• Education of Primary School Mathematics
• /
• v.17 no.2
• /
• pp.95-111
• /
• 2014

The purpose of this study is to determine the relationship between metacognition and math creative problem solving ability. Specific research questions set up according to the purpose of this study are as follows. First, what relation does metacognition has with creative math problem-solving ability of mathematically gifted elementary students? Second, how does each component of metacognition (i.e. metacognitive knowledge, metacognitive regulation, metacognitive experiences) influences the math creative problem solving ability of mathematically gifted elementary students? The present study was conducted with a total of 80 fifth grade mathematically gifted elementary students. For assessment tools, the study used the Math Creative Problem Solving Ability Test and the Metacognition Test. Analyses of collected data involved descriptive statistics, computation of Pearson's product moment correlation coefficient, and multiple regression analysis by using the SPSS Statistics 20. The findings from the study were as follows. First, a great deal of variability between individuals was found in math creative problem solving ability and metacognition even within the group of mathematically gifted elementary students. Second, significant correlation was found between math creative problem solving ability and metacognition. Third, according to multiple regression analysis of math creative problem solving ability by component of metacognition, it was found that metacognitive knowledge is the metacognitive component that relatively has the greatest effect on overall math creative problem-solving ability. Fourth, results indicated that metacognitive knowledge has the greatest effect on fluency and originality among subelements of math creative problem solving ability, while metacognitive regulation has the greatest effect on flexibility. It was found that metacognitive experiences relatively has little effect on math creative problem solving ability. This findings suggests the possibility of metacognitive approach in math gifted curricula and programs for cultivating mathematically gifted students' math creative problem-solving ability.

• Communications of Mathematical Education
• /
• v.10
• /
• pp.487-504
• /
• 2000

앞으로의 수학교육은 직관과 조작 활동에 바탕을 둔 경험에서 수학적 형식, 관계, 개념, 원리 및 법칙 등을 이해하도록 지도되어야 한다. 따라서 추상적인 수학적 지식을 다양한 수학 교육공학 매체와 적합한 상황과 대상을 제공할 수 있는 컴퓨터 응용소프트웨어를 활용하여, 실제 수업에서 학생 스스로 시각적${\cdot}$직관적으로 개념을 재구성할 수 있도록 여러 가지 도입 및 전개 방안을 제시하고자 한다.

• The Mathematical Education
• /
• v.62 no.3
• /
• pp.341-362
• /
• 2023

This study analyzed student noticing in a lesson that emphasized relational understanding of equal signs for first graders from four aspects: centers of focus, focusing interactions, mathematical tasks, and nature of the mathematical activity. Specifically, the instructional factors that emphasize the relational understanding of equal signs derived from previous research were applied to a first-grade addition and subtraction unit, and then lessons emphasizing the relational understanding of equal signs were conducted. Students' noticing in this lesson was comprehensively analyzed using the focusing framework proposed in the previous study. The results showed that in real classroom contexts centers of focus is affected by the structure of the equation and the form of the task, teacher-student interactions, and normed practices. In particular, we found specific teacher-student interactions, such as emphasizing the meaning of the equals sign or using examples, that helped students recognize the equals sign relationally. We also found that students' noticing of the equation affects reasoning about equation, such as being able to reason about the equation relationally if they focuse on two quantities of the same size or the relationship between both sides. These findings have implications for teaching methods of equal sign.

• Communications of Mathematical Education
• /
• v.14
• /
• pp.229-250
• /
• 2001

협동 학습은 학습자간의 긍정적 상호 작용을 촉진하여 학습의 극대화를 도모하고자 하는 수업 방법으로, 수학 과목에서 협동 학습은 수학에 대한 성취도, 태도, 문제 해결력 등 인지적, 정의적 영역에서 긍정적인 효과를 나타내고 있다. 이에 본고에서는 수학 과목에서 협동학습에 대한 국${\cdot}$내외의 연구 동향을 살펴보고, 중학교 학생들의 학습양식과 수학성취도와의 관계를 조사하여 학습양식에 따라 소집단을 구성한 수학에서의 협동 학습을 모색하고자 한다.

• Communications of Mathematical Education
• /
• v.18 no.1 s.18
• /
• pp.157-171
• /
• 2004

본 연구에서는 수학일지 쓰기가 중학생의 수학적 태도에 미치는 영향을 조사하기 위해서 연구 대상 반을 선정하여 수학적 태도에 관한 설문 조사를 실시하고 고안된 수학 일지를 쓰도록 한 후 수학 성적이 상 및 하에 속하는 각 3명을 대상으로 두 차례 실시한 인터뷰 자료와 인터뷰 당시 연구자가 느낀 점을 적은 메모를 바탕으로 학생들의 수학일지 쓰기에 대한 인식을 분석하는데 그 목적이 있다. 본 연구에 따르면 수학일지 쓰기는 학생들의 수학적 태도, 수학 학습에 긍정적인 영향을 주었고 교사-학생간의 관계와 교사에게 긍정적인 영향을 주었다. 후속 연구에서는 충분한 사전 조사로 일지 쓰기의 횟수와 시간을 잘 결정하고 연구 기간을 충분히 잡아 학생들의 변화를 지속적으로 관찰하며 평가와의 연계로 학생들의 적극적인 참여를 유도할 필요가 있다고 본다.

