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1.
Harry Wiggins Ansie Harding 《International Journal of Mathematical Education in Science & Technology》2017,48(8):S16-S29
ABSTRACTThis paper presents an enrichment case study to showcase a possible avenue for attending to the needs of academically strong mathematics students. We report on a group of university students who were presented with the opportunity of exploring a specific first year mathematics topic deeper, using an inquiry-based learning approach as part of an enrichment programme. Following the intervention, students completed a questionnaire and a few were interviewed to establish their experiences of the enrichment programme. We discuss the successes and pitfalls of the intervention and report on the impact it had on the participants. 相似文献
2.
Timothy Fukawa-Connelly 《International Journal of Mathematical Education in Science & Technology》2016,47(5):733-749
There is considerable variety in inquiry-oriented instruction, but what is common is that students assume roles in mathematical activity that in a traditional, lecture-based class are either assumed by the teacher (or text) or are not visible at all in traditional math classrooms. This paper is a case study of the teaching of an inquiry-based undergraduate abstract algebra course. In particular, gives a theoretical account of the defining and proving processes. The study examines the intellectual responsibility for the processes of defining and proving that the professor devolved to the students. While the professor wanted the students to engage in all aspects of defining and proving, he was only successful at devolving responsibility for certain aspects and much more successful at devolving responsibility for proving than conjecturing or defining. This study suggests that even a well-intentioned instructor may not be able to devolve responsibility to students for some aspects of mathematical practice without using a research-based curriculum or further professional development. 相似文献
3.
Diana White Nicholas Carruth Joshua Eastes Dominic Klyve Daniel Otero Nicholas A. Scoville 《International Journal of Mathematical Education in Science & Technology》2019,50(7):987-998
ABSTRACTThis study investigates changes in instructor teaching tendencies, instructor’s perception of impact on student learning and dispositions, and methods of implementation of Primary Source Projects (PSPs). PSPs are curricular modules designed to teach core mathematical topics from primary historical sources rather than from standard textbooks. In essence, they are a form of inquiry-based learning that incorporates the history of mathematics through original source texts. We provide an overview of results from two semesters of implementation reports and surveys administered at the beginning and end of the semester by instructors who implemented PSPs in their undergraduate mathematics classes. 相似文献
4.
A new understanding of adversarial examples and adversarial robustness is proposed by decoupling the data generator and the label generator (which we call the teacher).In our framework,adversarial robustness is a conditional concept--the student model is not absolutely robust,but robust with respect to the teacher.Based on the new understand-ing,we claim that adversarial examples exist because the student cannot obtain sufficient information of the teacher from the training data.Various ways of achieving robustness is compared.Theoretical and numerical evidence shows that to efficiently attain robustness,a teacher that actively provides its information to the student may be necessary. 相似文献
5.
Sandra L. Laursen Marja-Liisa Hassi Sarah Hough 《International Journal of Mathematical Education in Science & Technology》2016,47(2):256-275
This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities, separately targeting elementary and secondary pre-service teachers. Classroom observation established that the courses were taught with student-centred methods that were comparable to those used in IBL courses for students in mathematics-intensive fields at the same institutions. To measure pre-service teachers' gains in mathematical knowledge for teaching, we administered the Learning Mathematics for Teaching (LMT) instrument developed by Hill, Ball and Schilling for in-service teacher professional development. Results from the LMT show that pre-service teachers made significant score gains from beginning to end of their course, while data from interviews and from surveys of learning gains show that pre-service teachers viewed their gains as relevant to their future teaching work. Measured changes on pre-/post-surveys of attitudes and beliefs were generally supportive of learning mathematics but modest in magnitude. The study is distinctive in applying the LMT to document pre-service teachers' growth in mathematical knowledge for teaching. The study also suggests IBL is an approach well suited to mathematics departments seeking to strengthen their pre-service teacher preparation offerings in ways consistent with research-based recommendations. 相似文献
6.
