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Numerical Literacy and Math Self-Concept: Children-Friendly Learning in Inclusive Elementary Schools 数字素养与数学自我概念:全纳小学儿童友好学习
Q3 Social Sciences Pub Date : 2023-03-15 DOI: 10.12973/ejmse.4.1.19
D. S., S. B., S. Sugiman, Y. L. Sukestiyarno
Numerical literacy refers to the knowledge and ability to use various numbers and basic mathematical symbols to solve problems, while math self-concept means the assessment of students’ skills, abilities, enjoyment, and interest in the subject. However, children with special needs and normal students in inclusive Elementary Schools are yet to sufficiently acquire learning that accommodates literacy and maths self-concept. This causes a need for the implementation of a children-friendly learning process. Therefore, this study aimed to identify the factors influencing the numeracy level and math self-concept, and also explore the obstacles in implementing children-friendly learning in order to facilitate students’ abilities. A qualitative method was applied because of in-depth data exploration regarding children with special needs, while the utilized instruments include tests, questionnaires, and interviews. Both the data collected and the analysis are qualitative, which are obtained through excavation, identification, and description. Consequently, this paper was able to (a) describe the factors influencing the numeracy level and math self-concept in inclusive elementary schools; (b) explore the barriers to implementing children-friendly learning; and (c) identify the relationship between students’ numeracy and math self-concept.
数字素养是指使用各种数字和基本数学符号解决问题的知识和能力,而数学自我概念是对学生对学科的技能、能力、享受和兴趣的评价。然而,在全纳小学中,有特殊需要的儿童和正常学生尚未充分获得与识字和数学自我概念相适应的学习。这就需要实施一种对儿童友好的学习过程。因此,本研究旨在找出影响数学水平和数学自我概念的因素,并探讨实施儿童友好学习的障碍,以促进学生的能力发展。由于对有特殊需要的儿童进行了深入的数据探索,因此采用了定性方法,而使用的工具包括测试、问卷调查和访谈。收集的数据和分析都是定性的,是通过挖掘、鉴定和描述获得的。因此,本文能够(a)描述影响全纳小学数学水平和数学自我概念的因素;(b)探讨实施儿童友好学习的障碍;(c)识别学生算术能力与数学自我概念之间的关系。
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引用次数: 0
Synchronous and Asynchronous Modalities for Mathematics Instruction during the Covid-19 Pandemic Covid-19大流行期间数学教学的同步和异步模式
Q3 Social Sciences Pub Date : 2023-03-15 DOI: 10.12973/ejmse.4.1.79
Freddie R.
The purpose of this study was to evaluate synchronous and asynchronous mathematics teaching modalities at Isabela State University. The qualitative research method was used to collect information, opinions, and experiences of Isabela State University mathematics faculty in employing synchronous and asynchronous modes in teaching mathematical courses in terms of strengths, weaknesses, possibilities, and problems. The study's subjects were 15 Mathematics Instructors chosen at random from Isabela State University's nine campuses. A structured interview was created and distributed to participants using Google Form. The limitations on face-to-face encounters prompted the use of such data-gathering technique. The researcher followed up with another video call interview to validate the participants' responses. The data was transcribed and processed using thematic analysis. The findings demonstrated that the synchronous and asynchronous learning modalities both have strengths and disadvantages that influence the quality of the teaching-learning process throughout the epidemic. Given this, distant learning is thought to be more effective when both modalities are used rather to just one of the aforementioned. This is because the strengths of one of the two modalities can solve the flaws highlighted in the other. As a result, mathematics instructors may receive more in-depth training in both asynchronous and synchronous teaching approaches, as well as strategies for becoming more successful teachers during the present school closures.
