• Title/Summary/Keyword: mathematics learning attitudes

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Enhancing Student Beliefs about Mathematical Problem Solving: Effects of a Problem-Solving based Intervention

  • Deng, Feng;Tay, Eng Guan;Toh, Tin Lam;Leong, Yew Hoong;Quek, Khiok Seng;Toh, Pee Choon;Dindyal, Jaguthsing;Ho, Foo Him
    • Research in Mathematical Education
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    • v.19 no.1
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    • pp.19-41
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    • 2015
  • Previous studies indicated that students tended to hold less satisfactory beliefs about the discipline of mathematics, beliefs about themselves as learners of mathematics, and beliefs about mathematics teaching and learning. However, only a few studies had developed curricular interventions to change students' beliefs. This study aimed to examine the effect of a problem-solving curriculum (i.e., Mathematical Problem Solving for Everyone, MProSE) on Singaporean Grade 7 students' beliefs about mathematical problem solving (MPS). Four classes (n =142) were engaged in ten lessons with each comprising four stages: understand the problem, devise a plan, carry out the plan, and look back. Heuristics and metacognitive control were emphasized during students' problem solving activities. Results indicated that the MProSE curriculum enabled some students to develop more satisfactory beliefs about MPS. Further path analysis showed that students' attitudes towards the MProSE curriculum are important predictors for their beliefs.

Exploring the Impact of a STEM Integration Teacher Professional Development Program on Secondary Science and Mathematics Teachers' Perceptions of Engineering and Their Attitude toward Engineering Integrated Teaching

  • Wang, Hui-Hui;Nam, Younkyeong
    • Journal of the Korean earth science society
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    • v.36 no.5
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    • pp.484-499
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    • 2015
  • This study explores the impact of a STEM integration teacher professional development program focusing on teachers' perception of engineering and their attitudes toward integrating engineering into teaching. A total of sixty-eight teachers from ten schools participated in the program for five days. Data are collected from three main sources including (1) pre and post concept maps probing teachers' perceptions about the engineering discipline, (2) a pre and post survey measuring teachers' self-efficacy of teaching science/mathematics within the engineering context, and (3) engineering integrated science and (or) mathematics lesson plans and teaching reflections. This study utilizes both qualitative and quantitative research methods depending on the data we have collected. The results show that both science and math teachers thought that integrating engineering into teaching provided valuable outcomes, i.e., promoting students' learning about engineering and improving their interest in science or math through real-world problem solving exercises. Participants also felt more comfortable about integrating engineering in their teaching after the program. The results also imply that the teachers' understandings of engineering become more concrete after the program. This study also provides an overview of the challenges and advantages of teaching engineering in K-12 science and mathematics classrooms.

A Study on Teaching and Learning of Elementary Mathematics is a Constructivists View (구성주의적 관점에서 관찰한 초등수학의 교수.학습방법에 관한 연구)

  • 최창우;권기자
    • Education of Primary School Mathematics
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    • v.4 no.2
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    • pp.139-150
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    • 2000
  • The objectives of the current study are first, to compare and analyze the two different teaching methods of elementary mathematics in the traditional method and in the constructivists view, and, second, thereby to reveal possible problems of the present teaching practice and to suggest some guidelines to solve those problems.The results of this research are as follows: First, longer time was spent to reach the target pont of class because the class was a little bit disturbed and noisy due to a large amount of student activities in the beginning of the class in the constructive view. Second, in the class in the constructive view, the teacher should be able to respond appropriately to the situation where the students were cognitively. And the teachers sufficient preparation for the class was found essential to have the students reach the target point by themselves through identifying children`s minds. Third, the class in the constructivists view provide the teaching environment were the teacher could evaluate each students ability accurately and study progress of the class. And fourth, finally, it was not easy for the teacher to pay attention individually to each student in the current situation of large class, The effort to have more concern for students seems to contribute to opening student`s closed minds and to forming positive attitudes toward mathematics.

