• Title/Summary/Keyword: Mathematics assessment

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Revisited: Formative Assessment, Performance Assessment, and Process-Focused Assessment (형성평가, 수행평가, 과정중심평가에 대한 재고찰)

  • Lee, Ji Woon;Noh, Jihwa
    • East Asian mathematical journal
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    • v.36 no.4
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    • pp.515-535
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    • 2020
  • The 2015 revised mathematics curriculum had newly introduced the term 'process-focused assessment'. The official document, however, did not offer an explicit definition of the new term, but only by virtue of narrative. This has encouraged practitioners and researchers to figure out themselves what it is and how it differs from those in use, formative assessment and performance assessment in particular, in use. In consequence, many versions of interpretation, all of which are not necessarily consistent, have been developed and implemented in schools, This, in turn, still has created a chaotic situation carrying out the process-focused assessment. This study attempted to make the meaning of the process-focused assessment more explicit by conducting a comprehensive review of the related literature, for implementing it in its intended way.

제7차 교육과정을 회상하여 바람직한 수학교육 교수-학습의 고찰

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.23 no.3
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    • pp.361-370
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    • 2007
  • The notion of problem-solving in mathematics education effects mathematics teachers notice and its importance in mathematics is getting better. The purpose of this thesis is to consider the mathematical reasoning for improving the ability of problem solving. It is necessary that notion, enforcement method, procedure and evaluation standard of performance assessment should be explained to students. The teachers, improvements of specialty for class and evaluation as well as systematic reeducation for performance assessment are essential.

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A Study on Alignment of Assessment with Curriculum and Instruction in Mathematics Education : A Synthesis of Research (평가와 교육과정 및 교수방법의 일관성에 관한 연구: 연구의 종합)

  • Oh Young Youl
    • Journal of Educational Research in Mathematics
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    • v.13 no.2
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    • pp.107-122
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    • 2003
  • The present study aims at theoretically reviewing studies en the need of alignments among assessment, curriculum and instruction in order to implement the goals of mathematics education. This paper discusses about issues and models fer alignment between instruction and curriculum, and then mainly focuses on alignment of assessment with instruction and curriculum at two levels, classroom and large-scale assessment. It was pointed out that both many published standardized tests for large-scale assessment and classroom assessments failed to meet curricular goals and contents, and instructional methods. The findings imply that reform in mathematics education should not be driven by assessment, but be embedded in instructional practices.

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In Search of Improvement Schemes on Textbooks and Teacher Guide Books for Low Achievement Students in Mathematics : A Careful Analysis of the Results of Korean Elementary 3 Grade Students National Diagnosis Assessment on Basic Scholastic Ability in Area of Mathematics (수학 기초학력 부진아 지도를 위한 교과서 및 교사용 지도서의 개선 방안 탐색 - 초3 국가수준 기초학력 진단평가 기초 수학 결과 분석 -)

  • Cho Young-Mi
    • School Mathematics
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    • v.8 no.1
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    • pp.69-88
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    • 2006
  • It is well known that the low achievement students are easily affected by the ways how the materials are organized and presented. So the studies on trying to find how those students' responses are differed according to the organization or presentation of the materials are necessary. This paper was based on the results of Korean Elementary 3 Grade Students National Diagnosis Assessment on Basic Scholastic Ability in area of mathematics. We analyzed students responses through combining the percents of correct answers with the assessment items. After that, we identified the properties of low achievement students in mathematics and presented some guides which, we thought, are helpful for improvements of mathematics textbooks and teacher guide books.

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A Survey of the Teachers' Perception and the Status about the Descriptive Evaluation in Elementary School Mathematics (초등 수학과 서술형 평가 적용을 위한 기초조사연구)

  • Kim, Min-Kyeong;Kwon, Jum-Rye;Noh, Sun-Sook;Joo, You-Ri;You, Hai-Jin
    • School Mathematics
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    • v.10 no.3
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    • pp.401-422
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    • 2008
  • In the current school curriculum, an alternative assessment method which focuses more on the problem solving process rather than the final solution is being investigated. The goal is to evaluate students' understanding of the subject. A descriptive evaluation is being suggested as a way of examining the thought process of the students by a structured analysis of the problem solving process. But currently, there are not enough descriptive problems available for teachers to effectively carry out the alternative assessment method in the elementary school mathematics curriculum. In this research, we surveyed 197 elementary school teachers in Seoul to determine the status of descriptive evaluation in elementary school mathematics and to understand the teachers perception about the new assessment method. The goal of the survey was to find an effective implication of the new assessment method in elementary mathematics classes. The research showed that the elementary teachers use this assessment method about 4 to 7 times per month in their classes. They give descriptive problem test anytime they think it is appropriate during the Instruction of the topic. More than 90% of the teachers were using this assessment method to improve students' creativity and mathematical thinking. The teachers in the survey also commented that the teachers' administrative responsibility should be reduced and that the school environment in general should be improved for the new assessment method to be successful. Finally the study also showed that development of more descriptive problems in each grade level is needed to progress the new assessment method.

