Enhancing Learners’Performance in Grade 7 Mathematics Through 50-30-20 Exercise

Assessment exercises constitute a crucial component of the teaching and learning process,serving the purpose of gauging the degree to which learning objectives have been accomplished.This study aims to assess the mathematics performance of Grade 7 learners using the 50-30-20 exercise.Specifically,this study seeks to determine the learners’pre-test and post-test mean scores,identify significant differences between the pre-test and post-test results,evaluate learners’exercises,and propose enhanced exercises.The research employs a quasi-experimental design,with 40 Grade 7 learners in the school year 2023-2024 as participants,selected through purposive non-random sampling.Statistical data analysis involves the use of mean,standard deviation,paired t-test,and Cohen’s D effect size.Ethical considerations were paramount,as evidenced by a letter of authorization from the school head outlining the strict adherence to voluntary participation,informed parental consent,anonymity,confidentiality,risk mitigation,results-sharing protocols,and the commitment to keeping research data confidential.The data yielded a remarkable outcome:the experimental group exhibited improvement in both the pre-test and post-test.This result substantiates the initial objective of the study,showcasing a noteworthy and favorable performance among the participants.Consequently,it suggests that a majority of the participants strongly agree that the 50-30-20 exercises contribute to enhancing their understanding and problem-solving skills,as well as their ability to grasp mathematical concepts and improve their overall performance in mathematics.Therefore,the 50-30-20 exercises not only facilitated students in understanding mathematics lessons but were also aligned with the Department of Education’s development plan.

Effects of QD2R Numeracy Enhancement Strategy on the Mathematics Performance of Grade 10 Students

Learning mathematics requires an effective and strategic teaching approach.This study aimed to assess the mathematics performance of the learners with the implementation of the numeracy enhancement strategy QD2R(Questions,Drills,Repetition,and Recitation)and to propose a strategy implementation plan to elevate their performances.This study employed the use of a quasi-experimental research design,purposive sampling with 70 Grade 10 students of Lian National High School who were distributed equally to control and treatment groups.The pre-test and post-test results were statistically analyzed using independent and paired sample t-tests,and a survey questionnaire was examined by getting the mean and standard deviation.The results indicated that better performance was achieved by the students from the treatment group compared to the students from the control group,as revealed by the Mean Percentage Score(MPS)results,mean scores,and P values of their pre-test and post-test scores.The learners’perception of the implementation of this strategy was to a great extent,wherein it was perceived to be more helpful in concepts related to understanding the lesson compared to concepts related to developing their attitude and skills.Moreover,the proposed implementation plan of numeracy enhancement strategy QD2R had three expected outcomes:elevated understanding and performance in mathematics lessons;modified strategy to focus on the development of attitude and skills towards mathematics;and refined and well-implemented QD2R strategy in teaching mathematics.Relative to these expected outcomes,appropriate measures,timeframe,and resources of each were comprehensively formulated.

DYNAMIC MATHEMATICAL MODELING AND APPLICATION FOR PUMPING SYSTEM PERFORMANCE INTEGRATED EVALUATION

A mathematical model is set to evaluate the overall centrifugal pumpingsystem using asynchronous motor as power. This method can be used to affirm system performanceaccording the transform and the aberrance of interior parameters and exterior performance curves soas to give a reference to the equipment amelioration. The analysis of emulation experiment datasuggests the model is effectively used.

Experimental research and numerical simulation of the multi-field performance of cemented paste backfill:Review and future perspectives

Cemented paste backfill(CPB)technology is a green mining method used to control underground goaves and tailings ponds.The curing process of CPB in the stope is the product of a thermo-hydro-mechanical-chemical multi-field performance interaction.At present,research on the multi-field performance of CPB mainly includes indoor similar simulation experiments,in-situ multi-field performance monitoring experiments,multi-field performance coupling model construction of CPB,and numerical simulation of the multi-field performance of CPB.Because it is hard to study the in-situ multi-field performance of CPB in the real stope,most current research on in-situ multi-field performance adopts the numerical simulation method.By simulating the conditions of CPB in the real stope(e.g.,maintenance environment,stope geometry,drainage conditions,and barricade and backfilling rates),the multi-field performance of CPB is further studied.This paper summarizes the mathematical models employed in the numerical simulation and lists the engineering application cases of numerical simulation in the in-situ multi-field performance of CPB.Finally,it proposes that the multi-field performance of CPB needs to strengthen the theoretical study of multi-field performance,form the strength design criterion based on the multi-field performance of CPB,perform a full-range numerical simulation of the multi-field performance of CPB,develop a pre-warning technology for the CPB safety of CPB,develop automatic and wireless sensors for the multi-field performance monitoring of CPB,and realize the application and popularization of CPB monitoring technology.

