共查询到20条相似文献，搜索用时 31 毫秒
1.
This study investigates the nature and role of common ground in group learning of mathematics by means of the analytical constructs of focal projects and contextualization. The analysis investigates two students (12–13 years old) playing a dice game, where their task is to distribute a set of markers based on the total of two dice. The analysis shows how consistency between the students' focal projects became crucial in their progression from a uniform to a non-uniform distribution of the markers used in the game. The task system and concrete manipulatives became important in furthering the students' explorations. In the frame of a frequency context, we also discuss how a contextualization may restrict certain aspects of probability from coming into play during such explorations. 相似文献
2.
Sandra Hanson McPherson 《Teaching Statistics》2015,37(1):18-22
In this paper, the dice game Unders and Overs is described and presented as an active learning exercise to introduce basic probability concepts. The implementation of the exercise is outlined and the resulting presentation of various probability concepts are described. 相似文献
3.
Per Nilsson 《Educational Studies in Mathematics》2007,66(3):293-315
The purpose of this study is to investigate the ways in which Swedish seventh grade students (12 and 13 years old) handle
chance encounters. Four groups of students working in pairs participated in the study. In the group discussions, which were
tape-recorded and fully transcribed, the students were encouraged to explore strategies for winning a specifically designed
dice game based on the sum of two dice. The dice game included four different set-ups of dice designed to bring to the fore
different aspects of probability modelling and to offer the student the opportunity to encounter small differences in the
mathematical structure of the sample space and of the probability distribution between the four different set-ups. The study
describes strategies that the students use when confronted with these different set-ups, what their activities imply in terms
of resources in handling random phenomena and what the dice game offers in terms of opportunities for learning probability.
In order to explain such meaning-making processes the students’ activities are viewed from a perspective that takes into consideration
how the students’ understanding varies with their interpretations of the situation they are confronted with, i.e., how they
contextualize the different set-ups of the dice game. The results show how the students, during the course of the game, reorganize
their interpretations of the mathematical content confronting them, and how a variation of guiding principles becomes the
object of exploration. Approaches of extremes and a number model are described as a means for the students to identify and
assign probabilities for the total of two dice. 相似文献
4.
Roger W. Johnson 《Teaching Statistics》2019,41(3):106-109
The Borel board game consists of a series of experiments involving dice rolls, coin flips, or drawing colored balls from bags. Before each experiment is conducted, each player bets for or bets against a statement regarding the random outcome. We suggest that the collection of Borel experiments be used as a resource to illustrate probability calculation. 相似文献
5.
Peter K. Dunn 《Teaching Statistics》2005,27(2):37-41
Rolling dice and tossing coins can still be used to teach probability even if students know (or think they know) what happens in these experiments. This article considers many simple variations of these experiments which are interesting, potentially enjoyable and challenging. Using these variations can cause students (and teachers) to think again about the statistical issues involved – and learn in the process. 相似文献
6.
Learning the fundamentals of probability and random variables can be a struggle for many students. Games by their nature require active participation and reward mastery, lending naturally to the framework of active learning. In this study, we designed and evaluated the efficacy of a lab activity using a game where strategy hinges on sums of dice to teach about linear combinations of independent random variables. We found that both activities lead to improved understandings of course concepts, but the dice game provided increased student engagement and interest. 相似文献
7.
We analyse the “two‐dice horse race” task often used in lower secondary school, in which two ordinary dice are thrown repeatedly and each time the sum of the scores determines which horse (numbered 1 to 12) moves forwards one space. 相似文献
8.
梯摩西与乌尔本是两个常用的外国男性名字，就和中国的张三、李四差不多．话说梯、鸟两人用两颗骰子做游戏，可是他们别开生面，不用骰子上的数目字．在骰子表面上，有些涂上了红色，有些涂上了蓝色． 相似文献
9.
Joerg Meyer 《Teaching Statistics》2019,41(1):14-17
A formula is derived for a ‘two‐dice horse race’, in which two ordinary dice are thrown repeatedly and each time the sum of the scores determines which horse (numbered 2 to 12) moves forward one space. This paper answers a question posed in a former Teaching Statistics article, and demonstrates the value of simulation. 相似文献
10.
利用掷骰子的方法模拟了不同类型的测量误差,且通过实例,对均匀分布、三角分布、正态分布的随机误差进行模拟,对其数字特征与对应不确定度进行印证,并提出了用掷骰子的方法产生给定数学期望与方差的正态随机数的模拟法。 相似文献
11.
