Representations of proportional relationships: Are children part-part or part-whole reasoners?

Autor:	Janice Ann Singer, Lauren B. Resnick
Rok vydání:	1992
Předmět:	Rational number Qualitative analysis General Mathematics Content (measure theory) Representation (systemics) Mathematics education Cognition Part whole Thinking skills Education Mathematics
Zdroj:	Educational Studies in Mathematics. 23:231-246
ISSN:	1573-0816 0013-1954
DOI:	10.1007/bf02309531
Popis:	This research describes an intensive study undertaken to determine children's representational strategies for relational numbers (e.g. proportions, ratios, fractions). Relational numbers have three quantities associated with them: a whole and two parts. Given these three quantities, children can form a representation based on a part-whole relationship or on a part-part relationship. Fifteen children (6th, 7th, and 8th graders) solved fifteen probability problems which varied information content and quantitative relationships between the quantities expressed in the problems. A quantitative and qualitative analysis revealed that children prefer a part-part representation to solve problems with relational quantities.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3f78374f3b7a0b47b8c87ea2dbcd2e59 https://doi.org/10.1007/bf02309531 Zobrazit plný text záznamu Full text from SpringerLink