摘要本研究旨在探讨伊莎贝拉州立大学同步与非同步数学教学模式。采用定性研究的方法,收集伊莎贝拉州立大学数学教师在采用同步和异步模式教学数学课程的优势、劣势、可能性和问题方面的信息、意见和经验。这项研究的对象是从伊莎贝拉州立大学的9个校区随机挑选的15名数学教师。创建了一个结构化的访谈,并使用Google表单分发给参与者。面对面接触的限制促使使用这种数据收集技术。研究人员随后进行了另一次视频电话采访,以验证参与者的回答。使用专题分析对数据进行转录和处理。调查结果表明,同步和非同步学习方式各有优缺点,影响整个疫情期间教学过程的质量。考虑到这一点,远程学习被认为是更有效的,当这两种模式的使用,而不是只上述一种。这是因为两种模式中的一种的优势可以解决另一种模式中突出的缺陷。因此,数学教师可以在异步和同步教学方法方面接受更深入的培训,以及在目前学校关闭期间成为更成功的教师的策略。
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引用次数: 0
Using Interactive Presentations to Promote Mathematical Discourse 利用互动展示促进数学话语
Q3 Social Sciences Pub Date : 2023-03-15 DOI: 10.12973/ejmse.4.1.1
Aehsan Haj-Yahya, Sondos Aegbaria

The current study investigated whether: (1) using an interactive presentation (IP) platform could affect the amount of usage of the practices of making orchestrating mathematical discourse- sequencing and connecting students' responses. (2) using an interactive presentation (IP) platform could affect the amount of narratives constructed by students. Fifty seventh-grade students participated in the study; those students were divided into control and experimental groups. Qualitative and quantitative analyses were performed based on voice recordings and field notes. The results revealed that the teacher using (IP) asked nearly three times more questions that connected students’ responses (i.e., questions that involved valuing students' ideas, exploring students' answers, incorporating students’ background knowledge, and encouraging student-to-student communication). We also saw that the students participated in the learning processes. The students in the experimental group presented three times as many narratives as those in the control group. We present several excerpts from the transcripts of the classroom discussions to illustrate our findings. Discussion of the implications and limitations of these results and make recommendations based on those results.

<p style="text-align: justify;">目前的研究调查了:(1)使用交互式演示(IP)平台是否会影响编排数学话语-排序和连接学生回答的实践的使用量。(2)使用互动呈现(IP)平台会影响学生建构叙事的数量。57名七年级学生参与了这项研究;这些学生被分为对照组和实验组。根据录音和现场记录进行定性和定量分析。结果显示,使用(IP)的教师提出的与学生的回答相关的问题(即,涉及重视学生的想法、探索学生的答案、结合学生的背景知识和鼓励学生与学生交流的问题)的数量增加了近三倍。我们还看到学生们参与了学习过程。实验组的学生讲述的故事是对照组的三倍。我们从课堂讨论的文字记录中摘录了几段来说明我们的发现。讨论这些结果的影响和局限性,并根据这些结果提出建议。
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引用次数: 0
Mathematics Teachers’ Geometric Thinking: A Case Study of In-service Teachers’ Constructing, Conjecturing, and Exploring with Dynamic Geometry Software 数学教师的几何思维——以在职教师运用动态几何软件进行建构、猜想与探索为例
Q3 Social Sciences Pub Date : 2023-03-15 DOI: 10.12973/ejmse.4.1.65
Samuel Obara, Bikai Nie
Many research studies have been conducted on students’ or pre-service teachers’ geometric thinking, but there is a lack of studies investigating in-service teachers’ geometric thinking. This paper presents a case study of two high school teachers who attended the dynamic geometry (DG) professional development project for three years. The project focused on the effective use of dynamic geometry software to improve students’ geometry learning. The two teachers were interviewed using a task-based interview protocol about the relationship between two triangles. The interviews, including the teachers' work, were videotaped, transcribed, and analyzed based on the three levels of geometric thinking: recognition, analysis, and deduction. We found that the participating teachers manifested their geometric skills and thinking in constructing, exploring, and conjecturing in the DG environment. The study suggests that the DG environment provides an effective platform for examining teachers' geometric skills, and levels of geometric thinking and encourages inductive explorations and deductive skill development.