Carolyn Parker Jeffrey Grigg Stephanie D'Souza Charlie Mitchell Erica Smith 《School science and mathematics》2020,120(6):364-374
This article reports findings from a study of an integrated science, technology, engineering, and mathematics (STEM) education program on student interest and awareness in science and engineering. The analysis features grade 3–5 students from a high-poverty, urban school system in the Mid-Atlantic region. Through the quantitative analysis of closed ended survey responses and the qualitative analysis of an open-ended query, we describe how the adoption of an intensive STEM-focused partnership could influence students’ early interest in and awareness of science and engineering as disciplines and careers. The analysis of the student responses revealed that after 1 year of the project, the students enrolled in the program demonstrated developing interest in science and engineering and were better able to articulate a greater understanding of engineering as a discipline. These findings have implications for the effectiveness of an integrated STEM approach for upper elementary students participating and succeeding in the STEM fields. 相似文献
7.
Sarah B. Boesdorfer Anna Maria Arias Bayleigh Mull Kyle Lieberum 《School science and mathematics》2020,120(7):425-440
Curriculum materials can play a major role in shaping teachers’ thinking about instruction and content as well as serve as a support for teachers’ learning. With the inclusion of engineering in NGSS, many teachers may be turning to existing curriculum materials to help them infuse engineering into their science classroom, especially when they do not have the time or opportunity for professional development sessions. In this study, we identified a sample of curriculum materials freely available online to chemistry teachers trying to incorporate engineering in the topics of stoichiometry and/or energy, common topics in secondary chemistry curricula. Using qualitative coding methods, we examined what this sample had to offer the chemistry teachers in the way of developing their understanding of engineering and teaching it. Our findings indicate that within our sample there are limited existing curriculum materials to support teachers’ engineering incorporation into secondary chemistry, and the support for teachers varied in terms of content and usefulness across the materials. The materials provided procedural information for activities but lacked in supports for teacher learning and student development beyond the procedure. Implications for the enactment of NGSS in secondary science along with needs for curriculum development and teacher learning are discussed. 相似文献
8.
Ezzat G. Bakhoum 《International Journal of Mathematical Education in Science & Technology》2013,44(5):637-655
Macromedia's FLASH development system can be a great tool for mathematics education. This article presents detailed Flash tutorials that were developed and taught by the author to a group of mathematics professors in a summer course in 2005. The objective was to educate the teachers in the techniques of animating equations and mathematical concepts in Flash. The course was followed by a 2-year study to assess the acceptance of the technology by the teachers and to gauge its effectiveness in improving the quality of mathematics education. The results of that 2-year study are also reported here. 相似文献
9.
Takafumi Kanamori 《Annals of the Institute of Statistical Mathematics》2002,54(3):459-475
We study a parametric estimation problem. Our aim is to estimate or to identify the conditional probability which is called the system. We suppose that we can select appropriate inputs to the system when we gather the training data. This kind of estimation is called active learning in the context of the artificial neural networks. In this paper we suggest new active learning algorithms and evaluate the risk of the algorithms by using statistical asymptotic theory. The algorithms are regarded as a version of the experimental design with two-stage sampling. We verify the efficiency of the active learning by simple computer simulations. 相似文献
10.
O. A. Ivanov V. V. Ivanova A. A. Saltan 《International Journal of Mathematical Education in Science & Technology》2018,49(7):1110-1118
In this paper, we report on the results of an experiment in teaching discrete mathematics to students majoring in business informatics. We supplemented our problem-based approach to teaching the course with a set of Likert-scale surveys or questionnaires that helped improve the students’ performance. On the one hand, these surveys gave us feedback and, on the other, encouraged the students to reflect on the subject-matter. The experiment was quite successful, as the grades obtained by the students on the exam were significantly higher than usual. Here, we describe the structure of the surveys and the method of evaluation of the experimental results. 相似文献
11.
