Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pedagogical Justifications That Zero Factorial Equals One: Making
  Data-Driven Instructional Choices in Education   Zero factorial, defined to be one, is often counterintuitive to students but
nonetheless an interesting concept to convey in a classroom environment. The
challenge is to delineate the concept in a simple and effective way. In this
regard, the contribution of this article is two-fold: First, it reveals and
makes contribution to much simpler justifications on the notion of zero
factorial to be one when compared to previous studies in the area. Second, to
assess the effectiveness of the proposed justifications, an online survey has
been conducted at a comprehensive university and, via its statistical analysis,
data-driven instructional decision-making has been illustrated. Elaborating on
the first contribution, we note that the connection of zero factorial to the
definition of the gamma function provides a first-hand conceptual understanding
of the concept of zero factorial. But for the purpose of teaching, it is not
particularly helpful from the pedagogical point of view in early years of
study, as it is quite challenging to explain the rationale behind the origin of
the definite integral that defines the gamma function. In this regard two
algebraic and one statistical justification are presented. The squeeze theorem
plays a pivotal role in this article. To assess the effectiveness of the
justifications pedagogically, an online survey was conducted at a Canadian
university.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph