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Now showing items 1-10 of 22

#### AB≠BA : an investigation into the historical roots of noncommutative algebra

Abstract Algebra is a branch of mathematics in which a large amount of research is currently taking place. This research includes the investigation into different types of algebraic structures such as fields, rings, groups, ...

#### Variables : what are they and why are they important?

(Northern Illinois University, 1988)

As a student in MATH 412 last semester, I encountered literature that suggested Algebra I students’ difficulty with that subject stemmed from their misconceptions concerning the concept of variable. Indeed, the transition ...

#### Expanding horizons in intermediate mathematics

(Northern Illinois University, 1986)

This project is aimed at providing teachers with activities that could be used to increase students’ understanding of mathematics. The activities listed are aimed for students in fifth through eighth grade. Many of the ...

#### Stacker : a microworld for algebra

(Northern Illinois University, 1988)

Research has been done which shows students have difficulty bridging the gap between arithmetic and basic algebra. Often, students who are able to perform symbolic manipulations still have an inadequate understanding of ...

#### Some insights into partitioning and repartioning behaviors

(Northern Illinois University, 1986)

Recently, in mathematical educational research, there has been quite a bit of work focusing on the acquisition of rational numbers concepts by school age children. It is believed that partitioning, the act of dividing a ...

#### Design and analysis for Bayesian approximation of solutions to linear differential equations

(Northern Illinois University, 1989)

The problem we are addressing is that of designing and analyzing experiments for numerically solving linear differential equations of the form: Σ-(i=0)^n [g_i (t) y^((i) ) = h(t)] for all t in a specified domain. In general, ...

#### To track or not to track : refining middle school mathematics

(Northern Illinois University, 1994)

This research project discusses the issue of tracking, or ability grouping, in the education system. Using this type of system, students are grouped into low, medium,and high ability groups in all or at least several of ...

#### What is the square root of 2?

(Northern Illinois University, 1987)

In mathematics, we are always told that when there are two methods for doing some problem, they will always yield the same results. In this paper, I will see if this is true when using two methods for constructing the real ...

#### Selection in genetics : a mathematical model

(Northern Illinois University, 1986)

There are many areas of study in the field of genetics which continually affect our highly technological society. In particular, the idea of being able to predict the time when, given the current distribution of a population, ...

#### The problem of adequately defining numbers

(Northern Illinois University, 1989)

Natural numbers, although they pervade much of mathematics, are among the most difficult entities for which to provide definitions. Although it is often overlooked, as the efforts of pure mathematics are directed toward ...