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Mathematical Model of Leukemia Treatment with Chimeric Antigen Receptor (CAR) T Cell Therapy CAR - T细胞治疗白血病的数学模型
Pub Date : 2023-08-14 DOI: 10.31943/mathline.v8i3.415
Mia Siti Khumaeroh, Mar Atus Shalehah, F. Ilahi
Leukemia, a type of blood cancer that originates in the bone marrow, is characterized by the uncontrolled growth of abnormal blood cells, which disrupt the normal functioning of blood cells. Chimeric antigen receptor (CAR) T-cell treatment, a form of immunotherapy, utilizes genetically modified T cells to specifically target and eliminate cancer cells. This treatment has shown promising results for leukemia patients who are unresponsive to chemotherapy or other therapies, as well as those who experience relapses.  In this study, we develop a mathematical model of leukemia that incorporates chimeric antigen receptor (CAR) T-cell therapy. The model takes into account the logistic intrinsic growth rate of leukemia cells, which gradually declines over time due to limited resources within the body. There are four compartments in this model: susceptible blood cells, infected blood cells, leukemia cells, and immune cells. We have analyzed the equilibrium points and their local stability, determined the basic reproduction number, and conducted a sensitivity analysis.  Through numerical simulations, we observed that prior to treatment, the number of leukemia cells in the blood escalated rapidly towards endemic conditions. However, after receiving CAR T-cell therapy through external infusion, the leukemia cells either became extinct or took a significant amount of time to reach endemic levels in the blood. Sensitivity analysis revealed that the growth rate of cancer cells (r) and the death rate of immune cells (significantly contribute to the increase in the basic reproduction number (.
白血病是一种起源于骨髓的血癌,其特点是异常血细胞不受控制地生长,从而破坏血细胞的正常功能。嵌合抗原受体(CAR) T细胞治疗是免疫治疗的一种形式,利用基因修饰的T细胞特异性靶向和消除癌细胞。对于那些对化疗或其他疗法没有反应的白血病患者,以及那些经历复发的患者,这种治疗已经显示出令人鼓舞的结果。在这项研究中,我们开发了一个白血病的数学模型,结合嵌合抗原受体(CAR) t细胞治疗。该模型考虑了白血病细胞的逻辑固有生长速率,由于体内资源有限,随着时间的推移,白血病细胞的生长速率逐渐下降。这个模型中有四个区室:易感血细胞、感染血细胞、白血病细胞和免疫细胞。分析了平衡点及其局部稳定性,确定了基本繁殖数,并进行了灵敏度分析。通过数值模拟,我们观察到,在治疗之前,血液中的白血病细胞数量迅速升级到地方性条件。然而,在通过外部输注接受CAR - t细胞治疗后,白血病细胞要么灭绝,要么需要很长时间才能达到血液中的地方性水平。敏感性分析显示,癌细胞的生长率(r)和免疫细胞的死亡率(r)对基本繁殖数(r)的增加有显著贡献。
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引用次数: 0
The Effect of Math Anxiety on Academic Procrastination of Junior High School Students 初中生数学焦虑对学业拖延的影响
Pub Date : 2023-08-14 DOI: 10.31943/mathline.v8i3.471
Lusiana Nur Maghfiroh, T. Pradipta
Academic procrastination is a form of task avoidance that occurs due to the inability to complete a task. One of the effects of academic procrastination on students is that it causes students to have limitations in learning mathematics, which is often referred to as math anxiety. This study aims to determine the effect of academic procrastination on math anxiety experienced by junior high school students facing the dynamics of the transition of learning from online to offline. This study used a quantitative approach with a survey and the subjects of this study were seventh grade junior high school students in one of the cities in Bekasi. The instruments in this study used valid instruments and had gone through expert testing with a total of 11 indicators and 28 items for math anxiety and 4 indicators and 16 items for academic procrastination. This study describes a descriptive quantitative measure measured by RASCH model using Winstep and SPSS software. The results showed that the person correlation coefficient was 0.312 with a Sig, (2-tailed) = 0.004 <0.05, indicating a correlation between variables of 9.7%, which means that math anxiety may underlie academic procrastination, which is classified as weak. Since the regression coefficient is positive, the conclusion is that math anxiety has a positive effect on academic procrastination.