对学生或职前教师几何思维的研究较多,但对在职教师几何思维的研究较少。本文以两位高中教师为研究对象,参与了三年的动态几何专业发展计划。本项目重点研究如何有效利用动态几何软件提高学生的几何学习效果。对两位教师进行了基于任务的访谈,探讨了两个三角形之间的关系。访谈,包括教师的工作,被录影,转录,并分析基于三个层次的几何思维:识别,分析和演绎。我们发现,参与的教师在DG环境中表现出了建构、探索和猜想的几何技能和思维。研究表明,DG环境为教师的几何技能和几何思维水平提供了一个有效的测试平台,并鼓励归纳探索和演绎技能的发展。
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引用次数: 0
Classroom discourse in single-sex physics classes: A case study 单性别物理课堂话语的个案研究
Q3 Social Sciences Pub Date : 2023-01-01 DOI: 10.30935/scimath/12564
Ayala Raviv, Ester Aflalo
This case study examined the characteristics of classroom discourse during physics lessons in two single-sex high school classes–a boys’ vs. a girls’ class. All lessons were taught by the same teacher and covered the same topics. For each class, six lessons were recorded, transcribed, and coded and the characteristics of the discussion were counted, including the number of words spoken by the teacher and students, the number of open-ended and closed-ended questions posed, and the number of open and closed discourse segments and their initiator. A total of 549 closed-ended questions, 1,151 open-ended questions, 139 closed and 168 open discourse segments were analyzed. A semi-structured interview was conducted with the teacher on his views of the discussion characteristic in his lessons and the differences he has observed between boys and girls in terms of these characteristics. The average number of all classroom discourse parameters examined was similar in both classes and no significant differences were observed. In both classes, the students participated very actively in the discourse throughout most of the lesson, both among themselves and with the teacher. From the teacher’s perspective, the differences in discussions between the classes, if any, are not related to the student’s gender, but rather to the character of the students and the classroom environment. The main conclusion that emerges from this study is that the girls’ discourse in a single-sex class does not differ significantly from the boys’ discourse, as discussed in the article.
本案例研究考察了两个单性别高中班(男生班和女生班)物理课上的课堂话语特征。所有课程都由同一位老师教授,涉及的主题相同。每节课记录、转录和编码六节课,并统计讨论的特点,包括教师和学生所说的单词数量、提出的开放式和封闭式问题的数量,以及开放式和闭合式话语片段及其发起人的数量。共分析了549个封闭式问题、1151个开放式问题、139个封闭式和168个开放式话语片段。对这位老师进行了半结构化访谈,了解他对课程中讨论特征的看法,以及他观察到的男孩和女孩在这些特征方面的差异。两个班的所有课堂话语参数的平均数量相似,没有观察到显著差异。在这两节课上,学生们在整个课程的大部分时间里都非常积极地参与到话语中,无论是在他们自己之间还是与老师之间。从老师的角度来看,班级之间讨论的差异(如果有的话)与学生的性别无关,而是与学生的性格和课堂环境有关。本研究得出的主要结论是,正如文章所讨论的,在单性别班级中,女孩的话语与男孩的话语没有显著差异。
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引用次数: 0
Solving word problems involving triangles by transitional engineering students: Learning outcomes and implications 过渡性工程学生解决涉及三角形的文字问题:学习成果与启示
Q3 Social Sciences Pub Date : 2023-01-01 DOI: 10.30935/scimath/12582
William Guo
Transitional engineering students are those who are academically ineligible to enter a bachelor’s engineering program but are enrolled in an associate engineering program with a university. Successful completion of such an associate engineering program allows the higher achievers to transfer to a full bachelor’s engineering program. The associate engineering program is taken commonly by self-employed tradesmen, technical workers, and young apprentices in regional, rural, and remote (RRR) areas. The foundation engineering mathematics course in the associate engineering program, particularly knowledge and skills in solving word problems involving triangles, plays a key role for the smooth transition of these students to the engineering disciplinary courses. However, there is little we have known about the performances of the transitional engineering students in solving problems involving triangles as the associate engineering programs are not among the mainstream of undergraduate programs. This study analyzed the 27 transitional engineering students’ performances in solving word problems involving triangles assigned to the students in the foundation mathematics course at a regional Australian university and found that the RRR transitional engineering students demonstrated a higher level of study ethics and achievement in solving word problems involving triangles, compared with the RRR student mathematics teachers. This seems mainly due to the professional experiences in delivering real-world projects prior to the start of their mathematics learning. Further research should be expanded to more areas of mathematics to gauge the overall performances of the transitional engineering students in mathematics learning and progression.
