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Problem-solving in a real-life context: An approach during the learning of inequalities 在现实生活中解决问题:不等式学习过程中的一种方法
Q3 Social Sciences Pub Date : 2024-01-01 DOI: 10.30935/scimath/13828
Helena Rocha, Floriano Viseu, Sara Matos
This study was conducted while 9th grade students learn to solve inequalities and seeks to understand their approach to solving problems with a real-life context. Specifically, the aim is to understand: (1) What are the main characteristics of the students’ approaches to the proposed problems? (2) What is the impact of the real context on the students’ resolutions? A qualitative and interpretative methodology is adopted, based on case studies, with data collected through documentary collection and audio recording of discussions between a pair of students while solving problems. The main conclusions suggest a trend to approach problems without establishing immediate connections with what was being done in the classroom, with students’ decisions being essentially guided by criteria of simplicity. The real context of the problems seems to have the potential to develop in students a more integrated mathematics, focused on understanding and not so much on the repetition of mechanical and meaning-independent procedures. The students’ familiarization with the context in question is one of the aspects highlighted by this study.
本研究是在九年级学生学习解不等式时进行的,旨在了解他们结合实际生活背景解决问题的方法。具体来说,目的是了解:(1) 学生解决所提问题的方法有哪些主要特点?(2) 真实情境对学生解决问题的影响是什么?研究采用了定性和解释的方法,以案例研究为基础,通过文献收集和一对学生在解决问题时的讨论录音来收集数据。主要结论表明了一种趋势,即在处理问题时没有与课堂上所做的事情建立直接联系,学生的决定基本上以简单性标准为指导。问题的真实情境似乎有可能培养学生更综合的数学能力,注重理解,而不是机械地重复与意义无关的程序。学生对问题情境的熟悉是本研究强调的一个方面。
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引用次数: 0
Does the use of the calculator reduce anxiety in the study of differential and integral calculus? 使用计算器是否会减少微积分和微积分学习中的焦虑?
Q3 Social Sciences Pub Date : 2024-01-01 DOI: 10.30935/scimath/13867
Jaime Segarra, A. Cabrera-Martínez
The objective of this research is to study if the use of the calculator decreases students’ anxiety in the subject of differential and integral calculus. Specifically, the research is carried out with 30 engineering students. Auzmendi anxiety factor questions are used to measure anxiety. The study is carried out in two moments; in the first the calculator is not used and in the second if they use it. In the second case, the calculator is used in problems involving the application of derivatives and integrals. The results indicate that the students reduce their anxiety when they use the calculator. Thus, in seven of the nine questions, students who use the calculator obtain a higher mean, it helps to reduce anxiety. In general, t-student test indicates that the moment students use the calculator they have less anxiety, and it helps to reduce errors in the mathematical process. Teachers should consider the calculator as a resource that motivates the student and helps reduce anxiety. In addition, the use of the calculator helps to reduce mathematical errors in basic operations and in the application of derivatives and integrals.
本研究的目的是探讨计算器的使用是否会降低学生在微积分和微积分科目中的焦虑感。具体来说,研究对象是 30 名工科学生。使用奥兹门迪焦虑因子问题来测量焦虑程度。研究分两种情况进行:第一种情况是不使用计算器,第二种情况是使用计算器。在第二种情况下,计算器用于涉及导数和积分应用的问题。结果表明,当学生使用计算器时,他们的焦虑会减少。因此,在 9 个问题中,有 7 个问题使用计算器的学生平均分较高,这有助于减轻焦虑。总之,t-学生测试表明,学生一使用计算器,焦虑就会减少,而且有助于减少数学过程中的错误。教师应将计算器视为一种资源,它能激发学生的积极性,有助于减少焦虑。此外,使用计算器还有助于减少基本运算以及导数和积分应用中的数学错误。
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引用次数: 0
Assessing the added value of a history-based activity for students with low mathematics skills 评估以历史为基础的活动对数学能力差的学生的附加值
Q3 Social Sciences Pub Date : 2024-01-01 DOI: 10.30935/scimath/13868
Thomas De Vittori, Gaëlle Louaked, Marie-Pierre Visentin
The aim of this pilot study is to evaluate the relevance of the use of history in mathematics education. This paper presents an experiment carried out in France with sixth-grade students (n=108) in which an ancient number system is used, an approach that is commonly suggested in French sixth-grade textbooks but has previously been unassessed. Based on the data of a pre-test and a post-test surrounding an activity on an ancient Chinese numeration system, a statistical analysis using Rasch modeling shows a specific added value of the history of mathematics for students with low abilities in mathematics. For these students, a significant increase in observed abilities of +0.67 logit in mean is measured with a large effect size (Cliff delta +0.52). This effect is then weighted by considering the regression to the mean (RTM) effect, leading to a value around +0.14 logit in mean and a negligible effect size (Cliff delta +0.10). So, this pilot study shows the important effect of RTM, which suggests a very strong rebalancing of students’ results. In the last part of the paper, we discuss how RTM can nonetheless be positively interpreted in this specific context where students’ disorientation is one of the purposes of history in mathematics education.
