• Title/Summary/Keyword: mathematics skills

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Evaluating Achievement in Mathematics

  • Ediger, Marlow
    • The Mathematical Education
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    • v.23 no.2
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    • pp.5-11
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    • 1985
  • There arc numerous techniques available to appraise pupil achievement in elementary school mathematics. The teacher must utilize a variety of approaches to assess pupil growth in the mathematics curriculum. Each evaluation technique has its strengths as well as weaknesses. Thus, a specific evaluation technique may be utilized as a check on other approaches to appraisal. Pupil achievement must be assessed in terms of stated relevant understandings. skills, and attitudinal objectives. It is not adequate to appraise pupil growth in terms of understandings objectives only. Pupils must also be assessed in terms of skills objectives. The understandings acquired by learners must be utilized; thus, skills objectives need to be stressed adequately in ongoing units of study in elementary school mathematics. Adequate emphasis also needs to be placed upon pupils achieving attitudinal goals. Desireable attitudes on the part of learners aid in achieving understandings and skills objectives. A defensible program of evaluation would then stress that pupil achievement be adequately appraised in terms of understandings, skills, and attitudinal objectives.

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Types of Cognitive Strategies Related to Children's Creative Problem Solving Skills in Mathematics (아동의 수학 창의적 문제해결력과 관련이 있는 인지전략 유형 분석)

  • Lee, Hye Joo
    • Korean Journal of Child Studies
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    • v.28 no.6
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    • pp.169-182
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    • 2007
  • Creative problem solving skills in mathematics were measured by fluency, flexibility, and originality; cognitive strategies were measured by rehearsal, elaboration, organization, planning, monitoring, and regulating. The Creative Problem Solving Test in Mathematics developed at the Korea Educational Development Institute(Kim et al., 1997) and the Motivated Strategies for Learning Questionnaire(Pintrich & DeGroot, 1990) were administered to 84 subjects in grade 5(45 girls, 39 boys). Data were analyzed by Pearson's correlation, multiple regression analysis, and canonical correlation analysis. Results indicated that positive regulating predicted total score and fluency, flexibility, and originality scores of creative problem solving skills. Elaboration, rehearsal, organization, regulating, monitoring, and planning positively contributed to the fluency and flexibility scores of creative problem solving skills.

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Evaluation Factor related to Thinking Skills and Strategies based on Mathematical Thinking Process (수학적 사고 과정 관련의 평가 요소 탐색)

  • 황혜정
    • The Mathematical Education
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    • v.40 no.2
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    • pp.253-263
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    • 2001
  • Developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recent performance based on assessment has focused on the teaching and learning environment in school, emphasizing student's self construction of their learning and its process. Because of this reason, people related to mathematics education including math teachers are taught to recognize the fact that the degree of students'acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) should be estimated formally in math class. However, due to the lack of an evaluation tool for estimating the degree of their thinking skills, efforts at evaluating student's degree of mathematics thinking skills and strategy acquisition failed. Therefore, in this paper, mathematical thinking was studied, and using the results of study as the fundamental basis, mathematical thinking process model was developed according to three types of mathematical thinking - fundamental thinking skill, developing thinking skill, and advanced thinking strategies. Finally, based on the model, evaluation factors related to essential thinking skills such as analogy, deductive thinking, generalization, creative thinking requested in the situation of solving mathematical problems were developed.

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Exploring improvement of curriculum on analysis of the connectivity between competencies, skills and achievement standards in 2015 revised mathematics curriculum for elementary school (2015 개정 초등학교 수학과 교육과정 역량, 기능, 성취기준 연계성 분석을 통한 교육과정 개선 방안 탐색)

  • Lee, HwaYoung
    • The Mathematical Education
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    • v.59 no.4
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    • pp.357-371
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    • 2020
  • In the 2015 revised math curriculum, core competencies have been embodied and presented as skills and achievement standards. In this study, I analyzed aspects of the link between competencies, skills and achievement standards in the 2015 revised mathematics curriculum for elementary schools. According to the study, six mathematics curriculum competencies were presented evenly as 'skills' in each content area of elementary school, but reflected some of the sub-components of the curriculum, and some of them were presented as 'skills' but not as 'achievement standards'. In addition, the types of skills reflected in the achievement standards varied greatly by content area, but a few of specific skills such as 'understand' were found to be highly emphasized. Based on this, several implications were derived to further improve the implementation of competencies. First, 'skill' should be presented in a more systematic way and with more validity of extraction. Second, the extent to which competencies are presented in the achievement standards should be discussed. Third, Mathematics skills should be presented differently by grade(cluster) in achievement standards, 'Guidelines for Teaching and Learning' and 'Guidelines for Assesment'. Fourth, competencies related to content shall be presented separately and in detail.

Correlates of Logic Performance: The Relationship Between Logic Performance and General and Logical Reasoning Skills

  • Emin, Aydin;Yavuz, Erdogan;Safak, Ozcan
    • Research in Mathematical Education
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    • v.12 no.3
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    • pp.201-213
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    • 2008
  • The main purpose of this study is to explore the relationship between the 'logical reasoning skill' and performance in the logic unit that is part of the grade 9 syllabus in mathematics in Turkey. After the teaching of the logic unit, an achievement test, a general skills test and the test of logical reasoning were administered to the 80, 9th year high school students. Pearson Moments Correlation coefficient was used for the analysis of the data to determine the relations between the variables. In addition to that to obtain the most suitable regression explaining the students' performances in the logic unit, stepwise multiple regressions analysis was used. At the end of the study, statistically significant relations were found between the students' performance in the logic unit and their logical reasoning skills, their results of the shape recognition test from the general skills battery and their overall performance in the mathematics lesson.

