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Children's Arithmetic Strategy Use and Strategy Change from Grade 3 to Grade 4. 三至四年级儿童算术策略使用及策略变化。
IF 2.1 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2025-01-01 Epub Date: 2025-05-29 DOI: 10.1007/s10763-025-10578-3
Henning Sievert, Marian Hickendorff, Ann-Katrin van den Ham, Aiso Heinze

Children and adults use various strategies to solve arithmetic problems such as 701-698. Many studies have investigated students' strategy use at a specific time point, but our knowledge about the longitudinal changes in students' strategy use in elementary school is limited. Using a multilevel latent transition analysis, we examined individual differences in strategy use in multi-digit addition and subtraction problems of 1,947 students measured at the end of Grade 3 and the end of Grade 4. The analysis identified five different strategy use profiles, with the three largest profiles (mostly written algorithms, mostly mental computations, and a combination of written algorithms and mental computations) characterizing the strategy use of the large majority of students. For strategy use change over time, the analysis identified heterogeneous learning paths from Grade 3 to Grade 4. Nearly half of the students remained in the same strategy profile, but the other half moved to another profile. Students' prior arithmetic knowledge and gender affect both strategy use in Grade 3 and strategy change between Grade 3 and 4, with amplifying effects. The classroom characteristics classroom intellectual composition and mathematics textbook had an effect on students' strategy use in Grade 3, but not on strategy change. In conclusion, the current study shows how students differ not only in their arithmetic strategy use at one specific point in time but also in their learning paths, and that both student and classroom factors have impact.

Supplementary information: The online version contains supplementary material available at 10.1007/s10763-025-10578-3.

儿童和成人用不同的策略来解决像701-698这样的算术问题。许多研究调查了学生在特定时间点的策略使用情况,但我们对小学生策略使用的纵向变化了解有限。采用多层次潜在转移分析,对1947名三年级和四年级学生进行了多位数加减法题策略使用的个体差异研究。分析确定了五种不同的策略使用概况,其中三个最大的概况(主要是书面算法,主要是心算,以及书面算法和心算的结合)表征了大多数学生的策略使用情况。对于策略使用随时间的变化,分析确定了从三年级到四年级的异构学习路径。近一半的学生保持了同样的策略模式,但另一半则改变了策略模式。学生的先验算术知识和性别对三年级策略使用和三至四年级策略变化均有影响,且具有放大效应。课堂特征、课堂智力作文和数学教材对三年级学生的策略使用有影响,但对策略改变没有影响。总之,目前的研究表明,学生不仅在某一特定时间点的算术策略使用上存在差异,而且在他们的学习路径上也存在差异,学生和课堂因素都有影响。补充资料:在线版本提供补充资料,网址:10.1007/s10763-025-10578-3。
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引用次数: 0
Exploring Teachers' Resource Utilization Practices and Beliefs in Mathematics Education: A Cross-National Study on Reasoning and Proving. 探索数学教育中教师的资源利用实践与信念:一项关于推理与证明的跨国研究。
IF 2.1 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2025-01-01 Epub Date: 2025-05-14 DOI: 10.1007/s10763-025-10577-4
Iveta Kohanová, Mária Slavíčková, Samuel Rosa, Benedetto Di Paola, Jakub Michal, Erdinç Çakıroğlu

This study delves into resource utilization for teaching reasoning and proof (R&P) among mathematics teachers across five European countries. Employing an online questionnaire, the research gathers data on resource use, beliefs about R&P importance, teachers' self-reported confidence in R&P instruction, and demographic factors. Through statistical analyses, including correlation, logistic regression, and chi-squared tests, the study explores relationships between teachers' resource use, beliefs, self-reported confidence in R&P instruction, and demographics. Results unveil a significant yet moderate association between resource utilization for lesson preparation and R&P instruction, with variations noted among resource types. While certain resources like professional periodicals/journals and online professional platforms display moderate correlations, others like general websites exhibit weaker ones. Moreover, the study identifies a significant but weak association between resource use, beliefs about R&P, and teachers' self-reported confidence in R&P instruction. The country emerged as a prominent determinant of resource utilization patterns, with notable consistency observed in the use of textbooks and self-created materials across national contexts. These findings underscore the nuanced nature of mathematics teachers' resource practices, emphasizing the need to consider diverse factors, such as level of instruction or cultural context, in understanding R&P instructional practices. The implications of these findings for educational practice, policy, and future research are discussed.