学业拖延症是一种由于无法完成任务而导致的任务回避。学习拖延症对学生的影响之一是,它导致学生在学习数学方面有局限性,这通常被称为数学焦虑。本研究旨在探讨学业拖延对初中生数学焦虑的影响,这些初中生正面临着从线上到线下学习的转变。本研究采用定量调查方法,研究对象为贝卡西某城市的初七年级学生。本研究所采用的测试工具均采用有效的测试工具,并经过专家测试,数学焦虑共11项指标28项,学业拖延共4项指标16项。本研究采用Winstep和SPSS软件对RASCH模型进行了描述性定量测量。结果显示,个体相关系数为0.312,Sig(双尾)= 0.004 <0.05,表明变量之间的相关系数为9.7%,这意味着数学焦虑可能是学习拖延症的基础,被分类为弱。由于回归系数为正,因此得出数学焦虑对学业拖延有正向影响的结论。
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引用次数: 0
Mathematical Critical Thinking Abilities of Students in Terms of Self-Regulated Learning in Realistic Mathematics Education Assisted By Mobile Learning 移动学习辅助下现实数学教育中学生自主学习的数学批判性思维能力
Pub Date : 2023-08-12 DOI: 10.31943/mathline.v8i3.469
Fahmi Rizqi Nashrullah, Rochmad Rochmad, A. Cahyono
The students' mathematical critical thinking ability is categorized as still not good due to the teaching and lack of use of instructional media in the learning process. These factors also contribute to the students' low level of learning independence. Several studies have found that the mathematical critical thinking ability is still below average. One of the teaching methods that can help improve students' mathematical critical thinking ability is Realistic Mathematics Education (RME) assisted by mobile learning. This study aims to: (1) Test the effectiveness of RME assisted by mobile learning on students' mathematical critical thinking ability, and (2) Analyze and understand students' mathematical thinking ability in terms of their learning independence in RME assisted by mobile learning. The research method used is a mixed method with concurrent embedded research design. Quantitative research serves as the primary method, and qualitative research as the secondary method. The population in this study consists of seventh-grade students at MTs Al Wahdah Sumber in the academic year 2022/2023. The sample is determined using purposive sampling technique, selecting two classes as samples - Class VII A as the control group and Class VII B as the experimental group. Data collection techniques used in this study include tests, questionnaires, documentation, and interviews. Data analysis includes individual mastery test, classical mastery test, mean difference test, and proportion difference test. The results of this study indicate that: (1) RME assisted by mobile learning is effective in improving students' mathematical critical thinking ability, as evidenced by the average mathematical critical thinking ability of the experimental group reaching the actual mastery level, 75% mastery proportion in the experimental group, higher mean difference in the experimental group compared to the control group, and higher proportion in the experimental group compared to the control group, and (2) Diverse mathematical critical thinking abilities were found in the low, medium, and high learning independence groups.
