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Mathematics Teaching in Youth and Adult Education in Manaus 马瑙斯青少年数学教学与成人教育
Q3 Multidisciplinary Pub Date : 2023-07-21 DOI: 10.17648/acta.scientiae.7682
Bruno Thayguara De Oliveira Ribeiro, Claudia Lisete Oliveira Groenwald
Background: Youth and Adult Education (YAE) is a teaching modality aimed at young people, adults and older adults who need to complete their studies so that their specificities are respected within this teaching and learning process. Objectives: Analyse aspects related to mathematics teaching in the 3rd phase of Youth and Adult Education (YAE) through the continuing education of teachers who work in the segment, proposing new methodologies based on the results of the ADE (Student Performance Assessment). Design: The research carried out was of a qualitative exploratory nature, using psychometric theories as aids in the composition of the research, these being the classical test theory (CTT) and the item response theory (IRT). Setting and participants: From the universe of schools that compose the Semed - Manaus, a group of schools from the East Zone of Manaus was chosen; this choice was motivated by the fact that the area has the highest number of teachers (nine) who work in the 3rd phase of the YAE of Manaus. Data collection and analysis: The CTT/IRT was applied to the ADE, and the most difficult-level items were selected. For data collection, interviews, observation and application of forms on the Google Forms platform were used. Results: The research showed that teachers have many doubts regarding the curricular competencies that involve specific mathematics topics, mainly algebra. In the investigated group, none of the teachers had training in mathematics. Also, the textbook is not contextualised for the segment and does not include these new National Base skills. Schools also do not have digital resources to teach mathematics more playfully. Conclusions: Research shows that more mathematics training is needed for teachers in the segment. The Semed qualification sector needs to create a format aimed at YAE. Research is needed to assess the segment after the 3rd phase to verify the impact of mathematics teaching by teachers with no qualification in the area.
背景:青年和成人教育(YAE)是一种针对需要完成学业的年轻人、成年人和老年人的教学模式,以便在教学过程中尊重他们的特殊性。目标:通过对该部门教师的继续教育,分析青年和成人教育第三阶段(YAE)数学教学的相关方面,并根据ADE(学生表现评估)的结果提出新的方法。设计:所进行的研究具有定性探索性质,在研究的组成中使用心理测量学理论作为辅助,这些理论是经典测试理论(CTT)和项目反应理论(IRT)。设置和参与者:从组成马瑙斯学期的学校宇宙中,选择了一组来自马瑙斯东区的学校;这一选择的动机是,该地区在马瑙斯YAE第三阶段工作的教师人数最多(9人)。数据收集和分析:将CTT/IRT应用于ADE,并选择最难的级别项目。在数据收集方面,使用了谷歌表格平台上的访谈、观察和表格应用。结果:研究表明,教师对涉及特定数学主题(主要是代数)的课程能力存在许多疑问。在调查组中,没有一名教师接受过数学培训。此外,该教材没有针对该部分的背景,也没有包括这些新的国家基础技能。学校也没有数字资源来更有趣地教授数学。结论:研究表明,该领域的教师需要更多的数学培训。Semed资格认证部门需要创建一种针对YAE的形式。需要对第三阶段之后的部分进行研究评估,以验证该领域无资格教师的数学教学的影响。
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引用次数: 0
Developing and Reporting Psychometric Evidence of Prerequisite Algebra Skills Instrument 前提代数技能量表心理测量证据的开发与报告
Q3 Multidisciplinary Pub Date : 2023-07-20 DOI: 10.17648/acta.scientiae.7611
H. Kartika, M. T. Budiarto, Y. Fuad, Kim Jeonghyeon, E. Bonyah
Background: Assessing prerequisite algebra skills among secondary school students is essential to learning to succeed in formal algebraic classes. Objectives: Therefore, this research aims to develop a prerequisite algebra skills (PAS) instrument in the context of early algebra for seventh grade. Design: It was conducted in quantitative descriptive and cross-sectional design. The PAS instrument developed was in the form of multiple-choice questions. Participants: Three experts were selected, and 85 Grade 7 students in West Java, Indonesia, participated in checking the psychometric evidence. Data Collection and Analysis: Experts filled out an assessment sheet to assess content validity and inter-rater reliability, which was analysed using a content validity index (CVI) and Kappa coefficient (κ). The construct validity and reliability were examined using the Point-Biserial correlation and Kuder-Richardson's 20. Results: The result of content validity revealed that overall instrument
背景:评估中学生的先决代数技能对于学习在正式代数课程中取得成功至关重要。摘要目的:本研究旨在开发一套适用于七年级早期代数教学的先决代数技能(PAS)量表。设计:采用定量描述设计和横断面设计。所开发的考绩工具采用多项选择题的形式。参与者:选择3名专家,85名印尼西爪哇省7年级学生参与心理测量证据的检验。数据收集和分析:专家填写评估表,评估内容效度和评分者间信度,使用内容效度指数(CVI)和Kappa系数(κ)进行分析。采用点双列相关和库德-理查德森20检验结构效度和信度。结果:内容效度的结果显示了整体工具