Improving Performance of Computer Algebra Systems

Computer Algebra Systems have been extensively used in higher education. The reasons are many e.g., visualize mathematical problems, correlate real-world problems on a conceptual level, are flexible, simple to use, accessible from anywhere, etc. However, there is still room for improvement. Computer algebra system (CAS) optimization is the set of best practices and techniques to keep the CAS running optimally. Best practices are related to how to carry out a mathematical task or configure your system. In this paper, we are going to examine these techniques. The documentation sheets of CASs are the source of data that we used to compare them and examine their characteristics. The research results reveal that there are many tips that we can follow to accelerate performance.

The Effects of Cooperative Learning in Enhancing the Performance Level of Grade-10 Mathematics Students in Talavera National High School in the Philippines

Mathematics is considered by many students as a difficult academic subject. To improve their performance, various learning strategies are employed by teachers abandoning the conventional method. This study focused on the cooperative learning as a method to enhance level of performance of grade 10 mathematics students in the Philippines. It looked into the method and how it influenced students’ performance. By using a quasi-experimental research method, the following results are generated: 1) the method positively improved the performance in mathematics of the control and experimental groups;2) while effectiveness assessment showed a highly effective result;and 3) the application of the method showed a positive impact on the participants as shown by their positive perception of the subject mathematics.

Linking Real-Life Situations with Classroom Assessment: Development of Real-Life Performance-Based Tasks in Business Mathematics

This study aimed to develop real-life performance-based tasks in Business Mathematics (RLPBTs) following the ADDIE’s model of instructional development. Using the descriptive-developmental research design, the study developed RLPBTS with mathematics experts, mathematics department head, bank manager, mathematics teachers, and students as respondents. The RLPBTs consist of instructional plans. Each instructional plan has these components: Introduction, Learning Competency, Learning Outcome, Task Execution, Scoring Guide, and Generalization. The design and content of the instructional plans were assessed as very good. On the other hand, the design and execution of the Tasks were assessed as favorable. Grade 11 students also agreed that real-life performance-based tasks helped them understand better concepts in business mathematics. They claimed that they enjoyed the tasks because of the inclusion of real-life situations that they simulated. The use of the RLPBTs provides another innovation in the teaching and learning concepts in Business Mathematics.

Assessment of bearing performance degradation via extension and EEMD combined approach

As a key component in rotating machinery, the operating reliability of bearing influences the performance and service life of the equipment directly. In order to describe bearing performance degradation(BPD) process effectively, an assessment approach combining extension and ensemble empirical mode decomposition(EEMD) was proposed. First, the extension was utilized to construct the matter-element of bearing operating state, and the energy moment of intrinsic mode functions(IMFs) was used as characteristic parameter of the matter-element. Then, to determine classical domains of characteristic parameters, the mathematical statistics method was adopted. Finally, the BPD was analyzed qualitatively and quantitatively according to the comprehensive correlation degree of bearing current operating state related to its healthy state. The analytic results of bearing test-rig show that the proposed method indicates the incipient fault approximately occurring in the 81 st hour, and the method also quantitatively presents the degree of BPD. By contrast, the BPD assessment based on time-domain features extraction method could not achieve the above two results effectively.

On Solving Mathematical Problems the Spatial-Visual Ways

This study investigated the effectiveness of spatial-visualization-based instruction on the mathematical problem-solving performance of 35 mathematics education students using one-group pretest-posttest quasi-experimental design. It also aimed to describe how spatial visualization is applied in solving mathematical problems. The findings of the study revealed that spatial-visualization-based instruction improved the mathematical problem-solving performance of students. The spatial-visualization ability can be applied in solving mathematical problems.

