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1.
Undergraduate students tend to struggle with probability in their introductory statistics course. Probability problem solving requires several steps. First, students must make sense of the probability scenario, then determine the appropriate probability rules, and finally, execute the procedures to solve the problem. With no previous exposure to probability, this presents too great a cognitive load for many students. Using worked‐out problems then transitioning to partially worked‐out problems in an introductory statistics course at a large university helped students succeed at solving probability problems. The worked‐out problems included writing prompts to encourage self‐explanation of students' thinking through studying the worked‐out examples. This paper explains the use of these instructional principles and their implementation in an introductory statistics course for non‐STEM majors, resulting in higher student achievement and understanding.  相似文献   

2.
Understanding the roles of random selection and random assignment in experimental design is a central learning objective in most introductory statistics courses. This article describes an activity, appropriate for a high school or introductory statistics course, designed to teach the concepts, values and pitfalls of random selection and assignment using the not‐easily‐forgotten Madagascar hissing cockroach. Evidence is summarized demonstrating conceptual gains for students performing the Randomizing Roaches activity, and follow‐up activities are suggested.  相似文献   

3.
Introductory business statistics students often receive little guidance on how to apply the methods they learn to further business objectives they may one day face. And those students may fail to see the continuity among the topics taught in an introductory course if they learn those methods outside a context that provides a unifying framework. The DCOVA problem‐solving framework that presents discrete steps to define, collect, organize, visualize, and analyze data addresses these concerns while helping to enhance the perceived value of taking statistics courses.  相似文献   

4.
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5.
Few introductory statistics courses consider statistical inference for the median. This article argues in favour of adding a confidence interval for the median to the first statistics course. Several methods suitable for introductory statistics students are identified and briefly reviewed.  相似文献   

6.
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7.
Concept maps are tools for organizing thoughts on the main ideas in a course. I present an example of a concept map that was created through the work of students in an introductory class and discuss major topics in statistics and relationships among them.  相似文献   

8.
Statistical knowledge is required for students in a range of disciplines. However, there are limited educator resources that exist for applying statistics to solve real-world problems. This investigation provides one approach to teaching statistics using entrepreneurial-minded learning (as a way to connect real-world applications and value creation with problem-solving and curiosity) in the context of solar energy. Both the ready-to-use teaching intervention and assessment of student learning details are provided for an undergraduate course on Introductory Statistics. The teaching intervention includes a series of seven lesson plans (and three extension projects) that educators can use in an introductory statistics course.  相似文献   

9.
This article advocates that introductory statistics be taught by basing all calculations on a single simple margin‐of‐error formula and deriving all of the standard introductory statistical concepts (confidence intervals, significance tests, comparisons of means and proportions, etc) from that one formula. It is argued that this approach will better emphasize the core concepts and commonality of statistics and range of statistical applications, without forcing the students to memorize lots of different equations.  相似文献   

10.
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11.
There is an increasing need for students in the biological sciences to build a strong foundation in quantitative approaches to data analyses. Although most science, engineering, and math field majors are required to take at least one statistics course, statistical analysis is poorly integrated into undergraduate biology course work, particularly at the lower-division level. Elements of statistics were incorporated into an introductory biology course, including a review of statistics concepts and opportunity for students to perform statistical analysis in a biological context. Learning gains were measured with an 11-item statistics learning survey instrument developed for the course. Students showed a statistically significant 25% (p < 0.005) increase in statistics knowledge after completing introductory biology. Students improved their scores on the survey after completing introductory biology, even if they had previously completed an introductory statistics course (9%, improvement p < 0.005). Students retested 1 yr after completing introductory biology showed no loss of their statistics knowledge as measured by this instrument, suggesting that the use of statistics in biology course work may aid long-term retention of statistics knowledge. No statistically significant differences in learning were detected between male and female students in the study.  相似文献   

12.
This article describes a model for an interactive, introductory secondary‐ or tertiary‐level statistics course that is designed to develop students' statistical reasoning. This model is called a ‘Statistical Reasoning Learning Environment’ and is built on the constructivist theory of learning.  相似文献   

