Errata: The GRE Advanced Mathematics Test

1979 ◽  
Vol 86 (10) ◽  
pp. 914
1987 ◽  
Vol 18 (3) ◽  
pp. 180-186
Author(s):  
Lyle V. Jones

Data from a national sample of high school sophomores in 1980 from the High School and Beyond project show that senior-year mathematics test scores are highly dependent on the number of courses taken in mathematics, Algebra I or above. Within each level of course taking, senior test scores are predicted reasonably well from student socioeconomic status, sophomore-year verbal test scores, and sophomore-year mathematics test scores. The results support the theses that (a) whether black or white, female or male, sophomore students with similar levels of mathematics achievement may be expected to experience similar levels of improvement by taking additional mathematics courses and (b) the expected improvement is elevated for students with four or more credits of advanced mathematics or with three credits that include calculus.


1978 ◽  
Vol 85 (9) ◽  
pp. 703
Author(s):  
J. R. Jefferson Wadkins

1978 ◽  
Vol 85 (9) ◽  
pp. 703-719
Author(s):  
J. R. Jefferson Wadkins

Author(s):  
José Ferreirós

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, the book uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, the book shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. It argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. It demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty. Offering a wealth of philosophical and historical insights, the book challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Dmitri Rozgonjuk ◽  
Karin Täht ◽  
Kristjan Vassil

Abstract Background The excessive use of Internet-based technologies has received a considerable attention over the past years. Despite this, there is relatively little research on how general Internet usage patterns at and outside of school as well as on weekends may be associated with mathematics achievement. Moreover, only a handful of studies have implemented a longitudinal or repeated-measures approach on this research question. The aim of the current study was to fill that gap. Specifically, we investigated the potential associations of Internet use at and outside of school as well as on weekends with mathematics test performance in both high- and low-stakes testing conditions over a period of 3 years in a representative sample of Estonian teenagers. Methods PISA 2015 survey data in conjunction with national educational registry data were used for the current study. Specifically, Internet use at and outside of school as well as on weekends were queried during the PISA 2015 survey. In addition, the data set included PISA mathematics test results from 4113 Estonian 9th-grade students. Furthermore, 3758 of these students also had a 9th-grade national mathematics exam score from a couple of months after the PISA survey. Finally, of these students, the results of 12th-grade mathematics national exam scores were available for 1612 and 1174 students for “wide” (comprehensive) and “narrow” (less comprehensive) mathematics exams, respectively. Results The results showed that the rather low-stakes PISA mathematics test scores correlated well with the high-stakes national mathematics exam scores obtained from the 9th (completed a couple of months after the PISA survey) and 12th grade (completed approximately 3 years after the PISA survey), with correlation values ranging from r = .438 to .557. Furthermore, socioeconomic status index was positively correlated with all mathematics scores (ranging from r = .162 to .305). Controlled for age and gender, the results also showed that students who reported using Internet the longest tended to have, on average, the lowest mathematics scores in all tests across 3 years. Although effect sizes were generally small, they seemed to be more pronounced in Internet use at school. Conclusions Based on these results, one may notice that significantly longer time spent on Internet use at and outside of school as well as on weekends may be associated with poorer mathematics performance. These results are somewhat in line with research outlining the potentially negative associations between longer time spent on digital technology use and daily life outcomes.


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