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Effectiveness of Problem Based Learning Models Assisted by Worksheets on Students' Critical Thinking Ability 工作表辅助的基于问题的学习模式对学生批判性思维能力的影响
Pub Date : 2023-11-29 DOI: 10.37640/jim.v4i2.1682
Sulistio Budi, Yesi Franita, Z. R. Hendrastuti
This study aims to describe the effectiveness of the Problem Based Learning (PBL) model assisted by worksheet on the critical thinking ability of students. This quasi-experimental study employs the nonequivalent posttest-only control group design with the cluster random sampling technique. The study sample consists of students from classes VII B and VII C in one of the Public Junior High Schools in Magelang, Central Java, Indonesia. The research instruments used are learning tools in the form of worksheet and critical thinking ability tests. The results of this research are; 1) students who are taught using the PBL learning model assisted by worksheet against critical thinking ability are said to be effective by obtaining learning completion has reached 75%, 2) students who are taught using the direct learning model against critical thinking ability are said to be ineffective by obtaining learning completion has not reached 75%, 3) critical thinking ability of learners taught using the worksheet-assisted PBL model more effective than using the direct learning model. This study implies differences in students' critical thinking abilities when comparing the worksheet-assisted PBL learning model to the direct learning model. Education needs to apply appropriate learning models to develop students' critical thinking skills.
本研究旨在阐述工作表辅助的基于问题的学习(PBL)模式对学生批判性思维能力的影响。这项准实验研究采用了非等效后测对照组设计和群组随机抽样技术。研究样本包括印度尼西亚中爪哇省马格朗市一所公立初中七 B 班和七 C 班的学生。使用的研究工具是工作表形式的学习工具和批判性思维能力测试。本研究的结果是:1)使用工作表辅助的 PBL 学习模式教学的学生批判性思维能力有效,学习完成率达到 75%;2)使用直接学习模式教学的学生批判性思维能力无效,学习完成率未达到 75%;3)使用工作表辅助的 PBL 模式教学的学生批判性思维能力比使用直接学习模式教学的学生批判性思维能力更有效。这项研究表明,在比较工作表辅助 PBL 学习模式和直接学习模式时,学生的批判性思维能力存在差异。教育需要采用适当的学习模式来培养学生的批判性思维能力。
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引用次数: 0
Improving Students' Mathematical Problem Solving Ability in Trigonometry Material Using the Flipped Classroom Model 利用翻转课堂模式提高学生在三角学教材中解决数学问题的能力
Pub Date : 2023-11-29 DOI: 10.37640/jim.v4i2.1896
Abdul Hakim Ma'ruf, Ageng Triyono, Muhammad Rifki Ismail
This research was motivated by the relatively low learning outcomes and problem solving abilities of class IX students. So this research aims to improve learning outcomes and improve students' mathematical problem solving abilities. The objectives were achieved through the classroom action research method by applying the flipped classroom model for 3 cycles in trigonometry learning. This research involved 32 students from SMA N 1 Pedes. Data was collected using test instruments, observation sheets, and interviews. Data were analyzed using the Miles & Hubberman method. The results of the analysis show an increase in learning outcomes and an increase in mathematical problem solving abilities. The increase in learning outcomes is shown by the average value in cycle I of 67.28, cycle II of 72.97, and cycle III of 75.41. The percentage of mathematical problem solving ability from cycle I was 47%, increasing in cycle II to 71.87%; and in cycle III it was 84.37%. Thus, student learning outcomes have reached the specified criteria of 74, and meet the criteria for the percentage of problem solving ability set at 80%. So the application of the flipped classroom model can be recommended for further use in mathematics learning, especially trigonometry.