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引用次数: 0
Characterising the Didactic-Stochastic Knowledge of Future Mathematics Teachers: The Case of Chile 表征未来数学教师的教学-随机知识:以智利为例
Q3 Multidisciplinary Pub Date : 2023-07-03 DOI: 10.17648/acta.scientiae.7698
F. Ruz, Francisca M. Ubilla, V. Giaconi
Background: Stochastics’ teacher education has become an important research topic since mathematics teachers are usually responsible for the teaching of stochastics (statistics and probability) in schools. However, the emergence of new theoretical approaches has resulted in the identification of a problem: organizing and describing the necessary professional knowledge to teach stochastics. Objectives : The aim of this research is to characterize the didactic-stochastic knowledge needed for pre-service mathematics teachers, considering Chile as a case study. Design : Following a qualitative perspective, through a content-analysis. Setting and Participants: The Pedagogical and Disciplinary Standards for Mathematics Teaching Programs . Data collection and analysis: The national guidelines on the stochastic education of pre-service’ teachers were analysed to collect text fragments describing professional knowledge expected in pre-service teachers. Results : We obtained a set of 37 indicators organized according to the Didactic-Mathematical Knowledge Model, which includes disciplinary aspects (stochastic content), the knowledge of students and their learning (cognitive content) and interests (affective content), instruction processes (interactional and mediational content) and their link with the educational context and other knowledge areas (ecological content). Conclusions : We hope that the identified indicators become a useful tool to organize and evaluate stochastic education programs for pre-and in-service teachers. Moreover, we highlight the replicability of the method uses and the possible adaptation of results to other educational contexts.
背景:由于数学教师通常负责学校的随机学(统计学和概率论)教学,因此数学教师教育已成为一个重要的研究课题。然而,新的理论方法的出现导致了一个问题的识别:组织和描述教授随机学所需的专业知识。目的:本研究的目的是以智利为例,描述职前数学教师所需的随机教学知识。设计:遵循定性的观点,通过内容分析。设置和参与者:数学教学项目的教育和学科标准。数据收集和分析:分析了国家关于职前教师随机教育的指导方针,以收集描述职前教师所需专业知识的文本片段。结果:根据教学数学知识模型,我们得到了一组37个指标,包括学科方面(随机内容)、学生的知识及其学习(认知内容)和兴趣(情感内容),教学过程(互动和中介内容)及其与教育背景和其他知识领域(生态内容)的联系。结论:我们希望所确定的指标能成为组织和评估职前和在职教师随机教育计划的有用工具。此外,我们强调了方法使用的可复制性,以及结果可能与其他教育背景相适应。
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引用次数: 0
Meaningful Learning and Mathematical Modelling - Contributions to Dealing with Business Problem Situations in Higher Education 有意义的学习和数学建模——对高等教育中处理商业问题的贡献
Q3 Multidisciplinary Pub Date : 2023-07-03 DOI: 10.17648/acta.scientiae.7667
Arrigo Fontana, C. Groenwald
Background: Applying mathematical modelling in problem situations shows the possibility of observation of the existing meaningful learning as a learning environment for the construction of knowledge with problems situations of the professional daily life of students enrolled in the subject Operational Research of Fisul College Administration Course, at Serra Gaúcha, Rio Grande do Sul. Objectives: To elaborate, construct, and study a mathematical model that describes and/or explains these living situations in a professional routine integrated into the meaningful learning theory. Design: Qualitative research, based on the meaningful learning theory, in the operational research with the assistance of Solver and mathematical modelling. Setting and participants: The research was carried out in two classes of 24 students who attended the subject Operational Research in Higher Education. Data collection and analysis: The research was developed in five stages: Diagnostic Probing, Advanced Organizers, Evaluative Instrument, Modelling of Operational Research Problems, and Closure Activities. Results: Most students have evidence of the presence of subsumers in the activities developed, inserting concepts related to management, where they are related to the Business Administration course. Conclusions: The results revealed evidence of the Administrator’s professional conditions, such as the ability to recognise and define problems, introduce changes in the productive process, where the problems originated, and traces of construction of knowledge itself were perceived. 
