scholarly journals A MEASURE OF BASIC MATH SKILLS FOR USE WITH UNDERGRADUATE STATISTICS STUDENTS: THE MACS

2018 ◽  
Vol 17 (2) ◽  
pp. 179-195
Author(s):  
LAURA RABIN ◽  
LAUREN FINK ◽  
ANJALI KRISHNAN ◽  
JOSHUA FOGEL ◽  
LORIN BERMAN ◽  
...  

Mathematical competency is related to performance in introductory statistics courses and may be a roadblock to successful course completion. We developed a new measure (Math Assessment for College Students, MACS) of basic mathematics skills that improves upon measures previously used in undergraduate settings. The MACS is freely available and contains items not typically included on standardized measures of mathematical ability. We administered the 44-item MACS to 414 undergraduate psychology statistics students, and used a multiple correspondence analysis to eliminate 14 items, resulting in a 30-item measure with strong psychometric properties. MACS scores showed statistically significant moderate correlations with a commonly used standardized measure of basic mathematics skills and with overall statistics course grade. We discuss the utility of the MACS and how the MACS may help course instructors identify areas of mathematical deficiency that require remediation. First published November 2018 at Statistics Education Research Journal Archives

2021 ◽  
Vol 20 (1) ◽  
pp. 3
Author(s):  
LAURA A. RABIN ◽  
ANJALI KRISHNAN ◽  
ROSE BERGDOLL ◽  
JOSHUA FOGEL

This study investigated whether basic mathematics skills are associated with undergraduate psychology statistics course performance while simultaneously considering self-reported psychological/behavioral and demographic variables. Participants (n = 460) completed a Math Assessment for College Students (MACS), which included questions ranging from calculating percentages to graphical interpretation. The researchers used a discriminant correspondence analysis to reveal differences in course performance evaluated as the average of three exam grades. For the variation in the average exam scores accounted for by our model, the MACS scores provided the largest contribution. Other variables associated with better exam grades included white ethnicity, non-transfer status, lower year in school, and low procrastination. The researchers discuss the implications for helping instructors identify areas of basic mathematical deficiency and strength.


2014 ◽  
Vol 13 (1) ◽  
pp. 53-65 ◽  
Author(s):  
ROBYN REABURN

This study aimed to gain knowledge of students’ beliefs and difficulties in understanding p-values, and to use this knowledge to develop improved teaching programs. This study took place over four consecutive teaching semesters of a one-semester tertiary statistics unit. The study was cyclical, in that the results of each semester were used to inform the instructional design for the following semester. Over the semesters, the following instructional techniques were introduced: computer simulation, the introduction of hypothetical probabilistic reasoning using a familiar context, and the use of alternative representations. The students were also encouraged to write about their work. As the interventions progressed, a higher proportion of students successfully defined and used p-values in Null Hypothesis Testing procedures. First published May 2014 at Statistics Education Research Journal Archives


2020 ◽  
Vol 19 (1) ◽  
pp. 167-180
Author(s):  
JOSÉ LUIS ÁNGEL RODRÍGUEZ SILVA ◽  
MARIO SÁNCHEZ AGUILAR

One of the aims of this work is to highlight the need for connecting the practice and theoretical studies of industrial engineers. One reason for this need is the fact that students tend to graduate without proper preparation for practice, spreading thus a bad reputation of statistics and its potential, and even affecting students’ dispositions and motivation towards the study and applications of statistics. This paper presents the results of a study conducted at two higher-education institutions in Mexico. The industrial engineering students who participated were introduced to a multivariate statistics course, one in a traditional way and the other through a problem-solving approach embedded within an industrial environment. The didactic intervention in both groups and the problems used to evaluate them are described. The results show that the experimental students had a significant increase in their qualifications and alower variance in their performance. From our study we can suggest that a university education in close connection with applications in an industrial environment significantly improves the students’ education. This teaching experiment provides students with opportunities to experience the genuine character of statistics as an applied field, giving meaning to the statistical techniques learnt in the classroom. It is one way to make the education in statistics more apt to the demand from outside and by the same time it enables the students to really understand statistics. First published February 2020 at Statistics Education Research Journal Archives


2017 ◽  
Vol 16 (2) ◽  
pp. 487-510
Author(s):  
WARREN PAUL

We used the Survey of Attitudes Toward Statistics to (1) evaluate using pre-semester data the Students’ Attitudes Toward Statistics Model (SATS-M), and (2) test the effect on attitudes of an introductory statistics course redesigned according to the Guidelines for Assessment and Instruction in Statistics Education (GAISE) by examining the change in attitudes over the semester and, using supplementary data from an annual Student Feedback Survey, testing for a change in overall satisfaction following implementation of the redesigned course. We took an exploratory rather than confirmatory approach in both parts of this study using Bayesian networks and structural equation modelling. These results were triangulated with analysis of focus group discussions and the annual Student Feedback Survey. First published November 2017 at Statistics Education Research Journal Archives


