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ANALYSIS OF PRIMARY SCHOOL STUDENTS' MATHEMATICAL CONCEPTUAL UNDERSTANDING BASED ON LEARNING INTEREST 基于学习兴趣的小学生数学概念理解分析
Pub Date : 2023-11-30 DOI: 10.22236/kalamatika.vol8no2.2023pp177-190
Elinda Elinda, Neneng Aminah, S. A. Pramuditya, Anggita Maharani
This research utilized a qualitative approach to providing a descriptive and in-depth exploration of elementary school students' mathematical and conceptual understanding of their learning interests. The study includes 20 participants, selected based on the categories of their learning interests, with three representatives chosen from each category. Participants are also selected based on their age, according to Piaget's theory, and communication abilities. Data collection techniques involve data reduction, data categorization, and data verification. Based on the research findings and discussions, it can be concluded that students with high learning interests demonstrate a strong understanding of mathematical concepts. Similarly, students with moderate learning interest exhibit a commendable grasp of mathematical concepts, while students with low learning interest tend to have lower conceptual understanding. For future research, it is recommended to explore the use of instructional media to assess children's learning interests.
本研究采用定性方法,对小学生在数学和概念上对其学习兴趣的理解进行了描述性和深入的探索。本研究包括 20 名参与者,他们是根据学习兴趣的类别选出的,每个类别选出三名代表。此外,还根据皮亚杰的理论,根据参与者的年龄和沟通能力来选择参与者。数据收集技术包括数据还原、数据分类和数据验证。根据研究结果和讨论,可以得出结论:学习兴趣高的学生对数学概念的理解能力强。同样,学习兴趣中等的学生对数学概念的掌握也值得称赞,而学习兴趣低的学生对数学概念的理解往往较低。在未来的研究中,建议探索使用教学媒体来评估儿童的学习兴趣。
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引用次数: 0
ETHNOMATHEMATICAL EXPLORATION OF TUMBU' BUGIS FOOD 对 Tumbu' bugis 食品的民族数学探索
Pub Date : 2023-11-30 DOI: 10.22236/kalamatika.vol8no2.2023pp133-148
Durrah Sakinah, Ilham Ismail Lubis, Mhmd Habibi
Culture-based education holds significant value as a tool and strategy for individuals and society in the information and technology age. Consequently, the researchers aim to explore ethnomathematics in typical Bugis food called Tumbu' Bugis. This study employed a qualitative method, utilizing an ethnographic approach and involving local communities familiar with the research study, specifically the Bugis tribe. Through observation and interviews, it was found that the typical food of Tumbu' Bugis contains the concept of geometry on the leaves used as Tumbu' wrappers and on the shape of Tumbu'. The concept of 3D shapes was also found, especially tubes (cylinders). In addition, there is also an algebraic concept in Tumbu' regarding the number of leaves needed to make Tumbu' and the number of Tumbu wrappers produced in one banana leaf. Tumbu' can be used as a medium for learning mathematics in plane geometry, including the properties and area of circumference and rectangular shapes. Comparison materials may also involve Tumbu' Bugis specialties. In conclusion, the typical food of Tumbu' Bugis encapsulates mathematical concepts, facilitating the teaching and learning process for teachers and students, ultimately aiding in achieving learning goals.