这项试点研究的目的是评估在数学教育中使用历史的相关性。本文介绍了在法国进行的一项实验,实验对象是六年级学生(人数=108),实验中使用了古代数字系统,这种方法在法国的六年级教科书中很常见,但以前从未进行过评估。根据围绕中国古代数字系统活动进行的前测和后测数据,使用 Rasch 模型进行的统计分析显示,数学史对数学能力较低的学生具有特殊的附加值。对这些学生而言,观察到的能力明显提高,平均提高了+0.67 logit,效应大小较大(Cliff delta +0.52)。然后,考虑到平均值回归效应(RTM),对这一效应进行加权,得出的平均值约为 +0.14 logit,效应大小可忽略不计(Cliff delta +0.10)。因此,这项试点研究显示了 RTM 的重要效应,表明学生的成绩有很强的再平衡能力。在本文的最后一部分,我们将讨论如何在学生迷失方向是数学教育史的目的之一这一特定背景下,对 RTM 进行积极的解释。
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引用次数: 0
First-year engineering students’ affective behavior about mathematics in relation to their performance 工科一年级学生的数学情感行为与成绩的关系
Q3 Social Sciences Pub Date : 2024-01-01 DOI: 10.30935/scimath/13884
A. Panaoura, Marios Charalambides, Eleni Tsolaki, Savvas Pericleous
The present study examines the first-year engineering students’ attitudes towards mathematics, their beliefs and self-efficacy about mathematics, as part of their affective performance, in relation to their mathematical academic performance before and after attending an introductory mathematics course. It aims to contribute on the ongoing discussion about the teaching of mathematics at the level of higher education in engineering programs. First-year engineering students completed a questionnaire and a test after their entrance at the university. Their mathematical performance was examined by using their results at the midterm and the final mathematical mark during AMAT111 course offered at the first semester of their studies. Results indicated that aspects of the affective domain were related with students’ performance, while the predominant role belonged to their previous mathematical knowledge and skills (as learning outcome of the high school education), which undoubtedly need further enhancement. The belief about a formalistic perspective of mathematics and the lack of understanding of the implementation of the mathematical concepts on engineering problem solving situations were obstacles for them on recognizing the importance of attending mathematics courses as part of their engineering studies. Discussion concentrates on the following up steps, which have to be done at the level of higher education in order to face the initial difficulties, which have been identified.
本研究考察了工科学生一年级学生对数学的态度、他们对数学的信念和自我效能感,作为他们情感表现的一部分,与他们在学习数学入门课程前后的数学学习成绩之间的关系。该研究旨在为正在进行的关于高等工科数学教学的讨论做出贡献。工程学专业的一年级学生在入学后填写了一份问卷并参加了一次测试。在第一学期开设的 AMAT111 课程中,通过期中和期末数学成绩对他们的数学表现进行了考察。结果表明,情感领域的一些方面与学生的成绩有关,而起主要作用的是他们以前的数学知识和技能(作为高中教育的学习成果),这无疑需要进一步提高。对数学的形式主义观点的信念和对数学概念在工程问题解决情境中的应用缺乏理解,是他们认识到数学课程作为工程学习的一部分的重要性的障碍。讨论主要集中在后续步骤上,这些步骤必须在高等教育阶段完成,以应对已发现的初 步困难。
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引用次数: 0
Modelling-based pedagogy as a theme across science disciplines–Effects on scientific reasoning and content understanding 跨科学学科的以建模为基础的教学法——对科学推理和内容理解的影响
Q3 Social Sciences Pub Date : 2023-10-01 DOI: 10.30935/scimath/13516
K. Malone, A. Schuchardt
Due to the increased use of scientific models and modelling in K-12 education, there is a need to uncover its effects on students over time. Prior research has shown that the use of scientific modelling in K-12 classes is associated with improved conceptual knowledge and problem-solving skills. However, few studies have explicitly tested the longitudinal benefits of using model-based instruction on students’ scientific reasoning skills (SRS) and content knowledge. This paper studies the effects of the use of modelling-based pedagogy in a longitudinal comparative case study on students’ SRS using hierarchical linear modeling. Our findings showed that initial exposure to modelling-based instruction increased scientific reasoning scores significantly. By the end of their first year of science instruction, the average high school freshman in our study achieved the scientific reasoning level of many undergraduate STEM majors. More importantly, students in the lowest quartile of scientific reasoning demonstrated increased scores over the three years of the modeling-based course sequence. In addition, reasoning scores in the modelling classes were a significant predictor of post-content knowledge in all subjects. Our results suggested that students should be exposed to model-based instruction early and consistently to achieve equity in science instruction.
