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Spaced recall reduces forgetting of fundamental mathematical concepts in a post high school precalculus course 间隔回忆减少了高中后预微积分课程中对基本数学概念的遗忘
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-03 DOI: 10.1007/s11251-024-09680-w
Diane S. Lindquist, Brenda E. Sparrow, Joseph M. Lindquist

The retention of fundamental mathematical skills is imperative to provide a foundation on which new skills are developed. Educators often lament about student retention. Cognitive scientists and educators have explored teaching methods that produce learning which endures over time. We wanted to know if using spaced recall quizzes would prevent our students from forgetting fundamental mathematical concepts at a post high school preparatory school where students attend for 1 year preparing to enter the United States Military Academy (USMA). This approach was implemented in a Precalculus course to determine if it would improve students’ long-term retention. Our goal was to identify an effective classroom strategy that led to student recall of fundamental mathematical concepts through the end of the academic year. The concepts that were considered for long-term retention were 12 concepts identified by USMA’s mathematics department as being fundamental for entering students. These concepts are taught during quarter one of the Precalculus with Introduction to Calculus course at the United States Military Academy Preparatory School. It is expected that students will remember the concepts when they take the post-test 6 months later. Our research shows that spaced recall in the form of quizzing had a statistically significant impact on reducing the forgetting of the fundamental concepts while not adversely effecting performance on current instructional concepts. Additionally, these results persisted across multiple sections of the course taught at different times of the day by six instructors with varying teaching styles and years of teaching experience.

要为新技能的发展奠定基础,就必须保留基本的数学技能。教育工作者经常为学生的保留率感到惋惜。认知科学家和教育工作者一直在探索能让学生长期保持学习效果的教学方法。我们想知道,在一所高中后预科学校,学生要在这里学习一年,为进入美国军事学院(USMA)做准备,使用间隔回忆测验是否能防止学生遗忘基本数学概念。我们在一门微积分预科课程中采用了这种方法,以确定它是否能提高学生的长期记忆力。我们的目标是找出一种有效的课堂策略,使学生在学年结束时仍能回忆起基本的数学概念。考虑长期保留的概念是 USMA 数学系确定的 12 个概念,这些概念是新生入学的基础。这些概念在美国军事学院预备学校微积分先修课程第一学季中讲授。我们希望学生在 6 个月后参加后测时能记住这些概念。我们的研究表明,测验形式的间隔回忆对减少基本概念的遗忘有显著的统计学影响,同时不会对当前教学概念的成绩产生不利影响。此外,这些结果在由六位教学风格和教学年限各不相同的教师在一天中的不同时间讲授的多节课程中持续存在。
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引用次数: 0
The roles that students’ ethnicity and achievement levels play in teachers’ choice of learning materials in online teaching: evidence from two experimental studies 在线教学中学生的种族和成绩水平对教师选择学习材料的影响:来自两项实验研究的证据
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-02 DOI: 10.1007/s11251-024-09681-9
Sabine Schlag, Sabine Glock

Research has shown that, in general, students are treated differently on the basis of their achievement levels and ethnicity. Such differential treatment might also result in the administration of different learning materials, and so far, not much is known about how teachers choose these materials for different students. In two vignette studies, we investigated which student factors influence teachers’ choice of materials. In Study 1, preservice teachers were asked to choose between an easy or difficult instructional video with the same content in response to vignettes that differed by students’ ethnic minority or majority background. In Study 2, preservice teachers could choose between text or video materials with the same content. The student descriptions varied systematically in achievement (high vs. low) and ethnic background (minority vs. majority). The results of Study 1 showed that ethnic minority background students were significantly more often given the easy video than ethnic majority background students. In Study 2, the results showed that student achievement was the crucial factor. Low-achieving students were given the video significantly more often, whereas high-achieving students were more often given the text. Both studies provide initial insights into how teachers’ material choice might be influenced by student characteristics.