本研究探讨了五个欧洲国家数学教师在推理与证明(R&P)教学中的资源利用情况。采用在线问卷,研究收集了资源使用、对R&P重要性的信念、教师对R&P教学的自我报告信心以及人口统计因素的数据。本研究透过相关、逻辑回归、卡方检验等统计分析,探讨教师资源使用、信念、自我报告的R&P教学信心与人口统计学之间的关系。结果揭示了备课资源利用与R&P教学之间的显著而适度的关联,在资源类型之间存在差异。虽然某些资源,如专业期刊/期刊和在线专业平台表现出适度的相关性,但其他资源,如一般网站,表现出较弱的相关性。此外,研究发现资源使用、R&P信念和教师自我报告的R&P教学信心之间存在显著但微弱的关联。国家已成为资源利用模式的主要决定因素,在各国使用教科书和自编材料方面具有显著的一致性。这些发现强调了数学教师资源实践的微妙本质,强调了在理解R&P教学实践时需要考虑多种因素,如教学水平或文化背景。讨论了这些发现对教育实践、政策和未来研究的意义。
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引用次数: 0
STEM Outside of School: a Meta-Analysis of the Effects of Informal Science Education on Students' Interests and Attitudes for STEM 校外 STEM:非正规科学教育对学生 STEM 兴趣和态度影响的 Meta 分析
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-17 DOI: 10.1007/s10763-024-10504-z
Xin Xia, Lillian R. Bentley, Xitao Fan, Robert H. Tai

This meta-analysis explores the impact of informal science education experiences (such as after-school programs, enrichment activities, etc.) on students' attitudes towards, and interest in, STEM disciplines (Science, Technology, Engineering, and Mathematics). The research addresses two primary questions: (1) What is the overall effect size of informal science learning experiences on students' attitudes towards and interest in STEM? (2) How do various moderating factors (e.g., types of informal learning experience, student grade level, academic subjects, etc.) impact student attitudes and interests in STEM? The studies included in this analysis were conducted within the United States in K-12 educational settings, over a span of thirty years (1992–2022). The findings indicate a positive association between informal science education programs and student interest in STEM. Moreover, the variability in these effects is contingent upon several moderating factors, including the nature of the informal science program, student grade level, STEM subjects, publication type, and publication year. Summarized effects of informal science education on STEM interest are delineated, and the implications for research, pedagogy, and practice are discussed.

本荟萃分析探讨了非正规科学教育经历(如课后项目、增益活动等)对学生对 STEM 学科(科学、技术、工程和数学)的态度和兴趣的影响。研究主要解决两个问题:(1) 非正规科学学习经历对学生对 STEM 学科的态度和兴趣的总体影响大小如何?(2)各种调节因素(如非正式学习经历的类型、学生年级、学科等)如何影响学生对 STEM 的态度和兴趣?本次分析所包含的研究是在美国的 K-12 教育环境中进行的,时间跨度长达三十年(1992-2022 年)。研究结果表明,非正规科学教育项目与学生对 STEM 的兴趣之间存在正相关。此外,这些影响的变化取决于几个调节因素,包括非正式科学项目的性质、学生年级、STEM 学科、出版物类型和出版年份。总结了非正规科学教育对 STEM 兴趣的影响,并讨论了其对研究、教学和实践的影响。
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引用次数: 0
Preservice Teachers Learn to Engage in Argument from Evidence through the Science Writing Heuristic 职前教师通过科学写作启发式学习从证据中进行论证
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-16 DOI: 10.1007/s10763-024-10503-0
Dilek Özalp

