• Journal of Elementary Mathematics Education in Korea
• /
• v.15 no.1
• /
• pp.1-18
• /
• 2011

The purpose of this study was to investigate the effects of estimation strategy on placing decimal point in multiplication and division of decimals. To examine the effects of improving calculation ability and reducing decimal point errors with this estimation strategy, the experimental research on operation with decimal was conducted. The operation group conducted the decimal point estimation strategy for operating decimal fractions, whereas the control group used the traditional method with the same test paper. The results obtained in this research are as follows; First, the estimation strategy with understanding a basic meaning of decimals was much more effective in calculation improvement than the algorithm study with repeated calculations. Second, the mathematical problem solving ability - including the whole procedure for solving the mathematical question - had no effects since the decimal point estimation strategy is normally performed after finishing problem solving strategy. Third, the estimation strategy showed positive effects on the calculation ability. Th Memorizing algorithm doesn't last long to the students, but the estimation strategy based on the concept and the position of decimal fraction affects continually to the students. Finally, the estimation strategy assisted the students in understanding the connection of the position of decimal points in the product with that in the multiplicand or the multiplier. Moreover, this strategy suggested to the students that there was relation between the placing decimal point of the quotient and that of the dividend.

• Korean Journal of Child Education & Care
• /
• v.17 no.4
• /
• pp.145-161
• /
• 2017

The purpose of this study was to analyze the relationship among NCS basic vocational competencies, Teaching Personality Aptitude and DISC behavior type of pre-preschool teachers. The subjects were 110 pre-preschool teachers attended in D university located in Kyonggido. 'NCS basic vocational competencies scale', 'Teaching Personality and Aptitude scale', and 'DISC behavior type scale' were used in the collection of data. It used Pearson's correlation Analysis to analyze the data. The results of this study are as follows; first, there was positive correlations between dominance trait and mathematical competency. And, there was positive correlations between interaction trait and self-development competency. And there were negative correlations between support traits and NCS basic vocational competencies. Second, it was revealed that positive correlations between almost sub scale's of NCS basic vocational competencies and teacher teaching personality aptitude. Third, there was positive correlations between dominance trait and sub scale of teaching personality aptitude(e.g.: problem solving/ inquiry skills, judgment, creativity/practical ability, leadership, knowledge/information ability, planning ability, sincerity/responsibility). And there were negative correlations between support traits and sub scale of teaching personality aptitude(e.g.: problem solving/ inquiry skills, judgment, creativity/practical ability, leadership, sincerity/responsibility).

• School Mathematics
• /
• v.4 no.2
• /
• pp.297-316
• /
• 2002

In this paper, a teaching unit on series of number sentences with patterns is designed according to Wittmann's perspectives. In this paper, series of number sentences wish patterns means number sentences in which some patterns are contained. especially, seven kinds of number sentences wish patterns are offered as basic materials, and fifteen tasks based on these basic materials are offered. These tasks are for ninth grade students and higher grade students. These tasks heap students to recognize patterns, and to understand mechanism underlying in those patterns by looking for patterns and proving whether these patterns are generally hold. As working on these tasks, students can reinforce meaning of algebraic expression, its manipulation, and concept of number series. Students also can reinforce mathematical thinking such as analogical thinking, deductive thinking, etc. In this point, this teaching unit reveal important objectives, contents, and Principles of mathematics education. This teaching unit can also be rich sources for student's activities. Especially, for each task's level is different, each student's personal ability is considered fully. Since teachers can know mathematical facet, psychological facet, and didactical facet holistically, this teaching unit can offer broad possibilities for experimental studies. SD, this leaching unit can be said to be substantial. In this paper, this leaching unit is not applied in classroom directly. Actually such applying in classroom is suggested as follow-up studies. By appling this teaching unit in various classroom, some effective informations for teaching this teaching unit and some particular phenomenons in those teaching processes can be identified, and this teaching unit can be revised to be better one.

• Research in Mathematical Education
• /
• v.19 no.2
• /
• pp.89-100
• /
• 2015

The study investigated pre-service teachers' knowledge and computational skills by using Triangular Arithmagon. Participants included 90 pre-service teachers from two schools in the United States and Taiwan. The Triangular Arithmagons Test (TAT) was used to measure pre-service teachers' performance in whole number, fractions, and decimals operations (i.e., addition, subtraction, multiplication, and division), each of which included level-1 (basic) and level-2 (advanced) tests. MANOVA analysis was performed to compare the performance between teachers from the United States and Taiwan. Results indicated that overall, pre-service teachers in Taiwan outperformed those in the United States, especially on the advanced-level tests. Pre-service teachers in the United States were found to have poor ability of solving complex operation problems. Different curriculum plans and teaching methods may lead to the performance gap between the two countries.

• School Mathematics
• /
• v.3 no.2
• /
• pp.447-473
• /
• 2001

Since the greater part of mathematical concepts have been developed in the direction of “from the concrete and realistic aspects to the abstract level”, children should be secured to learn mathematics genetically with various manipulative materials. The aim of this study is to instigate the active use of geoboards in mathematics classroom. To achieve this arm, we first embodied the several significances on the use of geoboards in mathematics instruction. And we then performed an instruction that children discover and justify the formula related to the area of trapezoid by exploring with geoboards, and analyzed the instructional episode to support our assertion about some secure merit accompanied by using geoboards. From this study, we obtained the conclusion that geoboard activity contains many significances such as children can explore congruence, symmetry, similarity, fundamental properties of figures, and pattern. Futhermore, geoboard activity enable children to transform a figure into other equivalently, develop spatial sense, have basic experiences for coordinate geometry, build a concrete model to explain abstract ideas, and foster the ability of problem solving and mathematical thinking.

