Abstract:
This study researched the impact of strategic navigation improvements in an online course selected for the study over one quarter (12 weeks) at a large Midwestern private university. The primary purpose of the study was to see if navigation enhancements and specific graphic enhancements (semiotic tools) in the online course selected for the study could make it easier for adult students to learn new course materials. The study also sought to see if these factors could contribute to increased positive learning experiences and to see whether there might be a higher percentage of completion rates in this enhanced online course than in other online courses at the university. While not generalizable, the findings could provide inferences about which factors could positively influence adult learning in online courses and contribute to increased course completion rates; the study could also provide recommendations on graphic enhancements and online course navigation that positively influence student learning in online courses.

Abstract:
Recent research has posited that there may be a relationship between an organization’s level of capability in electronic delivery of training and the barriers set up to detain it. One of the biggest obstacles is the entrenched culture of the organization itself. So often the challenges to the implementation of an innovation, such as electronic instruction, come from the establishment committed to its adoption. Embedded action research in electronic instructional design can provide observation of the innovation’s implementation and what was successful or not, but can also provide crucial feedback on the culture and atmosphere of the organization and participants in the innovation.

Abstract:
Where else can educational research begin and end, if not with the body of the researcher, if not with the particular material/ corporeal/ affective assemblages that this body is and has been part of? This paper traces the mutual constitution of bodies, identities and landscapes through memory as the body of this educator travels through multiple scenes of geo-spatial-temporal movement, and down the east coast of Australia. This movement parallels the movement from being a school teacher to becoming an academic. Throughout the paper landscape is foregrounded, and the body in landscape is evoked through poetic and literary modes of writing around the themes of learning and losing. The body in landscape is not merely the body of the writer. Other bodies in the landscape include ‘the curve of the snake’ - the row of protective hills that were said to protect her tropical home from cyclones – and the ‘scene of the crocodile’ – the rock that hung over the valley she passed on her way to school that she had learned of from Indigenous teachers. The political and ethical consequences of memory work, of body and place writing, and of genres of writing in educational research, are also considered. The paper argues for an embodied and reflexive literacy of place that incorporates multiple modes of knowing, being and writing.

Abstract:
The SU(3) modular invariant partition functions were first completely classified in Ref.\ \SU. The purpose of these notes is four-fold: \item{(i)} Here we accomplish the SU(3) classification using only the most basic facts: modular invariance; $M_{\la\mu}\in{\bf Z}_{\ge}$; and $M_{00}=1$. In \SU{} we made use of less elementary results from Moore-Seiberg, in addition to these 3 basic facts. \item{(ii)} Ref.\ \SU{} was completed well over a year ago. Since then I have found a number of significant simplifications to the general argument. They are all included here. \item{(iii)} A number of people have complained that some of the arguments in \SU{} were hard to follow. I have tried here to be as explicit and as clear as possible. \item{(iv)} Hidden in \SU{} were a number of smaller results which should be of independent value. These are explicitly mentioned here.

Abstract:
The problem of finding all possible effective field theories for the quantum Hall effect is closely related to the problem of classifying all possible modular invariant partition functions for the algebra $u(1)^m$, as was argued recently by Cappelli and Zemba. This latter problem is also a natural one from the perspective of conformal field theory. In this paper we completely solve this problem, expressing the answer in terms of self-dual lattices, or equivalently, rational points on the dual Grassmannian $G_{m,m}(R)^*$. We also find all modular invariant partition functions for $su(2)\oplus u(1)^m$, from which we obtain the classification of all N=2 superconformal minimal models. The `A-D-E classification' of these, though often quoted in the literature, turns out to be a very coarse-grained one: e.g. associated with the names $E_6,E_7,E_8$, respectively, are precisely 20,30,24 different partition functions. As a by-product of our analysis, we find that the list of modular invariants for su(2) lengthens surprisingly little when commutation with T -- i.e. invariance under $\tau \mapsto \tau+1$ -- is ignored: the other conditions are far more essential.

Abstract:
In this paper we find all permutations of the level k weights of the affine algebra A_r^{(1)} which commute with both its S and T modular matrices. We find that all of these are simple current automorphisms and their conjugations. Previously, the A_{r,k}^{(1)} automorphism invariants were known only for r=1,2 \forall k, and k=1 \forall r. This is a major step toward the full classification of all A_{r,k}^{(1)} modular invariants; the simplicity of this proof strongly suggests that the full classification should be accomplishable. In an appendix we collect some new results concerning the A_{r,k}^{(1)} fusion ring.

Abstract:
Thus far in the search for, and classification of, `physical' modular invariant partition functions $\sum N_{LR}\,\c_L\,\C_R$ the attention has been focused on the {\it symmetric} case where the holomorphic and anti-holomorphic sectors, and hence the characters $\c_L$ and $\c_R$, are associated with the same Kac-Moody algebras $\g_L=\g_R$ and levels $k_L=k_R$. In this paper we consider the more general possibility where $(\g_L,k_L)$ may not equal $(\g_R,k_R)$. We discuss which choices of algebras and levels may correspond to well-defined conformal field theories, we find the `smallest' such {\it heterotic} (\ie asymmetric) partition functions, and we give a method, generalizing the Roberts-Terao-Warner lattice method, for explicitly constructing many other modular invariants. We conclude the paper by proving that this new lattice method will succeed in generating all the heterotic partition functions, for all choices of algebras and levels.

Abstract:
A natural first step in the classification of all `physical' modular invariant partition functions $\sum N_{LR}\,\c_L\,\C_R$ lies in understanding the commutant of the modular matrices $S$ and $T$. We begin this paper extending the work of Bauer and Itzykson on the commutant from the $SU(N)$ case they consider to the case where the underlying algebra is any semi-simple Lie algebra (and the levels are arbitrary). We then use this analysis to show that the partition functions associated with even self-dual lattices span the commutant. This proves that the lattice method due to Roberts and Terao, and Warner, will succeed in generating all partition functions. We then make some general remarks concerning certain properties of the coefficient matrices $N_{LR}$, and use those to explicitly find all level 1 partition functions corresponding to the algebras $B_n$, $C_n$, $D_n$, and the 5 exceptionals. Previously, only those associated to $A_n$ seemed to be generally known.

Abstract:
A complete classification of the WZNW modular invariant partition functions is known for very few affine algebras and levels, the most significant being all levels of SU(2), and level 1 of all simple algebras. In this paper we solve the classification problem for SU(3) modular invariant partition functions. Our approach will also be applicable to other affine Lie algebras, and we include some preliminary work in that direction, including a sketch of a new proof for SU(2).

Abstract:
The complete classification of WZNW modular invariant partition functions is known for very few affine algebras and levels, the most significant being all levels of $A_1$ and $A_2$ and level 1 of all simple algebras. Here, we address the classification problem for the nicest high rank semi-simple affine algebras: $(A_1^{(1)})^{\oplus_r}$. Among other things, we explicitly find all automorphism invariants, for all levels $k=(k_1,\ldots,k_r)$, and complete the classification for $A_1^{(1)}\oplus A_1^{(1)}$, for all levels $k_1,k_2$. We also solve the classification problem for $(A_1^{(1)})^{\oplus_r}$, for any levels $k_i$ with the property that for $i\ne j$ each $gcd(k_i+2,k_j+2)\leq 3$. In addition, we find some physical invariants which seem to be new. Together with some recent work by Stanev, the classification for all $(A^{(1)}_1)^{\oplus_r}_k$ could now be within sight.