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A Study of the Elementary School Teachers' Perception in STEAM(Science, Technology, Engineering, Arts, Mathematics) Education (초등학교 교사들의 융합인재교육(STEAM)에 대한 인식 연구)

  • Shin, Young-Joon;Han, Sun-Kwan
    • Journal of Korean Elementary Science Education
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    • v.30 no.4
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    • pp.514-523
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    • 2011
  • The purpose of this study was to investigation the elementary school teachers' perception in STEAM(Science, Technology, Engineering, Arts, Mathematics) Education. For this study, 93 elementary school teachers who have taught mathematics/science in gifted class were selected and a fifteen items questionnaire designed to elicit teachers' perception of steam education was to administered to them. The major findings are as follows: First, the ratio of teachers who understood a steam education exactly is very low. But teachers have positive thoughts about the need of steam education. Second, teachers thought that steam education has a good effect on elementary education. Third, teachers thought that steam education will be an alternative teaching and learning method. Fourth, teachers have negative thoughts to participate in class work related on steam education. To improve negative attitudes on steam education, incentives for teachers seems to be required. In order to spread steam education among the elementary school teachers successfully, the expansion of school facilities, administrators and staff in mind, improving financial support, strengthening education through the development of content and teaching strategies were analyzed as a challenge.

An Analysis of the Effects of Teaching Mathematics Underachievers by the Principles of Cognitively Guided Instruction (인지적으로 안내된 교수 원리를 적용한 수학학습부진아 지도 효과 분석)

  • Kim, Ji-Hye;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.789-806
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    • 2010
  • As calls for more attention toward social minority group increases in our society recently, in the field of mathematics education more attention toward an issue about mathematics underachievers is being amplified. Thus, the present study is to examine the effects of teaching method considering students' cognitive characteristics on mathematical underachievers' problem solving and mathematical disposition. For this study, 10 fifth graders identified as mathematical underachievers based on the results of the national level diagnosis assessment and school based assessment were voluntarily selected from an elementary school in Seoul. The results of this study found out the fact that students participating in this program improved in terms of an ability both to solve problems in various ways and to explain an process of problem solving using spoken or written language and drawings. In addition, learning environment respecting students' own mathematical ideas seems to positively influence students' attitudes toward mathematics learning and mathematical dispositions. Furthermore, this study pointed out that mathematical underachievers tend to have difficulty in expressing their own mathematical thinking by reason of linguistic limitation. Finally, the findings of this study imply that for effective teaching of mathematics underachievers, these students' own informal experience and knowledge about mathematics as well as their characteristics regarding learning difficulties should be strongly considered.

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Prospective Mathematics Teachers' Perceptions of Collaborative Problem-posing as a Means to Promote Students' Creativity and Character (창의성과 인성 교육 방안으로서 협력 문제 만들기에 대한 수학 예비교사의 인식)

  • Lee, Bongju
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.373-395
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    • 2022
  • This study aimed to examine how prospective mathematics teachers (PMTs) perceive collaborative problem-posing (CPP) as a method to cultivate students' creativity and character in mathematics education. This is to propose the introduction of CPP at the stage of preparatory math teacher education as one of the ways to reinforce the creativity and character education capacity of PMT), and to attempt to be an opportunity to actively utilize CPP in math teaching-learning in the school field for the education of students' creativity and character. To achieve this objective, I designed PMTs taking the 'Educational Theories for Teaching Mathematics' course, required in the second year of university, to experience CPP tasks. Data were collected through questionnaires or interviews over three years on how PMTs recognized the CPP tasks as a tool to cultivate students' creativity and character in secondary schools. The results of the study are as follows. First, PMTs recognized regardless of their CPP experience that CPP might have a positive impact on improving students' ability to devise various ideas and that it positively influences students' attitudes toward building interpersonal relationships, including teamwork, respect, and consideration. Second, the experience of PMTs participating in the CPP made them more positively aware that CPP is effective in improving students' ability to elaborate on ideas. Third, the PMTs' experience of participating in CPP led to a more positive perception of the impact of CPP on the students' abilities and attitudes, namely, the students' ability to elaborate on ideas and their inner attitudes toward individuals, including honesty, fairness, and responsibility, and the attitude of students regarding logically presenting their opinions and making rational decisions. Finally, if there are downsides to the offline environment, an online environment may be more beneficial.

Investigation of the Teaching Practice in Mathematics Classroom with Immigrant Students (우리나라 초.중등학교 다문화수학교실의 수업실태 분석)

  • Song, Ryoon-Jin;Noh, Sun-Sook;Ju, Mi-Kyung
    • School Mathematics
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    • v.13 no.1
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    • pp.37-63
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    • 2011
  • This research had investigated the teaching practice in the mathematics classrooms with immigrant students to describe how effectively mathematics teachers create inclusive learning environment of mathematics. The analysis of the data from the elementary schools suggests that teaching practice in the class was consistent to the criteria for 'contextualization of students' lived experience' and 'mathematical conversation'. However, while the quantitative results suggested that the teachers showed high expectation to their students in their teaching, the qualitative analysis revealed the teacher's beliefs and attitudes against providing equitable educational opportunity for every student. In the middle school classrooms, it was found that the teaching practices were not compatible to the goals of multicultural mathematics education. The analysis of the survey data regarding teachers' multicultural competence suggests that the teachers possessed rather advan]ced understanding of multicultural mathematics education but they need materials and pedagogy for classroom teaching from multicultural perspectives.

