• Title/Summary/Keyword: Cognitive Development of Mathematical Concepts

Search Result 14, Processing Time 0.017 seconds

The Development and Validation of the Survey of Students' Affective Characteristics in the Non-Cognitive Domain of Mathematics Learning (수학학습 정의적 영역 검사 도구 개발 연구)

  • Lee, Hwan Chul;Kim, Hyung Won;Ee, Ji-hye;Yi, Hyun Sook;Ko, Ho Kyoung
    • School Mathematics
    • /
    • v.19 no.2
    • /
    • pp.267-287
    • /
    • 2017
  • Fostering students' positive affect related to mathematics such as attitudes toward mathematics and dispositions toward learning mathematical concepts is one of the major goals of school mathematics programs. In this study, we collected data from students at the 4-1 grade levels to develop an instrument that measures students' affect regarding mathematics learning. To develop the instrument, we first conducted focus group interviews, which we recorded, transcribed, and analyzed. We sorted the results according to seven components of the non-cognitive domain of mathematics learning, which drew from taxonomical constructs of previous research. We then conducted a pilot study in which we administered the instrument as a pretest and a posttest. We chose the final items based on confirmatory factor analysis and a reliability test of the pre and posttest scores. The final instrument contains 24 items, which are classified according to the seven components: interest, attitudes, value, external motivation, internal motivation, learning conation, and efficacy. We anticipate this instrument will be useful for studies that need to measure students' non-cognitive characteristics in relation to learning mathematics.

Development and Application of STEAM Education Model centered on Mathematics Subject using Real-life Context (실생활 맥락을 활용한 수학교과 중심의 STEAM 교육 모형 개발 및 적용)

  • Ban, Eun-seob
    • Communications of Mathematical Education
    • /
    • v.32 no.3
    • /
    • pp.341-362
    • /
    • 2018
  • The purpose of this study is to develop a STEAM education model on the basis of mathematics curriculum using real life context, and to analyze the effect of the class based on developed model to make applicable pedagogical discussion. For this purpose, STEAM class materials that can be used in terms of recognition, connection, extension, and application of mathematical concepts, principles and laws are considered, taking into consideration the ways in which real life contexts and mathematical learning could be harmonized. As a results of using these materials, it was empirically confirmed that students' cognitive thinking and affective aspects abilities were improved. The STEAM instruction centered on the mathematics curriculum and the mathematics class based on the data developed in this study have a unique identity compared to the conventional general mathematics teaching methods using the textbooks. And it is pursuing the future class model which could present desirable creativity and personality education. The result of this study would provide preliminary data and meaningful implications to the researchers for next curriculum and concomitant instructional materials as well as the mathematics teachers.

Material Development of 'Silver Math' for Educating the Aged and Examination of its Effectiveness (노인교육으로서의 실버수학 자료개발 및 효과성 연구)

  • Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
    • /
    • v.13 no.3
    • /
    • pp.459-483
    • /
    • 2010
  • This study aims to develop materials related to math education for the aged and to identify the effects of application as part of active measures to the aging society with its growing elderly population which is one of the greatest changes in our society. In this purpose, the necessity and objectives for development of materials of 'Silver Math' as education for the aged are explained. Developing and disseminating materials with a role as a program for intelligent needs and physical and spiritual health of the aged presents standards for development of more systemic and meaningful educational materials at this point of time when the importance of education of the aged increases to help the old enjoy qualitatively successful lives in later years in the perspective of lifelong education. Also it aims to present standards of contents and requirements in learning that are adequate and meaningful to old learners at the actual learning sites where education takes place only in terms of making good use of spare time while at the same time suggesting plans of teaching and learning as well as conditions for learning environment. Next, the effectiveness of 'Silver Math' are explored by applying developed materials to the aged. materials of 'Silver Math' for the aged with contents that are appropriate to the definitive and cognitive level of the aged are presented. The developed materials for mathematical activities are divided into 'computation of basic numbers' for those wishing to learn calculation and concepts of numbers, 'active math' that corresponds to definitive factors of old learners, facilitates leisure time through mathematical activities, and Improves communication abilities through cooperative learning among learners, and 'math with thinking power' to solve simple calculation problems by applying to various actual situations.

  • PDF

Student Understanding of Scale: From Additive to Multiplicative Reasoning in the Constriction of Scale Representation by Ordering Objects in a Number Line (척도개념의 이해: 수학적 구조 조사로 과학교과에 나오는 물질의 크기를 표현하는 학생들의 이해도 분석)

  • Park, Eun-Jung
    • Journal of The Korean Association For Science Education
    • /
    • v.34 no.4
    • /
    • pp.335-347
    • /
    • 2014
  • Size/scale is a central idea in the science curriculum, providing explanations for various phenomena. However, few studies have been conducted to explore student understanding of this concept and to suggest instructional approaches in scientific contexts. In contrast, there have been more studies in mathematics, regarding the use of number lines to relate the nature of numbers to operation and representation of magnitude. In order to better understand variations in student conceptions of size/scale in scientific contexts and explain learning difficulties including alternative conceptions, this study suggests an approach that links mathematics with the analysis of student conceptions of size/scale, i.e. the analysis of mathematical structure and reasoning for a number line. In addition, data ranging from high school to college students facilitate the interpretation of conceptual complexity in terms of mathematical development of a number line. In this sense, findings from this study better explain the following by mathematical reasoning: (1) varied student conceptions, (2) key aspects of each conception, and (3) potential cognitive dimensions interpreting the size/scale concepts. Results of this study help us to understand the troublesomeness of learning size/scale and provide a direction for developing curriculum and instruction for better understanding.