Jane M. Watson Ben A. Kelly 《International Journal of Science and Mathematics Education》2009,7(1):25-54
Data from 154 interviews with students in grades 3 to 13 were analyzed to suggest a developmental progression of conceptual
understanding associated with the sample space for two ordinary six-sided dice tossed simultaneously. The model was then considered
in the light of responses to an extension task involving three six-sided dice with four sides painted black and two white.
Forty-five of the interviews were longitudinal interviews of students 3 or 4 years after the original interviews, allowing
for analysis of change in levels of understanding across time. This study suggests some of the intuitions and understandings
that form the intermediate steps to a complete understanding of outcomes for two dice, as well as documenting the conceptual
regression likely to occur when a more difficult task is encountered. Links to previous research, including well-known misconceptions,
and educational implications of the model are among the discussion points. 相似文献
12.
A brief account of developments in the experimental and theoretical investigations of Brownian motion is presented. Interestingly,
Einstein who did not like God’s game of playing dice for electrons in an atom himself put forward a theory of Brownian movement
allowing God to play the dice. The vital role played by his random walk model in the evolution of non-equilibrium statistical
mechanics and multitude of its applications is highlighted. Also included are the basics of Langevin’s theory for Brownian
motion.
Shama Sharma is currently working as lecturer at DAV College, Punjab. She is working on some problems in nonequilibrium statistical
mechanics.
Vishwamittar is professor in physics at Panjab University, Chandigarh and his present research activities are in nonequilibrium
statistical mechanics. He has written articles on teaching of physics, history and philosophy of physics. 相似文献
13.
魏首柳 《南阳师范学院学报》2011,10(3):18-20
概率论与数理统计的教学中,在计算古典概率时,排列组合与生成函数等是常用的重要工具.通过若干实例,给出了古典概率中的＂骰子＂问题的基本事件数的不同计算方法,从而得到关于＂骰子＂问题的较为全面的古典概率的计算方法. 相似文献
14.
余璧芬 《韩山师范学院学报》2000,21(2):19-21,26
文章研究并论证了掷任意骰子出现的点数组合数具有对称性，归纳论证了计算组合数的递推公式，以及计算出现机会最多的和数S的计算公式。 相似文献
15.
《Cultura y Educación》2013,25(1):129-139
ResumenLa diversidad de idiomas y culturas es una realidad en nuestro sistema educativo y exige respuestas flexibles que contribuyan a la consolidación de la escuela inclusiva. La Comunidad de Madrid, al igual que otras comunidades autónomas, ha optado por implantar las denominadas Aulas de Enlace, dentro del programa Escuelas de Bienvenida, para que los alumnos extranjeros que llegan a nuestras escuelas aprendan español y se incorporen lo antes posible al nivel curricular que por edad les corresponde. Sin embargo, parece oportuno analizar si estas aulas constituyen herramientas que verdaderamente apoyen y faciliten la integración escolar de estos alumnos. En este trabajo analizamos lo que dice la normativa y lo que dice el profesorado sobre la organización de las Aulas de Enlace, concluyendo que no parece que la opción aislacionista adoptada, que sitúa al alumnado inmigrante en aulas especiales, sea la más adecuada para avanzar hacia una escuela inclusiva intercultural. 相似文献
16.
Kim May 《Teaching Statistics》2010,32(3):91-91
The sampling (probability) distribution for the sum of dice is presented graphically as a compelling demonstration of the Central Limit Theorem. 相似文献
17.
M.N. Deshpande 《Teaching Statistics》2000,22(3):80-80
Intransitive dice were discussed in a previous article, following a competition in the journal. A further interesting result is presented here. 相似文献
18.
Ann-Lee Wang 《Teaching Statistics》1993,15(1):6-7
Luk Kow is a Chinese game played with three dice. Students may find it interesting to simulate the game and to study its properties. 相似文献
19.
Ann-Lee Wang 《Teaching Statistics》1989,11(1):2-3
In this article Ann-Lee Wang describes a gambling game that many Malaysians engage in. often illegally. The game is called “Tai Sai” which literally means “Big Small” in Chinese. There are two versions of the game, both of which provide interesting problems for teachers of introductory courses in probability. Both versions use three dice. 相似文献
20.
Jeffrey Dodgson 《Teaching Statistics》1992,14(2):14-17
This article describes two simple ways to illustrate the important concept in statistical process control known as “hunting”. The two simulations use dice and Minitab respectively. 相似文献