在信息和技术时代,以文化为基础的教育作为个人和社会的工具和战略具有重要价值。因此,研究人员旨在探索被称为 "Tumbu' Bugis "的典型布吉语食物中的民族数学。本研究采用定性方法,利用人种学方法,让熟悉研究对象的当地社区(特别是布吉族)参与进来。通过观察和访谈发现,Tumbu' Bugis 的典型食物在用作 Tumbu' 包装纸的树叶和 Tumbu' 的形状上包含几何概念。还发现了三维形状的概念,特别是管子(圆柱体)。此外,在 Tumbu'中还有一个代数概念,即制作 Tumbu'所需的叶子数量和一片香蕉叶可制作的 Tumbu 包装纸数量。Tumbu'可用作学习平面几何数学的媒介,包括圆周和矩形的性质和面积。比较材料还可以涉及土布布吉特色美食。总之,Tumbu' Bugis 的典型食物包含了数学概念,促进了教师和学生的教与学过程,最终有助于实现学习目标。
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引用次数: 0
THE IMPACT OF PROBLEM-BASED LEARNING AUGMENTED WITH HOTS PROBLEMS ON STUDENTS’ MATHEMATICAL PROBLEM-SOLVING ABILITIES 利用热点问题进行问题式学习对学生数学解题能力的影响
Pub Date : 2023-11-30 DOI: 10.22236/kalamatika.vol8no2.2023pp221-238
Destianti Sulistyawati, Windia Hadi, Angga Hidayat, Rosida Rakhmawati Muhammad
This study seeks to determine the impact of the Problem-Based Learning (PBL) model supplemented with higher-order thinking skills (HOTS) problems on the mathematical problem-solving skills of high school students. The research employs a quantitative approach, specifically through adopting a quasi-experimental method with a post-test-only non-equivalent control group design. The participants consist of 72 tenth-grade students, with half (36 students) exposed to the PBL model enriched with HOTS problems, and the other half exposed to the standard PBL model without HOTS problems. A descriptive test comprising five mathematical problem-solving items was administered to measure the impact. This test was rigorously validated by two professors from UHAMKA and further validated by students from another tenth-grade class. The data analysis was conducted using the Non-Parametric Mann-Whitney test. The findings suggest a noteworthy difference in mathematical problem-solving abilities between students instructed using the PBL model integrated with HOTS problems and those who did not.
本研究旨在确定辅以高阶思维能力(HOTS)问题的问题式学习(PBL)模式对高中生数学问题解决能力的影响。研究采用定量方法,特别是通过采用只进行后测的非等效对照组设计的准实验方法。研究对象包括 72 名十年级学生,其中一半(36 名学生)接受了包含 HOTS 问题的 PBL 模式,另一半接受了不包含 HOTS 问题的标准 PBL 模式。为了测量其影响,我们进行了一次描述性测试,其中包括五个数学问题解决项目。该测试由来自 UHAMKA 的两位教授严格验证,并由另一个十年级班级的学生进一步验证。数据分析采用了非参数曼-惠特尼检验法。研究结果表明,使用 PBL 模式结合 HOTS 问题进行教学的学生与未使用 PBL 模式进行教学的学生在数学问题解决能力方面存在显著差异。
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引用次数: 0
ENHANCING STUDENT NUMERACY AND LITERACY WITH GEOGEBRA: A CASE IN NUMERICAL METHODS 用 geogebra 提高学生的计算能力和读写能力:一个数字方法案例
Pub Date : 2023-11-30 DOI: 10.22236/kalamatika.vol8no2.2023pp191-206
Aklimawati Aklimawati, Yeni Lestiana, Wulandari Wulandari, Rahmah Johar, C. Khairunnisak, Erna Isyafani
Rapid advancement in technology has increased the significance of numerical literacy skills. The numerical methods course requires numerical literacy skills. The course enables students to solve a mathematical problem by interpreting the answer using an approximation rather than an actual value. This research used a descriptive quantitative method. The population of this study consisted of 80 university students enrolled in a numerical methods course. The sampling technique used a saturated sample, which involved everyone in the population as the sample. Data were collected from the learning outcomes test and questionnaire responses. The data were analyzed using a quantitative descriptive statistical analysis technique, and the data analysis computations were performed using SPSS Statistics 2. The study showed that the students' Numeracy and Literacy Skills improved when GeoGebra-assisted teaching materials were implemented in the numerical methods.
