Mathematical working space relations with conversions between representations and problem solving in fraction addition
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| Format: | Artículo científico |
| Language: | en |
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Colegio Mexicano de Matemática Educativa A. C.
2014
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| _version_ | 1876472175160983552 |
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| author | Deliyianni Eleni |
| author_facet | Deliyianni Eleni |
| contents | Mathematical working space relations with conversions between representations and problem solving in fraction addition Deliyianni Eleni Gagatsis Athanasios Educación Conversion Transition Problem solving Fraction addition Mathematical Working Space The present study is focused on the cognitive level of Mathematical Working Space (MWS) and the component of the epistemological level related to semiotic representations in fraction addition. A test measuring students’ conversion and problem - solving ability in fraction addition was developed and administered to 388 primary and secondary school students (about 11-14 years old) three times. Multivariate analysis of variance (MANOVA) for repeated measures and implicative method revealed that the students’ performance improved as they move within primary school and within secondary school. A hiatus in performance progress is indicated, though, when the students moved from primary to secondary school. This finding is in line with a compartmentalized way of thinking indicated for this age group. Didactical implications are discussed. 2014 artículo científico 1665-2436 https://www.redalyc.org/articulo.oa?id=33554784002 https://www.redalyc.org/journal/335/33554784002/ https://www.redalyc.org/journal/335/33554784002/html/ https://www.redalyc.org/journal/335/33554784002/33554784002.epub https://www.redalyc.org/journal/335/33554784002/movil https://doi.org/10.12802/relime.13.17412 en http://www.redalyc.org/revista.oa?id=335 Revista Latinoamericana de Investigación en Matemática Educativa, RELIME application/pdf Colegio Mexicano de Matemática Educativa A. C. Revista Latinoamericana de Investigación en Matemática Educativa, RELIME (México) Num.4-2 Vol.17 |
| format | Artículo científico |
| id | redalyc_33554784002 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Colegio Mexicano de Matemática Educativa A. C. |
| spellingShingle | Mathematical working space relations with conversions between representations and problem solving in fraction addition Deliyianni Eleni Educación Conversion Transition Problem solving Fraction addition Mathematical Working Space Mathematical working space relations with conversions between representations and problem solving in fraction addition Deliyianni Eleni Gagatsis Athanasios Educación Conversion Transition Problem solving Fraction addition Mathematical Working Space The present study is focused on the cognitive level of Mathematical Working Space (MWS) and the component of the epistemological level related to semiotic representations in fraction addition. A test measuring students’ conversion and problem - solving ability in fraction addition was developed and administered to 388 primary and secondary school students (about 11-14 years old) three times. Multivariate analysis of variance (MANOVA) for repeated measures and implicative method revealed that the students’ performance improved as they move within primary school and within secondary school. A hiatus in performance progress is indicated, though, when the students moved from primary to secondary school. This finding is in line with a compartmentalized way of thinking indicated for this age group. Didactical implications are discussed. 2014 artículo científico 1665-2436 https://www.redalyc.org/articulo.oa?id=33554784002 https://www.redalyc.org/journal/335/33554784002/ https://www.redalyc.org/journal/335/33554784002/html/ https://www.redalyc.org/journal/335/33554784002/33554784002.epub https://www.redalyc.org/journal/335/33554784002/movil https://doi.org/10.12802/relime.13.17412 en http://www.redalyc.org/revista.oa?id=335 Revista Latinoamericana de Investigación en Matemática Educativa, RELIME application/pdf Colegio Mexicano de Matemática Educativa A. C. Revista Latinoamericana de Investigación en Matemática Educativa, RELIME (México) Num.4-2 Vol.17 |
| title | Mathematical working space relations with conversions between representations and problem solving in fraction addition |
| topic | Educación Conversion Transition Problem solving Fraction addition Mathematical Working Space |
| url | https://www.redalyc.org/articulo.oa?id=33554784002 https://www.redalyc.org/journal/335/33554784002/ https://www.redalyc.org/journal/335/33554784002/html/ https://www.redalyc.org/journal/335/33554784002/33554784002.epub https://www.redalyc.org/journal/335/33554784002/movil https://doi.org/10.12802/relime.13.17412 |