Analysis of grade 10 mathematical literacy students’ errors in financial mathematics
- Authors: Khalo, Xolani
- Date: 2014
- Subjects: Academic support -- Programmes , Peer support -- Higher education , South Africa -- Previously disadvantaged students , Errors analysis -- Financial mathematics , Mathematical literacy -- Irrelevant rules -- Language difficulty
- Language: English
- Type: Thesis , Masters , M Ed
- Identifier: http://hdl.handle.net/10353/1369 , vital:26550 , Academic support -- Programmes , Peer support -- Higher education , South Africa -- Previously disadvantaged students , Errors analysis -- Financial mathematics , Mathematical literacy -- Irrelevant rules -- Language difficulty
- Description: The main aim of the study was (1) to identify errors committed by learners in financial mathematics and (2) to understand why learners continue to make such errors so that mechanisms to avoid such errors could be devised. The following has been hypothesised; (1) errors committed by learners are not impact upon by language difficulties, (2) errors committed by learners in financial mathematics are not due to prerequisite skills, facts and concepts, (3) errors committed by learners in financial mathematics are not due to the application of irrelevant rules and strategies. Having used Polya’s problem-solving techniques, Threshold Concept and Newman’s Error Analysis as the theoretical frameworks for the study, a four-point Likert scale and three content-based structured-interview questionnaires were developed to address the research questions. The study was conducted by means of a case study guided by the positivists’ paradigm where the research sample comprised of 105 Grade-10 Mathematics Literacy learners as respondents. Four sets of structured-interview questionnaires were used for collecting data, aimed at addressing the main objective of the study. In order to test the reliability and consistency of the questionnaires for this study, Cronbach’s Alpha was calculated for standardised items (α = 0.705). Content analysis and correlation analysis were employed to analyse the data. The three hypotheses of this study were tested using the ANOVA test and hence revealed that, (1) errors committed by learners in financial mathematics are not due to language difficulties, as all the variables illustrated a statistical non-significance (2) errors committed by learners in financial mathematics are not due to prerequisite skills, facts and concepts, as the majority of the variables showed non-significance and (3) errors committed by learners in financial mathematics were due to the application of irrelevant rules and strategies, as 66.7% of the variables illustrated a statistical significance to the related research question.
- Full Text:
- Date Issued: 2014
- Authors: Khalo, Xolani
- Date: 2014
- Subjects: Academic support -- Programmes , Peer support -- Higher education , South Africa -- Previously disadvantaged students , Errors analysis -- Financial mathematics , Mathematical literacy -- Irrelevant rules -- Language difficulty
- Language: English
- Type: Thesis , Masters , M Ed
- Identifier: http://hdl.handle.net/10353/1369 , vital:26550 , Academic support -- Programmes , Peer support -- Higher education , South Africa -- Previously disadvantaged students , Errors analysis -- Financial mathematics , Mathematical literacy -- Irrelevant rules -- Language difficulty
- Description: The main aim of the study was (1) to identify errors committed by learners in financial mathematics and (2) to understand why learners continue to make such errors so that mechanisms to avoid such errors could be devised. The following has been hypothesised; (1) errors committed by learners are not impact upon by language difficulties, (2) errors committed by learners in financial mathematics are not due to prerequisite skills, facts and concepts, (3) errors committed by learners in financial mathematics are not due to the application of irrelevant rules and strategies. Having used Polya’s problem-solving techniques, Threshold Concept and Newman’s Error Analysis as the theoretical frameworks for the study, a four-point Likert scale and three content-based structured-interview questionnaires were developed to address the research questions. The study was conducted by means of a case study guided by the positivists’ paradigm where the research sample comprised of 105 Grade-10 Mathematics Literacy learners as respondents. Four sets of structured-interview questionnaires were used for collecting data, aimed at addressing the main objective of the study. In order to test the reliability and consistency of the questionnaires for this study, Cronbach’s Alpha was calculated for standardised items (α = 0.705). Content analysis and correlation analysis were employed to analyse the data. The three hypotheses of this study were tested using the ANOVA test and hence revealed that, (1) errors committed by learners in financial mathematics are not due to language difficulties, as all the variables illustrated a statistical non-significance (2) errors committed by learners in financial mathematics are not due to prerequisite skills, facts and concepts, as the majority of the variables showed non-significance and (3) errors committed by learners in financial mathematics were due to the application of irrelevant rules and strategies, as 66.7% of the variables illustrated a statistical significance to the related research question.