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A Design and Effect of STEAM PBL based on the History of Mathematics (수학사를 활용한 융합적 프로젝트기반학습(STEAM PBL)의 설계 및 효과 분석)

  • Lee, Minhee;Rim, Haemee
    • School Mathematics
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    • v.15 no.1
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    • pp.159-177
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    • 2013
  • This study is a case study of STEAM education. We have developed teaching and learning materials, suggested teaching method, and analysed the result for exploring the potential and effect of STEAM. The content of this study is based on the history of mathematics. Science (S) is related to the 24 divisions of the year, the height of the sun, the movement of heavenly bodies. Technology (T) is related to the exploration with graphic calculators. Engineering (E) is related to design sundial and research on the design principles. Art (A) is related to literature review about mathematical history, the understanding of the value of the mathematics. Mathematics (M) is related to the trigonometric functions. We have considered that Project-Based Learning is proper teaching and learning for STEAM education, we have designed the STEAM PBL and analysed the results focused on the developing integrative knowledge, mathematical attitude including mathematical value, the competencies of 21 century. The result of this study is as follows. We find that STEAM education activates students' collaboration, communication skills and improves representation and critical thinking skills. Also STEAM education makes positive changes of students' mathematical attitudes including the values of the mathematics.

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Analysis of Affective Factors on Mathematics Learning According to the Results of PISA2003 (PISA 2003 결과에서 수학의 정의적 영역에 영향을 주는 변인 분석)

  • Lee, Chong-Hee;Kim, Soo-Jin
    • School Mathematics
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    • v.12 no.2
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    • pp.219-237
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    • 2010
  • On inquiry of international comparison assessment, the Korean students achieve high scores in mathematics while they achieve relatively low scores in responses of the affective questionnaire. It can be an important point in mathematics education of Korea, but there are few studies which explore the specific reasons. So in this study, we analysed the results of PISA 2003(in math domain) based on multiple regression analysis and correlation analysis to investigate the reasons and features of those phenomena. We compared the results of Korean students with students of other countries. As a result, there were 7 factors which effect on Korean students' affective domain in mathematics learning and they were statistically significant. According to this study, it needs to improve students' positive attitudes to their school, mathematical interest, and positive self-concept. And it needs to develop an actual instrument to explore the affective domain which effect on mathematics learning.

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A Study on Developing and Using Mathematics Learning Program which can be used to Connect Schooling and Home Education for the other days of 5 days-schooling - Centered on Project Learning - (주 5일 수업제 시행에 따른 학교와 가정을 연계한 수학학습프로그램 개발과 활용에 관한 연구 - 프로젝트형 과제를 중심으로 -)

  • Nam, Seung-In;Ryu, Sung-Rim;Baek, Seon-Su
    • School Mathematics
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    • v.10 no.1
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    • pp.79-103
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    • 2008
  • The purpose of this study is for developing and using project tasks which can be used to connect schooling and home education for the other days of 5days-schooling; to promote students' mathematical ability and to let students have positive cognitions toward mathematics and self-controled learning attitudes. For this study, two classes of 4th graders(56 students) were sampled from a school in D city. Half of them were assigned to the experiment group(EG) and the other to comparison group(CG). In the experiment group, students completed 16 project tasks and we investigated whether there is an effect on students' academic achievement and mathematical disposition. Two kinds of test instruments, pre-test and post-test were used. The pre-test scores guaranteed that both groups were homogeneous. Post-test scores were used to identify three effects and the post-test scores were analyzed by t-test. The result of this study is as follows: (1) There was significant difference between EG and CG in academic achievement (p=0.010). (2) There was significant difference between EG and CG in mathematical disposition(p=0.007). (3) There was no significant difference between EG's pre-test and post-test in mathematical disposition at the 5% significant level. But the average score of mathematical disposition improved from 3.3333 to 3.5375. Mathematical disposition was composed of 6 factors. One of them was mathematical value and there was significant difference between EG's pre-test and post-test at the 5% significance level(p=0.030). But other factors were not. The average scores of mathematical reflection improved a little. So we can say that the activities with project tasks brought an positive influence on students' mathematical disposition.

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