Reproduction of Social Class Differences: An Analysis of Realistically Contextualized Test Items in Mathematics Classroom
Author(s):
Sarah Piel (presenting / submitting) Claudia Schuchart
Conference:
ECER 2012
Format:
Poster

Session Information

24 SES 05.5 PS, General Poster Exhibition

General Poster Session during Lunch

Time:
2012-09-19
12:30-14:00
Room:
FCEE - Poster Exhibition Area
Chair:

Contribution

The relationship between school achievement and social class has been a central concern in international educational research in recent years. Findings of comparative studies in educational achievement such as PIRLS or TIMSS (Bos 2007; Bonsen 2008) have consistently shown that students from socially disadvantaged backgrounds are less successful in school than their socio-economic more privileged classmates. In sociological perspectives it is argued that the genesis of educational inequality by social class should be understood as an unequal distribution of cultural and economic resources. With Boudon (1974) the creation of social inequality within educational contexts unfolds into primary effects (socially determined academic performance) and secondary effects (socially determined educational choices). However, previous research still fails to explain which impact school education and in detail school exercises may have in creating social class differences in school performance.
The current study examines how social inequality is reproduced on the level of school classroom and aims to explain, to what extend working with ‘realistically contextualized’ and ‘pure mathematical’ items can lead to discriminating children with lower socio-economic status (SES). To investigate this we combine sociological perspectives with didactics of mathematics. 
From a sociological point of view findings will be interpreted with Basil Bernstein´s code theory (Bernstein 2005). His theory offers 1) possibilities to describe characteristics of test items via classification and framing and 2) ways to describe requirements of test items from a learner’s perspective via recognition and realization rules 3) explanations for social differences in performance with different types of mathematic items. Mathematical educational circles e.g. mathematic curricula emphasize contextualization of mathematics is both, motivating for students and useful for everyday life. Considering what is sociologically known about socio-cultural orientation of meanings, speech forms and modes of responses (Holland 1981), the present project examines, whether there are unintended negative consequences for students from social disadvantaged backgrounds when working with items that embed a mathematical problem in a realistic setting.
In England Cooper and Dunne (1998/2000) already identified that, lower SES students, compared with higher SES students, perform less well on ‘realistic contextualized’ items in comparison with ‘pure mathematic’ items. In addition qualitative analyses have shown that lower SES children are more likely to draw inappropriate on their everyday knowledge than higher SES students and that these effects can lead to an underestimation of student´s actual existing mathematical knowledge.
In reference to the theoretical and empirical framework that has been stressed out, two central research questions are to be investigated by the current study: On the one hand students from lower SES background are expected to do considerably less well on items which have been classified as ‘realistic’ than students from higher SES background. On the other hand none of these socio-economic effects are expected to be found in case of ‘pure mathematical’ items. Both research hypotheses are supposed to show, that not IQ but socio-economic background factors are responsible for these phenomena.

Method

The present study employs quantitative statistical analysis of children´s performance in German primary schools with mathematical items, tested in an international large scale assessment (N=5200 students). To analyze the data, a classification system based on theoretical and empirical framework has been carried out, which allows us to classify items into the dimensions ‘realistic’ and ‘pure mathematic’. An item has been coded as ‘realistic’ when a mathematic problem is embedded in an everyday setting like sports, games, shopping, travelling etc. Consequently an item has been categorized as ‘pure mathematic’, if it doesn´t contain any extra-mathematical context. To guarantee a detailed interpretation of the results the test items have been coded by a number of additional dimensions. These include item difficulty, cognitive demands, mathematical discipline, ’text heavy’, type of response and pictorial presentation. Furthermore the test data allow us to consider how performance on ‘realistic’ and ‘pure mathematic’ items varies by covariates like gender and cultural background.

Expected Outcomes

Our research is important for a number of reasons. First of all, children´s performance in mathematics has a determining impact on their forthcoming life chances, in particular in the process of selection at the end of primary schooling. Second and more generally such research can bear some important and proximate conclusions for both, mathematical education in school classroom and (university) teacher education. In accordance with previous assumptions and research first results do indeed show a significant relationship between social-economic background factors and performance on ‘realistic’ and ‘pure mathematic’ items in expected directions. We found differences between social classes in case of ‘realistic’ classified items, with lower SES students performing less well than higher SES students and with IQ as an independent covariate. Additionally statistical analyses do not show comparable effects for ‘pure mathematic’ items. Differential results will be presented to show whether social class differences in performance are large enough to make a determining difference to educational life chances.

References

Bernstein, B. (2005). Social Class and Sociolinguistic Codes. In U. Ammon, N. Dittmar, K. J. Mattheier & P. Trudgill (Ed.), Sociolinguistics. An International Handbook of the Science of Language and Society (pp. 1287-1303). Bd. 3,2. Berlin/New York: Walter de Gruyter. Bonsen, M., Frey, K. A. & Bos, W. (2008). Soziale Herkunft. In W. Bos, M. Bonsen, J. Baumert, M. Prenzel, C. Selter, G. Walther (Ed.), TIMSS 2007. Mathematische und naturwissenschaftliche Kompetenzen von Grundschulkindern in Deutschland im internationalen Vergleich (pp. 141-156). Münster: Waxmann. Bos, W., Schwippert, K. & Stubbe, T. C. (2007). Die Koppelung von sozialer Herkunft und Schülerleistungen im internationalen Vergleich. In W. Bos, S. Hornberg, K.-H. Arnold (Ed.), Lesekompetenzen von Grundschulkindern in Deutschland im internationalen Vergleich (pp. 225-247). Münster: Waxmann. Boudon, R. (1974). Education, Opportunity, and Social Inequality. New York: Wiley & Sons. Cooper, B. & Dunne M. (1998). Anyone for tennis? Social class differences in children´s responses to national curriculum mathematics testing. The Sociological Review, 46(1), 115–148. Cooper, B. & Dunne, M. (2000). Assessing Children´s Mathematical Knowledge: Social Class, Sex and Problem-Solving. Buckingham (Philadelphia): Open University Press. Holland, J. (1981). Social class and Changes in Orientation to Meaning. Sociology, 15(1), 1-18.

Author Information

Sarah Piel (presenting / submitting)
Bergische Universität Wuppertal
IfB Institut für Bildungsforschung
Wuppertal
Bergische Universität Wuppertal
Institut für Bildungsforschung
Wuppertal

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