研究表明,一般来说,学生因其成绩水平和种族而受到不同的待遇。这种区别对待也可能导致使用不同的学习材料,而迄今为止,人们对教师如何为不同学生选择这些材料还知之甚少。在两项小故事研究中,我们调查了哪些学生因素会影响教师对教材的选择。在研究 1 中,职前教师被要求在相同内容的教学视频中做出简单或困难的选择。在研究 2 中,职前教师可以选择内容相同的文字或视频材料。学生的描述在成绩(高分与低分)和种族背景(少数民族与多数民族)方面存在系统性差异。研究 1 的结果显示,少数族裔背景的学生获得简单视频的比例明显高于多数族裔背景的学生。研究 2 的结果显示,学生成绩是关键因素。给成绩差的学生看视频的次数明显多于给成绩好的学生看课文的次数。这两项研究为教师的教材选择如何受到学生特点的影响提供了初步见解。
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引用次数: 0
Research on the correlation between teacher classroom questioning types and student thinking development from the perspective of discourse analysis 从话语分析的角度研究教师课堂提问类型与学生思维发展的相关性
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-31 DOI: 10.1007/s11251-024-09683-7
Xiarizhati Niyazi, Xiaopeng Wu

Discourse analysis, as a mainstream research method in classroom teaching, has gained widespread attention in education. Educators believe that children's thinking development requires support from interactive discourse. In this study, four primary school mathematics classes were segmented based on the form, frequency, content, and purpose of teacher-student interactions. A total of 73 dialogue segments were selected for coding, resulting in 338 codes. The coding process was based on the turn of talk and assigned corresponding coding numbers to the content of teacher-student discourse in the fragments according to the Bloom-Turney teaching questioning code list and the Hierarchical Framework of Student Thinking Level based on Biggs-Collis Structure of the observed learning outcome. The results show that Knowledge level question (Q1), Understanding level question (Q2), Application level question (Q3), Synthesis level question (Q5), and Evaluation level question (Q6) are related to students' low-level thinking. The questions of Analysis level (Q4), Synthesis level (Q5), and Evaluation level (Q6) are related to students' high-level thinking. We found that there are variety of interactive structures between teachers and students in the question and answer session, among which three interaction structures show significant performance, namely Q2 → M (Multiple-point structural level) → Q4 → C (Correlational structural level), Q3 → M → Q4 → C, Q3 → M → Q6 → A (Abstract-extension level), these structures can show how teachers timely adjust the types of questions according to students' answers to improve students' thinking level.

话语分析作为课堂教学的主流研究方法,在教育领域受到广泛关注。教育工作者认为,儿童的思维发展需要互动话语的支持。本研究根据师生互动的形式、频率、内容和目的对四节小学数学课进行了细分。共选取了 73 个对话片段进行编码,共产生 338 个编码。编码过程以谈话的转折点为基础,根据布鲁姆-特尼教学提问编码表和基于比格斯-柯利斯结构的学生思维水平层次框架,对片段中师生话语的内容赋予相应的编码编号,以观察学习结果。结果显示,知识层面的问题(Q1)、理解层面的问题(Q2)、应用层面的问题(Q3)、综合层面的问题(Q5)和评价层面的问题(Q6)与学生的低层次思维有关。分析水平问题(Q4)、综合水平问题(Q5)和评价水平问题(Q6)与学生的高层次思维有关。我们发现,师生在问答环节中存在多种互动结构,其中有三种互动结构表现显著,即 Q2 → M(多点结构层次)→ Q4 → C(关联结构层次)、Q3 → M → Q4 → C、Q3 → M → Q6 → A(抽象-扩展层次),这些结构可以说明教师如何根据学生的回答及时调整问题类型,以提高学生的思维水平。
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引用次数: 0
Developmental relations between mathematics self-concept, interest, and achievement: A comparison of solo- and co-taught classes 数学自我概念、兴趣和成绩之间的发展关系:单独授课和共同授课班级的比较
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-22 DOI: 10.1007/s11251-024-09678-4
Hans Lehikoinen, Pertti Väisänen, Sari Havu-Nuutinen, Kristiina Lappalainen, Markku Niemivirta

