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Learning Math 1st Grade Math Mathlearndirect R New User Square Szh 1 Math Learn Direct Effects of Popular and Classical Background Cangurasul%20matematician%20regulament%20pentru%20foaia%20de%20concurs Music on the Math Test Scores of
Undergraduate Students
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This study utilized undergraduate students (n=72) from a required music appreciation
class in a small university located in the North Central region of the country. This group
of subjects was selected based on their availability and their academic and socioeconomic
diversity. The subjects were primarily traditional university age students (18-22) and
approximately equal in gender representation. Though some of the students may have had
previous musical backgrounds, none of the students serving as subjects were music majors.
The students were mostly from rural communities and represented a cross section of the
university community. There was some ethnic and social diversity, however, the class could
be described as homogeneous.
The independent variables were the background music conditions: classical, popular, and
none; and the five music listening styles as defined by Hedden (1971): associative,
cognitive, physical, involvement, and enjoyment. Hedden used all five music listening
styles in testing the reaction to both classical and popular music. The dependent
variables for the present study were math test scores.
Since the terms classical and popular music may cover a wide range of stylistic
variance, this study used specific musical examples. Stewart (1984)found a difference
between subjects' responses to verbal and operant preferences that varied among musical
styles. The present study controlled for that difference by specifically defining
classical and popular music with operant musical examples which the subjects were (for the
purposes of this study) to consider typical of that musical style.
To begin this study, the subjects listened to a short except (one minute of the first
movement) from Mozart's Divertimento No. 12 in E-flat, K. 252, performed by The New
York Philomusica (CDX 5051). The proctor turned off the music and instructed the students
that, for the purposes of this study, they were to consider the example typical of
classical music. The proctor then asked the students to fill out Hedden's music listening
reaction scale for classical music. The Hedden music listening reaction scale consists of
twenty questions, each followed bv a bar scale allowing the subject to indicate the
strength of this response in a scale of one to one hundred. Next, the subjects listened to
a short excerpt (one minute) of ZZ Top's Somebody Else Been Shakin' Your Tree that,
for the purposes of this study, they were to consider to be typical of popular music. The
proctor then asked them to fill out Hedden's music listening reaction scale for popular
music; also with the music turned off. The questions for the popular music listening
reaction scale are identical to the classical music listening reaction scale. In his
dissertation Hedden provides a formula for computing a value for the five music listening
styles on a scale from one to one hundred based on the raw data.
During the next three class sessions (the class met twice weekly) the subjects
completed three parallel forms of a math test, consisting of 16 questions each. The three
test forms were derived from a math placement test used during the 1980's by the
university's math department. The reliabilities of the three test forms for this sample
were computed by Cronbach's alpha and Cochran's Q and were found to be acceptable (see
Table 1).
Table 1
Reliability Estimates for the Three Math Tests
CLASTST (classical music)
| N OF CASES = 68.0 |
N OF ITEMS = 16 |
| Cochran's Q = 138.8470 |
p <.0001 |
| ALPHA= 0.6775 |
|
POPTST (popular music)
| N OF CASES = 64.0 |
N OF ITEMS 16 |
| Cochran's Q = 140.7540 |
p <.0001 |
| ALPHA=0.6969 |
|
CONTST (no background music)
| N OF CASES = 72.0 |
N OF ITEMS 16 |
| Cochran's Q = 132.7166 |
p <.0001 |
| ALPHA = 0.6886 |
|
Before passing out math test form one, the proctor instructed the class that they would
have 10 minutes to complete the 16 math questions. Mozart's Divertimento No. 12 in
E-flat, K. 252 was playing at a comfortable listening level for taking the test (as
determined by class consensus) and the subjects were given the choice of where to sit in a
large classroom with the loudspeakers at the front. The proctor then distributed the math
test during which the music continued throughout the administration of the test. After ten
minutes the proctor told the students to put down their pencils and pass in the tests. The
music played during the entire test administration of about fourteen minutes. During the
next class session, the proctor followed the same procedure for math test form two except
three ZZ Top recordings (Somebodv Else Been Shakin' Your Tree, Brown Sugar,
and Squank) provided the background music. Again, the music played during the
entire test administration. For the third math test form the proctor played no music
during the testing.
Regression analyses were used to analyze the data. The independent variables were the
music listening style scores and the math test condition with no background music
(CONTST). The dependent variables were the math test scores under the music listening
conditions of classical (CLASTST) and popular (POPTST). Also, as an independent variable
in a post hoc procedure, students were asked to answer yes or no to the following
statments: "When I study, listening to classical music interferes with my
concentration" and "When I study, listening to popular music interferes with my
concentration".
Results
To determine the effects of music listening style scores and the background music
conditions, CLASTST (the test taken with classical background music) and POPTST (the test
taken with popular background music) were regressed on their respective music listening
style scores and CONTST (the control test with no background music). Table 2 lists the
variable labels.