过渡工程专业的学生是指那些在学术上没有资格进入学士工程课程,但在大学注册了副工程课程的学生。成功完成这样的副工程课程可以让成绩较好的学生转到完整的工程学士课程。副工程课程通常由区域,农村和偏远地区的自雇商人,技术工人和年轻学徒参加。副工科专业的基础工程数学课程,特别是解决涉及三角形的文字问题的知识和技能,对于这些学生顺利过渡到工程学科课程起着关键作用。然而,我们对过渡工程专业学生在解决涉及三角形的问题方面的表现知之甚少,因为副工程专业不是主流的本科专业。本研究分析了27名过渡工程专业学生在澳大利亚一所地区大学基础数学课程中解决涉及三角形的文字问题的表现,发现与RRR学生数学教师相比,RRR过渡工程专业学生在解决涉及三角形的文字问题方面表现出更高的学习道德水平和成就。这似乎主要是由于在开始数学学习之前,他们在交付实际项目方面的专业经验。进一步的研究应扩展到更多的数学领域,以衡量过渡工程学生在数学学习和进步方面的整体表现。
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引用次数: 1
Physics teachers’ learning on the use of multiple representations in lesson study about Ohm’s law 物理教师在欧姆定律课堂学习中使用多重表征的学习
Q3 Social Sciences Pub Date : 2023-01-01 DOI: 10.30935/scimath/12906
Mauri Luís Tomkelski, M. Baptista, Adriana Richit
The article analyses teachers’ learning on the use of multiple representations (MRs) in the teaching of Ohm’s law, examining them in a lesson study, structured in 18 meetings of 2.5 hours each, that addressed this physics curricular topic for the 3rd grade of high school. The qualitative research involved four teachers who teach physics in Brazilian public schools. The empirical material of the study consists of the transcriptions of the audio recordings of the lesson study sessions, interviews with the teachers at the end of the process, and students’ written registers produced during the class. From the participating teachers’ perspective, the analysis showed that the emphasis on MRs improved the teaching of Ohm’s law because it helped them obtain complementary information - to correlate the different representations;  acquire a fuller and deeper understanding of the physics concept; connect the abstract to the concrete - carry out constraint interpretations – interpreting the physical concept by familiarity and inherent properties, and interpreting and transposing representations; construct in-depth understandings – interpretations and relationships between tables, graphs and generalization of equations; and develop investigative activities encompassing abstraction, extension, and the relationship between physical quantities. Considering the complexities of MRs, teachers examined what information is actually accessible to students and how they can use it, encouraging them to seek an effective way to integrate several representations to assist in the learning process.