• Research in Mathematical Education
• /
• v.13 no.1
• /
• pp.23-30
• /
• 2009

How to promote creativity for all students in mathematics education is always a hot topic for mathematics educators. Based on the theory study and practice in the project "Open-ended Questions in Mathematics" granted by Ministry of Basic Education Curriculum Study Center in China, the paper reported the effect of "Open-ended Questions in Mathematics" on the way to change the development of thinking ability, to inspire students to develop thinking flexibility, to expand their imagination, to stimulate their interest in learning, and to foster students' creativity.

• Journal of Elementary Mathematics Education in Korea
• /
• v.20 no.1
• /
• pp.105-129
• /
• 2016

The elements of mathematical processes include mathematical reasoning, mathematical problem-solving, and mathematical communications. Proportion reasoning is a kind of mathematical reasoning which is closely related to the ratio and percent concepts. Proportion reasoning is the essence of primary mathematics, and a basic mathematical concept required for the following more-complicated concepts. Therefore, the study aims to analyze the proportion reasoning ability of sixth graders of primary school who have already learned the ratio and percent concepts. To allow teachers to quickly recognize and help students who have difficulty solving a proportion reasoning problem, this study analyzed the characteristics and patterns of proportion reasoning of sixth graders of primary school. The purpose of this study is to provide implications for learning and teaching of future proportion reasoning of higher levels. In order to solve these study tasks, proportion reasoning problems were developed, and a total of 22 sixth graders of primary school were asked to solve these questions for a total of twice, once before and after they learned the ratio and percent concepts included in the 2009 revised mathematical curricula. Students' strategies and levels of proportional reasoning were analyzed by setting up the four different sections and classifying and analyzing the patterns of correct and wrong answers to the questions of each section. The results are followings; First, the 6th graders of primary school were able to utilize various proportion reasoning strategies depending on the conditions and patterns of mathematical assignments given to them. Second, most of the sixth graders of primary school remained at three levels of multiplicative reasoning. The most frequently adopted strategies by these sixth graders were the fraction strategy, the between-comparison strategy, and the within-comparison strategy. Third, the sixth graders of primary school often showed difficulty doing relative comparison. Fourth, the sixth graders of primary school placed the greatest concentration on the numbers given in the mathematical questions.

• Communications of Mathematical Education
• /
• v.37 no.4
• /
• pp.615-633
• /
• 2023

This study analyzed Korean studies up to August 2023 to suggest the direction of future research on basic academic abilities in mathematics. For this purpose, frequency analysis and LDA-based topic modeling were conducted on the Korean abstracts of 197 domestic studies. The results showed that, first, 'academic achievement', 'impact', 'effect', and 'factors' were all ranked at the top of the TFs and TF-IDFs. Second, as a result of LDA-based topic modeling, five topics were identified: causes of basic academic abilities deficiency, learning status of math underachievers, teacher expertise in teaching math underachievers, supporting programs for math underachievers, and results of National Assessment of Educational Achievement. As a direction for future research, this study suggests focusing on the growth of math underachievers, systematizing the programs provided to students who need learning support in mathematics, and developing teacher expertise in teaching math underachievers.

• Korean Journal of Child Education & Care
• /
• v.18 no.4
• /
• pp.199-211
• /
• 2018

Objective: The purpose of this study is to examine the relative effects of young children's mathematical abilities and scientific abilities on intelligence. Methods: The object of this study is 100 five or six-years-old children in a kindergarten of S district in S city. I conducted analysis of partial correlation after controlled young children's age and sex to examine correlation between young children's mathematical abilities, scientific abilities and intelligence, also I used stepwise multiple regression analysis for inspecting the relative effects of young children's mathematical abilities and scientific abilities on intelligence. Results: Young children's intelligence is relative with mathematical abilities and scientific abilities, this relation is higher in 'measurement' and 'algebra' factors of mathematical abilities and 'predicting' factor of scientific abilities. Mathematical abilities bigger impact to the relative effects on young children's intelligence. Conclusion/Implications: On this, it is necessary that evenly providing the math and science activities in early childhood education field and home, and we have to consider the integrations of the process when provide the math and science integrated activities. This study has the significance to use basic line data when people plan the integrated math-science activities and develop program associated those by finding the relationship between mathematical abilities, scientific abilities and intelligence and evaluating the relative effects on intelligence.

• Education of Primary School Mathematics
• /
• v.13 no.2
• /
• pp.55-66
• /
• 2010

The basic direction of mathematical education for the 21st century is focused on helping student to understand mathematics and developing their problem solving abilities, mathematical disposition and mathematical thinking. Elementary mathematics teachers should help students make sense of mathematics, confident of their ability, and make learning environment comfortable for students to participate in. Through making activities 1 to 100 with digits 1,9,9,6, students improved the interest and preference of students about mathematics. This game is useful to foster students' mathematical thinking(concepts of exponential number expression, roots concept(${\sqrt}$), gauss function([])) and mathematical disposition. If students are helped to be interested in mathematics through mathematical games, they regard mathematics as interesting and challengeable subject to let themselves think many ways.