• Journal of the Korean School Mathematics Society
• /
• v.20 no.1
• /
• pp.43-56
• /
• 2017

In this thesis, the extension of the pyramid is contemplated through the pyramids presented in textbook $\ll$Math 6-1${\gg}$ published according to the 2009 revised curriculum. In textbook $\ll$Math 6-1${\gg}$, the pyramid is defined by presenting rough sketches of typical pyramids in an extensional definition method. This contrasts with the method of defining the pyramid by using such an extensional definition and a connotative definition method that reveals common properties of all pyramids. In textbook $\ll$Math 6-1${\gg}$, right pyramids whose base can not be regarded as regular polygons, and oblique pyramids are hardly presented. Nonetheless, $\ll$Math 6-1 Teacher's Guide Book${\gg}$ says that we have no choice but to handle oblique pyramids. In this thesis, based on these results, the following implications are presented as conclusions. First, there should be enough discussion on the extension of the pyramid in elementary school mathematics, and agreement to the results. In particular, such discussions are highly necessary in revising the curriculum. Second, in the process of realizing the intention of the curriculum in the textbook through the teacher's guidebook, the extension of the pyramid must be consistent. Third, there should be some consensus about the knowledge that elementary teachers should know about the pyramid.

• Journal of Elementary Mathematics Education in Korea
• /
• v.4 no.1
• /
• pp.21-37
• /
• 2000

Although methods about teaching basic principles and skills of addition and subtraction is long traditional, view points of interpreting those algorithms and ways of introducing those calculating skills are various according to textbooks at each historical stage of elementary mathematics curriculum development in Korea. The 1st and 2nd stage shows didactic transpositions less systemic. In the 3rd and 4th stage, didactic devices, which were influenced by the new math, for help of understanding the principles of addition and subtraction muchly depends on mathematical and logical mechanism rather than psychological and intellectual structure of students who learn those algorithms. Relatively compromising and stable forms appear in the 5th and 6th stages. Didactic transpositions in the 7th stage focus on the formation of mathematical concepts by exploration activities rather than on the presentation of mathematical contents by text. Anyone who wishes to design an elementary mathematics textbooks based upon the constructive view should consider the suggestions derived from such transition.

• Journal of Elementary Mathematics Education in Korea
• /
• v.18 no.1
• /
• pp.37-62
• /
• 2014

In this thesis, we inquire into teaching method of decimal fraction concept in elementary mathematics education based on measurement activity. For this purpose, our research tasks are as follows: First, we design a experimental learning-teaching plan of 'decimal fraction' unit in 4th grade textbook and verify its effect. Second, after teaching experiment using experimental learning-teaching plan, we analyze the student's status of understanding about decimal fraction concept. As stated above, we have performed teaching experiment which is ruled by new lesson design and analysed the effects of teaching experiment. Through this study, we obtained the following results. First, introduction of decimal fraction based on measurement activity promotes student's understanding of measuring number and decimal notation. Second, operator concept of decimal fraction is widely used in daily life. Its usage is suitable for elementary mathematics education within the decimal notation system. Third, a teaching method of times concepts using place value expansion of decimal fraction is more meaningful and has less possibility of misunderstanding than mechanical shift of decimal point. Fourth, teaching decimal fraction through the decimal expansion helps students with understanding of digit 0 contained in decimal fraction, comparing of size and place value. Fifth, students have difficulties in understanding conversion process of decimal fraction into decimal notation system using measurement activity. It can be done easily when fraction is used. However, that is breach to curriculum. It is necessary to succeed research for this.

• Communications of Mathematical Education
• /
• v.34 no.2
• /
• pp.119-134
• /
• 2020

Korea, where the national curriculum is run, can change school education by specifying basic competence in the common curriculum of elementary and middle schools for students to pursue school learning and real life. The numeracy as a basic competence should not be limited to mathematics, so it needs to be specified in the national curriculum covering several subjects and guided through various subject curriculums. To this end, the study proposed concepts, components, and levels of numeracy and proposed ways to reflect them in the national curriculum and other subjects' curricula. To ensure its validity, the UK, Canada and Australia curriculum are analyzed, and the results of the survey are proposed for various education experts. This study proposed two ways to briefly state the numeracy in the national curriculum and to imply the contents related to the numeracy in each subject curriculum, and to present the concepts, components and levels of numeracy in the national curriculum in detail and to describe numeracy code in each subject curriculum. These suggestions obtained high consent from experts.