九班学生的学习成绩和数学解题能力相对较低,是本研究的动因。因此,本研究旨在提高学生的学习成绩和数学解题能力。通过课堂行动研究法,在三角学学习的三个周期中应用翻转课堂模式来实现目标。本研究涉及来自 SMA N 1 Pedes 的 32 名学生。使用测试工具、观察表和访谈收集数据。采用迈尔斯和哈伯曼方法对数据进行了分析。分析结果显示,学生的学习成绩和数学解题能力都有所提高。学习成绩的提高表现在第一周期的平均值为 67.28,第二周期为 72.97,第三周期为 75.41。数学解题能力的百分比从周期 I 的 47%上升到周期 II 的 71.87%,周期 III 的 84.37%。因此,学生的学习成绩达到了规定的 74 分的标准,并符合解题能力百分比设定为 80%的标准。因此,翻转课堂模式的应用可以推荐在数学学习中进一步使用,尤其是三角函数的学习。
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引用次数: 0
Note on Leonardo’s Combinatorial Approach 莱昂纳多组合方法说明
Pub Date : 2023-11-29 DOI: 10.37640/jim.v4i2.1862
R. Vieira, F. R. Alves, Paula Maria Machado Cruz Catarino
The purpose of this research is to carry out a study of Leonardo's combinatorial approach so that it is possible to visualize these numbers through combinatorial interpretation. Thus, research is being developed regarding methods and approaches to linear and recurring sequences, based on the combinatorial study of the Fibonacci sequence. In fact, the Fibonacci sPquence is related to other sequences, one of which is the Leonardo sequence, which has similarities with the Fibonacci numbers according to some researchers in the field. Given this scenario, the present research addresses the combinatorial interpretation of Leonardo's sequence, allowing the definition of Leonardo's combinatorial model, considering the notion of board and bracelets in Lucas' sequence. As research results, the study deals with the integration of sequence content with the area of Combinatorial Analysis, allowing a mathematical advancement of Leonardo's sequence. Furthermore, you can visualize the sequence numbers in front of the tiles. The aspects studied in this research are linked to the teaching of sequences in the History of Mathematics, allowing the teaching of Mathematics.
这项研究的目的是对莱昂纳多的组合方法进行研究,以便能够通过组合解释将这些数字形象化。因此,在对斐波那契数列进行组合研究的基础上,正在开发有关线性数列和循环数列的方法和途径的研究。事实上,斐波那契数列与其他数列有关,其中之一是莱昂纳多数列,该领域的一些研究人员认为莱昂纳多数列与斐波那契数列有相似之处。鉴于这种情况,本研究探讨了莱昂纳多数列的组合解释,考虑到卢卡斯数列中木板和手镯的概念,允许定义莱昂纳多的组合模型。作为研究成果,本研究涉及序列内容与组合分析领域的整合,从而使莱昂纳多序列在数学上得到提升。此外,您还可以将序列号直观地显示在瓷砖前面。本研究的内容与数学史中的序列教学相关联,使数学教学成为可能。
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引用次数: 0
The Influence of Mathematical Logical Intelligence on Student Learning Outcomes in Linear Algebra Courses 数学逻辑智能对学生线性代数课程学习成果的影响
Pub Date : 2023-11-29 DOI: 10.37640/jim.v4i2.1871
Lilia Sinta Wahyuniar, Umi Mahdiyah, S. Rochana, Dwi Harini
The purpose of this study was to determine the effect of mathematical logical intelligence on student learning outcomes in Linear Algebra courses. The research method used is quantitative. The sampling technique used in this study was simple random sampling. Data collection in this study used a mathematical logical intelligence test of 20 multiple choice questions and a test of student learning outcomes in linear algebra courses of 5 description questions. The variables in this study consisted of independent variables and dependent variables. The independent variable in this study is mathematical logical intelligence (X), while the dependent variable in this study is student learning outcomes in Linear Algebra courses (Y). The instrument test in this study consisted of validity test, distinguishing power, difficulty level and reliability test. The classical assumption test in this study consists of normality test and linearity test. The data analysis technique used simple linear regression. The result of this study is that there is an influence between mathematical logical intelligence on student learning outcomes in linear algebra courses of 0.527 or 53%. While the other 47% is influenced by other variables outside this study.