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A Study on the Effectiveness of LMS for Improving College Student's Mathematics Performance using a Propensity Score Matching Method

  • Heejoo PARK;Sunyoung BU;Jihoon RYOO
    • Educational Technology International
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    • v.25 no.1
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    • pp.67-92
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    • 2024
  • This study aims to verify the practical effectiveness of learning management system (LMS) by introducing a LMS enhancing digital assessment utilizing automatic item generation in order to strengthen college student's mathematics performance. Teaching assisted with digital assessment in the LMS was applied to college mathematics classes, and the research question is whether or not students in the classes utilizing the LMS perform better than the regular classes. In particular, a calculus course, which is the foundation of important artificial intelligence technology in the future, was utilized in this study. The participants of this study were 248 freshmen in science and engineering who were taking calculus courses at a small to mid-size university. A total of 156 freshmen were selected after applying a propensity score matching method (PSMM), 78 from classes utilizing the LMS and 78 from regular classes without the LMS assisted with the digital assessment. As a result, it was found that there was a statistically significant difference in the math academic growth of students who used the LMS and those who did not. In other words, when LMS was used in calculus, students' academic growth was greater. The results of this study are meaningful in that they observed students' academic growth and confirmed that LMS enables a positive role in students' academic growth. In addition, if digital assessment is strengthened and LMS that enables individualized learning analysis is introduced and implemented in educational institutions, it is expected to play a major role in strengthening students' academic performance.

Analysis of the Korean Students' Responses on Mathematics Items in PISA 2003 (PISA 2003 수학 문항 정답률 분석)

  • Na, Gwi-Soo
    • School Mathematics
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    • v.7 no.3
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    • pp.221-235
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    • 2005
  • This study intends to examine the Korean students' responses on mathematics items in PISA 2003(Programme for International Student Assessment 2003). In particular, we study the mathematics items with low percentage of correct answers, and discuss the reasons of low percentage of correct answers of Korean students. In addition to we investigate the students' misconceptions in mathematics. Finally, we suggest the implications for improving the teaching and learning of the relevant mathematics con-tents.

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A Note on the Use of Peer Assessment to Improve Pupil's Performance

  • Lee, Kyung-Koo;Mun, Gil-Seong;Ahn, Jeong-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.2
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    • pp.443-450
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    • 2008
  • Peer assessment is the process of assessment of students by other students and one form of innovative assessment. It actively involves students in the assessment process and is generally agreed that such involvement enhances the quality and effectiveness of the learning process, since assessing something and benchmarking process is a powerful aid to mastering it themselves. It is more effective on the hard courses for them to understand. In this article we present a peer assessment technique which was applied to students enrolled in a mathematical statistics course and a historical course. In order to measure the effectiveness of the technique, students had to evaluate their colleagues based on predefined criteria and a comparison is presented between the instructor assessments and the peer assessment.

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Comparative analysis of the Korean mathematics curriculum contents based on the TIMSS 2019 mathematics assessment framework (TIMSS 2019 수학 평가틀에 기반한 우리나라 수학과 교육과정 내용 비교 분석)

  • Choi, In Seon
    • Journal of the Korean School Mathematics Society
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    • v.23 no.4
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    • pp.449-468
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    • 2020
  • TIMSS is a representative international comparative study that analyzes changes in mathematics and science achievement, and it collects information on the educational system, curriculum, teaching and learning situation of participating countries as well as research and check, and provides implications for each country's mathematics and science education. Although domestic TIMSS studies focused on the results of achievement related to the evaluation of mathematics, not many have taken a closer look at the content and characteristics of the assessment framework. Therefore, the purpose of this study was to analyze the characteristics of the TIMSS 2019 mathematics assessment framework, and to derive implications for the mathematics curriculum and mathematics learning by examining the students' study time in light of the Korean mathematics curriculum. The implications derived from the results of this study are summarized as follows: First, it is necessary to check the connection between content elements in the mathematics and education process. Second, it is necessary to check the appropriateness and connectivity of the learning timing of the content elements in the mathematics and education courses. Finally, it is necessary to verify that the hierarchy of content areas and the structure of content systems in mathematics and education courses are consistent with the direction of mathematics education at the international level. This study can be used as a basis for mathematics and curriculum revisions, and can be used to set directions for the development of large-scale evaluation frameworks.

Development and Application of Assessment Items for the Diagnosis of Difficulties in Learning Elementary Mathematics (초등학교 수학 학습 어려움 진단을 위한 평가 문항 개발 및 적용 연구)

  • Kim, Hee-jeong;Cho, Hyungmi;Ko, Eun-Sung;Lee, Donghwan;Cho, Jinwoo;Choi, Jisun;Han, Chaereen;Hwang, Jihyun
    • Journal of the Korean School Mathematics Society
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    • v.25 no.3
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    • pp.261-278
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    • 2022
  • The purpose of this study is to develop an assessment to diagnose difficulties in learning mathematics and misconstructions that elementary students have. With thorough theoretical background and analysis of mathematics curriculum documents, we established learning trajectories for the following content areas in grades 3 to 6: number and operation, regularity, data and chance, geometry, and measurement. Then, the research team created the assessment items targeting a specific stage in the learning trajectories and including item options to identify possible misconceptions. Based on the unified validity theory, we reported the detailed procedure of the assessment development and the evidence for the content, substance, and structural validity of the assessment. We collected the data of 675 elementary students. Rasch measurement modeling was applied, and Cronbach's alpha was estimated. We considered how to report students' assessment results to teachers appropriately and immediately, which suggested important implications for supporting teaching and learning mathematics in elementary schools. We also suggested how to use the assessment developed in this study in online and distance learning environments due to the COVID-19 pandemic.