由于在K-12教育中越来越多地使用科学模型和建模,有必要揭示其随着时间的推移对学生的影响。先前的研究表明,在K-12课程中使用科学建模与提高概念知识和解决问题的能力有关。然而,很少有研究明确测试了使用基于模型的教学对学生科学推理技能(SRS)和内容知识的纵向效益。本文以分层线性模型为研究对象,对基于模型教学法的学生自主学习行为进行了纵向比较研究。我们的研究结果表明,最初接触基于建模的教学显著提高了科学推理分数。在第一年的科学教学结束时,我们研究的高中新生平均达到了许多本科STEM专业的科学推理水平。更重要的是,在以建模为基础的课程序列的三年里,科学推理能力最低四分之一的学生表现出了更高的分数。此外,建模课的推理分数是所有科目内容后知识的显著预测因子。我们的研究结果表明,学生应该尽早和持续地接触基于模型的教学,以实现科学教学的公平。
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引用次数: 0
Following up on the impact of a distance learning teachers’ professional development program in science: Α longitudinal case study 科学领域远程教育教师专业发展计划之影响追踪:Α纵向个案研究
Q3 Social Sciences Pub Date : 2023-10-01 DOI: 10.30935/scimath/13721
Eirini Tzovla, Katerina Kedraka
This paper follows up on the impact of a distance learning teachers’ professional development program on their self-efficacy beliefs in the long term. Specifically, it measures the personal self-efficacy beliefs and outcome expectancy beliefs of a group of 122 in-service elementary teachers before the start of the program, immediately after its completion, and two years later. The quantitative was used as the data collection method of the research. The results advocate that both the personal self-efficacy beliefs and the outcome expectancy beliefs of the research participants improved immediately after the program was completed and the former remained relatively improved two years after completion of the program, while the latter returned to the levels they had had before attending the program. Recommendations are made for future research.
本文对远程教育教师专业发展计划对其自我效能感信念的长期影响进行了跟踪研究。具体而言,它测量了122名在职小学教师在项目开始前,项目完成后立即和两年后的个人自我效能感信念和结果期望信念。本研究采用定量分析作为数据收集方法。研究结果表明,研究对象的个人自我效能感信念和结果期望信念在项目结束后立即得到改善,项目结束后两年仍保持相对改善,而项目结束后两年则恢复到参加项目前的水平。对今后的研究提出了建议。
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引用次数: 0
Mental calculation achievement according to teaching approach: A study with eye-tracking from a neurocognitive approach 基于教学方法的心理计算成绩:一项基于神经认知方法的眼动追踪研究
Q3 Social Sciences Pub Date : 2023-10-01 DOI: 10.30935/scimath/13459
Malena Manchado Porras, Inmaculada Menacho Jiménez, Jose Carlos Piñero-Charlo, M. Canto-López
Currently mathematics difficulties in schools are a major problem due to several factors. Some research suggest that mathematics teaching-learning methodology could be one of the causes. As a result, alternative teaching methods to the traditional approach (ciphers-based closed algorithm [CBC]) have emerged, such as numbers-based open algorithm (ABN) method. Some research about this new approach has emerged, including neuropsychological studies. The current study aims to analyze performance and potential cognitive differences in solving a computerized task linked to eye-tracking device, comparing CBC and ABN approaches. 18 5th & 6th graders participants were evaluated through a computerized mental arithmetic task. Nine participants learned mathematics with CBC, and nine with ABN approach. Participants were distributed according to his/her mathematical performance rate in three sub-groups, three students per sub-group: low, medium, and high. The ABN method group obtained a higher overall score in the computerized task (mean [M]CBC=16.22; MABN=17.11), but the differences were not statistically significant (p=.690). However, significant differences have been found in two eye-tracking measures. ABN method group obtained a lower number of fixations average in areas of interest [AOIs]) (MCBC=5.01; MABN=3.85; p=.001), and a lower pupil diameter average in AOIs (MCBC=4.07; MABN=3.91; p=.001). This occurred regardless of the participants’ mathematical performance. These results suggest that differences between groups were not in task performance, but in cognitive effort spent in solving the task.