This study investigated the role of co-teaching in the development of students’ mathematics motivation and achievement. More specifically, we examined how sixth-grade students’ (N = 146) mathematics self-concept and individual interest changed over one school year, how these changes were related to each other and to mathematics achievement, and, most importantly, whether they differed between co-teaching and solo-teaching conditions. The co-teaching condition included 70 students in three classes with mathematics taught by pairs of teachers, while the solo-teaching condition included 76 students in four classes with mathematics taught by individual class teachers. The design included three repeated measures of mathematics self-concept and interest as well as pre- and post-measures of mathematics test performance and teacher-rated mathematics grades. A series of latent growth curve analyses showed both self-concept and individual interest to decline over time, and these changes to be strongly correlated: as self-concept decreased, so did interest, and vice versa. The changes in self-concept and interest were independent of prior achievement and did not predict later achievement either. Students in the co-taught group received better grades at the end of the year, but no differences in the development of self-concept and individual interest were found between the teaching conditions. That is, co-teaching contributed to improvement in mathematics achievement, but this was not mediated by changes in mathematics motivation.

本研究探讨了共同教学在培养学生数学学习动机和提高数学成绩方面的作用。更具体地说,我们研究了六年级学生(146 人)的数学自我概念和个人兴趣在一学年中的变化,这些变化与数学成绩之间的关系,以及最重要的是,这些变化在合作教学和单独教学条件下是否存在差异。合作教学条件包括三个班级的 70 名学生,由一对教师教授数学;单独教学条件包括四个班级的 76 名学生,由个别班主任教授数学。设计包括三次数学自我概念和兴趣的重复测量,以及数学考试成绩和教师评定的数学成绩的前后测量。一系列潜在的成长曲线分析表明,随着时间的推移,自我概念和个人兴趣都在下降,而且这些变化密切相关:自我概念下降,兴趣也随之下降,反之亦然。自我概念和兴趣的变化与以前的成绩无关,也不能预测以后的成绩。联合教学组的学生在学年结束时成绩较好,但在自我概念和个人兴趣的发展方面,两种教学条件之间没有发现差异。也就是说,共同教学有助于数学成绩的提高,但这并不以数学学习动机的变化为中介。
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引用次数: 0
Gaming the system mediates the relationship between gender and learning outcomes in a digital learning game 游戏系统在数字学习游戏中调节性别与学习成果之间的关系
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-21 DOI: 10.1007/s11251-024-09679-3
Ryan S. Baker, J. Elizabeth Richey, Jiayi Zhang, Shamya Karumbaiah, Juan Miguel Andres-Bray, Huy Anh Nguyen, Juliana Maria Alexandra L. Andres, Bruce M. McLaren

Digital learning games have been increasingly adopted in classrooms to facilitate learning and to promote learning outcomes. Contrary to common beliefs, many digital learning games can be more effective for female students than male students in terms of learning and affective outcomes. However, the in-game learning mechanisms that explain these differences remain unclear. In the current study, we re-analyze three retrospective data sets drawn from three studies conducted in different years. These data sets, which involved 213, 197, and 287 students, were collected from a digital learning game that teaches late elementary and middle school students decimal concepts. We re-analyzed these data sets to understand how female and male students differ in the rates of gaming the system, a behavioral measure that reflects a form of disengagement while playing the game. Rates of gaming the system are compared between female and male students within each of the game’s two core instructional activities (i.e. problem-solving and self-explanation) as well as tested in a game vs. non-game condition. We found that female students game the system significantly less than male students in the self-explanation step in the game condition, in all three studies. This difference in the rates of gaming mediates the relationship between gender and learning outcomes, a pattern in which female students tend to learn more than male students, across all three studies. These results suggest that future design iterations of the game could focus on reducing gaming behaviors for male students, which might improve learning outcomes for female students as well. Understanding gender-based differences in game behaviors can inform future game design to promote better learning outcomes for all students.