Engaging in argument from evidence is a fundamental science practice. However, preservice elementary teachers have difficulty constructing arguments. They need effective experience with argument construction in science. Written argumentation is crucial in the process of science learning. One of the approaches for learning science through argumentative writing is the science writing heuristic. However, only a few studies have investigated preservice science teachers’ argument construction experiences with science writing heuristics. None of them involved preservice elementary teachers. Therefore, this study aimed to investigate preservice elementary teachers’ understanding of argument components and the effect of the science writing heuristic on their quality of written arguments. A mixed-methods design was used in this study. The research was carried out for 10 weeks during the Science Laboratory Practices course. A total of 57 preservice teachers participated in nine laboratory experiments. They completed 409 laboratory reports structured based on the science writing heuristic. The scores were analyzed through a mixed effect model. Additionally, a questionnaire was used to investigate the participants’ understanding of the argument components. The data were analyzed through content analysis. The analysis indicated that the science writing heuristic improved participants’ written argument quality over time. It can be concluded that this approach is effective at improving the quality of written arguments. In addition, although most of their understanding of argument components is aligned with expectations, there are several shortcomings as well. This study contributes to the literature by facilitating the effective engagement of preservice elementary teachers in argumentation through science writing heuristics.

根据证据进行论证是一项基本的科学实践。然而,职前小学教师在构建论证方面存在困难。他们需要有效的科学论证经验。书面论证在科学学习过程中至关重要。通过论证写作学习科学的方法之一是科学写作启发式。然而,只有少数研究调查了职前科学教师利用科学写作启发式构建论证的经验。其中没有一项涉及职前小学教师。因此,本研究旨在调查职前小学教师对论证要素的理解以及科学写作启发式对其书面论证质量的影响。本研究采用了混合方法设计。研究在科学实验实践课程期间进行,为期 10 周。共有 57 名职前教师参加了 9 个实验室实验。他们根据科学写作启发式完成了 409 份实验报告。得分通过混合效应模型进行分析。此外,还使用问卷调查参与者对论证要素的理解。数据通过内容分析法进行了分析。分析表明,随着时间的推移,科学写作启发式提高了参与者的书面论证质量。由此可以得出结论,这种方法能有效提高书面论证的质量。此外,虽然他们对论证要素的理解大多与预期一致,但也存在一些不足之处。本研究通过科学写作启发式方法促进小学职前教师有效地参与论证,从而为相关文献做出了贡献。
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引用次数: 0
Enhancing Pre-Service Mathematics Teachers' Competencies in Distance Education: An Empirical Investigation Utilizing Micro-Teaching and Peer Assessment 在远程教育中提高职前数学教师的能力:利用微型教学和同行评估的实证调查
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-13 DOI: 10.1007/s10763-024-10501-2
İpek Saralar-Aras, Habibe Güneş

The COVID-19 pandemic has prompted pre-service teachers to assume various teacher roles in distance education, necessitating a diverse range of competencies. However, pre-service mathematics teachers have expressed the need for professional support to enhance their preparation for future teaching responsibilities. This study explores the impact of a designed training program on pre-service mathematics teachers' self-assessment of their knowledge regarding teacher roles in distance education. The training course comprised seven sessions dedicated to instructional design, technology integration, pedagogical strategies, classroom management, facilitation, social interaction, and evaluation. Additionally, three sessions provided support for participants in designing their micro-teaching activities, followed by four sessions of micro-teaching with peer assessment. Data collected through questionnaires, interviews, micro-teaching materials, and rubrics were analysed using t-tests and content analysis. The results demonstrate that the implemented training program, incorporating micro-teaching and peer assessment, significantly enhanced pre-service mathematics teachers' perceived competence in various teacher roles. Consequently, we recommend the integration of these methods into teacher training programs as valuable pedagogical approaches.