学生的数学批判性思维能力被归类为由于教学和学习过程中缺乏教学媒体的使用而仍然不好。这些因素也导致了学生的学习独立性较低。几项研究发现,数学批判性思维能力仍低于平均水平。移动学习辅助的现实数学教育是提高学生数学批判性思维能力的一种教学方法。本研究旨在:(1)测试移动学习辅助RME对学生数学批判性思维能力的影响;(2)从移动学习辅助RME的学习独立性角度分析和理解学生的数学思维能力。采用的研究方法是并行嵌入式研究设计的混合方法。定量研究是主要研究方法,定性研究是次要研究方法。本研究的人口包括2022/2023学年在MTs Al Wahdah Sumber的七年级学生。采用有目的抽样技术确定样本,选取两类作为样本——7a类为对照组,7b类为实验组。本研究中使用的数据收集技术包括测试、问卷调查、文档和访谈。数据分析包括个体掌握检验、经典掌握检验、均值差异检验和比例差异检验。本研究结果表明:(1)移动学习辅助下的RME对提高学生的数学批判性思维能力是有效的,实验组的数学批判性思维能力平均达到实际掌握水平,掌握比例达到75%,实验组的平均差异高于对照组,实验组的比例高于对照组。(2)低、中、高学习独立性组的数学批判性思维能力存在差异。
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引用次数: 0
The Effect of Realistic Mathematics Education Approach and Learning Motivation To Improving Higher Order Thinking Skills By Controlling Students Intelligence Quotient 现实数学教育方法与学习动机对控制学生智商提高高阶思维能力的影响
Pub Date : 2023-08-12 DOI: 10.31943/mathline.v8i3.459
S. Suyono, M. Minarti, E. D. Wiraningsih
This study aimed to determine whether students' HOTS could be improved by using the Realistic Mathematics Education (RME) approach. More specifically, this research wants to know the effect of the RME approach on HOTS, it will be studied from students' learning motivation and will be controlled for students' Intelligence Quotient (IQ). The research design used was pretest-posttest control group design with covariables and the implementation of the research design was factorial design by level (2 X 3). The research samples were 110 twelfth grade students from two schools in East Jakarta in the 2022/2023 academic year. The results of the study showed that the increase in HOTS of students who were taught using the RME approach was higher than students who were taught with conventional learning after controlling for students' IQ. There are differences in HOTS abilities between students with high, medium, and low motivation after controlling for student IQ. There is an influence between the learning approach and learning motivation on HOTS abilities after controlling for students' Intelligence Quotient. 
本研究旨在探讨现实数学教育(RME)方法是否能改善学生的HOTS。更具体地说,本研究想要了解RME方法对HOTS的影响,它将从学生的学习动机和学生的智商(IQ)控制来研究。研究设计采用带协变量的前测后测对照组设计,研究设计的实施采用水平因子设计(2 × 3)。研究样本为雅加达东部两所学校2022/2023学年的110名十二年级学生。研究结果表明,在控制了学生的智商后,采用RME教学方法的学生的HOTS增长高于采用传统学习方法的学生。在控制学生智商后,高、中、低动机学生的HOTS能力存在差异。在控制了学生智商后,学习方法和学习动机对HOTS能力有显著的影响。
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引用次数: 0
Exploration of Ethnomathematics in Saung Ranggon of Cikedokan Village Cikarang Barat Through Geometry Learning 通过几何学习探索齐克多坎村上朗贡的民族数学
Pub Date : 2023-08-11 DOI: 10.31943/mathline.v8i3.491
Niken Fijayanti, W. Wahidin
ABSTRACTThe aims of this study were to (1) understand the concept of geometry with geometric material, (2) understand the concept of geometry with geometric material, (3) understand the concept of geometry with geometric transformation material, and (4) understand the development of numeration contained in the design. Saung Ranggon traditional house. This study is a qualitative research conducted using an ethnographic approach to explore and understand the concept of geometry through the use of geometric materials and geometric transformation materials, as well as the development of numeration within the design of the Saung Ranggon traditional house. The data collection techniques used in this study included interviews, observations, documentation techniques, and data analysis using triangulation techniques with the Spradley model consisting of domain analysis, taxonomic analysis, and component analysis. The results of this study are the geometric concepts contained in the design of the Saung Ranggon traditional house, namely, the concept of a flat shape (a rectangle that can be seen from the door, a square that can be seen from the side wall, a triangle that can be seen from the ventilation section, a trapezoid that can be seen from the back wall, a rhombus that can be seen from the fence section, and circles that can be seen from the old well), the concept of geometric shapes (tubes), the concept of transformation geometry (reflection on the  axis,  axis,  axis), and numeration development are used to solve the cost problem.