Dynamic Performance Research on Reversing Valve of Hydraulic Breaker

The structure and operational principle on a new type reversing valve of hydraulic breaker are introduced. The nonlinear mathematic model and simulation model of the new type reversing valve are built. The dynamic simulation research of the new type reversing valve is conducted. The effects of the system parameters on the working performance are researched systematically and deeply. The regular understanding on the motion of the reversing valve is obtained, which provides theoretical basis for the innovation and manufacturing of a new generation of hydraulic breaker reversing valve.

Performance analysis for underground gas storage reservoir in depleted gas field

The construction of underground natural gas storage is one of the most reasonable and effective ways for basically surmounting city seasonal peak shaving and stabilizing peak waving. Owing to the heterogeneity of geological structure used as underground natural gas storage and different capacities of storing and transmitting fluid in reservoir, it is necessary make a reasonable proration for each member of the injection and production wells within the storage during peak shaving. In this paper, through analyzing the injection production performance characteristics of the underground natural gas storage in depleted gas field, an accurate mathematical model of the underground gas storage of depleted gas field is set up; characteristics of the storage performance and permeating processes were studied,history processes of underground gas storage were stimulated and major influence factors were analyzed. Specific and typical examples from actural data are included to demonstrate the relevance of the method to simulation of storage operation.

一种双级弹射作动筒对抛分离输出特性研究

为满足武器系统低过载对抛分离功能要求,设计了一种对抛式双级弹射作动筒,基于零维内弹道理论建立了对抛式双级弹射作动筒内弹道模型,对其分离输出特性进行了仿真,并对内弹道模型的准确性进行了试验验证。结果表明,对抛式双级弹射作动筒内弹道模型准确可靠,压强仿真曲线与实测曲线基本吻合,分离输出参数仿真值与实测值基本一致,误差不超过5%。本研究能够为同类型对抛式双级弹射作动筒的设计提供理论指导。

我国基础教育学生数学焦虑与数学学业表现关系研究——基于68篇中文文献的元分析

众多研究表明,数学焦虑是负面影响学生数学表现的主要因素。考虑到我国文化和学生学习情况有异于西方的特殊性,为进一步探索我国基础教育学生的状况,有针对性地收集了近20年内68篇国内相关文献,共包含161596个学生样本,基于随机效应模型,对73个效应量进行汇总,得到了我国基础教育学生数学焦虑与学业表现的相关系数为-0.311,属于中等强度的负相关。通过对调节变量的分析发现:从地域来看,中部地区的学生数学焦虑与成绩的负相关性更强;从考试类型来看,高利害考试相关性更强;从学段来看,各个学段间无显著差异。研究为减轻学生数学学业焦虑、提升数学学业表现提供建议,也为相关的研究提供效应量以供参考。

基于理论力学的旋耕机核心结构布局研究

针对现有的旋耕机作业效率和作业水平较低、作业效果无法达到农民要求的问题,基于理论力学对旋耕机的核心结构布局进行了设计与分析。旋耕机的主要组成包括机架、传动系统、电源和动力装置、旋耕刀和工作部件、避障系统、耕深调节装置及悬挂装置。为了保证旋耕机在作业过程中的动力匹配,通过建立旋耕机各部件的功耗数学模型,以优化旋耕机的结构和运动参数,提升旋耕机的作业性能。为了验证旋耕机的性能,对其进行机械作业性能测试,结果表明:旋耕机的作业效果良好,最终确定的旋耕机的基本性能参数合理。

基于计算机应用的数学教学模式对学生成绩的影响

为了解基于计算机应用开展的数学教学模式对学生成绩的影响,通过数据分析与实际访谈的方式开展相关研究。结果显示,整体上学生对这一教学模式具有较高评价,其学习兴趣、效果、效率及长期兴趣等四个维度紧密关联,男女学生在这四个维度上存在显著性差异且男生得分较高。基于以上结论,建议教育者在教学设计中注重个性化教学,学校应注重提升教师的技术水平,最大程度地发挥基于计算机应用的数学教学模式的潜力,根据性别差异采取差异化教学策略,更好地满足不同学生的学习需求。