13.
The rapid growth of analytics is bringing more attention to quantitative core curriculum requirements in undergraduate business programs. Statistical knowledge and skills are unequivocally recognized as essential cornerstone of business analytics. Furthermore, educational research has shown that academic performance in statistics classes is related to the attitudes that students bring to the course. This article assesses the reliability and validity of the Survey of Attitudes toward Statistics (SATS) in measuring noncognitive dimensions of attitudes among undergraduate business students. Sample data from U.S. and Chinese introductory business statistics classes were collected and analyzed to learn more about this aspect of student engagement across business schools located in countries with substantially different levels of success in international mathematics achievement testing, as well as differing cultural and educational practices. Results show that the six‐factor model structure of the SATS provides a good fit in both populations, with students entering business statistics holding only slightly positive attitudes toward the subject. Significant distinctions between four of the six attitude components were identified. Implications of measuring and improving these attitudes are discussed. Business statistics instructors are encouraged to use the survey as a standardized instrument to measure effects of interventions and make evidence‐based pedagogical decisions.  相似文献   

14.
Abstract

As an interdisciplinary team, we set out to create an applied statistics course that would cover the traditional introductory statistics topics in a consistent framework of social justice. The goal was to motivate students to understand and learn math while deepening their understanding of the interplay, at local and global levels, between social and economic issues: for example, crime, victimization, political access, wealth, education, health, gender, and race. This paper describes the process of creating the course, the pedagogical decisions, the intentionality in topic presentation, samples of classwork, and student impressions of the semester-long course.  相似文献   

15.
The use of the Internet as a teaching tool continues to grow in popularity at colleges and universities. We consider, from the students’ perspective, the use of an Internet approach compared to a lecture and lab‐based approach for teaching an introductory course in statistical methods. We conducted a survey of introductory statistics students. Contradictory to what was hypothesized by the authors, they favoured keeping the lecture and lab‐based approach for teaching the class.  相似文献   

16.
The teaching of probability theory has been steadily declining in introductory statistics courses as students have difficulty with handling the rules of probability. In this article, we give a data‐driven approach, based on two‐way tables, which helps students to become familiar with using the usual rules but without the formal structure.  相似文献   

17.
This evaluation examines the impact on student success rates related to changes in instructional programmes in undergraduate mathematics and statistics courses. Success for students taking courses with a computer-based homework component was compared with success of students who took the course in prior semesters without the computer-based component. Graphical and analytical tools are used to compare results. Results come from multiple semesters of each type of homework application, for both pre-calculus algebra and business statistics courses. Students whose performance is utilised in this study are undergraduate students taking introductory level college mathematics or business statistics courses, with mostly no prior instruction at this level. Comparing the success of the intervention group with the success of the baseline control group, findings support that the students using the computer-based homework instruction are just as successful as those using the traditional method of homework instruction. Utilising the online homework applications, provide several important advantages in today’s universities, including the reduced time for faculty grading, consistency of graded assignments across all sections of a course and most importantly, immediate feedback for students.  相似文献   

18.
Carl Toews 《PRIMUS》2017,27(7):707-724
Abstract

Inquiry-based pedagogies have a strong presence in proof-based undergraduate mathematics courses, but can be difficult to implement in courses that are large, procedural, or highly computational. An introductory course in statistics would thus seem an unlikely candidate for an inquiry-based approach, as these courses typically steer well clear of proof, have a list of required topics, and depend critically on computational software. On the other hand, the American Statistical Association (ASA) has long advocated the sort of active and exploratory class design that in many respects parallels traditional inquiry-based learning (IBL). This paper reports on the author’s recent attempt to implement an inquiry-based course in introductory statistics that fuses established IBL techniques with the specific pedagogical recommendations of the ASA. A signature feature of this course is that many of the inquiry-based activities are explicitly tied to computer work in the open source language R.  相似文献   

19.
This article presents activities appropriate for the first half of a general introductory statistics course. All activities revolve around the same data set collected early in the course. The activities require students to make decisions about how they should proceed.  相似文献   

20.
笔者基于教学实践,分析独立学院在数学公共课课程教学中存在的问题,并从独立学院学生的学习特点和目前概率统计课程教学现状入手,探讨独立学院概率统计课程教学内容、方法等方面的教学改革,以期为做好独立学院概率统计课程教学方法改革实践提供一些借鉴。  相似文献   

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