We are frequently told that Hong Kong has a model system for learning mathematics. In this article Daniela Vasile notes one short-coming in that the pupils are not taught to problem-solve. She begins with a new class by asking them to write down the craziest equation they can come up with and bases her whole lesson, and the following homework,…

The opportunities for meaningful classroom learning activities are everywhere. In this article, we explain some of the little known, widespread, horrific issues associated with one aspect of the pet trade. By the time they reach high school age, many students have personally experienced the end result of the deplorable business practices on which…

Martin Gardner wrote about a coin-flipping trick, performed by a blindfolded magician. The paper analyses this trick, and compares it with a similar trick using three cups flipped in pairs. Several different methods of analysis are discussed, including a graphical analysis of the state space and a representation in terms of a matrix. These methods…

How many ways may one climb an even number of stairs so that left and right legs are exercised equally, that is, both legs take the same number of strides, take the same number of total stairs, and take strides of either 1 or 2 stairs at a time? We characterize the solution with a difference equation and find its generating function.

Spatial reasoning, a crucial skill for everyday actions, develops gradually during the first several years of childhood. Previous studies have shown that perceptual information and problem solving strategies are critical for successful spatial reasoning in young children. Here, we sought to link these two factors by examining children's use of…

This paper describes a forward approach to an inverse problem related to detecting the nature of geological substrata which makes use of optimization techniques in a multivariable calculus setting. The true nature of the related inverse problem is highlighted. (Contains 2 figures.)

In this article we present and discuss experiences developed through a dialogue conference which we organised as part of a three-year participatory action research project related to primary education and agricultural education in Tanzania. We explore how dialogue conference as a research method can fill a gap between traditional ways of mutual…

With the adoption of the Common Core State Standards for Mathematics (CCSSM), many teachers are changing their classroom structure from teacher-directed to student-centered. When the author began designing and using problem-based tasks she saw a drastic improvement in student engagement and problem-solving skills. The author describes the Cake…

Within the context of the telecom industry, this teaching case is an active learning analytics exercise to help students build hands-on expertise on how to utilize Big Data to solve a business problem. Particularly, the case utilizes an analytics method to help develop a customer retention strategy to mitigate against an increasing customer churn…

Experiential learning alone does not guarantee that students will accurately conceptualize content, or meet course outcomes in subsequent active experimentation stages. In an effort to more effectively meet learning objectives, the experiential learning cycle was modified with a unique combination of the 5 Whys root cause problem-solving tool and…

This case study, one of a series of publications exploring effective and inclusive models of work-based learning, finds that entry-level occupations in manufacturing have historically been considered unskilled jobs for which little or no training is necessary. As a consequence, employers have experienced high turnover among new-hires, and…

Grading can be accelerated to make time for more effective instruction. This article presents specific time management strategies selected to decrease administrative time required of faculty and teaching assistants, including a multiple answer multiple choice interface for exams, a three-tier grading system for open ended problem solving, and a…

In this article, we present a proposal for fostering learning in the management classroom through the use of student-produced video assignments. We describe the potential for video technology to create active learning environments focused on problem solving, authentic and direct experiences, and interaction and collaboration to promote student…

Strictly teaching algorithms or procedural computations can "encourage children to give up their own thinking" (Kamii and Dominick 1998). Although such procedures are valid for finding solutions, students often know only how to use them, and they lack the understanding of why a procedure works. In 2001, the National Research Council…

This paper describes a unique integrative business case appropriate for use in a managerial accounting course or other business courses related to economics or marketing. The case describes a scenario in which a managerial accountant is assisting in business decisions relating to factors influencing the profitability of a small manufacturing…