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Adapting Bruner’s 3-Tier Theory to Improve Teacher Trainees’ Conceptual Knowledge for Teaching Integers at the Basic School 运用布鲁纳三层理论提高基础学校教师培训生整数教学概念知识
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.61
Edmund Anamboi, R. Benjamin
The focus of this action research was to adapt Bruner’s 3-tier theory to enhance conceptual knowledge of teacher trainees on integer operations. It looks into how learners' conceptual knowledge of integer operations changes over time, as well as their attitudes toward using the 3-tier model. Eighty-two (82) teacher trainees, who were in their first year semester one of the 2020/2021 academic year were purposely selected for the study. Data was collected using test and semi-structured interviews. The study found that using Bruner’s 3-tier theory contributed to substantial gains in conceptual knowledge on integers operations among learners.  It was also found that learners proffered positive compliments about the Concrete-Iconic-Symbolic (C-I-S) construct of lesson presentation and how it built their understanding to apply knowledge on integers operations. Learners also largely proffered positive image about C-I-S construct as it aroused interest and activated unmotivated learners. On these bases, the study concludes that lessons presentations should mirror C-I-S construct in order to alleviate learning difficulties encountered on integer operations. To do this, the study suggests that workshops on lesson presentation using C-I-S construct be organized for both subject tutors, mentors and lead mentors to re-equip their knowledge and to buy-in the idea among others.
本行动研究的重点是运用布鲁纳的三层理论来增强教师学员对整数运算的概念知识。它研究了学习者对整数运算的概念知识如何随着时间的推移而变化,以及他们对使用三层模型的态度。有针对性地选择了82名2020/2021学年第一学期的见习教师作为研究对象。数据收集采用测试和半结构化访谈。研究发现,使用布鲁纳的三层理论有助于学习者在整数运算的概念知识方面取得实质性的进展。研究还发现,学习者对课程呈现的具体-符号-符号(C-I-S)结构及其如何建立他们对整数运算知识应用的理解给予了积极的赞扬。学习者对C-I-S构念的印象也大多是积极的,因为它引起了兴趣并激活了无动机学习者。在此基础上,本研究得出结论,课程呈现应反映C-I-S结构,以减轻整数运算遇到的学习困难。为了做到这一点,研究建议为学科导师、导师和领导导师组织使用C-I-S结构的课程演示研讨会,以重新装备他们的知识,并在其他人中接受这个想法。
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引用次数: 0
Exploration of Prospective Mathematics Teachers’ Mathematical Connections When Solving the Integral Calculus Problems Based on Prior Knowledge 未来数学教师在解决基于先验知识的积分问题时的数学联系探究
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.105
Didik Sugeng
Mathematical connection ability is very important to be mastered by prospective mathematics teacher students as competency to teach in secondary schools. However, the facts show that there are still many students who have weak mathematical connection abilities. This qualitative descriptive study aimed to explore how the process, and product of the mathematical connection made by prospective mathematics teacher students when solving the integral calculus problems based on their prior knowledge. The research subjects were 58 students who were prospective high school mathematics teachers at the University of Jember, Indonesia. Data were collected using documentation, questionnaire, test, and interview methods. After the test results of all subjects were analyzed, six students were interviewed. To find the match between the results of the written test and the results of the interview, a triangulation method was carried out. Data analysis used descriptive qualitative analysis with steps of data categorization, data presentation, interpretation, and making conclusions. The results show that the research subjects have connected and used mathematical ideas in the form of procedures, facts, concepts/principles, and representations in solving integral calculus problems. Students with high prior knowledge abilities can make better mathematical connections than students with moderate and low prior abilities. From these results, it is recommended that lecturers need to improve students' prior knowledge and train the students more intensely to solve integral calculus problems so all students can develop their mathematical connection abilities into very strong categories.
数学联系能力是中学数学准教师学生必须掌握的重要教学能力。然而,事实表明,仍有许多学生数学联系能力较弱。本定性描述性研究旨在探讨准数学教师学生在解决积分问题时,如何根据其先验知识建立数学联系的过程和结果。研究对象是58名学生,他们是印度尼西亚Jember大学未来的高中数学教师。采用文献资料法、问卷调查法、测试法和访谈法收集资料。在对所有科目的测试结果进行分析后,对6名学生进行了访谈。为了找到笔试结果和面试结果之间的匹配,采用了三角测量法。数据分析采用描述性定性分析,包括数据分类、数据呈现、解释和得出结论。结果表明,在解决积分问题时,研究对象已经将数学思想以过程、事实、概念/原理和表示的形式联系和使用。高先验知识能力的学生比中等和低先验知识能力的学生有更好的数学联系。从这些结果可以看出,教师需要提高学生的先验知识,并加强对学生解决积分问题的训练,使学生的数学联系能力发展到很强的类别。
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引用次数: 0
On Pre-Service Teachers’ Content Knowledge of School Calculus: An Exploratory Study 职前教师学校微积分内容知识探究
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.91
Tin Lam, Toh Pee, Kok Ming, Ying Zhu
This paper reports an exploratory study on the pre-service teachers’ content knowledge on school calculus. A calculus instrument assessing the pre-service teachers’ iconic thinking, algorithmic thinking and formal thinking related to various concepts in school calculus was administered to a group of pre-service mathematics teachers. Their performance on five of the items is reported in this paper. Other than their good performance in the iconic recognition of stationary points, their recognition on points of inflexion, differentiability and notion of minimum points was relatively poor. In addition, they appeared to lack the algorithmic flexibility in testing the nature of stationary points and the formal thinking about definition of an extremum point. The implications of the findings are discussed.