• Journal of Elementary Mathematics Education in Korea
• /
• v.20 no.2
• /
• pp.283-309
• /
• 2016

The purpose of this study is to investigate gifted students in elementary mathematics how they understand of situations involving multiplication and concepts of multiplication. For this purpose, first, this study analyzed the teacher's guidebooks about introducing the concept of multiplication in elementary school. Second, we analyzed multiplication problems that gifted students posed. Third, we interviewed gifted students to research how they understand the concepts of multiplication. The result of this study can be summarized as follows: First, the concept of multiplication was introduced by repeated addition and times idea in elementary school. Since the 2007 revised curriculum, it was introduced based on times idea. Second, gifted students mainly posed situations of repeated addition. Also many gifted students understand the multiplication as only repeated addition and have poor understanding about times idea and pairs set.

• Journal of Elementary Mathematics Education in Korea
• /
• v.16 no.1
• /
• pp.21-38
• /
• 2012

In this study, elementary mathematics textbooks from grade 1 to grade 6 of Korea and Yanbian Korean Autonomous Prefecture are compared. This study is limited to number area. In this study, textbooks of Korea are developed according to the 2007 curriculum and published between 2009 and 2011 and textbooks of Yanbian are published between 2009 and 2010. Seven implications for developing Korean textbooks can be drew from Yanbian textbooks as conclusions. First, it is necessary to consider using counters to teach place values. Second, it is necessary to consider reading inequalities in style of one to one correspondence between signs and words. Third, it is necessary to consider mentioning explicitly that it is possible to express the concrete whole which has a continuous quantity as natural number 1. Fourth, it is necessary to consider introducing term of fraction line that separates the numerator and denominator. Fifth, it is necessary to consider mentioning explicitly the properties of the fraction. Sixth, it is necessary to consider broadening examples to use decimals. Seventh, it is necessary to consider stating clearly that it is possible to make an additional place of decimals by adding a zero at the right end of the decimals.

• The Mathematical Education
• /
• v.61 no.2
• /
• pp.305-322
• /
• 2022

Angle has a variety of aspects, such as figure, measurement, and rotation, but is mainly introduced from a figure perspective and a quantitative perspective of the angle is also partially experienced in the elementary mathematics textbooks. The purpose of this study was to examine how the angle concept introduction and development pattern in elementary school mathematics textbooks are linked or changed in middle school mathematics textbooks, and based on this, was to get the direction of writing math textbooks and implications for guidance. To this end, 57 math textbooks for the first grade of middle school were collected from the first to the 2015 revised curriculum. As a result of the study, it was found that middle school textbooks had a greater dynamic aspect of each than elementary school textbooks, and the proportion of quantitative attributes of angle was higher in addition to qualitative and relational attributes. In other words, the concept of angle in middle school textbooks is presented in a more multifaceted and complex form than in elementary school textbooks. Finally, matters that require consensus within elementary, secondary, and secondary schools were also proposed, such as the use of visual expression or symbol, such as the use of arrows and dots, and the use of mathematical terms such as vertex of angle and side of angle.

• Journal for History of Mathematics
• /
• v.26 no.1
• /
• pp.57-83
• /
• 2013

This study focuses on the use of mathematics notes in elementary school mathematics classes as a way of practicing mathematical communication, which was introduced as one of the main themes in the 2007 Mathematical Curriculum Revision. We investigate, through interviews with teachers and questionnaires, why and how mathematics notes are used and what are included in them, finding out various aspects of the use of mathematics notes such as the purposes, the necessities and the types. We draw some helpful suggestions for using mathematics notes in classes which has positive effects such as enhancing students' mathematical thinking and calculation ability. This study is to provide teachers with an appropriate information and basic materials on the use of mathematics notes.

• Journal of Educational Research in Mathematics
• /
• v.26 no.2
• /
• pp.247-267
• /
• 2016

It has been pointed out that the mathematics textbooks according to 2009 revised national curriculum cause difficulty not by mathematical knowledge but concomitantly by words and sentences for the first graders who just started learning Korean alphabets. This study focused on the suitability of words and sentences in mathematics textbooks for elementary first grade. We analyzed the degree of difficulty and familiarity in terms of words and the structure, length, and expression in terms of sentences. The results show some causes that lead the first graders to the difficulty. In more detail, we found 108 difficult words and 6 unfamiliar words for the first graders. And it is noticed that the textbooks contain 37 compound sentences, 727 complex sentences, and 38 compound-complex sentences. They also contain 237 long sentences that are composed of 9 words or more, 168 sentences that assign two activities or more, and 52 sentences that contain three nouns or adjectives or more successively. Based on these results and discussions, we suggested several implications for writing mathematics textbooks for the lower grades in elementary school.

• 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.