Effectiveness of Reward System on Assessment Outcomes in Mathematics

As assessment outcomes provide students with a sense of accomplishment that is boosted by the reward system,learning becomes more effective.This research aims to determine the effects of reward system prior to assessment in Mathematics.Quasi-experimental research design was used to examine whether there was a significant difference between the use of reward system and students’level of performance in Mathematics.Through purposive sampling,the respondents of the study involve 80 Grade 9 students belonging to two sections from Gaudencio B.Lontok Memorial Integrated School.Based on similar demographics and pre-test results,control and study group were involved as participants of the study.Data were treated and analyzed accordingly using statistical treatments such as mean and t-test for independent variables.There was a significant finding revealing the advantage of using the reward system compare to the non-reward system in increasing students’level of performance in Mathematics.It is concluded that the use of reward system is effective in improving the assessment outcomes in Mathematics.It is recommended to use reward system for persistent assessment outcomes prior to assessment,to be a reflection of the intended outcomes in Mathematics.

Risk assessment model of tunnel water inrush based on improved attribute mathematical theory

Tunnel water inrush is one of the common geological disasters in the underground engineering construction.In order to effectively evaluate and control the occurrence of water inrush,the risk assessment model of tunnel water inrush was proposed based on improved attribute mathematical theory.The trigonometric functions were adopted to optimize the attribute mathematical theory,avoiding the influence of mutation points and linear variation zones in traditional linear measurement functions on the accuracy of the model.Based on comprehensive analysis of various factors,five parameters were selected as the evaluation indicators for the model,including tunnel head pressure,permeability coefficient of surrounding rock,crushing degree of surrounding rock,relative angle of joint plane and tunnel section size,under the principle of dimension rationality,independence,directness and quantification.The indicator classifications were determined.The links among measured data were analyzed in detail,and the objective weight of each indicator was determined by using similar weight method.Thereby the tunnel water inrush risk assessment model is established and applied in four target segments of two different tunnels in engineering.The evaluation results and the actual excavation data agree well,which indicates that the model is of high credibility and feasibility.

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.

A mathematical model for environmental risk assessment in manufacturing industry

Environmental conscious manufacturing has become an important issue in industry because of market pressure and environmental regulations. An environmental risk assessment model was developed based on the network analytic method and fuzzy set theory. The "interval analysis method" was applied to deal with the on site monitoring data as basic information for assessment. In addition, the fuzzy set theory was employed to allow uncertain, interactive and dynamic information to be effectively incorporated into the environmental risk assessment. This model is a simple, practical and effective tool for evaluating the environmental risk of manufacturing industry and for analyzing the relative impacts of emission wastes, which are hazardous to both human and ecosystem health. Furthermore, the model is considered useful for design engineers and decision maker to design and select processes when the costs, environmental impacts and performances of a product are taken into consideration.

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.

Fuzzy comprehensive assessment of running condition for a large-scale centrifugal compressor set

A fuzzy comprehensive assessment method of running condition was constructed and applied to a large-scale centrifugal compressor set in a petrochemical corporation aiming at the monitoring and early warning of abnormal conditions in industry.The maximal information coefficient(MIC)correlation analysis of indexes was introduced to determine the independent indexes to be assessed,and the dynamic deterioration degree was calculated using the predicted independent indexes by the second-order Markov chain model.The fuzzy membership degree weighting method was employed to assess the running condition of all units in the set.Simple and direct radar chart was used to visualize condition assessment grades.Results showed that the proposed fuzzy comprehensive assessment method successfully assessed the running condition of the set.The constructed method achieved 10 min earlier alarm than the traditional threshold alarm occurred at the specific moment of00:44 on April 7 of 2018.The method would provide a valuable tool and have a wide engineering application in ensuring the safety and reliability of industrial production.

A Comparative Analysis of Environmental Quality Assessment Methods for Heavy Metal-Contaminated Soils

Four assessment methods （two pollution indexes and two fuzzy mathematical models） were employed to investigate the environmental quality of four soils around a ferroalloy plant in Nanjing City. Environmental quality was assessed as class Ⅳ （moderately polluted） for each soil with single-factor index method, and was identified to be classes Ⅳ, Ⅲ （slightly polluted）, Ⅲ, and Ⅲ for soils A, B, C, and D, respectively, with the comprehensive index model. In comparison with the single-factor index method, the comprehensive index model concerned both dominant parameter and average contribution of all factors to the integrated environmental quality. Using the two fuzzy mathematical methods （single-factor deciding and weighted average models）, the environmental risks were determined to be classes Ⅳ, Ⅲ, Ⅱ （clean）, and Ⅱ for soils A, B, C, and D, respectively. However, divergence of the membership degree to each pollution class still occurred between the two methods. In fuzzy mathematical methods, membership functions were used to describe the limits between different pollution degrees, and different weights were allocated for the factors according to pollution contribution. Introduction of membership degree and weight of each factor to fuzzy mathematical models made the methods more reasonable in the field of environmental risk assessment.