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An Updated Evidence-based Practice Review on Teaching Mathematics to Students with Intellectual Disabilities

  • Alhwaiti, Mohammed M.
    • International Journal of Computer Science & Network Security
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    • v.22 no.5
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    • pp.255-265
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    • 2022
  • Educational programs for students with intellectual disabilities have undergone drastic changes in pursuit of the general curriculum. Accordingly, teachers in various fields, including mathematics, strive to find effective methods that enhance learning. The objective of this systematic review is to examine the field of teaching mathematics to students with intellectual disabilities to investigate relevant effective teaching strategies and required teaching skills. To achieve this goal, studies published during the period 2018-2021 were reviewed. Findings indicate the inclusion of nine studies that met the inclusion criteria out of 55 studies. The included studies found that the system of least prompts (SLP) in conjunction with feedback and error correction, and schema-based instruction are generally the most effective strategies in teaching mathematical skills to students with intellectual disabilities. Addition is the most targeted skill, followed by subtraction and algebra problem solving. The least targeted skills are multiplication, recognition of geometric shapes, calculating price after discount, rapid recognition of numbers, and rapid problem solving. The paper provides recommendations and suggests venues of future research.

An Analysis on the Students' Achievement in the 'Speed of Objects' Chapter based on the Integrated Science and Mathematics Classes for Elementary School Students (수학과 과학을 통합 지도한 초등학교 '물체의 속력' 수업에서 학생의 학습 성취 분석)

  • Jung, Hana;Jhun, Youngseok
    • Journal of Korean Elementary Science Education
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    • v.34 no.4
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    • pp.372-381
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    • 2015
  • Mathematics and science are very closely related. Among the science areas, physic is strongly linked with mathematics. As the related mathematics skills were alloted later than the science contents in the national curriculum, students often suffer from science classes. Accordingly, an opinion have been claimed to teach the related mathematics skills prior to the science classes. However, it would be hard to arrange all science and mathematics contents in order. Instead of that, in this research, we taught students mathematics contents that are crucial for learning speed through science classes. We called that teaching strategy an integrated science and mathematics class. Then, we examined students' achievement in science as well as skills of mathematics to know the effectiveness of the strategy. We found that the average mathematics score of the whole class went up meaningfully. We also found that their science achievement was above than basic level. Moreover, the homeroom teacher of the students observed 3 aspects which showed the students were better than previous students. Finally, we divided the students into 4 groups by their science and mathematics achievement score and interviewed each group. As a result, we knew that interesting and confidence in science and mathematics quite exerted influence on their achievement.

The Effects of Robot Based Mathematics Learning on Learners' Attitude and Problem Solving Skills (로봇 활용 수학학습이 학습태도 및 문제해결능력에 미치는 영향)

  • Park, Jung-Ho;Kim, Chul
    • The Journal of Korean Association of Computer Education
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    • v.13 no.5
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    • pp.71-80
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    • 2010
  • A lot of studies in and outside the country says that robots can become an effective tool in developing creativity, problem solving skills and positive learning motivation in the knowledge and information era. This study aims to verify the educational effect of robots in mathematics education by applying robots to mathematics education as a learning tool in an effort to improve the teaching/learning environment. For this study, the mathematics curriculum of elementary school and robot programming were analyzed and then a robot integrated mathematics program was developed. The developed program was applied to the mathematics education of an elementary school year 5 over 16 times. The result of the study showed that the experimental group which used the robot integrated program has better learning attitude and problem solving skills than the group which used the traditional method. The result also showed that the mathematics activities that used robot programming contributed to developing problem solving skills and provided positive mathematics learning experience.

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How to Teach Algorithms\ulcorner (알고리즘, 어떻게 가르칠 것인가\ulcorner)

  • 조완영
    • The Mathematical Education
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    • v.39 no.1
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    • pp.49-58
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    • 2000
  • The purpose of this study is to investigate how to teach algorithms in mathematics class. Until recently, traditional school mathematics was primarily treated as drill and practice or memorizing of algorithmic skills. In an attempt to shift the focus and energies of mathematics teachers toward problem solving, conceptual understanding and the development of number sense, the recent reform recommendations do-emphasize algorithmic skills, in particular, paper-pencil algorithms. But the development of algorithmic thinking provides the foundation for student's mathematical power and confidence in their ability to do mathematics. Hence, for learning algorithms meaningfully, they should be taught with problem solving and conceptual understanding.

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Developing Metacognitive Skills of Mathematics Learners

  • KAUR, Berinderjeet;BHARDWAJ, Divya;WONG, Lai-Fong
    • Research in Mathematical Education
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    • v.20 no.1
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    • pp.21-29
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    • 2016
  • Metacognition means "thinking about one's own thinking". There are generally two aspects of metacognition: i) Reflection - thinking about what we know; and ii) Self-regulation - managing how we go about learning. Developing metacognitive abilities is not simply about becoming reflective learners, but about acquiring specific learning strategies as well. There are several strategies that may be used by teachers to develop metacognitive skills amongst learners. As part of a Professional Development project secondary school mathematics teachers have been developing their knowledge and skills to teach for metacognition. In this paper we analyze two lessons presented by groups of teachers in the project and tease out similarities and differences between the lessons that afford or hinder the development of metacognitive skills of learners.