技术的飞速发展提高了数字识读技能的重要性。数字方法课程要求掌握数字识读技能。该课程使学生能够通过使用近似值而不是实际值来解释答案,从而解决数学问题。本研究采用描述性定量方法。研究对象包括 80 名选修数字方法课程的大学生。抽样技术采用饱和抽样,即把人口中的每个人都作为样本。数据从学习成果测试和问卷答复中收集。研究表明,在数值方法课程中使用 GeoGebra 辅助教材后,学生的计算能力和读写能力都得到了提高。
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引用次数: 0
PROBING-PROMPTING LEARNING: ITS EFFECT ON IMPROVING CONCEPTUAL UNDERSTANDING IN MATHEMATICS 探究-启发式学习:对提高数学概念理解能力的影响
Pub Date : 2023-11-30 DOI: 10.22236/kalamatika.vol8no2.2023pp207-220
Ulfa Hanifa, Suhendra Suhendra, Muhammad Fakhri Jauhari
Understanding mathematical concepts plays a crucial role in students achieving favorable learning outcomes. However, there remains room for improvement in students' grasp of these concepts. The main objective of this research was to assess how effective the probing prompting learning model is in improving students' understanding of mathematical concepts. This research employed the quantitative approach with the experimental method. Used tests, observations, and questionnaires to collect the data. The study included 25 students in the experimental group and 26 students in the control group. The findings showed: 1) The average percentage of teacher activity was 96.30% (“very good” category); 2) The t-test analysis findings showed a significant difference in the enhancement of understanding of mathematical concepts between students exposed to the probing prompting learning model (high category) and those using conventional learning approach; 3) Students responded positively to the probing prompting learning model, as evidenced by their attitude. In conclusion, this study suggests that the probing prompting learning model can serve as an effective alternative for facilitating learning and improving students' understanding of mathematical concepts.
理解数学概念对学生取得良好的学习效果起着至关重要的作用。然而,学生对这些概念的掌握仍有改进的余地。本研究的主要目的是评估探究提示学习模式在提高学生对数学概念的理解方面的有效性。本研究采用了实验法的定量方法。使用测试、观察和问卷来收集数据。实验组有 25 名学生,对照组有 26 名学生。研究结果显示1)教师活动的平均比例为 96.30%("非常好 "类);2)t 检验分析结果显示,在提高对数学概念的理解方面,接触探究提示学习模式(高类)的学生与使用传统学习方法的学生之间存在显著差异;3)学生对探究提示学习模式反应积极,这从他们的态度中可以得到证明。总之,本研究表明,探究提示学习模式可作为促进学习和提高学生对数学概念理解的有效替代方法。
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引用次数: 0
METACOGNITION OF YEAR 12 PACKAGE C LEARNERS ON PERMUTATION 12 年级 C 套教材学习者对 permutation 的元认知
Pub Date : 2023-11-30 DOI: 10.22236/kalamatika.vol8no2.2023pp238-250
Peni Fauziah Puadah, Suhendra Suhendra, Angga Hidayat
One of the levels in the thinking process that students can use to solve problems is metacognition. Metacognition encourages students to realize and control their thinking process. Metacognition skills are needed to support students' independent learning process, one of which is in the learning process carried out in the Equivalency Education program. This study aims to describe the metacognition skills of Year 12 students on permutation and combination. This descriptive qualitative research was conducted at a Community Learning Center in Bandung, involving 12 subjects. The instruments used in this study were metacognition tests, questionnaires, and interviews. The results showed that students with high Mathematics Initial Ability had metacognition knowledge with reflective use and strategic use levels. Learning citizens with medium initial mathematical ability have metacognition knowledge with strategic use level, and learning citizens with low initial mathematical ability are at the aware use metacognition knowledge level. In the indicator of metacognition skills, learning citizens with high initial mathematics abilities are at the strategic use level, learning citizens with moderate initial mathematical ability categories are at the strategic use level, and aware use, learning citizens with low initial mathematical ability categories are at the tacit use level. In general, the metacognitive abilities of learning citizens in the high, medium, and low initial mathematical categories are at the strategic use, aware use.