Vulnerability Assessment of Shallow Groundwater in Ordos Cretaceous Basin

[Objective] The aim was to evaluate the vulnerability to pollution of shallow groundwater in Or（los Cretaceous Basin system. [Method] Mathematical modeling, GIS spatial analysis and multivariate statistical analysis technologies were introduced to improve the traditional groundwater vulnerability assessment model of DRASTIC in view of its strong subjective for expert estimation and weight assigning. In the meantime, the intensi- ty and reasons of vulnerability to pollution of groundwater in the area were studied, and measures to protect local groundwater were proposed. [Resultl Using improved DRASTIC method to assess the vulnerability to pollution of groundwater in Ordos Cretaceous Basin system was objective and reliable. The application of fertilizer was the main influential factors to the vulnerability to pollution of groundwater in Ordos Cretaceous Basin sys- tem. It was advised to lessen the usage of fertilizer and not to drink water from lake or deep ground water. Density, rock, and evaporation were fac- tors that led to intensive vulnerability to pollution of groundwater in shallow areas. [ Conclusion] The study provided a new method for the evaluation of vulnerability to pollution of groundwater in Ordos Basin.

Cleaner Production Assessment in Textile Industry

Cleaner Production focuses on environmental improvement with economic benefits. Based on the benefit assessment home and abroad, the assessment method and process in textile industry is discussed, including maneuverable indicator system, mathematics model. According to corresponding principles of Cleaner Production, representative problems are mentioned. With Analytic Hierarchy Process and Fuzzy Mathematics, some enterprise is collected to attain the economic, environmental and social benefit of Cleaner Production. The results show that Cleaner Production improves utilization efficiency of resources, energy sources even waste, and creates conditions of Sustainable Development in textile industry.

生成式人工智能支持的教师评语研究:基于初中数学课堂的实践探索

教师评语是形成性评价分析的重要数据来源,但现有教师评语生成的质量在社会性、客观性和个性化方面存在一定的不足,生成式人工智能支持的教师评语为解决该问题提供了可能。生成式教师评语是指教师通过认知诊断技术得到的智能诊断数据与生成式人工智能平台进行交互,从而让生成式人工智能平台模拟教师社会性语言,生成数据驱动的个性化教师评语。在初中数学课堂中的实证研究发现:生成式教师评语有效地提高了学生的自我调节学习能力(Cohen's d=1.08,p=0.000)和学习动机(Cohen's d=0.59,p=0.003),对学生的深度访谈结果表明,生成式评语能作为考试的一种总结反思工具,体现了教师对学生个性化的关注和鼓励。研究结果为人工智能技术助力个性化、精准化教学提供了研究思路,为教育环境中持续评估和改进生成式人工智能技术的使用提供了建议。

小学数学“教—学—评”一致性的教学行动模型

“教—学—评”一致性具有重大的价值意蕴,但在实践教学中面临着要素缺失、要素脱节等现象。“教—学—评”一致性是在目标统领下一致性地思考教学、学习和评价的问题,即“教—学—评”所指向结果的一致性和“教—学—评”过程的协同性。在此基础上,构建素养导向的小学数学“教—学—评”一致性的教学行动模型,其实施要点如下:建立学习内容与素养表现的关联;制订并评估素养导向的单元学习目标;目标指引下开展“教—学—评”一体化设计。

基于突变理论和模糊数学的湖库型水源地风险评价

为科学评估湖库型水源地风险评价等级,以茂名市电白区罗坑水库水源地为例,从水要素、管理要素、社会经济要素3方面构建了湖库型水源地风险评价指标体系,并确定各指标的评价标准,基于突变理论和模糊数学构建了风险评价模型。结果表明:水源地风险等级与水源地建设投入关系密切。自2018年罗坑水库水源地划为饮用水水源地以来,随着水源地建设投入的加大和保护力度的增强,水源地风险逐渐降低。2018-2022年,罗坑水库水源地风险评价等级依次为较高风险、较高风险、中风险、较低风险、较低风险;尽管现在罗坑水库风险较低,但后续罗坑水库仍需加大投入力度,提高水源地管理、监控和应急水平、进一步降低风险等级。

国内外量感研究评析与启示

量感作为《义务教育数学课程标准(2022年版)》新增加的核心素养表现,是数学课程的重要内容.量感是对事物可测量属性及大小关系的感知,体现对事物进行量化的思维能力.在整合国内外量感研究的基础上,厘清量感的概念,构建由量的感知、量的换算、量的估计和量的推理组成的量感结构模型,并对量感测评框架的构建提出注重测评方法的多元化和凸显测评任务的情境性等建议.