课堂上越来越多地采用数字学习游戏来促进学习和提高学习效果。与通常的看法相反,许多数字学习游戏在学习和情感成果方面对女生比对男生更有效。然而,解释这些差异的游戏内学习机制仍不清楚。在本研究中,我们重新分析了三组回顾性数据,这些数据来自不同年份进行的三项研究。这些数据集分别涉及 213、197 和 287 名学生,是从一款教授小学和初中后期学生十进制概念的数字学习游戏中收集的。我们对这些数据集进行了重新分析,以了解男女学生在系统游戏率方面的差异,系统游戏率是一种行为测量指标,反映了学生在玩游戏时的一种脱离状态。我们比较了男女学生在游戏的两个核心教学活动(即解决问题和自我解释)中的游戏率,并在游戏与非游戏条件下进行了测试。我们发现,在所有三项研究中,在游戏条件下的自我解释步骤中,女生对系统的游戏程度明显低于男生。在所有三项研究中,这种游戏率的差异调节了性别与学习结果之间的关系,即女生往往比男生学习得更多。这些结果表明,未来的游戏设计迭代可以把重点放在减少男生的游戏行为上,这样也可以提高女生的学习效果。了解游戏行为中的性别差异可以为未来的游戏设计提供参考,从而促进所有学生取得更好的学习效果。
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引用次数: 0
Transfer of responsibility in novice and experienced Iranian EFL teachers’ scaffolding: interactional characteristics 新手和经验丰富的伊朗 EFL 教师支架式教学中的责任转移:互动特征
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-20 DOI: 10.1007/s11251-024-09682-8
Masoomeh Estaji, Amir Kardoust

Transfer of responsibility for learning from the teacher to the learner has been considered the final aim of successful scaffolding. Despite this importance, few studies have been conducted in this area. The present conversation analytic study examined the scaffolding interactions of a sample of Iranian English language teachers to identify how responsibility for learning was transferred in scaffolding interactions. The teachers were divided into two groups of novice and experienced based on the criteria proposed in the extant literature. The results showed that the novice and experienced language teachers enacted transfer differently. The novice teachers used more high-support moves, like models and questions with scarce use of low-support moves, thereby mostly curbing the transfer process. However, the experienced teachers used a wider range of scaffolding strategies especially low-support moves to encourage learners to use their learning potentials. The novice teachers mismanaged repair-initiations while experienced teachers mainly ended repair-initiations in self-repairs. The study suggests that the teachers’ experience level can significantly impact their scaffolding interactions with students. Further, it highlights the significance of providing ongoing professional development and training opportunities for language teachers to improve their ability to provide effective scaffolding. Overall, the study highlights the need for continued research in this domain.

将学习责任从教师转移给学习者一直被认为是支架式教学成功的最终目的。尽管如此重要,但这方面的研究却很少。本会话分析研究考察了伊朗英语教师的支架式互动,以确定在支架式互动中学习责任是如何转移的。根据现有文献中提出的标准,这些教师被分为新手和经验丰富的两组。结果表明,新手和经验丰富的语言教师实施转移的方式不同。新手教师更多地使用高支持动作,如示范和提问,而很少使用低支持动作,从而在很大程度上抑制了迁移过程。然而,经验丰富的教师使用了更广泛的支架策略,特别是低支持动作,以鼓励学习者发挥自己的学习潜能。新手教师对修补启动处理不当,而经验丰富的教师则主要以自我修补结束修补启动。研究表明,教师的经验水平会对他们与学生的支架互动产生重大影响。此外,研究还强调了为语文教师提供持续的专业发展和培训机会,以提高他们提供有效支架的能力的重要性。总之,本研究强调了在这一领域继续开展研究的必要性。
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引用次数: 0
Effects of short- and long-term prompting in learning journals on strategy use, self-efficacy, and learning outcomes 学习日记中的短期和长期提示对策略使用、自我效能感和学习成果的影响
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-18 DOI: 10.1007/s11251-024-09671-x
Nadja M. Gentner, Lisa Respondek, Tina Seufert