本研究旨在确定数学逻辑智能对学生线性代数课程学习成果的影响。采用的是定量研究方法。本研究采用的抽样技术是简单随机抽样。本研究的数据收集使用了包含 20 道选择题的数学逻辑智能测试和包含 5 道描述题的线性代数课程学生学习成果测试。本研究的变量包括自变量和因变量。自变量是数学逻辑智能(X),因变量是学生线性代数课程的学习成果(Y)。本研究的工具测试包括效度测试、区分度测试、难度测试和信度测试。本研究的经典假设检验包括正态性检验和线性检验。数据分析技术采用简单线性回归。研究结果表明,数学逻辑智能对学生线性代数课程学习成绩的影响为 0.527 或 53%。而另外的 47% 则受到本研究之外的其他变量的影响。
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引用次数: 0
Strategy for Teaching Numerical Expressions through the Wordwall Platform for EJA Students 通过 "文字墙 "平台为英语学习者教授数字表达式的策略
Pub Date : 2023-11-29 DOI: 10.37640/jim.v4i2.1778
Paulo Vitor da Silva Santiago, José Rogério Santana, Maria José Costa Dos Santos
This work is a pedagogical practice with students of Youth and Adult Education of a public school in Brazil with insertion of the basic operations of mathematics and numerical expressions. The objective of this research was to analyze the contributions of Gamification in meaningful learning based on the Theory of Didactic Situations with the contents of basic operations and numerical expressions with EJA high school students. The methodology at work is the qualitative approach with descriptive-exploratory objectives, applied to twenty-three EJA students, is composed of dynamic parts that occur simultaneously, following the stages of concept, structuring, application, development, resolution and conclusion of each student from the Didactic Contract and Didactic Transposition inserted in the concept of arithmetic and numerical expressions. Results show that gamification plays an important role in teaching mathematics learning inserted in the EJA high school class, which can be demonstrated at the time of the calculations described in the proposed activity. Finally, it is observed that the study carried out with Gamification and the students' discourse had a positive impact on the learning of all students, especially with regard to basic operations and numerical expressions.
本作品是针对巴西一所公立学校青年与成人教育专业学生的教学实践,其中插入了数学基本运算和数字表达。这项研究的目的是分析游戏化在基于教学情境理论的有意义学习中的贡献,其内容是基本运算和数字表达式,对象是 EJA 高中学生。研究方法是以描述-探索为目标的定性方法,适用于 23 名东亚和东南亚学生,由同时发生的动态部分组成,遵循每个学生在算术和数字表达式概念中插入的 "教学契约 "和 "教学转换 "的概念、结构、应用、发展、解决和结论阶段。结果表明,游戏化教学在 EJA 高中班的数学学习中发挥了重要作用,这可以在拟议活动中描述的计算中体现出来。最后,我们可以看到,游戏化和学生讨论对所有学生的学习都产生了积极的影响,尤其是在基本运算和数字表达方面。
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引用次数: 0
Influence a Realistic Mathematics Education Approach and Motivation on Students' Mathematical Reasoning Ability 现实主义数学教育方法和动机对学生数学推理能力的影响
Pub Date : 2023-05-26 DOI: 10.37640/jim.v4i1.1618
A. M. M. Purnamatati, H. Usman, Elih Yunianingsih
The purpose of the research was to provide knowledge of the effect of the Realistic Mathematics Education (RME) approach and motivation on students' mathematical reasoning abilities. This quasi-experimental study employed a pretest-posttest control group design, focusing on fifth-grade students at SDN Lulut 05, Klapanunggal District. Class VA was selected as the experimental group, while class VB served as the control group using purposive sampling. Data analysis involved the N-gain formula and t-test. The results shown: (1) There is a difference in the increase in students' mathematical reasoning ability after being given the RME approach indicated by the N-gain value of 55.5 in the medium category and for the experimental class 36.8 in the low category, then the control class in the t-test (independent) so that the Sig value is obtained. 0.001<0.005, as for deciding in the independent sample t-test. It is concluded that there is a significant difference between the average score mathematical reasoning ability by students treated with the RME approach and the Conventional approach. (2) There is an influence of the RME approach on students' mathematical reasoning abilities with an effect size score of 1.44 which is in the high category.