COVID-19 的流行促使职前教师在远程教育中担任各种教师角色,这就要求他们具备各种能力。然而,职前数学教师表示需要专业支持,以加强他们对未来教学职责的准备。本研究探讨了设计的培训课程对职前数学教师自我评估远程教育中教师角色知识的影响。培训课程由七节课组成,分别涉及教学设计、技术整合、教学策略、课堂管理、引导、社会互动和评价。此外,还有三节课为学员设计微格教学活动提供支持,随后是四节微格教学与同行评价课。通过问卷、访谈、微课材料和评分标准收集到的数据采用 t 检验和内容分析法进行了分析。结果表明,结合微格教学和同伴评价的培训项目显著提高了职前数学教师对各种教师角色的认知能力。因此,我们建议将这些方法作为有价值的教学方法纳入教师培训计划。
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引用次数: 0
The Effectiveness of AI on K-12 Students’ Mathematics Learning: A Systematic Review and Meta-Analysis 人工智能对 K-12 学生数学学习的影响:系统回顾与元分析
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-12 DOI: 10.1007/s10763-024-10499-7
Linxuan Yi, Di Liu, Tiancheng Jiang, Yucheng Xian

Artificial intelligence (AI) shows increasing potential to improve mathematics instruction, yet integrative quantitative evidence currently is lacking on its overall effectiveness and factors influencing success. This systematic review and meta-analysis investigate the effectiveness of AI on improving mathematics performance in K-12 classrooms compared to traditional classroom instruction. Following the Preferred Reporting Items for Systematic Reviews and Meta-Analyses guidelines, we searched five databases from 2000 through December 2023, synthesizing findings from 21 relevant studies (40 samples) which met screening criteria. Results indicate a small overall effect size of 0.343 favoring AI under a random-effects model, showing a generally positive impact. Only one variable, AI type, was identified as having moderate effects, with AI demonstrating a greater impact when served as an intelligent tutoring system and adaptive learning system. Our findings establish an initial knowledge base for implementation and future research on the effective integration of AI into K–12 mathematics classrooms. This study also focuses on the appropriateness across age, mathematical contents, and AI design factors is aimed at further advancing the judicious adoption and success of classroom AI integration.

人工智能(AI)在改善数学教学方面显示出越来越大的潜力,但目前还缺乏有关其整体效果和影响成功因素的综合定量证据。与传统课堂教学相比,本系统综述和荟萃分析调查了人工智能在提高 K-12 课堂数学成绩方面的有效性。根据《系统综述和荟萃分析首选报告项目》指南,我们检索了从 2000 年到 2023 年 12 月的五个数据库,综合了符合筛选标准的 21 项相关研究(40 个样本)的结果。结果表明,在随机效应模型下,人工智能的总体效应大小为 0.343,显示出普遍的积极影响。只有一个变量,即人工智能类型,被认为具有中等程度的影响,当人工智能作为智能辅导系统和自适应学习系统时,其影响更大。我们的研究结果为人工智能有效融入 K-12 数学课堂的实施和未来研究奠定了初步的知识基础。本研究还关注了不同年龄、数学内容和人工智能设计因素之间的适宜性,旨在进一步推动人工智能课堂整合的明智采用和成功。
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引用次数: 0
Dimensionality and Invariance of Contemporary Mathematical Instruction Competence across Educational Systems 不同教育体制下当代数学教学能力的维度和不变性
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-11 DOI: 10.1007/s10763-024-10502-1
Pongprapan Pongsophon