- Full Text:
- Date Issued: 2014
Identity-related decision-making among multicultural adolescents
- Authors: Siwundla, Lundi
- Date: 2011
- Subjects: Identity (Psychology) , Multiculturalism , Decision making , Teenagers -- Social networks , Social intelligence , Adolescence
- Language: English
- Type: Thesis , Masters , M Soc Sc (C Psy)
- Identifier: vital:11855 , http://hdl.handle.net/10353/319 , Identity (Psychology) , Multiculturalism , Decision making , Teenagers -- Social networks , Social intelligence , Adolescence
- Description: This present study investigated South African Afrikaans-, English- and Xhosa-speaking male and female urban secondary school adolescents‟ (N = 1301) perception of the relative importance of identity-related domains by investigating the choices that they carried out in relation to meaningful identity-related areas of their lives. Consequently a structured questionnaire consisting of 14 domain particular areas was used. In Eriksonian terms, one could say that the South African society is in a psychosocial crisis. Almost all the domain-specific items were regarded as relevant “Very important” or “Fairly important” by a notable or significant majority of participants. All fourteen of the domains were regarded as “Very important” by at least 35 percent of the participants from two cultural groups, namely African and Coloured sub cultural groups; while twelve of the domains were regarded as “Very important” by at least 50 percent of the African subgroup and thirteen domains were regarded as “Very important” by 40 percent of the Coloured subgroup. “Leisure and recreational activities”, “Friendships with members of the same sex peer group”, “My political views and convictions” and “Friendships with members of the opposite sex peer group” were however, still regarded as “Fairly important” by 56 percent, 53 percent, 58 percent and 52 percent of the total research group respectively. It should also be noted that generally females in the sample were more inclined to evaluate domains that had a bearing on interpersonal relationships as significantly more important than the males namely: Friendship with members of the same-sex peer group, What kind of person I want a permanent relationship with, What kind of person I want to marry, and How I should act as husband or wife. The males tended to evaluate the domains, Sexual matters and Friendship with members of the opposite sex more significantly important than the females did.
- Full Text:
- Date Issued: 2011
- Authors: Siwundla, Lundi
- Date: 2011
- Subjects: Identity (Psychology) , Multiculturalism , Decision making , Teenagers -- Social networks , Social intelligence , Adolescence
- Language: English
- Type: Thesis , Masters , M Soc Sc (C Psy)
- Identifier: vital:11855 , http://hdl.handle.net/10353/319 , Identity (Psychology) , Multiculturalism , Decision making , Teenagers -- Social networks , Social intelligence , Adolescence
- Description: This present study investigated South African Afrikaans-, English- and Xhosa-speaking male and female urban secondary school adolescents‟ (N = 1301) perception of the relative importance of identity-related domains by investigating the choices that they carried out in relation to meaningful identity-related areas of their lives. Consequently a structured questionnaire consisting of 14 domain particular areas was used. In Eriksonian terms, one could say that the South African society is in a psychosocial crisis. Almost all the domain-specific items were regarded as relevant “Very important” or “Fairly important” by a notable or significant majority of participants. All fourteen of the domains were regarded as “Very important” by at least 35 percent of the participants from two cultural groups, namely African and Coloured sub cultural groups; while twelve of the domains were regarded as “Very important” by at least 50 percent of the African subgroup and thirteen domains were regarded as “Very important” by 40 percent of the Coloured subgroup. “Leisure and recreational activities”, “Friendships with members of the same sex peer group”, “My political views and convictions” and “Friendships with members of the opposite sex peer group” were however, still regarded as “Fairly important” by 56 percent, 53 percent, 58 percent and 52 percent of the total research group respectively. It should also be noted that generally females in the sample were more inclined to evaluate domains that had a bearing on interpersonal relationships as significantly more important than the males namely: Friendship with members of the same-sex peer group, What kind of person I want a permanent relationship with, What kind of person I want to marry, and How I should act as husband or wife. The males tended to evaluate the domains, Sexual matters and Friendship with members of the opposite sex more significantly important than the females did.
- Full Text:
- Date Issued: 2011
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