背景:在问题情境中应用数学建模,显示了观察现有的有意义学习作为一种学习环境的可能性,以构建知识与专业日常生活中的问题情境相结合的学习环境,在Serra Gaúcha,里约热内卢Grande Sul的学生中。目标:详细阐述、构建和研究一个数学模型,该模型描述和/或解释了这些生活情况在专业日常生活中融入有意义学习理论。设计:以有意义学习理论为基础,借助求解器和数学建模,在运筹学中进行定性研究。环境和参与者:研究在两个班进行,共24名学生,他们参加了“高等教育中的运筹学”课程。数据收集和分析:研究分为五个阶段:诊断探测、高级组织者、评估工具、运筹学问题建模和结束活动。结果:大多数学生在开发的活动中有subsumers存在的证据,插入与管理相关的概念,其中与工商管理课程相关。结论:结果显示了行政官的专业条件的证据,例如认识和确定问题的能力,在生产过程中提出改变,问题产生的地方,以及认识到知识本身构建的痕迹。
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引用次数: 0
The Process of Becoming a Teacher: Experiences with Teachers in Northeast Brazil 成为一名教师的过程:巴西东北部教师的经验
Q3 Multidisciplinary Pub Date : 2023-07-03 DOI: 10.17648/acta.scientiae.7688
M. Villegas
Background: Working conditions in Brazil, both material and contextual, are not suitable for the exercise of the educator's profession nor for the well-being of educators, which is being, therefore, strongly affected. In addition, a little more than three quarters of teaching professionals in Brazilian Basic Education are women. Design: The methodology used was qualitative in nature. Participants: seven Basic Education teachers, who participated as collaborators in the study, narrated their experiences as educators, and the research sought to explain the meanings and senses of the phenomena narrated by them. Data collection and analysis : To collect the information, two Conversation Rounds of two hours and thirty minutes each were held, and a structured questionnaire was applied to obtain personal and professional data from the collaborators. Then, to analyze this information, the strategy suggested by Strauss and Corbin (2012) was used. Results : From the teachers' testimonies, it was found that their training experiences were marked by the motivations for choosing to be a teacher, their insertion in the teaching community and the awareness of their role as educators. Conclusions : It was concluded that the process of becoming a teacher is characterized by unique sociocultural experiences, in which relationships with others have been crucial for the constitution of oneself as teaching professionals.