元认知是学生解决问题的思维过程中的一个层次。元认知鼓励学生意识到并控制自己的思维过程。学生的自主学习过程需要元认知技能的支持,同等学力教育课程的学习过程就是其中之一。本研究旨在描述 12 年级学生在排列组合方面的元认知技能。这项描述性定性研究在万隆的一个社区学习中心进行,共有 12 名受试者参与。研究使用的工具包括元认知测试、问卷调查和访谈。结果表明,数学初始能力高的学生的元认知知识具有反思性使用和策略性使用的水平。数学初始能力中等的学习公民的元认知知识处于策略使用水平,数学初始能力低的学习公民的元认知知识处于觉察使用水平。在元认知能力指标中,初始数学能力高的学习型公民的元认知能力处于策略使用水平,初始数学能力中等的学习型公民的元认知能力处于策略使用水平,初始数学能力低的学习型公民的元认知能力处于觉察使用水平,初始数学能力低的学习型公民的元认知能力处于默会使用水平。总体而言,高、中、低初始数学能力类别的学习公民的元认知能力处于策略使用、意识使用水平。
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引用次数: 0
CRITICAL THINKING SKILLS OF YEAR 10 SANGUINIS STUDENTS IN LEARNING BASED ON NITENI, NIROKKE, AND NAMBAHI 10 年级 Sanguinis 学生在基于 niteni、nirokke 和 nambahi 的学习中的批判性思维能力
Pub Date : 2023-11-30 DOI: 10.22236/kalamatika.vol8no2.2023pp149-176
Fuji Astuti, Sri Adi Widodo, I. Taufiq, Widowati Pusporini, Kamarul Ariffin Mansor
The study aimed to examine whether Tri-N-based trigonometry instruction improved students' critical thinking skills and sanguine personality. Single-subject research with an ABA design was the method used in this study. The stages of this study were the initial Baseline (A), the Intervention (B), and the second Baseline (A'). Year 10 science students with sanguine personalities who were chosen using a purposive sampling technique served as the study's subjects. This study employed observation methods, testing tests, and documentation for data collection. Data analysis within and between conditions are the methods used to analyze data. The findings of this study revealed that using Niteni, Nirokke, and Nambahi learning on trigonometry improved students' critical thinking skills with sanguine dispositions.
本研究旨在探讨基于Tri-N的三角函数教学是否提高了学生的批判性思维能力和性格。本研究采用了 ABA 设计的单主体研究方法。本研究的阶段为初始基线(A)、干预(B)和第二次基线(A')。研究对象是采用目的性抽样技术选出的性格温和的 10 年级理科学生。本研究采用了观察法、测试法和记录法来收集数据。数据分析采用条件内数据分析和条件间数据分析。研究结果表明,使用 Niteni、Nirokke 和 Nambahi 学习三角法提高了学生的批判性思维能力,同时也提高了学生的品格。
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引用次数: 0
LEARNING SYSTEM OF LINEAR EQUATIONS WITH APTITUDE TREATMENT INTERACTION MODEL FOR VOCATIONAL HIGH SCHOOL 职业高中学习能力处理交互模型线性方程组
Pub Date : 2023-11-30 DOI: 10.22236/kalamatika.vol8no2.2023pp119-132
Tri Cahya Mulia, Tian Abdul Aziz
This project aims to employ the aptitude treatment interaction model in the teaching system of linear equations as an alternative learning approach for high school students pursuing vocational careers. Instructional design was utilized to develop the learning model. An essential aspect of applying the aptitude treatment interaction model to learning design is the analysis of student requirements. Learning outcomes and performance goals are thoughtfully considered and aligned with instructional objectives. The findings suggest that educators should utilize the aptitude treatment interaction model when teaching systems of linear equations. The effectiveness of the learning model depends on how well it is tailored to the student's abilities.