目前学校的数学困难是一个主要问题,由于几个因素。一些研究表明,数学教学方法可能是原因之一。因此,传统的基于密码的封闭算法(CBC)教学方法出现了替代方法,如基于数字的开放算法(ABN)教学方法。一些关于这种新方法的研究已经出现,包括神经心理学研究。目前的研究旨在分析在解决与眼球追踪设备相关的计算机化任务时的表现和潜在的认知差异,比较CBC和ABN方法。18名五年级和六年级的参与者通过计算机心算任务进行评估。9名参与者使用CBC学习数学,9名参与者使用ABN方法学习数学。根据参与者的数学成绩分成三个小组,每个小组有三个学生:低、中、高。ABN方法组在计算机化任务中获得更高的总分(mean [M]CBC=16.22;MABN=17.11),但差异无统计学意义(p= 0.690)。然而,在两种眼球追踪方法中发现了显著的差异。ABN法组在感兴趣区域(aoi)平均固定次数较低(MCBC=5.01;MABN = 3.85;p=.001), aoi患者的平均瞳孔直径较低(MCBC=4.07;MABN = 3.91;p =措施)。不管参与者的数学表现如何,这种情况都会发生。这些结果表明,两组之间的差异不在于任务表现,而在于解决任务所花费的认知努力。
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引用次数: 0
Environmental education in the school system at elementary schools in Slovakia 斯洛伐克小学学校系统中的环境教育
Q3 Social Sciences Pub Date : 2023-10-01 DOI: 10.30935/scimath/13377
Veronika Piscová, Jarmila Lehotayová, J. Hreško
Environmental education (EE) in elementary schools (6 − 15 years old) in Slovakia is not systematically defined, it is often dependent on the voluntary efforts and enthusiasm of teachers. Schoolchildren acquire environmental knowledge in a limited form during the teaching of individual subjects, especially Biology, Geography and to some extent, also Chemistry, Physics etc. In elementary schools, the school subject of EE is absent. Therefore, the aim of the presented study is to find out the current situation in formal and informal EE at elementary schools in Slovakia. We gathered data on formal EE in the form of a google questionnaire survey, in which only 18% of all elementary schools in Slovakia were willing to participate. Through some questions in the google questionnaire, these elementary schools also provided informations about the inclusion of formal, informal and non-formal education at elementary schools. Our SWOT analysis indicate a need for systematic EE in elementary schools, as well as improvements of teaching materials and teacher training in this area. At the same time, we present the EE model at the Rakovec nad Ondavou Elementary School with Kindergarten, which is included in the Green School Network and actively involved in Erasmus projects providing the opportunity to implement part of the study and internships abroad.