本文对职前教师的学校微积分内容知识进行了探索性研究。本研究对一组职前数学教师使用微积分工具,评估职前教师在学校微积分中与各种概念相关的符号思维、算法思维和形式思维。本文报告了他们在五个项目上的表现。除了在平稳点的符号识别上表现良好外,在拐点、可微性和最小点概念上的识别相对较差。此外,它们在测试平稳点的性质和对极值点定义的形式化思考方面似乎缺乏算法的灵活性。讨论了研究结果的含义。
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引用次数: 1
Mathematics Lecturers Professional Learning on the Topic of Even and Odd Functions through Lesson Study 数学讲师通过课堂学习对奇偶函数主题的专业学习
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.119
Hosseinali Gholami
A mathematics instructor with limited knowledge of content and pedagogy has little room for improvement or novelty in the classroom or the ability to arouse students' interest in learning mathematics. This case study was conducted in a foundation center of one of the public universities in Malaysia. The target of current research was to investigate the influence of lesson study (LS) on lecturers’ pedagogical content and content knowledge. The LS group comprises of seven lecturers of the mathematics group and the researcher. The group collaboratively prepared a research lesson on the subject of even and odd functions. Data gathered through interviews and observations on the lecturers’ activities in discussion meetings. Data from observations and interviews were analyzed descriptively and through thematic analysis method respectively. The results of this study show lecturers improved their knowledge in content and pedagogy considerably about even and odd functions. They enhanced their teaching knowledge through collaborative work and sharing of experiences. It seems the findings of this research not only help lecturers to have better performance in teaching the even and odd functions but also encourage them to experience the LS approach in teaching other mathematical concepts.
一个对教学内容和教学方法了解有限的数学教师,在课堂上几乎没有提高的空间或新颖性,也没有能力激发学生学习数学的兴趣。本案例研究是在马来西亚一所公立大学的基础中心进行的。本研究旨在探讨课堂学习对教师教学内容及内容知识的影响。LS组由7名数学组讲师和1名研究员组成。小组合作准备了一节关于奇偶函数的研究课。通过访谈和观察讲师在讨论会上的活动收集数据。观察数据和访谈数据分别采用描述性和专题分析法进行分析。研究结果表明,教师在奇偶函数的内容和教学方法上有了很大的提高。他们通过合作和分享经验来提高自己的教学知识。本研究的发现不仅有助于教师在奇偶函数的教学中有更好的表现,而且可以鼓励教师在其他数学概念的教学中体验LS方法。
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引用次数: 0
Mathematics, Gender and the Meaning in Life: The Results of PISA testing in Bosnia and Herzegovina 数学、性别和生命的意义:波斯尼亚和黑塞哥维那的PISA测试结果
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.171
H. Memišević, Inga Biscevic
The Program for International Student Assessment (PISA) was developed by the Organization for Economic Cooperation and Development to measure students’ knowledge and skills needed for today’s society. PISA is a large-scale assessment of 15-year-old students in reading, mathematics, and science. In this analysis of PISA data from Bosnia and Herzegovina (BIH), we examined the relationship between gender, mathematics achievement, and perceived meaning in life in BIH students. The sample for this analysis comprised 6480 students (3148 females and 3332 males). The results of the analysis revealed a small but statistically significant, negative relationship between mathematics and the student’s perception of the meaning in life. Boys achieved higher scores in mathematics than girls, but the difference was relatively small. In addition, boys’ rating of meaning in life was higher than that of girls. Knowing what factors influence mathematical achievement might help educators create better intervention programs. In conclusion, we provided some possible explanations for these data.
