ERIC EJ883862: Icelandic 5th Grade Girls’ Developmental pdf

ERIC EJ883862: Icelandic 5th Grade Girls’ Developmental

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Description of the Book:

Understanding of ratio and proportion is critical to the development of higher level mathematical skills. Following Carpenter, Gomez, et al.’s (1999) proposal of a four-level trajectory in the development of proportional reasoning, a 12-week investigation was undertaken of the developmental trajectory of proportional reasoning of girls in two 5th-grade classes in Iceland. Students in these classes were accustomed to instructional practices that encouraged them to devise and explain their own solutions to mathematical problems. Results of the study confirm the learning trajectory with the addition of a further distinct level of development between Level 2 and Level 3. Results showed that girls moved easily, with minimum scaffolding, from Level 1 to 2 and from Level 2 to 3. The transition to Level 4, which involves explicit awareness of “within” and “between” multiplicative relationships, took greater time and effort. Teacher awareness of the four-level learning strategy, with the new emerging Level 3, assists in the design of appropriate problems, class structure, and teaching strategies.

Building on Lamon’s notions of unitizing and norming as by Carpenter et al.’s (1999) developmental model, this study contributes to our comprehension of students’ understanding of proportionality and how it develops. (Contains 10 figures and 1 table

• Creator/s: ERIC
• Date: 2009
• Year: 2009
• Book Topics/Themes: ERIC Archive, Females, Learning Strategies, Mathematical Concepts, Teaching Methods, Grade 5, Elementary School Students, Mathematical Logic, Logical Thinking, Problem Solving, Algebra, Instructional Effectiveness, Foreign Countries, Steinthorsdottir, Olof B., Sriraman, Bharath

An excerpt captured from the PDF book