Literature Index

Displaying 1441 - 1450 of 3326
  • Author(s):
    Harraway, John A
    Year:
    2012
    Abstract:
    Website and software products that have the potential to raise the profile of statistics in society are described. The website has links to case study videos describing contexts, study designs, data files and lessons using the new software for data exploration and analysis. Case study videos dealing with current research applying statistics have been selected to motivate discussion in class, and further “hands on” learning can be achieved through use of the software. During the development phase in New Zealand in 2010 the software was trialed and student and teacher experiences are reported. A full day professional development workshop for teachers involving lessons using the software was recorded and these are on the website to assist teachers and students. The software is free for teachers and students at education institutes, and the procedure for obtaining a license is outlined.
  • Author(s):
    Cassidy, S., & Eachus, P.
    Year:
    2000
    Abstract:
    Both learning style and academic belief systems have been identified as significant factors contributing to academic achievement. This paper evaluates the efficacy of teaching and learning in higher education by investigating the relationship between students assessment of their own academic proficiency (in this case Research Methods Proficiency [RMP]), learning style, academic locus of control, academic self-efficacy and academic achievement. First and second year undergraduate students' RMP was measured before and after completing modules in Research Methods. Students also completed measures of approaches to learning, academic self-efficacy and academic locus of control. Academic achievement (module mark) was also recorded. Results showed that perceived proficiency increased after completing the taught modules and that perceived proficiency was positively correlated with academic performance. Level 1 students, taught under the recently modified programme, reported significantly higher perceived proficiency than Level 2 students taught under the previous programme. Perceived proficiency was positively correlated with a strategic learning approach and negatively correlated with a surface learning approach and external locus of control beliefs. Academic achievement was also positively correlated with a strategic learning approach and negatively correlated with an apathetic learning approach. A deep learning approach failed to be associated with either RMP or academic achievement. It is suggested that: (i) these findings confirm, to some degree, the suggestion that there is an emphasis in later education on performance rather than learning (Lyddy, 1998); and (ii) perceived proficiency is a useful evaluation measure and is likely to contribute to effective and productive teaching and learning within higher education.
  • Author(s):
    Bakker, A. & Gravemeijer, K. P. E
    Editors:
    Ben-Zvi, D. & Garfield, J.
    Year:
    2004
    Abstract:
    The purpose of this chapter is to explore how informal reasoning about distribution can be developed in a technological learning environment. The development of reasoning about distribution in seventh-grade classes is described in three stages as students' reason about different representations. It is shown how specially designed software tools, students' created graphs, and prediction tasks supported the learning of different aspects of distribution. In this process, several students came to reason about the shape of a distribution using the term bump along with statistical notions such as outliers and sample size.<br>This type of research, referred to as "design research," was inspired by that of Cobb, Gravemeijer, McClain, and colleagues (see Chapter 16). After exploratory interviews and a small field test, we conducted teaching experiments of 12 to 15 lessons in 4 seventh-grade classes in the Netherlands. The design research cycles consisted of three main phases: design of instructional materials, classroom-based teaching experiments, and retrospective analyses. For the retrospective analysis of the data, we used a constant comparative method similar to the methods of Glaser and Strauss (Strauss &amp; Corbin, 1998) and Cobb and Whitenack (1996) to continually generate and test conjectures about students' learning processes.
  • Author(s):
    Gil, E., & Ben-Zvi, D.
    Editors:
    A. Bakker
    Year:
    2011
    Abstract:
    This longitudinal study follows the development of students’ reasoning about sample and sampling from 6th to 9th grade (age 12 to 15). The students took part in the Connections project (Ben-Zvi, Gil & Apel, 2007), an inquiry-based learning environment using TinkerPlots (Konold & Miller, 2005) in grades 4–6. One of the main goals was to develop their reasoning about sample and sampling in the context of making informal statistical inferences. After three years in which these students hardly had any formal statistics teaching at all, a series of inquiry-based activities were designed and administered in the 9th grade to evaluate aspects of continuity and change in their reasoning about sample and sampling. The SRTL-7 paper will present preliminary results which are part of the first author's Ph.D. study. 
