• Journal of Elementary Mathematics Education in Korea
• /
• v.16 no.1
• /
• pp.167-183
• /
• 2012

In this paper I analyzed mathematics textbooks of elementary school in 1st curriculum. I found that they used the natural closed items and children's play. And they also delayed the introduction of the symbol and letters. Finally they had the system to practice what students learned repeatedly.

• School Mathematics
• /
• v.15 no.4
• /
• pp.759-783
• /
• 2013

Both curriculum and textbooks play an important role in the process of didactical transposition from mathematics as a science to school mathematics. The 2009 revised national curriculum for mathematics introduced the system of grade-band, so its achievement criteria for mathematical contents tend to be addressed more and less generally in the curriculum. We need to investigate whether the achievement criteria were applied meaningfully in elementary textbooks for mathematics. This study aims to recognize the connection between the curriculum and the textbooks and make a suggestion for composing the following curriculum and its textbooks. To do this, we analyzed the mathematics textbooks for 1~2 grades in relation to the mathematical contents as per reconstructed one of curriculum achievement criteria, the mathematical terms and symbols, and the mathematical processes -mathematical problem solving, mathematical reasoning, mathematical communication. Based this analysis, futhermore, this study includes some didactical discussions and implications for development of mathematics textbooks in 3~4 and 5~6 grade-bands.

• Communications of Mathematical Education
• /
• v.22 no.4
• /
• pp.505-514
• /
• 2008

In this paper we study on derivation of formulas for roots of quadratic equation, cubic equation, and quartic equation through method analogy. Our argument is based on the norm form of polynomial. We also present some mathematical content knowledge related with main discussion of this article.

• 대한공업교육학회지
• /
• v.34 no.1
• /
• pp.44-86
• /
• 2009

The major purposes of this study were 1) to present a desirable guideline for writers who would develop the new Introduction-to-Industry textbook through the comparative analysis of 4 different kinds of current Introduction-to-Industry textbooks, 2) to help educators, who make national college entrance exam in the vocational inquiry area, make good exam items with the results of the study, and 3) to offer effective methods of teaching and learning in the field of industrial education with them. Research method used in this study was mainly literature review with the scrutinization of the literature related to the Introduction-to-Industry textbooks. Results of this study showed that all textbooks compared do mostly comply with the national writer's specific guidelines for the Introduction-to-Industry textbooks. However there were varieties for the all textbooks in a sense of deployment balance for the contents of the textbook chapters. There were also considerable differences for the deployment of supplementary materials, evaluative materials, visual materials and etc. according to the characteristics of each textbook. The degree of the connectivity between the textbooks and the national college entrance exam in the area of the vocational inquiry was similar for the each textbook. However, it was not good enough for the students to study one textbook for the preparation of the exam in the vocational inquiry area because the problems in the exam were set in the range of covering the all different kinds of textbooks by the examiners.

• School Mathematics
• /
• v.8 no.1
• /
• pp.45-68
• /
• 2006

Singaporean students have demonstrated their superior mathematical achievement and positive mathematical dispositions. Against this background, this study compared Korean elementary mathematics textbooks with Singaporean counterparts focusing on the geometry and measurement strand. The analysis was conducted in many aspects, including an overall unit structure, the contents to be covered in each grade, and the methods of introducing essential learning themes. The textbooks were also compared and contrasted with regard to the main characteristics of constructing mathematical contents. Whereas Korean textbooks used block teaming, Singaporean textbooks used repeated teaming. The latter also employed the activity of classifying multiple figures as the main method of introducing concepts. Whereas Korean textbooks consist of typical examples of figures, Singaporean counterparts include various examples consistent with the principle of mathematical variability.

