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1.
《PRIMUS》2012,22(3):248-269
ABSTRACT We present a card trick that can be used to review or teach a variety of topics in discrete mathematics. We address many subjects, including permutations, combinations, functions, graphs, depth first search, the pigeonhole principle, greedy algorithms, and concepts from number theory. Moreover, the trick motivates the use of computers in mathematical research. The ultimate solution to the card trick makes use of Hall's Distinct Representative Theorem. 相似文献
2.
《PRIMUS》2012,22(2):215-219
Abstract In this note, we give an alternative approach to introduce the mean value theorem. By first establishing Cauchy-type Mean Value Theorem, we can easily derive other Mean Value Theorem, and their consequences. We believe this approach is more effective in presenting this topic in a typical calculus class. 相似文献
3.
《The Journal of educational research》2012,105(2):152-162
ABSTRACT The authors used data from the Early Childhood Longitudinal Study–Kindergarten cohort to examine whether parents’ knowledge of their children's reading and mathematics skills varies by academic domain and parents’ income group or ethnicity. Of particular interest was how parents’ knowledge is moderated by school- or home-based involvement. Parents’ knowledge was moderately related to their children's reading and mathematics scores. However, there were systematic income- and ethnicity-related differences in the correlations. Poor parents were reportedly less involved at home and school than nonpoor parents. White, non-Hispanic parents were more involved at school than other parents. School-based rather than home-based involvement was related to the strength of the correlations between parents’ knowledge and children's reading and mathematics scores. 相似文献
4.
《PRIMUS》2012,22(4):329-333
ABSTRACT It is often very difficult to get students to really understand what is happening mathematically in a classroom setting. Further, getting the students engaged so that they want to grasp the underlying concepts is even more troubling. One method sure to work is to force the students to participate in an activity which illustrates the principle. One of my favorite “human object lessons” illustrates Euler's method by playing games. In a small group setting, these activities really help students understand what Euler's method does. 相似文献
5.
We discuss a case study on how misinformation regarding Covid-19 health outcomes can arise due to confounding. Data from the UK on mortality rates suggest that people who have some level of vaccination and contract the Delta variant of Covid are twice as likely to die than those who are unvaccinated. Age, however, a confounding variable, when accounted for, produces a more complicated picture. The mortality rates for the vaccinated are statistically lower than the unvaccinated for the older but not younger age group. We present several approaches for teaching confounding to help students better understand this underemphasized concept's cause, effects, and origins. 相似文献
6.
Jo Lunn Brownlee Elizabeth Curtis Rebecca Spooner-Lane Florian Feucht 《Education 3-13》2017,45(2):191-208
Research shows that the beliefs individuals hold about knowledge and knowing (epistemic beliefs) influence learning approaches and outcomes. However, little is known about the nature of children's epistemic beliefs and how best to measure these. In this pilot study, 11 Australian children (in Grade 4 or Grade 6) were asked to ‘draw, write and tell’ about their epistemic beliefs using drawings, written responses and interviews, respectively. Drawings were analysed, with the majority of children depicting external, one-way sources of knowledge. The written statements and interviews were analysed using inductive thematic analysis, showing that children predominantly described knowledge acquisition as processes of task-based learning. Interviews also enabled children to describe a wider range of views. These results indicate that the methodological combination of ‘draw, write and tell’ allowed for a deeper understanding of the children's epistemic beliefs which holds implications for future research. 相似文献
7.
Learning outcomes as a concept has encountered a revival since the beginning of the Bologna process in 1999. The concept itself has a longer history with its roots in the behaviourist tradition of the 1960s. The goal of this review is to study how the historical roots of learning outcomes are noted in current research articles since the launch of the Bologna process and whether the concept of learning outcomes is used critically or uncritically. The review of 90 articles shows that the behaviourist tradition is still evident in the 21st century research with 29% of the articles directly and 11% indirectly referring uncritically to the respective publications or to the behaviourist epistemology. Only a minority of the articles, i.e. 8%, was found to be critical towards the behaviourist meaning of learning outcomes. 相似文献
8.
Educational fun items can be readily found and used to increase student motivation and learning. We illustrate resources and strategies for a specific piece of content: Simpson's paradox. 相似文献
10.
《PRIMUS》2012,22(1):67-92
Abstract The history of Fermat's Last Theorem, recounted in the theatrical piece Fermat's Last Tango, is a useful vehicle for introducing students to the variety of personalities, processes, and products involved in advanced mathematical investigation. The musical's accessible, informative, and positive portrayal of mathematicians and their work is discussed. The experience of mounting an all-student production in the spring of 2005 is described, and suggestions for related educational activities are offered. 相似文献
11.
《PRIMUS》2012,22(2):107-116
ABSTRACT Error estimates for tangent line approximations and for numerical integration are found using special cases of the error formulas for Taylor's Theorem and the Trapezoidal Rule, respectively. Proofs of these theorems rely on a modification of Rolle's Theorem. By recasting these theorems, their proofs are more accessible to first semester calculus students. The advantages are several. First, students are able to estimate errors in approximations. Second, to take full advantage of the results, students need to use a graphing calculator or computer algebra system. Third, students are introduced to two theorems which use the same proof-technique. Fourth, students become familiar with one of calculus' big-name theorems. 相似文献
12.