背景:巴西的工作条件,无论是物质条件还是环境条件,都不适合教育工作者的职业,也不适合教育工作者的福祉,因此,这受到了强烈的影响。此外,巴西基础教育的教学专业人员中略多于四分之三是妇女。设计:使用的方法本质上是定性的。参与者:7位基础教育教师作为合作者参与研究,他们讲述了自己作为教育者的经历,本研究试图解释他们所叙述的现象的意义和意义。数据收集和分析:为了收集信息,进行了两轮对话,每次2小时30分钟,并采用结构化问卷从合作者那里获得个人和专业数据。然后,为了分析这些信息,使用了Strauss和Corbin(2012)提出的策略。结果:从教师的证词中发现,他们的培训经历以选择成为一名教师的动机,他们在教学社区中的插入和他们作为教育者角色的意识为标志。结论:研究得出的结论是,成为一名教师的过程具有独特的社会文化经历,在这种经历中,与他人的关系对自己作为教学专业人员的构成至关重要。
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引用次数: 0
Discursive Textual Analysis & Iramuteq: Potentials of the Blended Process 话语文本分析& Iramuteq:混合过程的潜力
Q3 Multidisciplinary Pub Date : 2023-07-03 DOI: 10.17648/acta.scientiae.6994
Valderez Marina do Rosário Lima, Marcelo Prado Amaral-Rosa, Maurivan Güntzel Ramos
Background: For years, scholars have been studying possibilities for science teaching. Science Clubs became an alternative since they are spaces around collective interests. Objectives: How is the discursive textual analysis method configured in a blended process, given its three analytical stages, supported by the IRaMuTeQ software? The objective was to present, in full, the discursive textual analysis method, supported by the IRaMuTeQ software, to understand the blended procedure that includes the analytical stages. Design: The research approach is qualitative. The global corpus is based on four dialogues about the universe of Science Clubs. Setting and participants: The participants are two researchers with extensive experience. The information analysed is four dialogues about Science Clubs. Data collection and analysis: There were five meetings lasting approximately 120 minutes each. The analysis method adopted is the discursive textual analysis, supported by the IRaMuTeQ software. In the software, the baseline analysis was descending hierarchical classification. Results: The emergence of five intermediate categories was identified, and it is possible to observe, as the main result, from the subcorpus analyses, the recognition of the composition of each intermediate category by other five to seven initial categories. Conclusions: The subcorpus analysis procedure is vital for understanding the constructions of each emerging intermediate category, configuring itself as an advanced level of understanding of categorisation. Thus, we concluded that the discursive textual analysis, with software support, is a blended analysis process.
背景:多年来,学者们一直在研究科学教学的可能性。科学俱乐部成为了另一种选择,因为它们是围绕集体兴趣的空间。目标:在IRaMuTeQ软件的支持下,给定三个分析阶段,话语文本分析方法如何在混合过程中配置?目的是完整地呈现由IRaMuTeQ软件支持的话语文本分析方法,以理解包括分析阶段在内的混合过程。设计:研究方法是定性的。全球语料库基于四个关于科学俱乐部宇宙的对话。设置和参与者:参与者是两位具有丰富经验的研究人员。分析的信息是关于科学俱乐部的四个对话。数据收集和分析:共举行了五次会议,每次会议持续约120分钟。本文采用的分析方法是话语文本分析,由IRaMuTeQ软件提供支持。在软件中,基线分析是降序分层分类。结果:确定了5个中间类别的出现,并且从子语料库分析中可以观察到,作为主要结果,每个中间类别的组成被其他5到7个初始类别所识别。结论:子语料库分析过程对于理解每个新兴中间类别的结构至关重要,将其自身配置为对分类的高级理解。因此,我们得出结论,在软件支持下,话语文本分析是一个混合分析过程。
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引用次数: 0
Students’ Creative Thinking Stages in Inquiry-Based Learning: A Mixed-Methods Study of Elementary School Students in Indonesia 研究性学习中学生的创造性思维阶段——对印度尼西亚小学生的混合方法研究
Q3 Multidisciplinary Pub Date : 2023-06-07 DOI: 10.17648/acta.scientiae.7612
Sri Rahayuningsih, K. Kartinah, Muhammad Nurhusain
Background : Creative thinking skills significantly affect the learning process's success. Improving higher-order thinking skills requires wise consideration of learning techniques and a commitment to an active and learner-centered learning environment. Objectives : The objective of this research is to explore the creative process of children when playing games using coding skills . Design: This study employed a mixed-methods approach to data collection, combining semi-structured and comparison methods. Setting and Participants : The research sample consisted of 20 five-grade students (twelve boys and eight girls) from SD Negeri 149 Tokinjong, Sinjai Regency. Data collection and analysis : Descriptive statistics and the N-Gain test were used to analyse participants’ creative thinking pre-and post-test scores. Interview analysis was performed through data reduction, data display
背景:创造性思维能力显著影响学习过程的成功。提高高阶思维技能需要明智地考虑学习技巧,并致力于营造一个积极的、以学习者为中心的学习环境。目的:本研究的目的是探索儿童在玩游戏时使用编码技能的创造过程。设计:本研究采用混合方法收集数据,结合半结构化和比较方法。背景和参与者:研究样本由20名五年级学生(12名男孩和8名女孩)组成,他们来自新海县东津宗149号SD Negeri。数据收集和分析:使用描述性统计和N-增益测试来分析参与者在测试前和测试后的创造性思维得分。通过数据缩减、数据显示进行访谈分析
