Investigating Students’ Development of Learning Integer Concept and Integer Addition
نویسندگان
چکیده
منابع مشابه
investigating email literacy of iranian students’ learning english
abstract this study aimed at analyzing a corpus of emails gathered from iranian students studying in england. the corpus contained 996 emails that were investigated by employing the framework of chen (2006) to find common patterns in the discourse of these emails. another aim of the study was to find how two request acts (want statements and query preparatory) were used in the emails. the...
15 صفحه اولInteger Addition and Hamming Weight
We study the effect of addition on the Hamming weight of a positive integer. Consider the first 2n positive integers, and fix an α among them. We show that if the binary representation of α consists of Θ(n) blocks of zeros and ones, then addition by α causes a constant fraction of low Hamming weight integers to become high Hamming weight integers. This result has applications in complexity theo...
متن کاملLinear Approximating to Integer Addition
The integer addition is often applied in ciphers as a cryptographic means. In this paper we will present some results about the linear approximating for the integer addition.
متن کاملInteger Complexity, Addition Chains, and Well-Ordering
In this dissertation we consider two notions of the “complexity” of a natural number, the first being addition chain length, and the second known simply as “integer complexity”. The integer complexity of n, denoted ‖n‖, is the smallest number of 1’s needed to write n using an arbitrary combination of addition and multiplication. It is known that ‖n‖ ≥ 3 log3 n for all n. We consider the differe...
متن کاملTightened Transitive Closure of Integer Addition Constraints
We present algorithms for testing the satisfiability and finding the tightened transitive closure of conjunctions of addition constraints of the form ±x ± y ≤ d and bound constraints of the form ±x ≤ d where x and y are integer variables and d is an integer constrant. The running time of these algorithms is a cubic polynomial in the number of input constraints. We also describe an efficient mat...
متن کاملذخیره 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: Journal on Mathematics Education
سال: 2016
ISSN: 2407-0610,2087-8885
DOI: 10.22342/jme.7.2.3538.57-72