工程数学课程过程性考核方式探究与实践

文章基于新时代创新型人才培养理念,针对目前工程数学课程过程性考核中存在的问题,在实践中开展了多层次的过程性考核新模式改革。首先,注重教学过程的考核,通过平时成绩督促和检查学生完成学习任务的情况;其次,采用随堂考试,考核学生基础知识的掌握情况;最后,引入实践作业,鼓励学生理论联系实际,考查学生团队解决问题的能力。实践表明,该模式能够激发学生的学习兴趣和好奇心,增加学生的课堂参与度,实现高等数学、工程数学等多门课程融合,提高学生的团队合作能力、分析解决问题能力和创新实践能力。

数理统计在评审专家工作质量量化考核中的应用——以湖南省职业院校2021和2022届毕业设计抽查为例

通过分析评审项目的现状和意义,简要介绍了数理统计技术,并以湖南省职业院校2021和2022届毕业设计抽查结果为例,进行统计分析,量化评审专家的评审误差,设计了一套简便易行的,定性指标与定量指标相结合、数据分析结果为量化依据的专家量化考核评价体系。

基于多种数理模型及其融合的察雅县城滑坡易发性评价

不同滑坡易发性评价模型的选择将得到差异化的空间预测结果,筛选出最优的模型是提高滑坡空间预测精度的有效方法。以西藏察雅县城滑坡为研究对象,选取了3类8个评价因子,在采用确定性系数(certainty factor,CF)、频率比(frequency ratio,FR)、信息量(information,I)和证据权(weight-of-evidence,WoE)4种单一模型评价研究区滑坡易发性的基础上,同时使用归一化融合和主成分分析(principal component analysis,PCA)融合方法对4种单一模型的评价结果进行融合,得到6组滑坡易发性区划图。研究结果表明,6种模型从低易发区到极高易发区,频率比值均呈现出显著的增长趋势,且高、极高易发性等级区内频率比值之和与总值之比均超过97%,均有效地评价了研究区滑坡的易发性。通过构建受试者工作特征(receiver operating characteristics,ROC)曲线分析评价模型的效果,显示主成分分析融合模型、证据权模型和信息量模型具有较高的曲线下面积(area under curve,AUC),综合高、极高易发区频率比值结果来看,使用PCA融合后的评价模型效果更佳。研究填补了藏东高原山区多模型对比研究的欠缺,为该地区的滑坡预测和预防提供了一定的科学依据。

食源性致病菌交叉污染风险的数学模拟及精准防控策略研究进展

食源性致病菌交叉污染是食品加工生产、贮藏运输、家庭消费等环节中广泛存在的一种现象,被视为导致食源性疾病暴发的重要原因之一。运用数学模型模拟食源性致病菌在不同食品媒介中的转移情况,能够帮助人们理解食源性致病菌交叉污染的传播规律。进一步将交叉污染模型与微生物风险评估相结合,明确交叉污染发生的关键环节,并配合一系列新型的抗菌涂层设计,将能有效地预防和控制交叉污染的发生。因此,本文首先综述了食品工业及家庭生活中致病菌交叉污染导致的食品安全问题,并详细地概述食源性致病菌交叉污染数学建模的最新研究进展,最后通过全局控制和源头控制两个层面,分别阐述了微生物风险评估与危害分析与关键控制点相结合和抗菌涂层在食源性致病菌交叉污染防控中的应用,并对交叉污染未来的研究方案和控制策略提出了展望。

面向“离散数学”的学习过程性考核研究与实践

目前各高校“离散数学”课程主要采用单一的闭卷式考试进行课程考核,不利于培养学生的思维能力和综合素质。文中旨在研究适用于安徽大学“离散数学”课程教学的过程性考核评价方案。首先,采用雨课堂实现课前预习、课堂互动、实时监控和课后反馈等全过程的教学活动。其次,利用优慕课智慧平台对丰富的教学资源进行有效管理,并设计试题库和案例库。最后,制定综合考虑平时作业、考试、课堂表现和课程创新等多个方面的评价指标和权重的过程性考核方案以及相应的分数计算公式,以便更客观全面地评估学生的学习情况和能力发展。通过智慧教学平台的过程性考核改革,完善过程性考核标准,实行“离散数学”课程考核方式的全面改革。

新高考十年数学科考试内容改革:成就、挑战与转向

新高考启动十年来,数学科贯彻高考内容改革要求,在考查目标、考查内容、考查要求、试题形式、试卷结构、难度调控等方面持续深化改革,加强数学思维和核心素养考查,进一步增强学科育人功能,提升人才选拔质量。面对拔尖创新人才选拔培养等新要求,针对学生能力水平差异较大、试题难度的年度间波动等挑战,应进一步完善考试目标,制定有针对性的考查策略,研究适合不同地区学生的卷种、题型和试卷结构,科学调控难度,充分发挥考试评价的积极导向作用,提升人才自主培养质量,助力教育强国建设。

高考数学逻辑思维能力测评工具的实证研究

以教育实证为研究范式,以质性与量化混合运用为研究方法,探索高考数学逻辑思维能力测评工具.首先,采用定性文本分析,构建了由3项一级指标和9项二级指标构成的高考数学逻辑思维能力发展水平的测评指标体系;其次,基于测评指标体系,编制了测试卷,检验、修正了测评指标体系;最后,借助德尔菲法、问卷信效度检测与验证性因子分析方法,基于测评指标体系,构建了高考数学逻辑思维能力发展水平的测评模型:L=0.32L_(1)+0.33L_(2)+0.35L_(3) .实践表明,所构建的测评指标体系与测评模型科学、合理、可操作,能够作为高考数学逻辑思维能力的测评工具.