本项目旨在在线性方程教学系统中采用能力处理互动模型,作为高中生追求职业生涯的另一种学习方法。教学设计被用来开发学习模型。将能力处理互动模型应用于学习设计的一个重要方面是分析学生的要求。学习成果和成绩目标要经过深思熟虑,并与教学目标保持一致。研究结果表明,教育工作者在教授线性方程组时应使用能力处理互动模式。学习模式的有效性取决于如何因材施教。
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引用次数: 0
EFFECT OF GEOGEBRA TOWARDS STUDENTS’ INDEPENDENT LEARNING IN MATHEMATICS 地理对学生数学自主学习的影响
Pub Date : 2023-04-30 DOI: 10.22236/kalamatika.vol8no1.2023pp93-106
Suci Nuryati Suci, Reflina Reflina
Mathematics learning independence can vary among students, with some showing greater initiative than others. This study analyzed the level of independence in learning quadratic functions among junior high school students who were using the GeoGebra application. The study involved 36 Year 9 students and employed a qualitative descriptive method. Data collection techniques included a questionnaire containing 30 positive and negative statements with eight indicators to determine how students respond to independent learning in mathematics using the GeoGebra application. The study found that using the GeoGebra application had a positive impact on learning mathematics, specifically in quadratic functions.
数学学习独立性因学生而异,有些学生表现出更大的主动性。本研究分析初中生使用GeoGebra应用程式学习二次函数的独立性水平。本研究涉及36名九年级学生,采用定性描述方法。数据收集技术包括一份包含30个正面和负面陈述的问卷,其中包含8个指标,以确定学生如何响应使用GeoGebra应用程序独立学习数学。研究发现,使用GeoGebra应用程序对学习数学,特别是二次函数有积极的影响。
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引用次数: 0
THE INFLUENCE OF THE TREFFINGER LEARNING MODEL AND SELF-DIRECTED LEARNING ON STUDENTS’ MATHEMATIC CRITICAL THINKING SKILLS treffinger学习模式和自主学习对学生数学批判性思维能力的影响
Pub Date : 2023-04-30 DOI: 10.22236/kalamatika.vol8no1.2023pp49-62
Valeria Yekti Kwasaning Gusti, W. Rahayu
The study investigated the influence of the Treffinger learning model and self-directed learning on the critical thinking skills of junior high school students. The Treffinger learning model is one of the few models addressing the problem of creativity and providing practical suggestions on how to achieve cohesion. On the other hand, self-directed learning is a mental process to increase the knowledge, skills, and self-achievement of individuals with self-planned and self-conducted activities. The research employed a post-test experiment and control group design with two groups. The study employed two groups; one group was treated using the Treffinger learning model, while the other group was treated using a conventional model. Both groups were analyzed using a self-directed learning questionnaire and a critical mathematical thinking skills test. The sample of this research comprised 88 Grade 8 students purposefully selected in relation to the research objectives. The results of the study showed that the Treffinger learning model was statistically significant in enhancing critical mathematical thinking skills compared to the conventional learning models. Additionally, the study found that students who exhibited high levels of self-directed learning were more likely to benefit from the Treffinger learning model than the conventional model, with a statistically significant mean difference of 3.05 points.
本研究探讨了Treffinger学习模式和自主学习对初中生批判性思维能力的影响。Treffinger学习模式是少数几个解决创造力问题并为如何实现凝聚力提供实用建议的模式之一。另一方面,自主学习是通过自我计划和自我实施的活动来增加个人的知识、技能和自我成就的心理过程。本研究采用后测实验和对照组设计,分为两组。该研究采用了两组;一组采用Treffinger学习模型,另一组采用常规学习模型。两组都使用自主学习问卷和批判性数学思维技能测试进行分析。本研究的样本包括88名八年级学生有目的地选择有关的研究目标。研究结果表明,与传统学习模式相比,Treffinger学习模式在提高批判性数学思维能力方面具有统计学意义。此外,研究发现,表现出高水平自主学习的学生比传统学习模式更有可能从Treffinger学习模式中受益,平均差异为3.05分,具有统计学意义。
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引用次数: 0
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Kalamatika: Jurnal Pendidikan Matematika
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