本研究的目的是提供现实数学教育(RME)方法和动机对学生数学推理能力的影响。本准实验研究采用前测后测控制组设计,以克拉帕永加尔区Lulut 05小学五年级学生为研究对象。选取VA类为实验组,VB类为对照组,目的抽样。数据分析包括n -增益公式和t检验。结果表明:(1)采用RME方法后,学生的数学推理能力的提高存在差异,中等类别的n增益值为55.5,低类别的n增益值为36.8,然后在t检验(独立)中得到控制班的Sig值。0.001<0.005,在独立样本t检验中决定。结果表明,RME方法与传统方法的学生在数学推理能力的平均分上存在显著差异。(2) RME方法对学生数学推理能力有影响,效应量得分为1.44,处于高水平。
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引用次数: 0
Mathematics Teachers' Views on Online Learning Implementation Barriers 数学教师对网络学习实施障碍的看法
Pub Date : 2023-05-26 DOI: 10.37640/jim.v4i1.1764
Alcher J. Arpilleda, Milagrosa P. Resullar, Reubenjoy P. Budejas, Ana Lea G. Degorio, Reggienan T. Gulle, Mark Clinton J. Somera, Roderick Sayod, Bernah Rizza May A. Galvez, Myrna D. Ariar, Emelyn S. Digal, Wilje Mae T. Angob, Joe Mark Stephen D. Atis
Mathematics teachers face challenges when it comes to delivering instruction, particularly on topics that require practical applications. This study aimed to determine the barriers encountered in implementing online learning during the pandemic. A quantitative descriptive research design was employed, utilizing a survey technique, with twelve mathematics teachers from St. Paul University Surigao as participants. The primary instrument used to gather data was an adapted questionnaire from Mailizar et al. (2020). Statistical tools employed in this study included Frequency Count and Percentage Distribution, Mean and Standard Deviation, and Analysis of Variance. Findings revealed that respondents poorly perceived the identified online learning implementation barriers, specifically, the teacher-level and student-level barriers. Consequently, the school provided them with enough support for the online learning implementation during the pandemic. It is also concluded that the teachers' number of years in service affects the perception of the online learning implementation barrier in terms of the teacher level barriers. Based on the results, it is recommended that additional training and support be provided to both teachers and students to create an effective online teaching and learning environment, as the teacher-level and student-level barriers were found to be most prominent.
数学教师在教学方面面临挑战,特别是在需要实际应用的主题上。本研究旨在确定在大流行期间实施在线学习所遇到的障碍。采用定量描述性研究设计,采用问卷调查法,以苏里高圣保罗大学12名数学教师为研究对象。用于收集数据的主要工具是Mailizar等人(2020)的改编问卷。本研究使用的统计工具包括频率计数和百分比分布、均值和标准差、方差分析。调查结果显示,受访者对已确定的在线学习实施障碍,特别是教师层面和学生层面的障碍认识不佳。因此,学校为他们在大流行期间实施在线学习提供了足够的支持。在教师水平障碍方面,教师的服务年限影响在线学习实施障碍的感知。基于研究结果,建议为教师和学生提供额外的培训和支持,以创造一个有效的在线教学和学习环境,因为教师层面和学生层面的障碍最为突出。
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引用次数: 0
Some Elementary Combinatory Properties and Fibonacci Numbers 一些基本组合性质和斐波那契数
Pub Date : 2023-05-26 DOI: 10.37640/jim.v4i1.1756
F. R. Alves, Renata Teófilo de Sousa
In general, in the midst of History of Mathematics textbooks, we are faced with a discussion due to curiosity about the emblematic Fibonacci Sequence, whose popularization occurred with the proposition of the reproduction model of immortal rabbits. On the other hand, in the comparison of the multiple approaches and discussions of certain subjects in Elementary Mathematics, in the present work, we highlight combinatorial interpretations that, with the support of a characteristic and fundamental reasoning for the mathematics teacher, can be generalized and formalize some eminently intuitive components. In particular, this work deals with properties derived from the notion of tiling and decomposition of an integer that, depending on the board, will correspond to the numbers of the Fibonacci Sequence. We bring a theoretical discussion supported by great names that research in this area.