国际学生评估项目(PISA)是由经济合作与发展组织(Organization for Economic Cooperation and Development)开发的,旨在衡量当今社会所需的学生知识和技能。国际学生评估项目是一项针对15岁学生的阅读、数学和科学方面的大规模评估。在对来自波斯尼亚和黑塞哥维那(BIH)的PISA数据的分析中,我们研究了波黑学生性别、数学成绩和感知生活意义之间的关系。本分析的样本包括6480名学生(3148名女性和3332名男性)。分析结果显示,数学与学生对生活意义的感知之间存在着虽小但统计上显著的负相关。男孩在数学方面的得分高于女孩,但差异相对较小。此外,男孩对生活意义的评分高于女孩。了解影响数学成绩的因素可能有助于教育工作者制定更好的干预计划。总之,我们对这些数据提供了一些可能的解释。
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引用次数: 0
The Effectiveness of The STEM Approach on Science Process Skills in Studying Reaction Rate STEM方法对研究反应速率的科学过程技能的有效性
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.135
D. Fitri, Raudhatul Fadhilah*
The students' low science process skills are caused by learning that is still dominated by the teacher, so it is necessary to develop a learning approach that focuses students in the learning process. One approach that can be used is learning that integrates science, technology, engineering, and mathematics (STEM). This study aims to measure the improvement of students' science process skills that are integrated with the STEM approach on the reaction rate material. This research is a quantitative research with a pre-experimental design type, one group pretest-posttest with a sample of 30 students from class XI SMA Negeri 9 Pontianak, taken by random sampling technique. The data collection tool used is a subjective test of science process skills. The results showed that there was an effect of the STEM approach on the students' science process skills on the reaction rate material, with a score of 76.11, good criteria. Among the aspects of science process skills measured, including observation, classifying, calculating, predicting, inferring, and communication, the communication aspect of students experienced a significant increase from a score of 3.33 to 91.1. This study shows that the STEM approach to reaction rate learning effectively improves students' science process skills.
学生的科学过程技能较低是由于学习仍然由教师主导造成的,因此有必要制定一种以学生为中心的学习方法。一种可以使用的方法是整合科学、技术、工程和数学(STEM)的学习。本研究旨在测量STEM方法在反应速率材料上对学生科学过程技能的提高。本研究为定量研究,采用预实验设计型,一组前测后测,采用随机抽样的方法,选取文理学院11班30名学生为样本。所使用的数据收集工具是对科学处理技能的主观测试。结果表明,STEM方法对学生的科学过程技能在反应速率材料上有影响,得分为76.11,良好标准。在测量的科学过程技能中,观察、分类、计算、预测、推断和沟通方面,学生的沟通方面的得分从3.33分显著提高到91.1分。本研究表明,反应速度学习的STEM方法有效地提高了学生的科学过程技能。
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引用次数: 0
A Study of Students’ Self-Efficacy in Mathematics Performance Based on Bugis Ethnicity and Gender 基于民族和性别的学生数学成绩自我效能感研究
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.155
S. Alam, Mega Teguh, Tatag Yuli
The study on mathematical performance was significant enough to be studied further to measure students' self-efficacy. Although studies on student self-efficacy in math performance from a gender perspective were abundant, studies on this relationship from the perspectives of ethnic culture and gender were scarce. Therefore, the objective of this study was to examine the self-efficacy of Bugis Junior High School students in solving math problems based on gender. The researchers used an algebra problem in the context of the Bugis ethnic culture. For this data set, two of 25 students at a public junior high school in Bone, South Sulawesi, Indonesia, were interviewed based on ethnicity and gender. Qualitatively, the triangulation technique was employed for data analysis. The study results revealed that male students outperformed girls in terms of self-efficacy, namely magnitude, strength, and generality, in math performance. Furthermore, female students had lower self-efficacy in terms of confidence, supportive experience in completing math tasks, and confidence in their ability to complete math tasks in similar or different contexts, compared to male students, who had higher self-efficacy. This result provided new knowledge by exploring the characteristics of students' self-efficacy by integrating ethnicity and gender.
数学成绩的研究具有显著性,值得进一步研究以衡量学生的自我效能感。虽然从性别角度对学生数学成绩自我效能感的研究很多,但从民族文化和性别角度对学生数学成绩自我效能感关系的研究却很少。因此,本研究的目的是考察武吉士初中生在解决数学问题方面的自我效能感。研究人员在布吉族文化的背景下使用了一个代数问题。在这个数据集中,根据种族和性别对印度尼西亚南苏拉威西邦一所公立初中的25名学生中的两名进行了采访。定性上,采用三角测量技术进行数据分析。研究结果显示,男生在数学成绩中的自我效能感,即强度、强度和普遍性方面优于女生。此外,女生在自信心、完成数学任务的支持经验、在相似或不同环境下完成数学任务的能力方面的自我效能感较低,而男生则具有较高的自我效能感。本研究结果通过整合种族和性别来探索学生自我效能感的特征,提供了新的认识。
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引用次数: 0
Comparing Examination Standards without Graded Candidate Scripts 没有评分的考生剧本比较考试标准
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.79
Ian Jones, Colin Foster, Jodie Hunter
Comparative judgement methods are commonly used to explore standards in examination papers over time. However, studies are limited by a paucity of graded candidate scripts from previous years, as well as the expense and time required to standardise scripts. We present three studies that attempted, without the use of graded candidate scripts, to replicate and extend previous results about standards in mathematics examination papers. We found that re-typesetting examination papers into a consistent format was necessary, but that comparative judgement of examination papers without an archive of graded candidate scripts offered a reliable and efficient method for revealing relative demand over time. Our approach enables standards comparison where previously this was not possible. We found a reasonable correlation between judgments of actual student scripts and judgments of the items only, meaning that conclusions may be drawn about the demand of examination papers even when graded candidate scripts are not available.