  • Author(s):
    Ben-Zvi, D.
    Editors:
    T. Campos
    Year:
    2011
  • Author(s):
    Ben-Zvi, D., Bakker, A., & Makar, K.
    Year:
    2015
    Abstract:
    The goal of this article is to introduce the topic of learning to reason from samples, which is the focus of this special issue of Educational Studies in Mathematics on statistical reasoning. Samples are data sets, taken from some wider universe (e.g., a population or a process) using a particular procedure (e.g., random sampling) in order to be able to make generalizations about this wider universe with a particular level of confidence. Sampling is henceakeyfactorinmakingreliablestatisticalinferences.Wefirstintroducethethemeandthe key questions this special issue addresses. Then, we provide a brief literature review on reasoning about samples and sampling. This review sets the grounds for the introduction of thefivearticlesandtheconcludingreflectivediscussion.Weclosebycommentingontheways to support the development of students’ statistical reasoning on samples and sampling.
  • Author(s):
    Whitin, D. J.
    Editors:
    Burrill, G. F.
    Year:
    2006
    Abstract:
    This article contains stories from several grades K-5 classrooms used to illustrate the importance of children assuming a critical orientation toward data displays. Some of these critical attitudes stem from students questioning the question, examining what the data do not say, analyzing the categories for the data, and identifying the background knowledge and experience of the sample population.
  • Author(s):
    Vithal, R.
    Editors:
    Phillips, B.
    Year:
    2002
    Abstract:
    Whatever the debates about the relation between mathematics and statistics as disciplines, the latter is typically offered within school mathematics curricula. This relatively new inclusion has enhanced the opportunity for learners to experience a greater relevance of mathematics curricula to their own lives, and hence also created the imperative to better understand how best to organise teaching and learning toward such goals. Not surprisingly, teacher education has had to take on such challenges and in so doing brought a focus also on what happens within the halls of tertiary institutions. The question this paper addresses is how best do we prepare teachers to connect mathematics and statistics education to learners' own realities. If project work, within a broad social, cultural political approach, is one means for forging such links then there is a need to analyse and better understand the kinds of teacher education pedagogies that may be engaged to build the necessary knowledge, skills, attitudes and values among teachers.
  • Author(s):
    Hiebert, J., Morris, A. K., Glass, B.
    Year:
    2003
    Abstract:
    This paper describes a model for generating andaccumulating knowledge for both teaching andteacher education. The model is applied firstto prepare prospective teachers to learn toteach mathematics when they enter theclassroom. The concept of treating lessons asexperiments is used to explicate theintentional, rigorous, and systematic processof learning to teach through studying one's ownpractice. The concept of planning teachingexperiences so that others can learn fromone's experience is used to put into practicethe notion of contributing to a sharedprofessional knowledge base for teachingmathematics. The same model is then applied tothe work of improving teacher preparationprograms in mathematics. Parallels are drawnbetween the concepts emphasized for prospectiveteachers and those that are employed byinstructors who study and improve teacherpreparation experiences. In this way, parallelsalso are seen in the processes used to generatean accumulating knowledge base for teaching andfor teacher education.
  • Author(s):
    Hardiman, P., Pollatsek, A., &amp; Well, A.
    Year:
    1986
    Abstract:
    Twenty-two university students who did not initially know the quantitative rule for predicting whether a configuration of weights placed on a balance beam would cause the mean to balance, tip left , or tip right were asked to induce the rule in a training procedure adapted form Siegler (1976). For each of a series of balance beam problems, subjects predicted the action of the beam and explained how they arrived at their prediction. Protocols revealed that although all subjects realized early on that both weight and distance were relevant to their predictions, they used a variety of heuristics prior to inducing the correct quantitative rule. There heuristic included instance-based reasoning, qualitative estimation of istance, and the use of quantitative rules of limited generality. The commohn use of instance-based reasoning suggests that learning to understand the balance beam cannot be described completely in terms of a simple rule acquisition theory. Also, the variability in the use of heuristics across subjects suggests that no simple theory that depicts subjects as linearly progressing through a hierarchy of levels can adquately describe the development of balance understanding.

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The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education

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