Description: This article studies the syllabus as a dynamic, interactive teaching tool that informs and is informed by both solutions of complex course problems and student difficulties with these problems.

Description: Learning excellence is of value to both candidates and credentialed actuaries learning new areas. Learning mastery and excellence requires 1) use of executive function (EF), multiple brain areas, for example, verbal, formal (algebraic), computational, and geometric (rule of four), and 2) goal-setting, skillful breaking down of complex tasks into subtasks each of which are simultaneously 2a) clear and specific, 2b) achievable in a short time and 2c) challenging. 10 examples are presented illustrating use of the "rule of four" to achieve elegant solutions to otherwise complex problems as well as goal setting using fellowship-exam approaches, approaches to multi-component problems, and skillful use of databases as visual organizers. The material reflects a new approach to learning complexity that is easier to use than the pedagogic hierarchies and unifies them.

Description: Traditionally the SOA formulates pedagogic excellence in terms of the Marzano Taxonomy. For example, the "analysis level" consisting of generalization, specification, classification, contrast, matching, and error identification, is considered superior to the "retrieval level" consisting of rote memorization such as recognition, recall, and using. In this presentation, we first show that pedagogic excellence can be equivalently, but more simply, formulated in terms of executive function and goal-setting. Here executive function refers to problems requiring multiple mental modalities - such as, formal, verbal, computational, and graphical - for their solution. Goal-setting refers to the skillful breakup of a complex problem into a sequence of subgoals each of which is clearly formulated, challenging, but achievable timely. Light examples from the literature illustrate these concepts. Five "challenging FM problems": reinvestment, refinancing, multiple rate/deposit problems, pricing deferred bonds using a term structure, and obscure loan problems, illustrate the following fundamental techniques of goal-setting and executive function: i) a fellowship approach to teaching preliminary exam material, ii) using subgoals to give difficult homework, iii) alternating between different mental modalities to achieve elegant brevity in solutions, iv) goal-setting reflecting familiar vs. new, and v) skillful definition of unit subgoals.

Description: The basic thesis of this paper is that student capability to iNteract with new problems can be significantly increased by frequently exposing them to Written derivations, verbal-Intuitive justification of formulae and core sets of Comprehensive techniques by which to approach problems. Both instructor composition of problem resources for presentation and student practice of these problem resources can be achieved by semi-mechanical procedures accessible to everyone. For brevity we shall refer to this type of instruction by the acronym WINC. Presented at the 30th Actuarial Research Conference, August 17-19, 1995, Pennsylvania State University, Pennsylvania