorations of mathematical errors in history. We also noticed three characteristics: preference to using for motivation and reading matters in elementary school levels, high frequencies of using problems from traditional mathematical books and origins of mathematical concepts or symbols, and emphasis on ethnic superiority through the Chinese traditional mathematics. Based on the results of analysis, we discussed and induced some implications for using the history in our mathematics textbooks.

• Communications of Mathematical Education
• /
• v.37 no.3
• /
• pp.329-348
• /
• 2023

This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.

• Journal of the Korean School Mathematics Society
• /
• v.24 no.4
• /
• pp.429-447
• /
• 2021

This study explored the changes in storytelling styles in high school first-year textbooks between the 2007 Revised National Curriculum of Mathematics and the 2015 Revised National Curriculum of Mathematics. The results are indicated as follows. First, the quantitative aspect of storytelling gradually increased in the textbook aligned with the 2015 Revised National Curriculum of Mathematics. Second, as for types of storytelling, the real-life connection and academic convergence types appeared most frequently, followed by mathematical history inquiry types, decision-making types, and tool utilization types. Third, storytelling appeared most frequently in 'main-body' of a lesson in terms of textbook content composition, followed by 'introduction', 'lesson materials', and 'evaluation'. This study implies that more diverse stories need to be developed; including the mathematical history inquiry types, the decision-making types and the tool use types. Textbooks should be organized not that the piecemeal storytelling presented in 'introduction' of a lesson but that a coherent story penetrates the entire unit to be utilized until the end of the lesson.

• School Mathematics
• /
• v.4 no.2
• /
• pp.247-260
• /
• 2002

In recent elementary school mathematics a word 'stipulation' newly appears. The word is used instead of definition. However, there seems to be some differences between definition and stipulation. So, in this paper we investigate those differences through the concept 'function of definition'. In school mathematics textbooks there are definitions which carry out special functions In mathematical contexts or situations. We can say that we understand those definitions, only if we also understand the functions of definitions in those contexts or situations. Functions of definition are classified as, stipulation-function, discrimination-function, analysis-function, demonstration-function, improvement-function. With these analyses we made a frame for investigating the characteristics of the definitions in recent elementary school mathematics textbooks. As a result of analysing functions of definition we found that generally speaking, stipulation-function is excessively emphasized and the other functions of definition are not explained adequately in school mathematics textbooks. So it is required that the textbook authors should be careful not to miss an opportunity for the functional understanding and the mathematics teachers should be aware of the functions of definitions. Finally, we comment that textbook author, teacher, and researcher should be careful in using the word 'stipulation' instead of definition, because, although there are various functions of definitions, students might ream only stipulation-function.