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引用次数: 0
Exploring The Field-Independent Student’s in Understanding Derivative Concepts: A Case of Commognitive Perspective 探究领域独立学生对派生概念的理解——以认知视角为例
Q3 Multidisciplinary Pub Date : 2023-06-07 DOI: 10.17648/acta.scientiae.7097
R. Lefrida, T. Siswono, A. Lukito
Background : The derivative is an important concept in mathematics and therefore understanding the derivative concept play an essential role. However, it has been found that s tudents' understanding of derivative is still below expectation. The reason is that they cannot explain parts that has not been understood. They has just stated that they forgot or did not understand without any detail explanation. This shows that the provided explanation which is given by students does not support the cognitive process. To overcome this situation, we need to understand how the cognitive processes that lead to such understanding. One simple tool that allows for this purpose is the theory of commognition. Objectives : This study aims to describe how the field-independent students understand the derivative concept viewed from the perspective of commognition theory. Design : This type of research is descriptive with a qualitative approach. Setting and Participants : Three participants were selected from 41 students of an undergraduate mathematics education program in a state university through a cognitive style test. Data collection and analysis : Task-based interviews and a focused group discussion were used for data collection. Results : The analysis results show that not all commognitive were arising during the students' understanding process. The Keywords Subject arise in the use objective phase. Writing symbols, mentioning symbols and showing symbols with hand movements are all as the visual mediators.
背景:导数是数学中的一个重要概念,因此理解导数概念起着至关重要的作用。然而,研究发现,研究者对导数的理解仍低于预期。原因是他们无法解释未被理解的部分。他们只是说他们忘记或不明白,但没有详细解释。这表明学生提供的解释不支持认知过程。为了克服这种情况,我们需要了解导致这种理解的认知过程。实现这一目的的一个简单工具是认知理论。目的:本研究旨在从认知理论的角度来描述领域独立学生如何理解衍生概念。设计:这种类型的研究是描述性的和定性的方法。设置和参与者:通过认知风格测试,从一所州立大学的41名本科生数学教育项目中选出三名参与者。数据收集和分析:数据收集采用了基于任务的访谈和重点小组讨论。结果:分析结果表明,并非所有的认知都是在学生的理解过程中产生的。主题词产生于使用目的阶段。书写符号、提及符号、用手势表现符号都是视觉中介。
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引用次数: 0
Inquiry-Based Science Teaching and the Development of Teaching Knowledge in Amazonia 探究性科学教学与亚马逊地区教学知识的发展
Q3 Multidisciplinary Pub Date : 2023-06-07 DOI: 10.17648/acta.scientiae.7452
Kleberson Almeida de Albuquerque, Danielle Rodrigues Monteiro da Costa
Background: In the face of investigations on how Amazonia is presented in textbooks (TBs), it is clear that there is a limitation in approaching this topic, as it is loaded with stereotypes disregarding socio-environmental issues. Objectives: To understand how teaching knowledge is mobilised by teachers from a formative activity centred on investigative teaching sequences in the Amazonian context. Design: With this in mind, we started with an action research. Setting and Participants: It took place in a municipal school in Ananindeu/PA, with the participation of all teachers who worked in the initial years of elementary school of this institution, a total of five teachers, aged between 28 and 49 years. They are the only members of the teaching staff serving the eight classes at the school, in the morning and afternoon shifts, all with a background in pedagogy and at least one specialisation. Data collection and analysis: We used semi-structured collective interviews, recorded in audio and video, which were later transcribed and analysed through content analysis, carried out in three stages: 1 - Pre-analysis, 2 - Exploration of the material and 3 – Treatment of results and interpretation, based on the theoretical framework adopted in the investigation Results: We understand the mobilisation of teaching knowledge in the construction of Investigative Teaching Sequences (ITSs) aimed at the Amazon context, as a viable alternative, since textbooks disregard the reality of Amazonia, making it invisible throughout its entirety complexity. Conclusions: In this sense, the proposition of inquiry-based science teaching through ITSs focused on the Amazonian context favours overcoming this regional neglect. Therefore, teachers and students can start with an investigative process that takes into account relevant and significant themes for both.