This study investigates Contemporary Mathematical Instruction Competence (CMIC) using the PISA 2022 dataset. The research aims to identify the underlying dimensions of CMIC and assess their consistency across different cultural contexts. Variables were selected from teacher surveys in PISA 2022, focusing on mathematical reasoning, cognitive competencies, ICT use, and teaching goals. Data manipulation, cleaning, and factor analysis were performed in R. Exploratory Factor Analysis (EFA) and Confirmatory Factor Analysis (CFA) were conducted to validate the construct. EFA results indicated a well-defined two-factor structure: Technological and Collaborative Competence (TCC) and Cognitive and Pedagogical Competence (CPC). CFA confirmed this structure, with fit indices showing an excellent model fit (CFI = 0.984, TLI = 0.976, RMSEA = 0.046). Cross-cultural validation demonstrated the robustness of the CMIC model across nine countries: Australia, Brazil, Colombia, Kosovo, Korea, Malaysia, Panama, United Arab Emirates, and the United States. Partial scalar invariance was achieved, indicating acceptable model fit. These findings highlight the importance of integrating technological and cognitive competencies in mathematics instruction and suggest that CMIC is a relevant construct across diverse educational settings. Future research should explore further cross-cultural validations and the impact of educational policies on CMIC development.

本研究利用 PISA 2022 数据集对当代数学教学能力(CMIC)进行了调查。研究旨在确定 CMIC 的基本维度,并评估其在不同文化背景下的一致性。变量选自 PISA 2022 的教师调查,重点关注数学推理、认知能力、信息和通信技术的使用以及教学目标。数据处理、清理和因子分析均在 R 语言中进行,并通过探索性因子分析(EFA)和确证性因子分析(CFA)来验证建构。EFA 结果表明存在一个定义明确的双因素结构:技术与协作能力(TCC)和认知与教学能力(CPC)。CFA 证实了这一结构,拟合指数显示模型拟合度极佳(CFI = 0.984,TLI = 0.976,RMSEA = 0.046)。跨文化验证证明了 CMIC 模型在九个国家的稳健性:澳大利亚、巴西、哥伦比亚、科索沃、韩国、马来西亚、巴拿马、阿拉伯联合酋长国和美国。实现了部分标度不变性,表明模型的拟合度可以接受。这些研究结果凸显了在数学教学中整合技术和认知能力的重要性,并表明 CMIC 是一个跨越不同教育环境的相关建构。未来的研究应进一步探索跨文化验证以及教育政策对 CMIC 发展的影响。
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引用次数: 0
Assessing Scientific Inquiry: A Systematic Literature Review of Tasks, Tools and Techniques 评估科学探究:任务、工具和技术的系统文献综述
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-04 DOI: 10.1007/s10763-024-10498-8
De Van Vo, Geraldine Mooney Simmie

While national curricula in science education highlight the importance of inquiry-based learning, assessing students’ capabilities in scientific inquiry remains a subject of debate. Our study explored the construction, developmental trends and validation techniques in relation to assessing scientific inquiry using a systematic literature review from 2000 to 2024. We used PRISMA guidelines in combination with bibliometric and Epistemic Network Analyses. Sixty-three studies were selected, across all education sectors and with a majority of studies in secondary education. Results showed that assessing scientific inquiry has been considered around the world, with a growing number (37.0%) involving global researcher networks focusing on novel modelling approaches and simulation performance in digital-based environments. Although there was modest variation between the frameworks, studies were mainly concerned with cognitive processes and psychological characteristics and were reified from wider ethical, affective, intersectional and socio-cultural considerations. Four core categories (formulating questions/hypotheses, designing experiments, analysing data, and drawing conclusions) were most often used with nine specific components (formulate questions formulate prediction/hypotheses, set experiment, vary independent variable, measure dependent variable, control confounding variables, describe data, interpret data, reach reasonable conclusion). There was evidence of transitioning from traditional to online modes, facilitated by interactive simulations, but the independent tests and performance assessments, in both multiple-choice and open-ended formats remained the most frequently used approach with a greater emphasis on context than heretofore. The findings will be especially useful for science teachers, researchers and policy decision makers with an active interest in assessing capabilities in scientific inquiry.