本文分析了教师在欧姆定律教学中使用多重表征(MRs)的学习情况,并在一项课程研究中对他们进行了检验,该课程研究分为18次会议,每次会议2.5小时,讨论了高中三年级的物理课程主题。这项定性研究涉及四位在巴西公立学校教物理的教师。本研究的经验材料包括课程学习过程的录音记录,课程结束时对教师的采访,以及课堂上学生的书面记录。从参与教师的角度来看,分析表明,强调MRs改善了欧姆定律的教学,因为它帮助他们获得互补信息——将不同的表征联系起来;对物理概念有更全面、更深入的理解;将抽象与具体联系起来-进行约束解释-通过熟悉度和固有属性来解释物理概念,并解释和转换表征;构建深入的理解-解释和关系之间的表,图和方程的推广;并开展调查活动,包括抽象,扩展和物理量之间的关系。考虑到MRs的复杂性,老师们检查了学生真正可以获得的信息以及他们如何使用这些信息,鼓励他们寻求一种有效的方法来整合几种表征,以帮助学习过程。
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引用次数: 1
Learners’ issues in the preparation and qualitative analysis of salts topics in chemistry: Teachers’ perspectives 教师视角下的化学盐题制备与定性分析中的学习者问题
Q3 Social Sciences Pub Date : 2023-01-01 DOI: 10.30935/scimath/12789
Muhamad Furkan Mat Salleh, R. A. A. Rauf, R. M. Saat, Mohamad Hisyam Ismail
This study examines learners’ issues in learning the preparation and qualitative analysis of salts topic from Malaysian chemistry teachers’ perspectives. The researchers adopted a qualitative design and conducted semi-structured interviews with sixteen informants who have experience of teaching chemistry for more than five years. They were selected via purposive sampling. Document analysis was conducted to verify and supplement findings obtained from the interviews. The study reports five issues that emerged from the data analysis: negative perceptions, dealing with the number of information, imagining abstract concepts, mastery of basic knowledge and solving problems, and fulfilling the grading criteria. The study results confirm the unanimity of past studies on students’ unfavorable views on these topics and their struggle in learning abstract concepts involved in the salts formation and analysis. Besides, students’ issues are also significantly rooted in having weak prior knowledge of salts, affecting their ability to solve related problems. The study suggested that teachers must practice various approaches and strategies deemed effective in aiding learners in learning and be more selective in choosing approaches tailored to the individual students’ issues in learning these topics in class.
本研究从马来西亚化学教师的角度探讨了学习者在学习盐的制备和定性分析主题时所遇到的问题。研究人员采用了定性设计,并对16名具有5年以上化学教学经验的受访者进行了半结构化访谈。他们是通过有目的的抽样选择的。进行了文件分析,以核实和补充从访谈中获得的结果。该研究报告了从数据分析中出现的五个问题:负面认知、处理信息数量、想象抽象概念、掌握基础知识和解决问题、完成评分标准。研究结果证实了以往研究的一致性,即学生对这些主题的不利看法以及他们在学习涉及盐形成和分析的抽象概念方面的挣扎。此外,学生的问题也明显根植于对盐的先验知识薄弱,影响了学生解决相关问题的能力。该研究建议,教师必须实践各种被认为有效的方法和策略来帮助学习者学习,并且在课堂上学习这些主题时,更有选择性地选择针对个别学生问题的方法。
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引用次数: 0
Plant awareness disparity among students of different educational levels in Spain 西班牙不同教育水平学生的植物意识差异
Q3 Social Sciences Pub Date : 2023-01-01 DOI: 10.30935/scimath/12570
Javier Marcos-Walias, Javier Bobo-Pinilla, Jaime Delgado Iglesias, Roberto Reinoso Tapia
Plant awareness disparity (PAD), formerly known as plant blindness, refers to the fact of overlooking or failing to perceive plants, perhaps due to poor ‘species literacy’. Despite numerous efforts made by scientists and educators over the years, PAD is still present in students at all educational levels. An assessment was carried out on 259 students from primary school to university in the Spanish education system to evaluate their species literacy, especially regarding local flora and fauna, its possible improvement across educational levels, and to assess whether PAD was a reality among students. A biased perception towards animals was confirmed with strong statistical support. Animals were recognized and identified more than plants at all educational levels. Even if a positive correlation for animal-plant literacy was found, the values were weak. Although the curricula set out content and learning outcomes related to local environment and flora, their teaching has been proven to be unsatisfactory. The recently implemented curricula have the mission to reverse this trend, which can be done by improving students’ interest in plants through specific educational programs and activities, as well as comprehensive training in the field of botany and the effective implementation of activities for current and future educators.