斯洛伐克小学(6 - 15岁)的环境教育(EE)没有系统的定义,它往往依赖于教师的自愿努力和热情。学生在个别科目的教学中以有限的形式获得环境知识,特别是生物、地理,在某种程度上也包括化学、物理等。在小学,学校的情感表达学科是缺席的。因此,本研究的目的是找出斯洛伐克小学正式和非正式情感表达的现状。我们以谷歌问卷调查的形式收集了关于正式情感表达的数据,其中斯洛伐克只有18%的小学愿意参与。通过谷歌问卷中的一些问题,这些小学还提供了关于小学纳入正规教育、非正规教育和非正规教育的信息。我们的SWOT分析表明,小学需要系统的情感表达,并且需要改进这方面的教材和教师培训。与此同时,我们在Rakovec and Ondavou小学和幼儿园展示了EE模型,该幼儿园被纳入绿色学校网络,并积极参与伊拉斯谟项目,提供了部分出国学习和实习的机会。
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引用次数: 1
Practical problem-solving tasks for meaningful learning and retention in college chemistry for pre-service teachers 职前教师在大学化学中有意义学习和记忆的实际问题解决任务
Q3 Social Sciences Pub Date : 2023-10-01 DOI: 10.30935/scimath/13497
V. C. Handa, V. Talisayon
This study investigated the influence of practical problem-solving tasks (PPST) in promoting meaningful learning (ML) and retention in a nonlaboratory chemistry component of a physical science course for pre-service teachers (PSTs). It utilized a mixed-methods research using a modified quasi-experimental design followed by a detailed analysis of change in the conceptual understanding of case participants. The researcher employed mechanical and statistical matching to select 80 participants in two intact groups. The study’s findings revealed that using PPST as a mode of instruction significantly promoted ML and meaningful retention of chemistry concepts. The study generated patterns of explanation, patterns of change in the level of conceptual understanding, and patterns of regression in understanding. The study further argued that PSTs exposed to PPST experienced ML as evidenced by (1) the outcome–significant differences in performances in ML and meaningful retention tests, (2) the process–qualitative evidence of positive change in conceptual understanding, and (3) the context–use of PPST designed for PSTs to engage in a learning process meaningfully. This study called for further research on the inclusion of PPST in other nonlaboratory classes in chemistry and other science subjects, both at secondary and tertiary level.
本研究调查了实际问题解决任务(PPST)在促进职前教师物理科学课程非实验室化学部分的有意义学习(ML)和记忆的影响。它利用混合方法的研究,使用改进的准实验设计,然后在案例参与者的概念理解变化的详细分析。研究人员采用机械和统计匹配的方法,将80名参与者分为两组。研究结果表明,使用PPST作为一种教学模式,可以显著促进化学概念的学习和有意义的保留。该研究产生了解释模式、概念理解水平的变化模式和理解的回归模式。本研究进一步认为,接触过PPST的学生经历了学习,这可以通过以下几个方面得到证明:(1)结果-在学习和有意义的记忆测试中的表现显著差异,(2)在概念理解方面的积极变化的过程-定性证据,以及(3)为学生有意地参与学习过程而设计的PPST的情境使用。这项研究呼吁进一步研究将PPST纳入中学和大学化学和其他科学学科的其他非实验课程。
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引用次数: 0
STEM professional development programs for science and mathematics primary school teachers: A systematic literature review 科学与数学小学教师STEM专业发展计划:系统文献综述
Q3 Social Sciences Pub Date : 2023-10-01 DOI: 10.30935/scimath/13629
Afizal Abd Ghani, R. Rosli, Zanaton H. Iksan, Lilia Halim, Kamisah Osman, S. Maat, Siti Nur Diyana Mahmud, M. S. Mahmud, Azmin Shah Rambely, Ah-Nam Lay
In order to compete worldwide, the school system must be transformed by raising educational standards by implementing the science, technology, engineering, and mathematics (STEM) education approach. The purpose of the primary school curriculum is closely aligned with the teaching goals of STEM education, which is to develop each child’s full potential, foster an interest in learning and promote children to develop skills in life. Training qualified science and mathematics primary teachers through professional development (PD) programs is necessary to raise young children who are knowledgeable and skilled in STEM. Therefore, a systematic literature review examined the significance and implementation of STEM PD programs for science and mathematics primary school teachers. The Scopus and Web of Science databases were utilized to find articles written and published between 2018 and 2022. This review gathered 22 articles and produced 14 subthemes under the main themes: Significance and the implementation of STEM PD for primary school teachers. Recommendations for further research are stated at the end of this paper.
为了在全球范围内竞争,必须通过实施科学、技术、工程和数学(STEM)教育方法来提高教育标准,从而改变学校系统。小学课程的目的与STEM教育的教学目标紧密一致,即开发每个孩子的全部潜力,培养学习兴趣,并促进孩子发展生活技能。通过专业发展(PD)计划培训合格的科学和数学小学教师对于培养知识渊博、精通STEM的幼儿是必要的。因此,一项系统的文献综述考察了STEM PD计划对小学科学和数学教师的意义和实施情况。Scopus和Web of Science数据库用于查找2018年至2022年间撰写和发表的文章。这篇综述收集了22篇文章,并产生了14个子主题:小学教师STEM PD的意义和实施。本文最后提出了进一步研究的建议。
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引用次数: 0
期刊
European Journal of Science and Mathematics Education
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