2015 ◽  
Vol 14 (1) ◽  
pp. 36-59
Author(s):  
AUÐBJÖRG BJÖRNSDÓTTIR ◽  
JOAN GARFIELD ◽  
MICHELLE EVERSON

This study explored the use of two different types of collaborative tests in an online introductory statistics course. A study was designed and carried out to investigate three research questions: (1) What is the difference in students’ learning between using consensus and non-consensus collaborative tests in the online environment?, (2) What is the effect of using consensus and non-consensus collaborative tests on students’ attitudes towards statistics?, and (3) How does using a required consensus vs. a non-consensus approach on collaborative tests affect group discussions? Qualitative and quantitative methods were used for data analysis. While no significant difference was found between groups using the two collaborative testing formats, there was a noticeable increase in students’ attitudes across both formats towards learning statistics. This supports prior research on the benefits of using collaborative tests in face-to-face courses. First published May 2015 at Statistics Education Research Journal Archives


2017 ◽  
Vol 16 (2) ◽  
pp. 419-440
Author(s):  
MATTHEW D. BECKMAN ◽  
ROBERT C. DELMAS ◽  
JOAN GARFIELD

Cognitive transfer is the ability to apply learned skills and knowledge to new applications and contexts. This investigation evaluates cognitive transfer outcomes for a tertiary-level introductory statistics course using the CATALST curriculum, which exclusively used simulation-based methods to develop foundations of statistical inference. A common assessment instrument administered at the end of each course measured learning outcomes for students. CATALST students showed evidence of both near and far transfer outcomes while scoring as high, or higher than, on the assessed learning objectives when compared with peers enrolled in similar courses that emphasized parametric inferential methods (e.g., the t-test). First published November 2017 at Statistics Education Research Journal Archives


2012 ◽  
Vol 11 (1) ◽  
pp. 21-40 ◽  
Author(s):  
NATHAN TINTLE ◽  
KYLIE TOPLIFF ◽  
JILL VANDERSTOEP ◽  
VICKI-LYNN HOLMES ◽  
TODD SWANSON

Previous research suggests that a randomization-based introductory statistics course may improve student learning compared to the consensus curriculum. However, it is unclear whether these gains are retained by students post-course. We compared the conceptual understanding of a cohort of students who took a randomization-based curriculum (n = 76) to a cohort of students who used the consensus curriculum (n = 79). Overall, students taking the randomization-based curriculum showed higher conceptual retention in areas emphasized in the curriculum, with no significant decrease in conceptual retention in other areas. This study provides additional support for the use of randomization-methods in teaching introductory statistics courses. First published May 2012 at Statistics Education Research Journal: Archives


2019 ◽  
Vol 18 (1) ◽  
pp. 26-45
Author(s):  
KELLY FINDLEY ◽  
ALEXANDER LYFORD

Researchers have documented many misconceptions students hold about sampling variability. This study takes a different approach—instead of identifying shortcomings, we consider the productive reasoning pieces students construct as they reason about sampling distributions. We interviewed eight undergraduate students newly enrolled in an introductory statistics course. Taking a grounded theory style approach, we identified 10 resources that students used when reasoning about the sampling distribution for the average within two contexts: penny years and dice rolls. Students had varied success in their responses as they made choices about how to represent their resources in their constructions. Successful constructions exemplified careful blending of resources, while less  successful constructions reflected disjoint perceptions and tensions between seemingly conflicting resources. Our findings stress the importance of framing students as capable reasoning agents by describing student resources that were used while solving tasks related to sampling distributions. We also discuss the influence of context and problem setting in students’ reasoning and resource elicitation. First published May 2019 at Statistics Education Research Journal Archives


2021 ◽  
Vol 19 (3) ◽  
Author(s):  
REBECCA AWUAH ◽  
KRISTEL M. GALLAGHER ◽  
LISA C. DIERKER

To evaluate the impact of a multidisciplinary, project-based course in introductory statistics, this exploratory study examined learning experiences, feelings of confidence, and interest in future experiences with data for undergraduate students in Ghana, West Africa. Students completed a one-semester, introductory statistics course utilizing the Passion-driven Statistics curriculum. Results showed more than half of the students put more effort into the course and found the material more challenging compared to other courses, while nearly three-quarters reported interest in one or more follow-up courses. Importantly, students also reported increased confidence in a variety of applied statistical skills. These findings demonstrate the positive impact of a multidisciplinary, project-based curriculum on undergraduate students in Ghana, West Africa and demonstrate the potential for its global portability. First published December 2020 at Statistics Education Research Journal: Archives


2018 ◽  
Vol 17 (2) ◽  
pp. 161-178
Author(s):  
LAURA ZIEGLER ◽  
JOAN GARFIELD

The purpose of this study was to develop the Basic Literacy In Statistics (BLIS) assessment for students in an introductory statistics course, at the postsecondary level, that includes, to some extent, simulation-based methods. The definition of statistical literacy used in the development of the assessment was the ability to read, understand, and communicate statistical information. Multiple instruments were available to assess students in introductory statistics courses; however, there were no assessments available that focused on statistical literacy. Evidence of reliability and validity were collected during the development of the assessment. Evidence of reliability and validity was high; however, more items with high difficulty levels could increase the precision in estimating ability estimates for higher achieving students. First published November 2018 at Statistics Education Research Journal Archives


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