• Journal of Educational Research in Mathematics
• /
• v.15 no.4
• /
• pp.401-417
• /
• 2005

Skemp supposed that it is effective to use both examples and non-examples when new concepts which are upper level than learner's schema are introduced. The purpose of this research is to develop a practical process of teaching geometrical concepts based on Skemp's assumption. For this, the related literatures are reviewed and the Korean textbooks(4-ga, 4-na) are analyzed with respect to method of concept formation. The analysis to]Is that the textbook just explains Properties of concepts or present definitions, instead of giving the chance of inquiry. So we design and apply six step process of teaching geometrical concepts to 4th graders focused on students' inquiry using both examples and non-examples.'rho result turns out that using examples and non-examples is highly positive to concept formation.

• Journal of Educational Research in Mathematics
• /
• v.22 no.4
• /
• pp.445-458
• /
• 2012

Current textbooks may provide students and teachers with three improper notions related to the quotient and the remainder in division for decimal numbers as in the following. First, only the calculated results in (natural numbers)${\div}$(natural numbers) is the quotient. Second, when the quotient and the remainder are obtained in division for decimal numbers, the quotient is natural number and the remainder is unique. Third, only when the quotient cannot be divided exactly, the quotient can be rounded off. These can affect students and teachers on their notions of division for decimal numbers, so improvements are needed for to break it. For these improvements, the following measures are required. First, in the curriculum guidebook, the meaning of the quotient and the remainder in division for decimal numbers should be presented clearly, for preventing the possibility of the construction of such improper notions. Second, examples, problems, and the like should be presented in the textbooks enough to break such improper notions. Third, the didactical intention should be presented clearly with respect to the quotient and the remainder in division for decimal numbers in teacher's manual.

• Education of Primary School Mathematics
• /
• v.14 no.1
• /
• pp.43-55
• /
• 2011

The purpose of this study was to investigate the effects of inquiry oriented instruction on the learning of area formulas. For this purpose, current elementary mathematics textbook(2007 revised version) which deal with area formulas was reviewed and then the experimental research on inquiry oriented instruction in area formulas was conducted. The results of this study as follow; First, there was no significant effect of inquiry oriented instruction on the mathematical achievement in area formula problems. Second, there was no significant effect on the memorization of area formulas. Third, there was significant effect on the generalization of area formulas. Forth, there was significant effect on the methods of generalization of area formulas. Fifth, through inquiry activities, the students can learn mathematical ideas and develop creative mathematical ideas. Finally, implications for teaching area formulas through inquiry activity was discussed. We have to introduce new area formula through prior area formulas which had been studied, and make the students inquire the connection between each area formulas.

• School Mathematics
• /
• v.18 no.4
• /
• pp.793-818
• /
• 2016

The purpose of this study is to explore in detail $5^{th}$ grade students' understanding on the big ideas related to addition of fraction with different denominators: fixed whole unit, necessity of common measure, and recursive partitioning connected to algorithms. We conducted teaching experiments on 15 fifth grade students who had learned about addition of fractions with different denominators using the current textbook. Most students approached to the big ideas related to addition of fractions in a procedural way. However, some students were able to conceptually understand the interpretations and algorithms of fraction addition by quantitatively thinking about the context and focusing on the structures of units. Building on these results, this study is expected to suggest specific implications on instruction methods for addition of fractions with different denominators.

• Journal of Science Education
• /
• v.48 no.1
• /
• pp.47-62
• /
• 2024

The purpose of this study is to investigate the effects of classes using AlgeoMath on fifth grade elementary students' mathematical problem-solving skills and mathematical attitudes. For this purpose, the 'cuboid' section of the 5th grade elementary textbook based on AlgeoMath was reorganized. A total of 8 experimental classes were conducted using this teaching and learning material. And the quantitative data collected before and after the experimental lesson were statistically analyzed. In addition, by presenting instances of experimental lessons using AlgeoMath, we investigated the effectiveness and reality of classes using engineering in terms of mathematical problem-solving ability and attitude. The results of this study are as follows. First, in the mathematical problem-solving ability test, there was a significant difference between the experimental group and the comparison group at the significance level. In other words, lessons using AlgeoMath were found to be effective in increasing mathematical problem-solving skills. Second, in the mathematical attitude test, there was no significant difference between the experimental group and the comparison group at the significance level. However, the average score of the experimental group was found to be higher than that of the comparison group for all sub-elements of mathematical attitude.