总的来说,在数学历史教科书中,我们面临着由于对象征性的斐波那契数列的好奇而引起的讨论,斐波那契数列的普及是随着不朽兔子的繁殖模型的提出而发生的。另一方面,在对小学数学中某些科目的多种方法和讨论的比较中,在本工作中,我们强调组合解释,在数学教师的特征和基本推理的支持下,可以概括和形式化一些非常直观的组成部分。特别地,这项工作处理从平铺和整数分解的概念派生的属性,取决于棋盘,将对应于斐波那契数列的数字。我们带来了一场理论讨论,得到了该领域研究的知名人士的支持。
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引用次数: 0
Critical Thinking Ability as a Correlate of Students’ Mathematics Achievement: A Focus on Ability Level 批判性思维能力与学生数学成绩的关系:以能力水平为中心
Pub Date : 2023-05-26 DOI: 10.37640/jim.v4i1.1753
D. C. Duru, C. Obasi
This study investigated the correlation between critical thinking ability and academic achievement in mathematics among 200 Senior Secondary School Two (SS2) students in Orlu Education Zone in Imo State, Nigeria. The researchers utilized a correlational design and employed a multi-stage but simple random sampling technique to select the sample. Data were collected using two instruments: the Watson-Glaser Critical Thinking Appraisal (WGCTA) and the Mathematics Achievement Proforma (MAP). The validity of the WGCTA instrument was ensured through expert suggestions and guidance. The study addressed three research questions and tested three null hypotheses using the Pearson Product Moment correlation coefficient at a significance level of 0.05. The findings of the study indicated a low positive and significant correlation between critical thinking ability and academic achievement in mathematics for all students. However, there was no significant relationship between critical thinking ability and achievement among high achievers, while there was a significant but negligible positive relationship between critical thinking ability and achievement among low achievers. The study recommended that mathematics teachers should incorporate critical thinking development in their classroom instruction to enhance the critical thinking ability of students, which can lead to improved academic achievement, especially among low achievers.
本研究调查了尼日利亚伊莫州Orlu教育区的200名高中二年级学生的批判性思维能力与数学学业成绩之间的关系。研究人员采用了相关设计,并采用了多阶段但简单的随机抽样技术来选择样本。数据收集使用两种工具:沃森-格拉泽批判性思维评估(WGCTA)和数学成就表格(MAP)。通过专家建议和指导,保证了WGCTA仪器的有效性。该研究解决了三个研究问题,并使用皮尔逊积矩相关系数在0.05的显著性水平上检验了三个零假设。研究结果显示,所有学生的批判性思维能力与数学学业成绩之间存在低正向显著相关。然而,在高成就学生中,批判性思维能力与成绩之间没有显著的关系,而在低成就学生中,批判性思维能力与成绩之间存在显著但可忽略的正相关关系。本研究建议数学教师应将批判性思维发展纳入课堂教学,以提高学生的批判性思维能力,从而提高学习成绩,特别是对学习成绩较差的学生。
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引用次数: 0
The Influence of Connected Mathematics Project (CMP) Learning Models on Student’s Mathematical Communication Ability in View of Self Esteem 自尊视角下关联数学项目学习模式对学生数学沟通能力的影响
Pub Date : 2023-05-26 DOI: 10.37640/jim.v4i1.1710
Rizkya Elsa Armadhani, Yesi Franita, A. Chasanah
This study examines the effectiveness of the Connected Mathematics Project (CMP) learning model in improving students' mathematical communication skills at MA Madarijul Huda Pati. Because of 46.15% of students demonstrating very low skills and 23.07% falling into the low category, the study aims to: (1) analyze the impact of CMP on mathematical communication skills, (2) compare skills among students with high, moderate, and low self esteem, and (3) explore the interaction between CMP and self esteem. Employing a quantitative quasi-experimental approach, the study involves class XI students selected through cluster random sampling. Results indicate a significant improvement in mathematical communication skills through CMP. Students with high self esteem outperform those with moderate self esteem, while those with moderate self esteem fare better than those with low self esteem. Additionally, students with high self esteem exhibit superior mathematical communication skills compared to students with low self esteem. Notably, an interaction between the learning model and self esteem was observed, influencing mathematical communication skills.
本研究考察了连接数学项目(CMP)学习模式在提高MA Madarijul Huda Pati学校学生数学沟通能力方面的有效性。由于46.15%的学生数学沟通能力非常低,23.07%的学生数学沟通能力较低,因此本研究旨在:(1)分析CMP对数学沟通能力的影响,(2)比较高自尊、中等自尊和低自尊学生的数学沟通能力,(3)探索CMP与自尊之间的相互作用。结果表明,通过CMP可以显著提高数学沟通能力。高自尊的学生比中等自尊的学生表现更好,而中等自尊的学生比低自尊的学生表现更好。此外,与低自尊的学生相比,高自尊的学生表现出更好的数学沟通技巧。值得注意的是,学习模式和自尊之间存在交互作用,影响数学沟通技巧。
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引用次数: 0
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Journal of Instructional Mathematics
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