摘要本研究的目的是:(1)用几何材料理解几何概念;(2)用几何材料理解几何概念;(3)用几何变换材料理解几何概念;(4)理解设计中包含的计算的发展。Saung Ranggon传统房屋。本研究是一项定性研究,使用民族志方法,通过使用几何材料和几何转换材料,以及在Saung Ranggon传统房屋的设计中发展计算来探索和理解几何概念。本研究中使用的数据收集技术包括访谈、观察、文档技术和数据分析,使用三角测量技术和Spradley模型,包括领域分析、分类分析和成分分析。这项研究的结果是几何概念的设计中包含Saung Ranggon传统,即平面形状的概念(一个矩形,可以从门口,看到一个广场,可以看到从一面墙,一个三角形,从通风部分中,可以看到一个梯形,可以从后墙,菱形,从栅栏部分可以看出,圈子里,可以看到从旧),几何图形的概念(管),利用变换几何(轴上反射、轴上反射、轴上反射)和数值展开的概念来解决成本问题。
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引用次数: 0
The Effect of Realistic Mathematics Education With Role-Playing Method on Students' Mathematical Representation Ability 角色扮演现实数学教育对学生数学表征能力的影响
Pub Date : 2023-08-10 DOI: 10.31943/mathline.v8i3.486
Tengku Karina Rafiela, Ella Andhany
 The decrease in students' mathematical abilities is caused by students' low interest or motivation in mathematics and the use of teaching approaches that are not suitable for students' learning styles, which is decreasing their interest in learning and struggling to understand mathematical materials. This quantitative study with experimental method aims to find out how influential RME (Realistic Mathematics Education) through role play method is on students' mathematical representation ability. A total of 66 students were positioned as research subjects. Data on students' mathematical representation ability was collected using a test of 5 description questions and analyzed using descriptive statistics in the form of averages and analytical statistics in the form of t-test (Independent Sample Test). The results showed a statistically significant difference between the mathematical representation ability of students who applied RME and students who only applied conventional learning. And if there is a difference then there is an effect of the treatment given to the experimental class. Following up on the findings in this study, RME with role-playing method has a positive effect on students' mathematical representation skills and can be applied in learning mathematics considering that it can encourage students to be actively involved and create a new circumstance in learning.
学生数学能力的下降是由于学生对数学的兴趣或动机不高,以及采用不适合学生学习风格的教学方法,使学生的学习兴趣下降,难以理解数学材料。本文采用实验方法进行定量研究,旨在探究角色扮演教学法中的现实数学教育对学生数学表征能力的影响。共有66名学生被定位为研究对象。采用5道描述题检验收集学生数学表征能力数据,采用平均形式的描述性统计和t检验形式的分析统计进行分析。结果显示,应用RME的学生与只应用常规学习的学生在数学表征能力上存在统计学差异。如果有区别,那就是实验组的治疗效果。根据本研究的发现,RME结合角色扮演的方法对学生的数学表达能力有积极的影响,可以应用于数学学习,因为它可以鼓励学生积极参与,创造学习的新环境。
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引用次数: 0
Mathematics Analogy Reasoning Ability of Junior High School Students in Solving Problems of Pyramid 初中生解题金字塔数学类比推理能力的研究
Pub Date : 2023-08-10 DOI: 10.31943/mathline.v8i3.487
Dwi Agusantia, E. Nurlaelah
Mathematical analogy reasoning ability is a skill in drawing conclusions based on the similarities between the two things being compared. This study aims to describe students' mathematical analogy reasoning abilities on pyramid material in grade eight junior high school students. This research is qualitative with a case study approach. The subject of this study was grade eight at one of the junior high school students in the city of Bandung, totaling 20 students. The research instrument used in this study was essay test of the mathematical analogy reasoning abilities and has been tested for feasibility. The results of this study were that there was two students who mastered 4 indicators, 2 students mastered 3 indicators, 5 students mastered 2 indicators, 5 students mastered one indicator, and there were 6 students who did not master any of the indicators. Furthermore, 5 out of 20 students were able to identify source problems by looking for the characteristics or structure of the problem (Encoding), 13 out of 20 students were able to find relationships or solve source problems (Inferring), 3 out of 20 students were able to find the same relationship between source problem with target problem and build conclusions from the similarity of the relationship between problem one and question two (Mapping), 8 out of 20 students were able to select the correct answer and were able to explain the analogy or similarity used between the source problem and the problem targets (Applying).