Table 2
Variable Names
CLASSICAL MUSIC LISTENING STYLES
| CA |
Associative |
| CI |
Involvement |
| CE |
Enjoyment |
| CP |
Physical |
| CC |
Cognitive |
POPULAR MUSIC LISTENING STYLES
| PA |
Associative |
| PI |
Involvement |
| PE |
Enjoyment |
| PP |
Physical |
| PC |
Cognitive |
| YC |
When I study, listening to classical music interferes with my concentration. 1 = yes,
0 = no |
| YP |
When I study, listening to popular music interferes with my concentration. 1 = yes, 0
= no |
| CLASTST |
The math test score with classical background music |
| POPTST |
The math test score with popular background music |
| CONTST |
The math test score with no background music |
Tables 3 and 4 show the results of two regression analyses. The results indicated there
are no music listening style variables that have any statistically significant effect on
the test score difference for either the classical or the popular music listening
condition. CONTST has a statistically significant effect on the two dependent variables.
This may indicate that people who perform w ell in math also perform well studying math
under background music conditions.
Table 3
Regression Analysis for CLASTST Regressed on the Music Listening Style Scores for
Classical Music and CONTST
| |
DR |
Sum of Squares |
Mean Square |
| Regression |
6 |
152.75845 |
25.45974 |
| Residual |
42 |
123.48645 |
2.94015 |
| R Square = .55298 |
|
F = 8.65932 |
Sig F<.0001 |
| Variable |
B |
SE B |
Beta |
t |
Sig. t |
| CONTST |
.694126 |
.108881 |
.715638 |
6.375 |
.0000 |
| CI |
-.038022 |
.022374 |
-.199713 |
-1.699 |
.0966 |
| CC |
-.007180 |
.013090 |
-.077043 |
-.549 |
.5862 |
| CP |
-.002731 |
.023938 |
-.018487 |
-.114 |
.9097 |
| CE |
-.008017 |
.019952 |
-.077545 |
-.402 |
.6899 |
| CA |
.028530 |
.023452 |
.237064 |
1.217 |
.2306 |
| (Constant) |
4.777199 |
2.009605 |
|
|
Table 4
Regression Analysis for POPTST Regressed on the Music Listening Siyle Scores for
Popular Music and CONTST
| |
DF |
Sum of Squares |
Mean Square |
| Regression |
6 |
136.7454 |
122.79090 |
| Residual |
42 |
163.49948 |
3.89284 |
| R Square = .45545 |
|
F=5.85456 |
Sig. F = .0002 |
| Variable |
B |
SE B |
Beta |
t |
Sig. t |
| PE |
.016287 |
.024909 |
.146682 |
.654 |
.5168 |
| Pi |
-.001401 |
.019273 |
-.008721 |
-.073 |
.9424 |
| CONTST |
.699301 |
.127056 |
.691558 |
5.504 |
.0000 |
| PC |
.004390 |
.016337 |
.036949 |
.269 |
.7895 |
| pp |
-.026498 |
.03658.4 |
-.138622 |
-.724 |
.4729 |
| PA |
-.004486 |
.027663 |
-.032442 |
-.162 |
.8719 |
| (Constant) |
6.972756 |
4.639115 |
|
|
|
A t-test was used to analyze the differences among the test score means for CLASTST,
POPTST, and CONTST. Table 5 presents the comparison of math test score means and their
corresponding t-tests. The t-test revealed no statistically significant differences among
the three testing conditions. One may assume that the presence of either classical or
popular background music had no effect on the subjects' math test performance.
Table 5
Comparison of Math Test Score Means
| Variable |
Number of Cases |
|
Standard Deviation |
Standard Error |
| CLASTST classical) |
62 |
11.8387 |
2.681 |
.340 |
| POPTST (popular) |
62 |
12.0806 |
2.675 |
.340 |
| t = -.93 p=.354 |
|
|
|
|
| Variable |
Number of Cases |
|
Standard Deviation |
Standard Error |
| CLASTST (classical) |
66 |
11.8485 |
2.707 |
.333 |
| CONTST (control) |
66 |
12.0152 |
2.754 |
.339 |
| t = -.65 p =.517 |
|
|
|
|
| Variable |
Number of Cases |
|
Standard Deviation |
Standard Error |
| POPTST (popular) |
64 |
11.8438 |
2.779 |
.347 |
| CONTST (control) |
64 |
11.9375 |
2.822 |
.353 |
| t = -.33 p =.742 |
|
|
|
|
Table 6 presents the results of the post-hoc procedure where the variables YC
("When I study, listening to classical music interferes with my concentration")
and YP ("When I study, listening to popular music interferes with my
concentration") were coded 1 for a yes and 0 for a no response. 33% of the
respondents indicated that classical music interferes with their studying, while 43% of
the subjects indicated that popular music interferes with their studying. The variables
CLASTST and POPTST were then regressed on YC and YP respectively, Controlling for CONTST .
The variables YC and YP also had no statistically significant effect on, or correlation
with, CLASTST and POPTST respectively. Also, the various independent variables were tested
for interactions and curvilinearity, revealing no statistically significant results as
illustrated in Table 7.
Table 6
cLearning Math 1st Grade Math Mathlearndirect R New User Square Szh 1 Math Learn Direct Effects of Popular and Classical Background Cangurasul%20matematician%20regulament%20pentru%20foaia%20de%20concurs Music on the Math Test Scores of
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