# A Birthday.

@article{Abusanad2016AB, title={A Birthday.}, author={Atlal M. Abusanad}, journal={JAMA oncology}, year={2016}, volume={2 2}, pages={ 173 } }

(Author) (version of title for headline) Purdue University In honor of Jack Schwartz on his 65 th birthday. Abstract This paper gives a brief history of the development of an approach to helping students learn mathematical concepts at the post-secondary level. The method uses ISETL, a programming language derived from SETL, to implement instruction whose design is based on an emerging theory of learning. Examples are given of uses of this pedagogical strategy in abstract algebra, calculus, and…

## 11 Citations

The Siblings of the Coupon Collector

- Mathematics
- 2014

The following variant of the collector's problem has attracted considerable attention relatively recently (see, e.g., N. Pintacuda 1980, D. Foata H. Guo-Niu and B. Lass 2001, D. Foata and D.…

PhD revisited : Poetry : Prima Vista. Reader-Response Research on Poetry in a Foreign Language Context

- Education
- 2019

This chapter reports a doctoral study (Wiland, 2007) that investigates the experience of poetry reading in English and aims at revealing what foreign language students experience cognitively and…

Card guessing and the birthday problem for sampling without replacement

- Mathematics
- 2021

Consider a uniformly random deck consisting of cards labelled by numbers from 1 through n, possibly with repeats. A guesser guesses the top card, after which it is revealed and removed and the game…

Limit theorems in the extended coupon collector's problem.

- Mathematics
- 2020

We consider an extended variant of the classical coupon collector's problem with infinite number of collections. An arriving coupon is placed in the $r^{th}$ collection, $r\ge0$, if $r$ is the…

The Coupon Collector's Problem Revisited: Generalizing the Double Dixie Cup Problem of Newman and Shepp

- Mathematics
- 2014

The "double Dixie cup problem" of D.J. Newman and L. Shepp (1960) is a well-known variant of the coupon collector's problem, where the object of study is the number $T_{m}(N)$ of coupons that a…

Asymptotic distribution for the birthday problem with multiple coincidences, via an embedding of the collision process

- MathematicsRandom Struct. Algorithms
- 2016

The distribution and moments of B(c, n) asymptotically as n goes to ∞ and c = O(n) are calculated and a central limit result by Renyi is calculated.

The Coupon Collector's Brother

- Mathematics
- 2020

A popular variant of the collector's problem is the following: Assume there are $N$ different types of coupons with equal occurring probabilities. There is one main collector who collects coupons.…

Tenets of selected picturebook scholarship applied to the practice of the adaptation of the picturebook, the king has goat ears, to a picturebook app

- Art
- 2016

................................................................................................................................................ ii…

A Drug-Induced Random Walk

- EducationAm. Math. Mon.
- 2014

A natural way to proceed is to remove a pill from the bottle at random every day, and if it is a whole pill, break it in half, take one half, and return the other half to the bottle.

Convergence of point processes associated with coupon collector’s and Dixie cup problems

- MathematicsElectronic Communications in Probability
- 2019

We prove that, in the coupon collector's problem, the point processes given by the times of $r$-th arrivals for coupons of each type, centered and normalized in a proper way, converge toward a…

## References

SHOWING 1-10 OF 25 REFERENCES

Learning abstract algebra with ISETL

- Computer Science
- 1993

This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanations.

Development of the process conception of function

- Education
- 1992

Our goal in this paper is to make two points. First, college students, even those who have taken a fair number of mathematics courses, do not have much of an understanding of the function concept;…

On the Occasion of …

- History
- 1995

Accordingly, the editors commissioned contributions from six distinguished Canadian scholars. Essays on each of the three grand themes of the International Congress, by Jean-Paul Bernard, Joy Parr,…

The intellectual development of management information systems, 1972-1982: a co-citation analysis

- Business
- 1986

The results suggest that MIS research is not well-grounded in organization theory nor have MIS research results been widely diffused in the organizational literature, and suggestions for developing a better link between MIS and organizational theory are presented.

A Program for Research on Management Information Systems

- Computer Science
- 1973

It is argued that most research and development to date on MIS has assumed only one underlying psychological type, one class of problem types, one or two methods of generating evidence, and, finally, one mode of presentation.

Design and natural science research on information technology

- Computer ScienceDecis. Support Syst.
- 1995

Information Systems Conceptual Foundations: Looking Backward and Forward

- Computer ScienceOrganizational and Social Perspectives on IT
- 2000

The academic field of information systems has developed because organizations use a specialized body of knowledge about information and communications systems to support these organization needs.

A Framework for Research in Computer-Based Management Information Systems

- Business
- 1980

The paper presents a comprehensive framework for research in Management Information Systems MIS, useful not only in understanding and classifying MIS research but also in generating potential hypotheses for future research.

Calculus, Concepts and Computers

- Calculus, Concepts and Computers
- 1995