数学类比推理能力是一种基于被比较的两个事物之间的相似性得出结论的技能。本研究旨在描述初八年级学生对金字塔材料的数学类比推理能力。本研究采用个案研究方法进行定性研究。本研究以万隆市初一八年级的一名学生为对象,共20名学生。本研究采用数学类比推理能力作文测试作为研究工具,并对其可行性进行了检验。本研究的结果是,掌握4个指标的学生有2人,掌握3个指标的学生有2人,掌握2个指标的学生有5人,掌握1个指标的学生有5人,没有掌握任何一个指标的学生有6人。此外,20名学生中有5名能够通过寻找问题的特征或结构来识别源问题(Encoding), 20名学生中有13名能够找到关系或解决源问题(infering), 20名学生中有3名能够找到源问题与目标问题之间的相同关系,并从问题1和问题2之间的关系的相似性(Mapping)中得出结论。20名学生中有8名能够选择正确答案,并能够解释源问题与问题目标之间使用的类比或相似性(应用)。
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引用次数: 0
Population Projection With The Application of The Differential Equation of The Logistic and Exponential Model (Case Study: Yogyakarta Special Region Province) Logistic微分方程与指数模型的人口预测应用(以日惹特区为例)
Pub Date : 2023-08-07 DOI: 10.31943/mathline.v8i3.406
Dewi Anggreini, Sukiyanto Sukiyanto, Bherrio Dwi Saputra
The calculation of population projections in Indonesia at the provincial level is carried out by BPS using the component method, while at the district level it is done using the geometric method with the basic reference of calculating compound interest. From this, it is necessary to take another approach in calculating the projected population in the province of the Special Region of Yogyakarta. This study aims to determine population projections in the Special Region of Yogyakarta using exponential and logistic models based on growth rate and carrying capacity. The data used in this study is secondary data from the Central Bureau of Statistics of the Special Region of Yogyakarta in 2017–2022. The research method used is to determine the research subject, collect data, analyze the data, and draw conclusions. The result of this research is that the carrying capacity of the Special Region of Yogyakarta is 10,652,814 and the population growth rate for the logistic model is 0,02048.
印度尼西亚省一级的人口预测计算采用BPS,采用成分法,而地区一级的人口预测计算采用几何法,基本参考计算复利。由此,有必要采取另一种方法来计算日惹特区省的预计人口。本研究的目的是利用基于增长率和承载能力的指数和逻辑模型,确定日惹特区的人口预测。本研究使用的数据是2017-2022年日惹特区中央统计局的二手数据。使用的研究方法是确定研究对象,收集数据,分析数据,得出结论。本研究的结果是日惹特区的承载能力为10,652,814,logistic模型的人口增长率为0,02048。
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引用次数: 0
Students' Creative Thinking Ability Through Open-Ended Problem Learning 通过开放式问题学习培养学生的创造性思维能力
Pub Date : 2023-08-07 DOI: 10.31943/mathline.v8i3.456
Alfian Erprabowo, C. Caswita
One of the elements affecting students' success rates in the learning process is their capacity for mathematical creativity. According to survey findings, pupils still have a limited capacity for mathematical creativity in their learning, as evidenced by the markers of this capacity. This study sought to ascertain how adopting open-ended problem learning models affected students' mathematical and creative thinking skills. This study employs quantitative research and descriptive methodologies. This study employed a research design was quasi-experimental research. The investigation employed a posttest-only control group design. Students in class VII made up the study's population. Class VIIb and VIIc samples were used in this study. Class VIIc serves as the control class and follows a traditional learning approach while Class VIIb serves as the experimental class. Research strategies for gathering data take the shape of tests. t-test data analysis formula. Based on the one-sided test calculation results, it can be seen that the average mathematical creative thinking ability of students using the Open-Ended Problem learning model is higher than the average mathematical creative thinking ability of students using conventional learning models, meaning that there is an influence using the Open-Ended Problem learning model on students' mathematical creative thinking abilities. The study's overall conclusion is the Open-Ended Problem learning approach has an impact on students' mathematical and creative thinking skills.