Elizabeth Dunphy 《International Journal of Early Years Education》2010,18(4):331-347
One-to-one interviewing is one of the most powerful ways of exploring young children's thinking. While there are a few studies which report the use of this pedagogic strategy by preservice teachers, more are needed. This paper describes an early childhood mathematics education assignment which preservice teachers in a teacher-education college in Ireland undertake with four- and five-year-old children. It presents an analysis of data from a selected sample of 58 preservice teachers' reflections on their dialogues with individual children. It describes how the preservice teachers engaged with the process of interviewing the children; how they reflected on their interactions with the children; their reflections on the children's engagement; and their reflections on young children's mathematics generally. Some dilemmas faced by the participants in the course of the interviewing are highlighted. Findings demonstrate the integrated nature of the knowledge that early childhood teachers need to teach early childhood mathematics effectively. The learning arising from this assignment relates to early childhood mathematics thinking, to the psycho-social nature of learning in early childhood and to pedagogy in early childhood education. 相似文献
13.
This article considers various approaches to consulting primary pupils about mathematics. This is done first through a literature review and second by drawing on our experience of designing and piloting pupil consultation in collaboration with staff in one primary school. Our concern is with the utility and drawbacks of the methods used rather than with substantive issues. We conclude that useful information can be gained from both the planning process and outcomes, but caution must be exercised in interpreting pupil responses. Social processes are involved and the possibility of social desirability effects must be acknowledged. Finally, we indicate the usefulness of using different approaches together. 相似文献
14.
给出了关于Lebegues空间上Hardy—Littlewood—Polya定理的两种基本形式和它的几个应用例子。 相似文献
15.
分析、评述了关于中国文论话语失语症产生原因的三种基本意见,认为尽管这三种意见各有千秋,但也存在着明显的可商榷之处.为了对失语症的产生原因获得更真切更本质的认识,摆脱失语症,就应该在思维观念上进行一次彻底性的大转变,即引入系统思维,从而打破世界文论话语体系的既有结构,使中国文论话语重新确立自己的言说方式,参与到世界文论话语系统中来. 相似文献
16.
《The Journal of educational research》2012,105(3):132-144
Abstract In this exploratory phenomenological study, part of a larger mixed-design research project, the authors examined teacher and student roles in, and reactions to, a student-centered instructional geometry program using the Geometer's Sketchpad. Grade 7 students worked for 2 weeks in their regularly scheduled mathematics class on activities that allowed them to explain on-screen relationships among geometric shapes. A companion computer-based instructional tutorial was available as an accessible resource. The class sessions and specific dyads were observed, students surveyed, and teacher and selected students interviewed. Findings centered on 2 overarching themes: issues of power and learning. The teacher had difficulty relinquishing control of the learning environment even though she had agreed to do so. Students, however, liked their new freedom, worked hard, and expressed greater interest in the subject material. 相似文献
17.
王恪松 《开封教育学院学报》2002,22(4):23-25
自1840年英国侵略者发动了侵华的雅片战争,古老的中国社会性质发生了重大变化,进入了近代。随着沿海的上海、广州等地在坚船利炮下的开放,新的绘画市场的形成,中国山水画风格亦随之发生了变异,这种变化以海派山水、岭南山水、太平天国壁画山水尤为典型。 相似文献
18.
《Africa Education Review》2013,10(2):280-293
ABSTRACTThe objective of the current study was to analyse the impact of teachers’ personal theory and beliefs (PTB) towards Mathematics teaching. A total of 183 respondents were involved in this study, using the stratified random sampling method with Cronbach's alpha of 0.87. Due to the objective of the research and the hypothesis, it was positioned within the positivist paradigm following a survey design, concentrating on Bachelor of Education and Postgraduate Certificate Education students, with a quantitative approach. The instrument of data collection was a structured questionnaire schedule. All selected respondents (using a questionnaire) were students of University of Fort Hare, enrolled in either the Bachelor of Education (BEd) or Postgraduate Certificate of Education (PGCE) programme. Using analysis of variance (ANOVA), the results revealed that there was no significant effect of age and race on learning of Mathematics amongst BEds and PGCEs candidates. 相似文献
19.
为研究不同年龄段驾驶员的疲劳累积情况,对比其疲劳驾驶的差异性,获取最优驾驶时间,文章通过eegoTMmylab全移动脑电记录分析系统采集脑电数据,结合主观调查法对被试者疲劳状态进行调查。采用ASA软件对原始数据进行数据预处理,并通过积分法获得不同时段的α波、β波、θ波的平均功率谱密度,计算出脑电指标Rα/β,Rθ/β及R((α+θ)/β),通过SPSS对处理后数据进行分析;以R((α+θ)/β)作为驾驶疲劳指标,分别求出不同年龄段驾驶员的R((α+θ)/β),并将其与驾驶时间进行拟合,分析不同年龄段驾驶员与驾驶疲劳累积速度之间的关系。结果表明:在2 h内青年及中年驾驶员疲劳累积速度较慢,老年驾驶员疲劳累积速度较快,青年、中年、老年驾驶员最优驾驶时间分别为105~120 min, 105~120 min及75~90 min。 相似文献
20.
科研论文题目和摘要英译中的几个问题 总被引:2,自引:0,他引:2
沐卫萍 《扬州职业大学学报》2003,7(1):23-25
总结了科研论题目的惯用表达,说明英题目的具体写法和译法,重点论述了科研论要的英译应注意的几个问题。 相似文献