• School Mathematics
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• v.2 no.1
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• pp.203-241
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• 2000

This study aims to suggest a model of task development for mathematics performance assessment and to develop performance tasks for the fifth graders in the primary school on the basis of this model. In order to achieve these aims, the following inquiry questions were set up: (1) to develop open-ended tasks and projects for the fifth graders, (2) to develop checklists for measuring the abilities of mathematical reasoning, problem solving, connection, communication of the fifth graders more deeply when performance assessment tasks are implemented and (3) to examine the appropriateness of performance tasks and checklists and to modify them when is needed through applying these tasks to pupils. The consequences of applying some tasks and analysing some work samples of pupils are as follows. Firstly, pupils need more diverse thinking ability. Secondly, pupils want in the ability of analysing the meaning of mathematical concepts in relation to real world. Thirdly, pupils can calculate precisely but they want in the ability of explaining their ideas and strategies. Fourthly, pupils can find patterns in sequences of numbers or figures but they have difficulty in generalizing these patterns, predicting and demonstrating. Fifthly, pupils are familiar with procedural knowledge more than conceptual knowledge. From these analyses, it is concluded that performance tasks and checklists developed in this study are improved assessment tools for measuring mathematical abilities of pupils, and that we should improve mathematics instruction for pupils to understand mathematical concepts deeply, solve problems, reason mathematically, connect mathematics to real world and other disciplines, and communicate about mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.907-935
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• 2010

The purpose of this study was to investigate the effects of using open-ended problems in ability-level activities in mathematics instruction and to draw some informative conclusions in order to improve the practice of teaching and learning mathematics in the elementary school. To fulfill the purpose, the research questions were established as follows: 1. Is there any difference between the academic achievements of the experimental group(doing ability-level activities using open-ended problems) and the control group(doing general ability-level activities)? 2. Which sub-group(grouped by achievement score in pretest) get affected most by ability-level activities using open-ended problem in the experimental group? 3. What kinds of responses do students show in their ability-level activities using open-ended problems? By applying t-test and analysing the response, the conclusions were drawn as follows: First, using open-ended problems in ability-level activities has positive effects on the academic achievement of the experiment group. The mean of posttest scores of the experiment group was statistically meaningfully higher(p<.05). Second, using open-ended problems in ability-level activities affect most to the achievement of lower sub-group in the experiment group. The mean of posttest scores of lower sub-group in the experiment group was statistically meaningfully higher than that of control group(p<.05). Third, students showed various and creative response in their ability-level activities using open-ended problems.

• Journal for History of Mathematics
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• v.27 no.5
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• pp.347-364
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• 2014

This study aims at what is required knowledge and ability to pre-service math teachers in teacher certificate examination. First, the items are analyzed and among questions of discipline of mathematics education in the last five years are analyzed and classified. Second, an analytical framework suitable for item analysis is examined and the items are analysed by the analytical framework. Finally, helpful implications for discipline of mathematics education assessment can be drawn from this study. It is found that the discipline of mathematics education assessment has the following characteristics: 1) It assesses specific content of the assessment component; 2) It assesses a teacher's theoretical knowledge, practical knowledge and creative knowledge in terms of teaching ability; 3) There are six cognitive assessments; 4) There is an item for difficulty adjustment.

• Communications of Mathematical Education
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• v.30 no.2
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• pp.161-178
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• 2016

Mathematics problem based learning(PBL), which has recently attracted much attention, is a teaching and learning method to increase mathematical ability and help learning mathematical concepts and principles through problem solving using students' mathematical prerequisite knowledge. In spite of such a quite attention, it is not easy to apply and practice PBL actually in school mathematics. Furthermore, the recent instructional situations or environments has focused on student's self construction of their learning and its process. Because of this reason, to whom is related to mathematics education including math teachers, investigation and recognition on the degree of students' acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) is an very important work. Thus, developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recently, connection or integration of one subject and the other subject in school is emphasized, and then mathematics might be one of the most important subjects to have a significant role to connect or integrate with other subjects. While considering the reason is that the ultimate goal of mathematics education is to pursue an enhancement of mathematical thinking ability through the enhancement of problem solving ability, this study aimed to implement basically what is the meaning of the integrated thinking ability in problem based learning theory in Mathematics. In addition, using historical materials, this study was to develop mathematical materials and a sample of a concrete instructional guideline for enhancing integrated thinking ability in problem based learning program.