Kazuhiko Nunokawa 《International Journal of Mathematical Education in Science & Technology》2013,44(2):245-253
States where solvers are stuck are important points in mathematical problem-solving processes. The purpose of this paper is to examine such states from the viewpoint of how a solver sees a problem situation and to obtain some insights into the kinds of activities which help solvers overcome such states. For this purpose, the information the solver has before the stuck state will be analysed closely. While the gap between such information and a typical solution will be checked, the opportunities the solver could have had in his/her solving process to bridge this gap will be identified based on the analysis of the process. Such discussion will show the importance of investigating problem situations and gathering information about them. A relation between such activity and heuristics will be also discussed. 相似文献
12.
Jeanna R. Wieselmann Gillian H. Roehrig Justine N. Kim 《School science and mathematics》2020,120(5):297-308
With ongoing underrepresentation of women in STEM fields, it is necessary to explore ways to maintain girls' STEM interest throughout elementary and middle school. This study is situated within the context of Designs in STEM (pseudonym), an out-of-school program that engages urban youth in authentic STEM experiences. Participants were 30 girls attending Designs in STEM in grades four and five. Participants were interviewed about their STEM interest, out-of-school versus in-school STEM learning experiences, and how gender relates to STEM success. Several key findings emerged. First, although students' prior school experiences with mathematics resulted in less positive dispositions toward mathematics than other STEM disciplines, their experiences at Designs in STEM revealed that mathematics could be fun and valuable when used for real-world purposes. Second, students found Designs in STEM to be more engaging and inspiring due to the context and pedagogies employed by Designs in STEM instructors. Third, despite observing girls' behavior that was more aligned with academic success, participants still identified STEM advantages for boys. Finally, participants defined success and intelligence in STEM based on speed and tracking. Discussion focuses on the need to consider how school-based mathematics instruction may serve as a barrier to girls' STEM interest and involvement. 相似文献
13.
ABSTRACTIn this paper we present a pilot study to improve the learning process on distance learning Engineering master's degrees. We propose an activity where the students individually produce a video in which they explain the solution to one of their assignments. They then receive the teacher's feedback and are acquainted with the assessment rubric. Finally, they produce a second version of the video, the assessment of which is the basis for their overall mark. The results of the study show that students improved their ability to give oral presentations. 相似文献
14.
We investigated not only the effects of schema-based instruction (SBI) on the mathematical outcomes of seventh-grade students with mathematical learning disabilities (MLD), but also extended prior work to analyze students’ written explanations on open-ended items involving ratio and proportion situations—ratio, proportion, and percent of change problems— to understand the ability to reason about proportions and identify misconceptions. The sample of 338 students with MLD [scored below the 25th percentile on a proportional problem solving (PPS) pretest] was taken from Jitendra, Harwell, Im, et al. (2019), which randomly assigned classrooms to either the SBI or control condition. Students with MLD in SBI classrooms outperformed their counterparts in control classrooms on proportional problem solving and general mathematics problem solving. Similar results, favoring the SBI condition, were found on the open-ended items; however, overall mean scores across pretest, posttest, and delayed posttest were low. Findings provide evidence for the limited understanding of fractional representations of ratios and highlight students’ persistent use of numerical and additive reasoning in explaining their low performance on the open-ended items. 相似文献
15.
Ken Takata 《International Journal of Mathematical Education in Science & Technology》2013,44(7):921-941
College students enrolling in the calculus sequence have a wide variance in their preparation and abilities, yet they are usually taught from the same lecture. We describe another pedagogical model of Individualized Additional Instruction (IAI) that assesses each student frequently and prescribes further instruction and homework based on the student's performance. Our study compares two calculus classes, one taught with mandatory remedial IAI and the other without. The class with mandatory remedial IAI did significantly better on comprehensive multiple-choice exams, participated more frequently in classroom discussion and showed greater interest in theorem-proving and other advanced topics. 相似文献
16.