• Journal of Educational Research in Mathematics
• /
• v.26 no.1
• /
• pp.121-141
• /
• 2016

In Korea where there is the national curriculum and teachers depend highly on textbooks, the school mathematics is based on curriculum and textbooks. Especially considering responsibility that textbooks should reflect the curriculum properly, it is necessary to analyze the connection of mathematics curriculum and textbooks in order to review and improve the quality of our mathematics education. This research analyzes the connection of curriculum and textbooks for 5~6 grades and aims to have some implications for revision of the textbooks when application of elementary mathematics textbooks based on the 2009 revised national curriculum is completed to all grades. Following the preceding research for 1~2 and 3~4 grades, this research sets 5~6 grades as a subject of analysis and has four contents of analysis; analysis of textbooks based on restructured achievement criteria, analysis of connections between unit objectives of textbooks and the reconstructed achievement criteria, analysis of textbooks related to mathematical terms and symbols, and analysis of textbooks related to mathematical process. The result of analysis has some implications to develop textbooks based on the 2015 revised national curriculum.

• Journal of Educational Research in Mathematics
• /
• v.17 no.3
• /
• pp.271-293
• /
• 2007

Mathematics workbook is developed according to the amendment of the 7th national curriculum of mathematics. This study polled 300 national mathematics teachers in the elementary school, middle school, and high school to find out what they think in conjunction with the introduction of mathematics workbook such as needs for mathematics workbook, teachers' recognition about the system of mathematics textbook and workbook which are proper for lesson of achievement level and organization of mathematics workbook before using the mathematics workbook in school. As a results, mathematics teachers want the introduction of workbook because it helps students' self-regulated learning of mathematics and it is material very valuable for teachers to give lessons of achievement level. Also, we suggest the organization and contents of mathematics workbook on the base of our survey. Mathematics workbook has a lot of exercises assessing into the upper, intermediate, lower level in the contents, concepts of mathematics learning. It has the items developed with various problem solving methods and emphasis on performance tests, an essay-type examination and a periodical assessment. It has the problem posing items and the corner that helps students revise their mathematical errors and proposes useful, interesting mathematical activities and the commentary of a correct answer to questions at the tail of the book.

• Communications of Mathematical Education
• /
• v.27 no.3
• /
• pp.221-248
• /
• 2013

Among five types of the model textbook based on storytelling, the type of 'Inquiry into history of Mathematics' focuses on adapting the logic of mathematical discovery to the organization of mathematical contents. It enables students to recognize that mathematics has been developed by human needs and creativity while they are engaged in the story about knowledge formation. Moreover the textbook offers the context in which students are able to understand mathematical insights and logics hidden in the subject matter, so that they can reinvent and develop mathematical knowledge. In this study, we found the principles for development of the textbook based on storytelling for 'Inquiry into History of Mathematics' by analyzing the chapter about 'Complex number and Quadratic Equations' of the model textbook. The chapter was implemented in classroom environment and students' understanding of the subject matter and their perception on the textbook based on storytelling were surveyed before and after the implementation. The results showed the possibilities of adapting the textbook based on storytelling and we suggested some implications for further development.

• The Mathematical Education
• /
• v.62 no.3
• /
• pp.417-433
• /
• 2023

In the 2022 revised mathematics curriculum, a new content on 'Movement of a point' was added. Therefore, this study analyzed the contents of the movement of a point presented in Finnish mathematics textbooks as elements of spatial orientation. Analysis was conducted by dividing it into direction, distance, and route. As a result of the study, in Finnish textbooks, directions were expressed in various ways, such as linguistic, visual, and coded expressions. In the case of distance, activities to move as much as the distance or compare the distance were presented using the number of cells, length, steps, coordinate points, ratio, etc. In the case of routes, activities such as moving according to instructions, making routes, finding the route, and modifying the route were presented using unconditional movement and conditional movement. In particular, the movement of a point could be linked not only to various mathematical content areas such as 'number and arithmetic' and 'change and relationship', but also to digital literacy and programming education. Knowing that the movement of a point can be presented in various ways according to the direction, distance, and route, it is expected that it can be used to organize the contents of the 2022 revised mathematics textbook.

• Communications of Mathematical Education
• /
• v.25 no.2
• /
• pp.289-308
• /
• 2011

The purpose of this research is to compare high school mathematics textbooks published by India with those published by Korea so that we apply merits of India's high school mathematics education to our educational problems. We first study India's educational systems, and analyze the mathematics textbooks from both countries by considering their external appearance, units, contents. Finally we give meaningful results and propose what we can do for our mathematics education based on our analysis performed in this paper.