کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
365531 621200 2015 9 صفحه PDF سفارش دهید دانلود رایگان
عنوان انگلیسی مقاله ISI
Bridging the gap: Fraction understanding is central to mathematics achievement in students from three different continents
ترجمه فارسی عنوان
پل زدن شکاف: درک شکاف، مرکز پیشرفت ریاضی در دانش آموزان سه قاره مختلف است
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کلمات کلیدی
فراکسیون؛ نمایندگی قدر؛ حساب؛ نظریه یکپارچه توسعه عددی؛ تفاوت های فرهنگی
موضوعات مرتبط
علوم انسانی و اجتماعی روانشناسی روانشناسی رشد و آموزشی
چکیده انگلیسی

• Fraction magnitude understanding and general math achievement are correlated.
• This correlation remains when controlling for fraction arithmetic.
• This pattern of results was found with 6th and 8th graders from three continents.
• This supports the pivotal role of fraction understanding in math achievement.
• It also indicates magnitude understanding is central for numerical development.

Numerical understanding and arithmetic skills are easier to acquire for whole numbers than fractions. The integrated theory of numerical development posits that, in addition to these differences, whole numbers and fractions also have important commonalities. In both, students need to learn how to interpret number symbols in terms of the magnitudes to which they refer, and this magnitude understanding is central to general mathematical competence. We investigated relations among fraction magnitude understanding, arithmetic and general mathematical abilities in countries differing in educational practices: U.S., China and Belgium. Despite country-specific differences in absolute level of fraction knowledge, 6th and 8th graders' fraction magnitude understanding was positively related to their general mathematical achievement in all countries, and this relation remained significant after controlling for fraction arithmetic knowledge in almost all combinations of country and age group. These findings suggest that instructional interventions should target learners' interpretation of fractions as magnitudes, e.g., by practicing translating fractions into positions on number lines.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Learning and Instruction - Volume 37, June 2015, Pages 5–13
نویسندگان
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