In learning journals, prompts were shown to increase self-regulated learning processes effectively. As studies on effects of long-term prompting are sparse, this study investigates the effects of prompting cognitive and metacognitive self-regulation strategies short-term and long-term in learning journals on learners’ strategy use, self-efficacy, and learning outcome. Therefore, 74 university students kept a weekly learning journal as follow-up course work over a period of eight weeks. All students’ learning journals included prompts for a short-term period, half of the students were prompted long-term. While self-efficacy was assessed via self-reports, strategy use was measured with self-reports and qualitative data from the learning journals. Learning outcomes were assessed via course exams. Short-term prompting increased self-reported cognitive and metacognitive strategy use, and the quantity of cognitive strategy use. Yet, it did not affect self-efficacy, which predicted the learning outcome. Irrespective whether prompting continued or not, self-reported cognitive and metacognitive strategy use, and self-efficacy decreased. Qualitative data indicate that the quantity of learners’ cognitive strategy use kept stable irrespective of the condition. The results indicate that short-term prompting activates cognitive and metacognitive strategy use. Long-term prompting in learning journals had no effect on strategy use, self-efficacy, and performance. Future research should investigate possible enhancers of long-term prompting like feedback, adaptive prompts or additional support.

研究表明,在学习日记中,提示能有效提高自我调节的学习过程。由于有关长期提示效果的研究较少,本研究探讨了在学习日记中长期和短期提示认知和元认知自我调节策略对学习者策略使用、自我效能感和学习效果的影响。因此,74 名大学生在八周内每周写一篇学习日记,作为后续课程作业。所有学生的学习日志都包含短期提示,半数学生的学习日志包含长期提示。自我效能通过自我报告进行评估,而策略的使用则通过自我报告和学习日志中的定性数据进行测量。学习成果通过课程考试进行评估。短期提示增加了自我报告的认知和元认知策略的使用,以及认知策略使用的数量。然而,这并不影响预测学习结果的自我效能感。无论提示是否继续,自我报告的认知和元认知策略使用情况以及自我效能感都有所下降。定性数据表明,无论在什么条件下,学习者使用认知策略的数量都保持稳定。结果表明,短期提示能激活认知和元认知策略的使用。学习日记中的长期提示对策略使用、自我效能感和成绩没有影响。未来的研究应调查长期提示的可能增强因素,如反馈、适应性提示或额外支持。
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引用次数: 0
Designing to support equity-as-transformation perspectives for multilingual science learners 为多语言科学学习者设计支持公平即变革的视角
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-18 DOI: 10.1007/s11251-024-09674-8
Ashlyn Pierson, D. Teo Keifert, Bethany Daniel, Sarah Lee, Tessaly Jen, Adam Bell, Heather Johnson, Rachel Askew, Andrea Henrie

In this paper, we examine how researchers and teachers in a multi-year professional development program shifted their conceptualizations of equity. Following (Grapin et al (2023) Sci Educ 107:999–1032), we ground our analysis in two conceptualizations of equity that exist across fields: equity-as-access (learners should have access to disciplinary knowledge, practices, and career paths) and equity-as-transformation (learners should transform what it means to learn and participate in disciplines). In this study, we describe a professional development (PD) design initially intended to support equitable science teaching and learning by focusing on representations. This initial framing did not distinguish between conceptions of equity-as-access versus equity-as-transformation. As a result, the PD did not provide facilitators or teachers with resources for ideological sensemaking towards equity-as-transformation. Catalyzed by teachers’ request for PD focused on multilingual learners (MLs), we noticed aspects of our design that offered only images of equity-as-access. In response, we designed activities for teachers that offered space and resources for considering equity-as-transformation. As a case study (Yin (2014) Case study research: design and methods, SAGE) using interaction analysis (Jordan and Henderson (1995) J Learn Sci 4:39–103) of PD videos, we describe how we PD activities and facilitation strategies to integrate transformative conceptualizations of equity. These findings have implications for both research and practice. In terms of research, they demonstrate the importance of using multiple lenses to consider equity in science classrooms. In terms of practice, they underscore the importance of providing teachers with opportunities to explicitly connect new perspectives of equity with day-to-day experiences of classroom teaching.