• Education of Primary School Mathematics
• /
• v.16 no.2
• /
• pp.123-145
• /
• 2013

This study was expected to yield the meaningful conclusions from the experimental group who took lessons based on inductive activities using GeoGebra at the beginning of proof learning and the comparison one who took traditional expository lessons based on deductive activities. The purpose of this study is to give some helpful suggestions for teaching proof to mathematically gifted elementary students. To attain the purpose, two research questions are established as follows. 1. Is there a significant difference in proof abilities between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? 2. Is there a significant difference in proof attitudes between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? To solve the above two research questions, they were divided into two groups, an experimental group of 10 students and a comparison group of 10 students, considering the results of gift and aptitude test, and the computer literacy among 20 elementary students that took lessons at some education institute for the gifted students located in K province after being selected in the mathematics. Special lesson based on the researcher's own lesson plan was treated to the experimental group while explanation-centered class based on the usual 8th grader's textbook was put into the comparison one. Four kinds of tests were used such as previous proof ability test, previous proof attitude test, subsequent proof ability test, and subsequent proof attitude test. One questionnaire survey was used only for experimental group. In the case of attitude toward proof test, the score of questions was calculated by 5-point Likert scale, and in the case of proof ability test was calculated by proper rating standard. The analysis of materials were performed with t-test using the SPSS V.18 statistical program. The following results have been drawn. First, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in proof ability than the comparison group who took traditional proof lessons. Second, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in the belief and attitude toward proof than the comparison group who took traditional proof lessons. Third, the survey about 'the effect of inductive activities using GeoGebra on the proof' shows that 100% of the students said that the activities were helpful for proof learning and that 60% of the reasons were 'because GeoGebra can help verify processes visually'. That means it gives positive effects on proof learning that students research constant character and make proposition by themselves justifying assumption and conclusion by changing figures through the function of estimation and drag in investigative software GeoGebra. In conclusion, this study may provide helpful suggestions in improving geometry education, through leading students to learn positive and active proof, connecting the learning processes such as induction based on activity using GeoGebra, simple deduction from induction(i.e. creating a proposition to distinguish between assumptions and conclusions), and formal deduction(i.e. proving).

• Journal of Elementary Mathematics Education in Korea
• /
• v.18 no.3
• /
• pp.459-474
• /
• 2014

The purpose of this study was to investigate the effects of mathematical instruction using GSP program on the symmetrical figures learning and self-directed learning attitude. According to the pretest result, the experiment group and the comparison group showed to be homogeneous groups. The experiment group has learned symmetrical figures for 9 hours using the GSP program and the comparison group has learned for 9 hours using the traditional method(paper and pen lesson). As the posttests, self-directed learning attitude test and symmetry figure understanding test were performed. The results obtained in this research are as follows; First, there was a significant difference in symmetry figure understanding test between the experiment group which learned through GSP program and the comparison group which learned through traditional method. Since there showed a very high achievement in the experiment group which learned using GSP, it can be inferred that GSP was very effective in the lessons of symmetrical movements. Second, there was a significant difference in self-directed learning attitude test between the experiment group and the comparison group. This seems to be because the length of the sides of the figures, size of the angles of the figures etc can be verified instantly and the students can correct by themselves and give feedbacks when they use GSP program. Students preferred drawing using the GSP over drawing using rulers and pencils, and they showed interest in the GSP program and they did not have burden in being wrong in their study and studied in various methods. And as they become familiar with the GSP program, they even studied other contents beyond the scope presented in the textbook.