尽管国家科学教育课程强调探究式学习的重要性,但评估学生的科学探究能力仍是一个争论不休的话题。我们的研究通过对 2000 年至 2024 年的文献进行系统回顾,探索了与科学探究评估相关的构建、发展趋势和验证技术。我们结合文献计量学和认识论网络分析,使用了 PRISMA 准则。我们选取了 63 项研究,涉及所有教育部门,其中大多数研究涉及中学教育。结果表明,世界各地都在考虑对科学探究进行评估,越来越多的研究(37.0%)涉及全球研究人员网络,重点关注新型建模方法和基于数字环境的模拟性能。尽管各框架之间的差异不大,但研究主要关注认知过程和心理特征,并从更广泛的伦理、情感、交叉和社会文化考虑因素中重新整合。最常用的是四个核心类别(提出问题/假设、设计实验、分析数据和得出结论)和九个具体 组成部分(提出问题、提出预测/假设、设置实验、改变自变量、测量因变量、控制混杂变量、 描述数据、解释数据、得出合理结论)。有证据表明,在交互式模拟的推动下,教学模式正在从传统模式向在线模式过渡,但选择题和开放式两种形式的独立测试和成绩评估仍然是最常用的方法,与以往相比,这种方法更加注重情境。这些研究结果对于积极关注科学探究能力评估的科学教师、研究人员和政策决策者尤为有用。
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引用次数: 0
Generalization among 5-Year-Olds in a Functional Context with Programmable Robot 5 岁儿童在可编程机器人功能环境中的泛化能力
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-04 DOI: 10.1007/s10763-024-10495-x
Lourdes Anglada, María C. Cañadas, Bárbara M. Brizuela

The aim of this study was to determine how 5-year-old children identified the functional relationship of correspondence, and whether or not they generalized when working on a task that involved programmable robots. We conducted this study with 15 children (9 girls and 6 boys) in their last year of preschool education. The study was designed around a generalization task that involved the function f(n)=n+2. Our findings indicate that nine of the children identified the correspondence relationship and five children generalized, three of them correctly.

本研究旨在确定 5 岁儿童如何识别对应的功能关系,以及他们在完成涉及可编程机器人的任务时是否进行了归纳。我们的研究对象是 15 名学前教育最后一年的儿童(9 名女孩和 6 名男孩)。研究围绕一个涉及函数 f(n)=n+2 的泛化任务展开。研究结果表明,9 名儿童找出了对应关系,5 名儿童进行了概括,其中 3 人正确。
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引用次数: 0
The Effect of a Cross-Curricular Course on Pre-Service Teachers’ Sustainable Development Attitudes and Mathematical Modeling Self-Efficacy Beliefs 跨学科课程对职前教师可持续发展态度和数学建模自我效能信念的影响
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-30 DOI: 10.1007/s10763-024-10497-9
Naz Fulya Çibik, Burçak Boz-Yaman

Considering the interdisciplinary nature of the sustainable development concept, this study aims to investigate the effect of a cross-curricular mathematical modeling course on pre-service teachers’ sustainable development attitudes and mathematical modeling self-efficacies and to investigate their opinions about the course. The sample for this mixed-method study with concurrent triangulation design was 44 pre-service mathematics teachers who were enrolled in a university from the western region of Türkiye. The data for the study is gathered through the sustainable development attitude scale, the mathematical modeling self-efficacy scale, and open-ended questions administered before and after the cross-curricular mathematical modeling course. Findings and analysis of the quantitative and qualitative data revealed that pre-service teachers showed a statistically significant improvement in both sustainable development attitude and mathematical modeling self-efficacy scores. Their statements from open-ended questions also supported the quantitative findings.

考虑到可持续发展概念的跨学科性质,本研究旨在调查跨学科数学建模课程对职前教师的可持续发展态度和数学建模自我效能的影响,并调查他们对该课程的看法。这项采用并行三角测量设计的混合方法研究的样本是来自土耳其西部地区一所大学的 44 名职前数学教师。研究数据通过可持续发展态度量表、数学建模自我效能量表以及跨学科数学建模课程前后的开放式问题收集。定量和定性数据的结果和分析表明,职前教师在可持续发展态度和数学建模自我效能感方面的得分都有显著提高。他们在开放式问题中的陈述也支持了定量研究结果。
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引用次数: 0
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International Journal of Science and Mathematics Education
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