在本文中,我们研究了研究人员和教师在一个多年期专业发展项目中如何转变他们的公平概念。根据(Grapin et al (2023) Sci Educ 107:999-1032),我们的分析立足于两个跨领域的公平概念:公平即获取(学习者应该有机会获取学科知识、实践和职业道路)和公平即转变(学习者应该转变学习和参与学科的意义)。在本研究中,我们介绍了一种专业发展(PD)设计,其最初目的是通过关注表征来支持公平的科学教学。最初的设计并没有区分 "公平即获取 "与 "公平即转化 "的概念。因此,PD 并没有为主持人或教师提供资源,帮助他们在思想上形成 "公平即变革 "的意识。在教师们要求以多语言学习者(MLs)为重点的教学设计的推动下,我们注意到我们的设计只提供了公平即机会的形象。为此,我们为教师设计了一些活动,为他们提供了考虑公平即变革的空间和资源。作为一项案例研究(Yin (2014),《案例研究:设计与方法》,SAGE),我们使用互动分析法(Jordan and Henderson (1995) J Learn Sci 4:39-103)对教学视频进行了分析,描述了我们如何通过教学活动和促进策略来整合变革性的公平概念。这些发现对研究和实践都有影响。在研究方面,它们证明了在科学课堂上使用多种视角来考虑公平问题的重要性。在实践方面,它们强调了为教师提供机会,将新的公平观点与日常课堂教学经验明确联系起来的重要性。
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引用次数: 0
Designing for learning across disciplines: leveraging graphs to improve knowledge integration in science 跨学科学习设计:利用图表改进科学知识整合
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-13 DOI: 10.1007/s11251-024-09673-9
Phillip A. Boda, Shruti Bathia, Libby Gerard, Marcia C. Linn

Advances in graphing technologies and learning sciences pedagogy have the potential to equitably support students when exploring complex systems depicting dynamic relationships across multiple disciplinary topics in Science, Technology, Engineering, and Mathematics (STEM). We report on the cumulative impact of science units designed in a Research Practice Partnership (RPP) that leveraged Knowledge Integration (KI) pedagogy to support middle school students to generalize insights to new graph representations and science topics. Teachers across 11 schools incorporated the graph-science units into their curriculum plans. We analyzed ~ 8000 responses to validated and reliable graph-science KI assessment items administered before the first year and after one, two, or three years of instruction aligned with KI pedagogy. With random coefficient, multi-level, mixed-effect regression modeling, we analyzed performance after one-, two-, and three-years of graph-science KI instruction. We also analyzed the growth trajectories of subgroups, i.e., multilingual learners. Data suggest two years of graph-science KI instruction is needed to make significant impacts on student learning and ameliorated the disparity between students with different native language fluencies. These results illustrate the value of technology-enhanced, pedagogically aligned K-12 science instruction that is designed to support connecting diverse graph data and science knowledge comprehensively and cumulatively.

