Exploring Students' Conceptions of the Standard Deviation
Citations
3,787 citations
Cites background from "Exploring Students' Conceptions of ..."
...…are experiencing difficulties with introductory statistics, and emerge with a lack of understanding of core concepts, such as statistical variation (delMas & Liu, 2005), chance (Garfield, 2003), graphical representations of distributions (Bakker & Gravemeijer, 2004), sampling variation (Reading &…...
[...]
418 citations
251 citations
190 citations
Cites background or methods or result from "Exploring Students' Conceptions of ..."
...Third, with regard to the data gathering methodology, interviews (e.g., delMas & Liu, 2005), and mixture of multiple-choice and open-answer items can be found (e.g., Vallecillos, 1995, 1996, 2000, 2002)....
[...]
...Our search criteria identified five publications documenting empirical evidence about misconceptions regarding the idea behind the law of large numbers, more specifically: Well et al. (1990), Finch (1998), Sedlmeier (1998), Chance et al. (2004; see next section), and delMas and Liu (2005)....
[...]
...…(2004) More than 100 Variety None assumed 3 similar settings: activity with PC + assessment Software: simulation assessment: posttest and final exam delMas and Liu (2005) 12 – Pre-university 1 group: interview Interview while interaction with computer program Falk and Greenbaum (1995) 53…...
[...]
...Before being able to understand the concept and features of sampling distributions, students should be able to develop a good understanding of the idea of variability (delMas & Liu, 2005)....
[...]
...Another factor making it difficult to compare results of these studies is the differences in sample size, which range from very small (e.g., delMas & Liu, 2005; Vallecillos & Batanero, 1997) to large numbers of participants (e.g., Vallecillos, 1995, 1996, 2000)....
[...]
134 citations
Cites background or methods from "Exploring Students' Conceptions of ..."
...In a related study, delMas and Liu (2005) studied students’ development of reasoning about standard deviation....
[...]
...The types of tasks used by delMas and Liu (2005) about what makes the standard deviation larger or smaller can be used to promote this type of discussion....
[...]
...Students have shown inconsistencies in their reasoning about the most "elementary" concepts of measures of central tendency and spread (e.g., Chance, delMas, and Garfield, 2004; delMas and Liu, 2005; Groth and Bergner, 2006; Noss, Pozzi, and Hoyles, 1999)....
[...]
...Researchers have found that use of specific technology tools can help illuminate difficulties in understanding particular concepts such as sampling distributions (Chance, delMas and Garfield, 2004) and standard deviation (delMas and Liu, 2005)....
[...]
References
230 citations
134 citations
130 citations
"Exploring Students' Conceptions of ..." refers background in this paper
...Very little research has been conducted on students’ understanding of variability (Reading & Shaughnessy, 2004; Shaughnessy, 1997), despite the central role the concept plays in statistics (Hoerl & Snee, 2001; Moore 1990; Snee, 1990) and an apparent conceptual gap in students’ understanding of...
[...]
129 citations
"Exploring Students' Conceptions of ..." refers background in this paper
...An understanding of statistical variation and of measures of variation is also needed to understand conceptually complex concepts such as sampling distributions, inference, and p-values (Chance, delMas, & Garfield, 2004; delMas, Garfield, & Chance, 1999; Saldahna & Thompson, 2002; Thompson, Saldahna, & Liu, 2004)....
[...]
129 citations
"Exploring Students' Conceptions of ..." refers background in this paper
...Shaughnessy, 2004; Shaughnessy, 1997), despite the central role the concept plays in statistics ( Hoerl & Snee, 2001; Moore 1990; Snee, 1990) and an apparent conceptual gap in students’ understanding of...
[...]
...Very little research has been conducted on students’ understanding of variability (Reading & Shaughnessy, 2004; Shaughnessy, 1997), despite the central role the concept plays in statistics (Hoerl & Snee, 2001; Moore 1990; Snee, 1990) and an apparent conceptual gap in students’ understanding of...
[...]