• Journal of The Korean Association For Science Education
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• v.31 no.8
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• pp.1110-1120
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• 2011

The purpose of this study was to investigate teachers' perceptions of gender differences in students' mathematics and science learning ability. The sample included 289 elementary and secondary school gifted teachers. The teachers filled out the survey, asking their perceptions of gender differences in mathematics and science learning ability, as well as of the reasons of the differences. The results were as follows: 1) 65% of the teachers responded that gender differences existed in students' mathematics and science learning ability, 2) 63% of the teachers perceived that the differences began around higher elementary or middle school ages, 3) 57% of the teachers thought that gender differences existed in the high-achieving student group. Teachers perceived the reasons of differences were 1) differences in inborn ability, 2) the different expectation, and 3) the different ways of parental cares. Since teachers' perceptions of students' ability would impact teachers' attitudes on students, implications and suggestions were included in this article to provide teachers insights that promote students' better learning.

• Education of Primary School Mathematics
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• v.16 no.3
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• pp.303-313
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• 2013

Spatial ability has been valued as one component of intelligence and associated with the achievements in science, technology, engineering, and mathematics (STEM) disciplines and important in STEM education. The purpose of this study is to assess elementary school students' spatial ability and analyze the relationship with mathematical achievement, gender and grade level. This study explored the spatial visualization ability of 1288 elementary school students (grade 4-6) in Seoul and Gangwon province and investigated association between spatial ability and students' mathematics achievement, the students' spatial ability according to their gender and grade level. As a result, this study showed that there were significant correlations between spatial ability and mathematical achievement. And also, boy students were better than girl students in spatial ability and higher grader were better than lower graders in spatial ability. According to these results, spatial ability should be included as one of the important components in identifying students for gifted education programs. Furthermore, more research is needed on how to effectively structure educational opportunities to students both who have high spatial ability and have low spatial ability.

• School Mathematics
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• v.1 no.1
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• pp.187-216
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• 1999

The purpose of this study is to develop mathematics performance assessment items for the 8th graders and to analyze their performance ability. First, five-themes were selected : 'Calculator', 'Cut and Paste', 'Rule finding', 'Place Assignment', 'My thinking'. Then, the assistance of Mathematics education specialists and Teachers, 10 P. A. items consisting of two subtasks and their evaluation rubric were developed. Then, items were revised by the results of pilot test. And, final version of items were administrated to the 8th graders of three regions(Seoul, Chongiu, Chungp$\acute{y}$ong). Through analyzing the performance ability of the subjects assessment items, the following conclusion were obtained: They were very insufficient in the ability to find some patterns in the given problem situation and to describe logically the patterns in terms of mathematical terminology. It is believed because they were familiar with the objective test to take one or short answer.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.595-618
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• 2010

To grow as talents with future oriented knowledge and creativity, students need imaginative power and creativeness, and to that end, mathematics and science subjects may help. Students need activities that help gain explorative mind for new things, concentrating ability, researching ability and creativeness, and such attributes can be improved through the activities of making various shapes utilizing space geometry in 4D-frame. Such activities not only contribute to defining ability in mathematics but also cherish the qualifications required as architects and space scientists.

• Education of Primary School Mathematics
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• v.8 no.2 s.16
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• pp.61-68
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• 2004

The purpose of this study is to develope and analyze the assessment items which can be used in evaluation of the fraction computation ability for fifth grade students. The item development team consists of three elementary school teachers and three mathematics education expert. The developed items was analyzed item analysis after applying to 135 fifth grade students. As a results of item analysis, it shows meaningful over the level of a standard basis: reliability: 0.80; validity: item 1(1.05), item 2(1.10), item 3(.85), item 4(.90), item 5(1.08); item difficulty: item 1(-.22), item 2(-.41), item 3(.23), item 4(.40), item 5(-.01); item discrimination: item 1(.73), item 2(.73), item 3(.67), item 4(.51), item 5(.56). This means that the test tool could be useful in the evaluation of the fraction computation ability.

• Journal of Engineering Education Research
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• v.16 no.1
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• pp.54-63
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• 2013

This study aims to investigate relationships among self-directed learning readiness [SDLR], prerequisite mathematics test score and achievement level in college mathematics. For this purpose, the adjusted SDLRS (self-directed learning readiness scale) of Guglielmino's model, the score of mathematics diagnostic assesment and first semester college mathematics score among 424 freshmen students of engineering department of D university in 2011 were used and analyzed. Research results are as follows: Firstly, freshmen of engineering department had average level of SDLR, though they showed relative low level of self-direction, passion and time control ability. Secondly, considering SDLR with the mathematics diagnostic assesment score (3 groups: high, middle, low), there were no statistically significant differences. Thirdly, concerning SDLR according to the achievement level in college mathematics, a group which acquired good achievement showed higher level of SDLR compared with middle or lowachievement group. Differences among three groups were statistically significant. Lastly, there were affirmative relationships between SDLR, mathematics diagnostic assesment score and achievement in college mathematics. Furthermore, mathematics diagnostic assesment score and achievement level in college mathematics were found to be the most closely related. Based on the results, we suggest strategies to elevate SDLR of engineering department students and improve their achievement in college mathematics.