图形技术和学习科学教学法的进步有可能为学生探索描述科学、技术、工程和数学(STEM)多个学科主题动态关系的复杂系统提供公平支持。我们报告了在研究实践合作项目(RPP)中设计的科学单元所产生的累积影响,这些单元利用知识整合(KI)教学法,支持初中学生将见解归纳到新的图形表示法和科学主题中。11 所学校的教师将图形科学单元纳入了他们的课程计划。我们分析了约 8000 份对经过验证且可靠的图形科学 KI 评估项目的回复,这些评估项目分别在第一年之前以及与 KI 教学法相匹配的一年、两年或三年教学之后进行。通过随机系数、多层次、混合效应回归模型,我们分析了图形科学 KI 教学一年、两年和三年后的成绩。我们还分析了子群体(即多语言学习者)的成长轨迹。数据表明,需要两年的图形科学 KI 教学才能对学生的学习产生显著影响,并能改善母语流利程度不同的学生之间的差距。这些结果说明了技术增强型、与教学相一致的 K-12 科学教学的价值,这种教学旨在支持将不同的图表数据与科学知识全面、累积地联系起来。
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引用次数: 0
Can failure be made productive also in Bayesian reasoning? A conceptual replication study 在贝叶斯推理中,失败也能产生结果吗?概念复制研究
IF 2.5 3区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-12 DOI: 10.1007/s11251-024-09670-y
Katharina Loibl, Timo Leuders

The composite instructional design PS-I combines an initial problem-solving phase (PS) with a subsequent explicit instruction phase (I). PS-I has proven effective for conceptual learning in comparison to instructional designs with the reverse order (I-PS), especially when the explicit instruction phase productively builds on students’ erroneous or incomplete (i.e., failed) solution attempts. Building on student solutions during explicit instruction may support students to integrate their intermediate knowledge (acquired during problem solving) with the newly introduced knowledge components. While these effects have been shown for learning the concept of variance in multiple studies, it remains unclear whether these effects generalize to other situations. We conducted a conceptual replication study of Loibl and Rummel (Loibl and Rummel, Learning and Instruction 34:74–85, 2014a) choosing Bayesian reasoning as target knowledge. 75 students were assigned to four conditions in a 2 × 2 design (factor 1: PS-I vs. I-PS; factor 2: instruction phase with vs. without typical student solutions). In contrast to Loibl and Rummel (2014a), we did neither find a main effect for PS-I vs. I-PS, nor for building on typical student solutions. The missing effect of PS-I can be explained by the fact that students merely activated their prior knowledge on probabilities without exploring the problem-solving space and without becoming aware of their knowledge gaps. The missing effect of building on typical student solutions can be explained by a mismatch of the solutions generated and the ones included in the explicit instruction. Therefore, building on typical student solutions did not foster an integration of students’ intermediate knowledge and the introduced knowledge components.

PS-I 复合教学设计结合了最初的问题解决阶段(PS)和随后的明确指导阶段(I)。与顺序相反的教学设计(I-PS)相比,PS-I 已被证明能有效地促进概念学习,尤其是当显性教学阶段在学生错误或不完整(即失败)的解决方案尝试基础上进行有效教学时。在显性教学过程中以学生的解决方案为基础,可以帮助学生将他们的中间知识(在解决问题过程中获得的)与新引入的知识成分整合起来。虽然在多项研究中,方差概念的学习都显示出了这些效果,但这些效果是否能推广到其他情况,目前仍不清楚。我们对 Loibl 和 Rummel(Loibl 和 Rummel,《学习与教学》34:74-85,2014a)进行了一项概念复制研究,选择贝叶斯推理作为目标知识。在 2 × 2 设计中,75 名学生被分配到四个条件中(因素 1:PS-I vs. I-PS;因素 2:有典型学生解决方案的教学阶段 vs. 无典型学生解决方案的教学阶段)。与 Loibl 和 Rummel(2014a)不同的是,我们既没有发现 PS-I 与 I-PS 的主效应,也没有发现基于典型学生解决方案的主效应。PS-I效果缺失的原因在于,学生只是在没有探索问题解决空间、没有意识到自己的知识缺口的情况下激活了已有的概率知识。建立在典型学生解决方案基础上的效果缺失,可以解释为生成的解决方案与明确教学中的解决方案不匹配。因此,以典型的学生解决方案为基础并不能促进学生将中间知识与引入的知识成分进行整合。
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引用次数: 0
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Instructional Science
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