• The Mathematical Education
• /
• v.42 no.3
• /
• pp.295-302
• /
• 2003

The purpose of this study is to make more reliable researches on the tendency of shirking from the mathematics by including those of the students in the other country, and there are a series of researches such as 'math-camp to raise the mathematical tendency of the students who make little progress in the study', 'establishment of factors causing the shirking tendency from the mathematics and development of the analyzing instruments for it' and 'study on the preference to each category of the school mathematics.' For this purpose, I used a test developed by the shirking tendency research team. I compared the average score and standard deviation between the Korean and the Australian students. As for the average score, that of the Australian elementary school students is about one point higher than the Korean students, and there was no remarkable difference in the deviation. Comparing the math-shirking tendency of the two groups, they show higher shirking tendency in the aspects of emotional and mathematical recognition that belong to the psychological and environmental sphere. And, as for an extent of association in difficulties according to each school grades, its degree of the Australian students is comparatively lower than that of the Korean students, therefore, the shirking tendency of the Australian students is intermediate level whereas that of the Korean students is the lowest. They show us a peculiar result in teacher factor. It is noteworthy in that the Korean students show a positive reaction in that factor, however, the Australian students show a comparatively weak reaction. It might be caused by a cultural difference. I also have compared the accumulated percentage according to each shirking tendency factors. It will not only be very efficient for teachers to establish a teaching plan but also a good data to understand the shirking tendency of each student. This will be a very good data for the planners of teaching policy to remedy the causes of shirking tendency. And, it will also be used effectively to write a new textbook. It has been uncommon that a psychological test is used in the research for the improvement of teaching and learning mathematics. In this aspect, I am sure that this study including the preceding research will be a good in studying the shirking tendency factors by using a psychological test. I believe that this research will be a help to grasp the outline of the shirking tendency and I will have to try continuously to make it be a reasonable and reliable study.

• Journal of the Korean earth science society
• /
• v.25 no.7
• /
• pp.558-564
• /
• 2004

This research investigated the connection between science textbook contents in Democratic People's Republic of Korea (DPRK) and those in Republic of Korea (ROK). Both text books in the field of earth science were analyzed and classified into 70 categories based on the Third International Mathematics and Science Study (TIMSS). Comparison was specifically made between the elementary and middle school text books of both countries; the result are as follows: First, the scope and the level of the textbooks' contents are quite different between DPRK and ROK. Text books in the South are much limited in concepts and terms than those in the North. In contrast, textbooks in DPRK are written mainly to explain concepts. Second, there are many common contents of the textbooks in DPRK and Republic of Korea. The level and scope of the contents in Republic of Korea are more inquisitive, quantitative and detailed than those in DPRK. Third, we found content connections in science textbooks between primary and secondary schools in both countries: 27 items (38.5%) are related in ROK and 19 items (27.1%) in DPRK.

• Journal of the Korean Society of Earth Science Education
• /
• v.16 no.2
• /
• pp.291-301
• /
• 2023

In this study, the STEAM elements and convergence types which appeared in the creative and convergent activities in authorized elementary school science textbooks for 5^th and 6^th graders were analyzed. For this study, creative and convergence activities presented in 9 different science textbooks for 5^th and 6^th graders were selected and the STEAM elements and convergence types were analyzed by each publisher, grade-semester, and science field. The results of this study are as follows. First, there was a large variation by publisher in the total frequency of STEAM elements and the frequency of each element in creative and convergence activities. Second, the ratio of convergence type consisting of two elements was very high, and the higher the number of fused elements, the lower the ratio appeared in overall. Third, the art (A) element had the highest frequency in all grade-semesters, and the technology (T), engineering (E), mathematics (M) elements differed in the distribution of frequency by grade-semesters. Fourth, the engineering (E) element in the 'integration' field, and the art (A) element in the fields of 'movement and energy', 'material', 'earth and universe', and 'life' had the highest frequency.