Construct maps and item frameworks: an example in proportional reasoning

نویسندگان

چکیده

Abstract Construct maps and related item type frameworks, which respectively describe identify common patterns in student reasoning, provide teachers with tools to support instruction built upon students’ intuitive thinking. We present a methodological approach–embedded within assessment development processes–for developing such construct frameworks entails (1) articulating map, (2) diagnostic types, (3) comparing difficulties, (4) modifying or providing evidence of the map. an example focused on proportional reasoning based its centrality mathematical success. The results further inform our map for item-type framework.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

an exploratory study of differential item functioning (dif) in efl reading comprehension

بررسی دلایل عملکرد متفاوت سوالات آزمون درک مطلب به زبان خارجی تاریخچه ی تحقیق درباره ی منابع عملکرد مختلف سوالات (دیف) در آزمون درک مطلب پر است از مجموعه ای از متغیرهای فرضیه ای که چند مورد از مهمترین آنها عبارتند از: جنسیت، آشنایی با موضوع متن، علاقه به موضوع یا محتوای متن، حدس زدن، و عوامل بافت اجتماعی (پی 2004؛ زومبو و گلین 2005). مطالعه حاضر با استناد به فلسفه ی انکارپذیری پوپر عوامل ذکر...

15 صفحه اول

development and implementation of an optimized control strategy for induction machine in an electric vehicle

in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...

15 صفحه اول

Counterfactual Reasoning in Argumentation Frameworks

In a formal argumentation framework, one is interested in whether a particular argument is accepted or not under argumentation semantics. When an argumentA is accepted, on the other hand, one may ask a question “what ifA were rejected?” We formulate such counterfactual reasoning in abstract argumentation frameworks. Based on Lewis’s logic, we define two counterfactual conditionals in AF and inv...

متن کامل

Diagrammatic Reasoning: Analysis of an Example

We argue that a purely diagrammatic proof of a nontrivial mathematical theorem is impossible, because a diagram cannot indicate how it should be generalized. The case is made by subjecting a famous diagrammatic demonstration of Pythagoras' theorem to a close examination, showing that it can be seen to be a demonstration of several different theorems.

متن کامل

Visual manipulatives for proportional reasoning

The use of a visual representation in learning about proportional relations studied, examining students' understandings of the invariance of a multiplicative relation on both sides of a proportion equation and the invariance of the structural relations that exist in different semantic types of proportion problems. Subjects were 49 high-ability sixth-grade mathematics students using the Jasper A...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics Education Research Journal

سال: 2022

ISSN: ['1033-2170', '2211-050X']

DOI: https://doi.org/10.1007/s13394-022-00415-z