影响学生在学习过程中成功率的因素之一是他们的数学创造力。根据调查结果,小学生在数学学习中的创新能力仍然有限,这一点可以从这一能力的标记中得到证明。本研究试图确定采用开放式问题学习模式如何影响学生的数学和创造性思维技能。本研究采用定量研究和描述性方法。本研究采用准实验研究设计。本研究采用纯后测对照组设计。七年级的学生构成了研究的对象。本研究采用VIIb和VIIc类样本。VIIc班为对照班,采用传统的学习方法,VIIb班为实验班。收集数据的研究策略采用测试的形式。t检验数据分析公式。从单侧测试计算结果可以看出,使用开放式问题学习模式的学生的平均数学创造性思维能力高于使用常规学习模式的学生的平均数学创造性思维能力,这意味着使用开放式问题学习模式对学生的数学创造性思维能力有影响。该研究的总体结论是开放式问题学习方法对学生的数学和创造性思维能力有影响。
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引用次数: 0
Understanding The Duality of Mathematics Education Paradigms: A Comparative Review of Learning Methods In Indonesia And Japan 理解数学教育范式的二重性:印尼和日本学习方法的比较回顾
Pub Date : 2023-08-07 DOI: 10.31943/mathline.v8i3.473
Rhomiy Handican, Eline Yanty Putri Nasution, A. Ananda, N. Gistituati, R. Rusdinal
ABSTRACT This article describes a comparison of mathematics learning methods between Japan and Indonesia. In Japan, structured and systematic approaches such as Rikai Kansatsu and Kōryū are applied, with an emphasis on observation, deep understanding, and collaborative work in solving mathematical problems. Teachers in Japan also apply problem solving and open ended approaches, which encourage students to think critically, creatively and independently. In addition, the implementation of lesson study as a scientific activity that involves teachers in developing the theory and practice of mathematics learning is a strong foundation for the method in Japan. On the other hand, in Indonesia, there is a shift towards more inclusive and creative learning approaches, such as the Scientific approach and the Concrete Representational Abstract (CRA) approach. Teachers in Indonesia emphasize more on achieving individual and classical student competencies, with a strong orientation towards learning outcomes. Although the concept of lesson study has been implemented in Indonesia, there are still differences in the development of theories and the application of learning methods. Awareness, support, and collaboration among teachers are key to developing and expanding the application of lesson study and improving the quality of mathematics learning in Indonesia. With increased teacher understanding and participation, the potential of lesson study development and implementation in Indonesia can be optimized to improve students' understanding of mathematics and critical thinking skills.
本文介绍了日本和印度尼西亚数学学习方法的比较。在日本,采用结构化和系统化的方法,如Rikai Kansatsu和Kōryū,强调观察,深刻理解和协作解决数学问题。日本的教师也采用解决问题和开放式的方法,鼓励学生批判性、创造性和独立思考。此外,课堂研究作为一种科学活动的实施,使教师参与发展数学学习的理论和实践,为日本的方法奠定了坚实的基础。另一方面,印度尼西亚正在转向更具包容性和创造性的学习方法,例如科学方法和具体具象抽象(CRA)方法。印度尼西亚的教师更强调实现个人和传统学生的能力,以学习成果为强烈的导向。印度尼西亚虽然已经实施了课程研究的概念,但在理论的发展和学习方法的应用上仍然存在差异。教师之间的意识、支持和合作是发展和扩大课堂研究应用以及提高印度尼西亚数学学习质量的关键。随着教师的理解和参与的增加,印度尼西亚课程研究开发和实施的潜力可以得到优化,以提高学生对数学的理解和批判性思维技能。
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引用次数: 0
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JMPM Jurnal Matematika dan Pendidikan Matematika
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