背景:面对关于亚马逊地区在教科书中的表现方式的调查,很明显,处理这一主题存在局限性,因为它充斥着无视社会环境问题的刻板印象。目的:了解教师如何在亚马逊背景下,从以调查性教学序列为中心的形成性活动中调动教学知识。设计:考虑到这一点,我们从行动研究开始。设置和参与者:活动在宾夕法尼亚州阿南迪乌的一所市立学校举行,该机构小学最初几年的所有教师都参加了活动,共有五名教师,年龄在28至49岁之间。他们是为学校八个班提供早班和午班服务的唯一教职员工,都有教育学背景,至少有一个专业。数据收集和分析:我们使用了半结构化的集体访谈,记录在音频和视频中,随后通过内容分析进行转录和分析,分三个阶段进行:1-预分析,2-材料探索和3-结果处理和解释,基于调查结果中采用的理论框架:我们理解在针对亚马逊背景的调查性教学序列(ITSs)的构建中调动教学知识是一种可行的选择,因为教科书忽视了亚马逊的现实,使其在整个复杂性中不可见。结论:从这个意义上说,通过ITSs进行基于探究的科学教学的主张侧重于亚马逊地区的背景,有助于克服这种区域忽视。因此,教师和学生可以从调查过程开始,考虑到双方的相关和重要主题。
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引用次数: 0
Interactions Promoted by Teacher Educators Based on an Erroneous Approach to the Subject of Fractions 基于分数主体错误认识的教师教育者促进的互动
Q3 Multidisciplinary Pub Date : 2023-06-06 DOI: 10.17648/acta.scientiae.7642
Hugo Parra-Sandoval, Adelso Gustavo Perdomo Hernández, Gabriela Prieto
Background: An episode developed within the framework of a training process for primary school teachers is presented, based on a previous diagnosis where, among other shortcomings, those related to the subject of fractions and their teaching were detected. In this context, a set of interactions between the participants and two mathematics teacher educators take place, based on an error related to this theme. Objectives: To analyse the types of interactions promoted by two mathematics teacher educators from the appearance of an error in the context of a continuous training program for primary school teachers. Design: Naturalistic research of a qualitative-ethnographic nature. Scope and participants: Two mathematics teacher trainers and teachers of the second stage of primary school (9-11 years old) belonging to an educational network that offers its services in disadvantaged sectors. Data collection and analysis : Sixteen hours recorded on video were observed and analysed from two categories with their respective properties; each category characterises a type of interaction. Results: The information collected shows a different type of interaction on the part of each of the two mathematics teacher educators when an error appears about the fraction and its teaching. Conclusions: The two types of interactions that are evident in a different way in each one of the trainers, show that the characteristics proposed by an initial, continuous or professional development training program are marked by the types of interactions promoted by the trainer.
背景:介绍了在小学教师培训过程框架内开发的一个事件,该事件基于之前的诊断,其中发现了与分数科目及其教学有关的缺陷。在这种情况下,参与者和两位数学教师教育者之间基于与该主题相关的错误进行了一系列互动。目的:从小学教师持续培训计划中出现的错误入手,分析两位数学教师教育工作者促进的互动类型。设计:具有民族志性质的自然主义研究。范围和参与者:两名数学教师培训师和小学第二阶段的教师(9-11岁),属于一个为弱势群体提供服务的教育网络。数据收集和分析:从两个类别观察和分析了录像中记录的16个小时及其各自的性质;每个类别都具有一种交互类型的特征。结果:所收集的信息显示,当分数及其教学出现错误时,两位数学教师的互动方式各不相同。结论:两种类型的互动在每一位培训师身上都以不同的方式表现出来,这表明初始、持续或专业发展培训计划提出的特征以培训师促进的互动类型为标志。
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引用次数: 0
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