植物意识差异(PAD),以前被称为植物盲症,指的是可能由于“物种素养”差而忽视或未能感知植物的事实。尽管多年来科学家和教育工作者做出了许多努力,但PAD仍然存在于所有教育水平的学生中。对西班牙教育系统中从小学到大学的259名学生进行了评估,以评估他们的物种素养,特别是当地动植物,其在教育水平上的可能改进,并评估PAD是否在学生中成为现实。对动物有偏见的看法得到了强有力的统计支持。在所有教育水平上,动物比植物更容易被认识和识别。即使发现了动植物素养的正相关,其值也很弱。虽然课程设置了与当地环境和植物有关的内容和学习成果,但教学结果令人不满意。最近实施的课程旨在扭转这一趋势,这可以通过具体的教育计划和活动来提高学生对植物的兴趣,以及植物学领域的全面培训,并为当前和未来的教育工作者有效地实施活动来实现。
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引用次数: 1
Rasch analysis and validity of the construct understanding of the nature of models in Spanish-speaking students 西班牙语学生对模式本质之建构性理解之Rasch分析与效度
Q3 Social Sciences Pub Date : 2023-01-01 DOI: 10.30935/scimath/12651
J. M. Oliva, Ángel Blanco
A questionnaire was recently developed for the use with the Spanish-speaking, and evidence have been provided about the construct internal validity by means of structural equation modelling. In this paper, two research questions were considered: (i) What new evidence does application of the Rasch model provide regarding the validity of this construct? (ii) What cutoffs should be applied to the constructed scales in order to differentiate between acceptable and insufficient levels of the construct being measured? Participants were 1,272 Spanish at both high-school and college level. The instrument is a pencil and paper questionnaire written in Spanish, comprising 20 items (5-point Likert-type scale) distributed evenly across four scales: beyond exact replicas, purpose of models, multiple models, and changing models. Students’ responses were coded on an ordinal scale from zero to four. We then conducted a Rasch analysis using both a multidimensional approach and a consecutive unidimensional approach for each dimension. Data provided new evidence regarding the internal validity of the four scales of the questionnaire. The Rasch analysis also allowed us to establish cutoffs for the constructed scales. The evidence provided by this, and the previous study suggest that the questionnaire may be useful as a diagnostic tool when applied to groups or populations of students. In addition, the identified cutoffs could, hypothetically, serve to differentiate between students with an adequate versus an insufficient understanding of the nature of models.
最近开发了一份调查问卷,用于西班牙语使用者,并通过结构方程模型提供了关于构建内部效度的证据。本文考虑了两个研究问题:(i) Rasch模型的应用为这一结构的有效性提供了哪些新的证据?(ii)为区分所测结构的可接受水平和不充分水平,应对所构建的量表采用什么截止值?参与者是1272名高中和大学水平的西班牙人。该工具是一份用西班牙语写的铅笔和纸问卷,包括20个项目(5点李克特量表),均匀分布在四个尺度上:超越精确复制品、模型目的、多个模型和变化模型。学生们的回答按照从0到4的顺序进行编码。然后,我们对每个维度使用多维方法和连续的一维方法进行了Rasch分析。数据为问卷四个量表的内部效度提供了新的证据。Rasch分析还允许我们为构建的尺度建立截止点。这项研究和之前的研究提供的证据表明,当应用于学生群体或群体时,问卷可能是有用的诊断工具。此外,假设,确定的截止点可以用来区分对模型本质有充分理解和不充分理解的学生。
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引用次数: 0
期刊
European Journal of Science and Mathematics Education
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