《International Journal of Approximate Reasoning》2014,55(4):926-939
From observational data alone, a causal DAG is only identifiable up to Markov equivalence. Interventional data generally improves identifiability; however, the gain of an intervention strongly depends on the intervention target, that is, the intervened variables. We present active learning (that is, optimal experimental design) strategies calculating optimal interventions for two different learning goals. The first one is a greedy approach using single-vertex interventions that maximizes the number of edges that can be oriented after each intervention. The second one yields in polynomial time a minimum set of targets of arbitrary size that guarantees full identifiability. This second approach proves a conjecture of Eberhardt (2008) [1] indicating the number of unbounded intervention targets which is sufficient and in the worst case necessary for full identifiability. In a simulation study, we compare our two active learning approaches to random interventions and an existing approach, and analyze the influence of estimation errors on the overall performance of active learning. 相似文献
17.
基于客户资产理论,从客户视角研究微型付款模式影响企业绩效的机制进行研究.采用问卷设计和数据收集方式,研究共回收有效问卷2260份.通过对这2260份有效问卷进行信度和效度检验、描述性统计分析、相关分析和多元回归分析,对关于微型付款模式影响企业绩效的假设进行实证,找出客户视角微型付款模式影响企业绩效的机制. 相似文献
18.
I.M. Verner S. Aroshas A. Berman 《International Journal of Mathematical Education in Science & Technology》2013,44(4):427-442
This article presents a study in which applications were integrated in the Multivariable Calculus course at the Technion in the framework of supplementary tutorials. The purpose of the study was to test the opportunity of extending the conventional curriculum by optional applied problem-solving activities and get initial evidence on the possible impact of the tutorials on students’ beliefs about the value of learning mathematics with applications. The study lasted three semesters and consisted of three experiments in which supplementary tutorials were offered in different forms: a weekly evening meeting for interested students, a weekly extra hour added to the conventional calculus class, and a workshop which introduces mathematics concepts from the application perspective. The study reveals: (1) significant positive effect of the tutorials on the students’ beliefs (in all three experiments); (2) statistically significant advantage of the group involved in the tutorials in relation to the group that learned in the conventional way (second experiment); (3) students’ positive evaluation of the workshops for better understanding the course lectures (third experiment). Grounding on the study experience, we propose for further discussion a stage model of the applied problem solving cycle. 相似文献
19.
We analyzed video data of five instructors teaching the Mean Value Theorem (MVT) in a first-semester calculus course as part of a broader project investigating how active learning strategies were being implemented and supported in calculus courses. We sought to identify the ways examples of functions that did or did not satisfy the conclusion of MVT were generated and used in instruction. Using thematic analysis, we identified four themes that serve as characterizations of examples, which then allowed for the analysis of trends and patterns. We propose that attention to the generation and use of examples serves as one lens for considering how students can be engaged in the mathematical activity of the classroom, with implications for learning. This work contributes to an evolving notion of what is entailed in students’ active learning of mathematics and the role of the instructor in facilitating active learning opportunities. 相似文献
20.
JiYeong I 《School science and mathematics》2019,119(3):127-141
Implementing mathematically challenging tasks is difficult for teachers when working with emergent bilinguals because cognitively demanding tasks in mathematics commonly have high language demand. Currently, inadequate teacher preparation for teaching emergent bilinguals is becoming a significant concern in the United States as this population of students is rapidly growing. This study investigated how two mathematics preservice teachers (PSTs) support middle school emergent bilinguals to understand cognitively demanding mathematical problems through task modification. Fieldwork with a concurrent intervention was designed for the PSTs to work with emergent bilinguals in a one‐on‐one setting. The PSTs modified cognitively demanding mathematics tasks and designed a lesson for the emergent bilinguals based on the modified tasks. The results revealed that the task modification made by the PSTs tended to shift from reducing cognitive demands in mathematics and language to maintaining the demands through learning strategies of contextual support. 相似文献