• Journal of Elementary Mathematics Education in Korea
• /
• v.24 no.1
• /
• pp.31-52
• /
• 2020

This study aimed to examine the relationships among elementary mathematics teachers' self-efficacy beliefs, constructivist beliefs, and years of experience. This study used the primary data set of 299 Korean elementary school teachers. Exploratory and confirmatory factor analysis, Pearson's correlation test, multivariate analysis of variance, and structural equation modeling were conducted. This study found that mathematics teachers' self-efficacy beliefs were positively related to their years of experience and constructivist beliefs, whereas there was no significant association between teachers' years of experience and constructivist beliefs. Additionally, teachers' self-efficacy beliefs significantly mediated the relationship between years of experience and constructivist beliefs.

• Communications of Mathematical Education
• /
• v.15
• /
• pp.71-76
• /
• 2003

학생들의 분수 나눗셈에 대한 이해는 개념적 이해를 바탕으로 수행되어야 함에도 불구하고 분수 나눗셈은 많은 학생들이 기계적인 절차적 지식으로 획득할 가능성이 높은 내용이다. 이것은 학생들이 학교에서 분수 나눗셈을 학습할 때에 일상생활에서의 경험과 선행 학습과의 연결이 잘 이루어지지 못하고 있는 것에 큰 원인이 있다고 본다. 본 연구에서는 학생들의 분수 나눗셈의 개념적 이해를 돕기 위하여 경험적 지식과의 연결 관계를 활용한 교수 방안을 실험 교수를 통해 조사하였다. 결과로서 번분수를 활용한 수업은 분수 나눗셈의 표준 알고리즘이 수행되는 이유를 알 수 있게 하는데 도움이 되나 여러 가지 절차적 지식이 뒷받침되어야 하며 분수 막대를 직접 잘라 보는 활동을 통한 수업은 분수 나눗셈에서의 나머지를 이해하는데 효과가 있다는 것을 알았다. 결론적으로, 학생들의 경험과 학교에서 이미 학습한 분수 나눗셈들의 관련 지식들을 적절히 연결하도록 한다면 수학적 연결을 통해 분수 나눗셈의 개념적 이해를 이끌 수 있다.

• Communications of Mathematical Education
• /
• v.10
• /
• pp.81-96
• /
• 2000

국민형 pc의 보급, 학습자의 자기 주도적 학습능력을 향상을 위한 제7차 교육과정의 실현이 바로 앞에 다가오고 있다. 이러한 시대적 변화 속에서 초등수학교육도 수학적 사고력과, 창의력과 문제 해결력 향상을 위해 학습자의 직접적인 경험을 요구하고 있다. 여기에 수학과 교수-학습에서 컴퓨터 활용에 초점을 둔 방향의 전환이 필요하다. 현재 프로그램 중에서는 많은 사용자를 확보하고 접관이 용이한 엑셀프로그램을 동하여 수와 연산, 도형, 측정, 관계영역에서 활용 방안을 제시하고자 한다.

• School Mathematics
• /
• v.6 no.3
• /
• pp.251-266
• /
• 2004

The purpose of this study is to analyze the concept of correlation in statistics, secondary mathematics textbooks, foreign mathematics textbooks in point of didactic transposition theory. It is investigated that the relevance and alternative ways of introducing correlation concept without correlation coefficient. In addition, we compare five Korean secondary textbooks and find out characteristics on didactic transposition of correlation. We end pedagogical implications of the analyses presented and general conclusions concerning the didactic transposition of correlation.

• Journal of Educational Research in Mathematics
• /
• v.25 no.4
• /
• pp.525-547
• /
• 2015

This study analyzed the written texts of textbook and the teacher's discourse explaining 'the relationship between quadratic functions and quadratic equations' in the 9th grade high school mathematics class. Data consisted of the lecture recordings and the textbooks were analyzed based on the Halliday's systemic functional linguistics. According to the results, the written texts of the textbook used lexico-grammatical strategies such as generalization using hyponomy of meanings, mathematical objectification through nominalization and materialization of meaning through change in themes to compose mathematical concepts. The textbook generalized from an example in the description of formulating mathematical concepts, and in this process the organizational interactions of discourse-semantic level and lexico-grammartical level appeared. On the other hand, the teacher's doscourse appeared the change in transitivity and the addition of the reasons and the process. Also the teacher used explanation process of formulating the relationship between quadratic functions and quadratic equations. The linguistic characteristics of the teacher were linguistic implication and omission of lexemes due to contextual ommission. And there was no use of structural lexico-grammatical resources that influence the discourse-semantic level. This results provide a new framework for analyzing mathematical discourse, and suggest the lexico-grammatical strategies that can be used to explain mathematical concepts by teachers in math classrooms.