热回收燃气热泵的性能模拟研究

以带热回收的燃气热泵为研究对象,建立供冷与制热水的数学模型,分析了标准设计工况和变工况下,燃气热泵系统的制冷系数(COP)和一次能源利用率(PER)随轴功率的变化情况。在夏季典型运行工况下,COP和PER可以达到3.53和2.02。在变工况时,随着冷凝器入口温度的增加,COP和PER逐渐降低。模拟了有余热回收和无余热回收两种模式下PER的变化,结果显示两者差值达到0.73,余热回收对系统的能源利用影响明显。

轴扭耦合冲击器结构设计与室内试验

为提高PDC钻头切削齿在硬地层中的吃入深度、消除扭转振动带来的危害,在自激换向式扭冲总成结构的基础上,增设水力脉冲式轴冲总成,利用扭冲总成拨叉带动轴冲总成动盘阀同步旋转,使过流面积发生周期性变化,产生水力脉冲轴冲载荷,与扭冲载荷一起形成轴扭耦合冲击,设计出一种结构简单、冲击频率相同的新型轴扭耦合冲击器。同时,基于能量转换与守恒定律,建立了冲击器性能参数数学模型,并开展了轴扭耦合冲击器性能参数室内试验。试验结果表明,该轴扭耦合冲击器的压降、轴冲载荷与流量平方呈正比,扭冲载荷、冲击频率与流量呈线性增大关系,最大相对误差仅7.91%,验证了该数学模型的准确性。研究结果可为同类冲击钻井工具的开发提供理论指导。

基于模糊数学的高性能纤维混凝土服役性能评价

高性能纤维混凝土作为一种广泛应用于工程领域的高性能材料,其服役性能的评价至关重要。该文针对高性能纤维混凝土进行配合设计,并提出一种基于模糊数学的评价方法,用于评估不同配合比条件下纤维混凝土的各项性能指标。通过运用模糊综合法,对不同配合比的纤维混凝土服役性能进行系统评估,并确定最优配合比方案。该研究通过引入模糊数学,对不确定性进行量化处理,提高评价结果的准确性和可靠性。研究结果表明,通过合理配合比设计,可以显著提升纤维混凝土的性能。通过丰富高性能纤维混凝土服役性能评价的方法体系,该研究为研究人员提供一种新的思路和工具,为工程设计和实施提供科学依据。同时,该研究的成果也为纤维混凝土在工程领域的广泛应用提供有力支持。

阿鲁科尔沁沙地饲用燕麦品种适应性评价

为筛选出适宜阿鲁科尔沁沙地种植的饲用燕麦(Avena sativa)品种,本研究采用田间随机区组试验设计方法,分别对春播13个和夏播12个供试燕麦品种的株高、旗叶长和宽、第一节茎粗、干草产量及营养品质进行了测定,并采用模糊数学隶属函数法对各指标进行综合分析。结果表明,春播和夏播不同品种燕麦的生产性能及营养品质各指标均存在一定的差异。春播燕麦不同品种隶属函数值由大到小排序为‘福燕1号’>‘贝利’>‘甜燕1号’>‘艾博’>‘悍马’>‘海威’>‘梦龙’>‘速锐’>‘莫妮卡’>‘黑玫克’>‘三星’>‘凯撒’>‘特牧’,夏播燕麦不同品种隶属函数值由大到小排序为‘甜燕3’>‘梦龙’>‘悍马’>‘速锐’>‘甜燕2’>‘甜燕70’>‘海威’>‘艾博’>‘萨摩’>‘楷模’>‘甜燕75’>‘福星’。以上结果表明,适宜在阿鲁科尔沁沙地春播的燕麦品种为‘福燕1号’‘贝利’‘甜燕1号’,夏播的燕麦品种为‘甜燕3’‘梦龙’‘悍马’。

永磁同步电机速度控制策略研究

驱动电机作为电动车辆的核心动力源,对整车的动态性能和控制精度具有显著影响。永磁同步电机因其高功率因数、优越的转矩特性以及低能耗等特点,成为众多学者研究的热点。为了降低能耗、提升电动汽车的续航里程,对永磁同步电机的控制策略进行优化至关重要。现对永磁同步电机构建相应的数学模型,并通过理论分析和仿真实验,深入探究不同控制策略的效能。通过对比各类控制方案,力求找到一种能够确保电机运行精准、稳定且高效的控制方法。