比较判断法通常用于探究试卷的标准。然而,由于缺乏往年的分级候选脚本,以及标准化脚本所需的费用和时间,研究受到了限制。我们提出了三项研究,试图在不使用分级考生脚本的情况下,复制和扩展先前关于数学考试试卷标准的结果。我们发现,将试卷重新排版成一致的格式是必要的,但在没有评分考生脚本存档的情况下对试卷进行比较判断,为揭示随时间的相对需求提供了一种可靠而有效的方法。我们的方法使标准比较成为可能,这在以前是不可能的。我们发现,对学生实际剧本的判断与仅对题目的判断之间存在合理的相关性,这意味着即使在没有评分的考生剧本的情况下,也可以得出关于试卷需求的结论。
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引用次数: 0
High School Student’s Emotional Intelligence and Self-Reliance in Learning Mathematics: A Simple-Regression Analysis 高中生情绪智力与数学学习自立:简单回归分析
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.145
Andie Tangonan
The prediction potential of the model "emotional intelligence and self-reliance" to students' mathematical performance was investigated in this study. This research was conducted in the third and fourth quarters of the academic year 2021-2022. The quantitative research design, specifically comparative and regression analysis, was used in this study. The comparative design was utilized to assess the differences in emotional intelligence and self-reliance between male and female students, and the regression analysis was performed to see if the model "emotional intelligence and self-reliance" can predict students' mathematical performance. In terms of emotional intelligence and self-reliance, the findings show no significant difference between male and female students. Furthermore, the student's emotional intelligence and self-reliance were strong predictors of mathematics performance. It implies that emotional intelligence and self-reliance are essential factors in better math learning. The study suggested that teachers may improve their students' emotional intelligence and self-reliance by integrating social and emotional learning programs into their classes.
本研究探讨了“情绪智力与自立”模型对学生数学成绩的预测潜力。这项研究是在2021-2022学年的第三和第四季度进行的。本研究采用定量研究设计,即比较分析和回归分析。采用比较设计评估男女学生在情绪智力和自立方面的差异,并进行回归分析,检验“情绪智力和自立”模型是否可以预测学生的数学成绩。在情商和自立能力方面,研究结果显示男女学生之间没有显著差异。此外,学生的情商和自立能力是数学成绩的有力预测因素。这意味着情商和自力更生是更好的数学学习的关键因素。该研究表明,教师可以通过将社交和情感学习课程融入课堂来提高学生的情商和自立能力。
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引用次数: 0
An On-Campus Approach to Online Mathematics Teaching: A Case Study on a Pre-Calculus Course 校园数学在线教学:以微积分预科课程为例
Q3 Social Sciences Pub Date : 2022-12-15 DOI: 10.12973/ejmse.3.2.191
Tonje Jin, Kirsi Helkala
Learning in STEM subjects is to a high degree based upon understanding logic, especially in subjects like mathematics. It has always been challenging to preserve the benefits of on-campus teaching and learning while digitalizing the teaching of mathematics. In this article an approach to design for a suitable online pre-calculus course is discussed, that aims to address the challenges. The main focus will be on student active learning in synchronous online environments, technical teaching methods in lectures, and pre-planning of the course. The final exam in the course was held as a closed-book proctored exam on-campus with pen and paper, providing data on comparisons of the final exam scores with the exam from the previous year, in which the entire course was held on-campus. The results indicate a positive effect from the presented design. Also, student surveys indicated high student satisfaction.
STEM科目的学习在很大程度上是基于对逻辑的理解,尤其是数学等科目。在数字化数学教学的同时,如何保持校园教学的优势一直是一个挑战。在这篇文章中,设计一个合适的在线微积分预科课程的方法被讨论,旨在解决这些挑战。主要的重点将是学生在同步在线环境中的主动学习,讲座中的技术教学方法,以及课程的预先规划。本课程期末考试采用闭卷监考形式在校园内进行,带笔带纸,提供期末考试成绩与上一年度全课程在校园内考试成绩的对比数据。结果表明,所提出的设计具有积极的效果。此外,学生调查显示学生满意度很高。
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引用次数: 1
期刊
European Journal of Science and Mathematics Education
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