This paper presents the findings of a study involving 16 undergraduate students enrolled in a basic financial mathematics course. The study aimed to examine the nature of the students' problem-posing and problem-solving products and processes, as well as the interactions between the two. The findings revealed that the majority of the posed…

Since the content of the Theory of Interest course in an actuarial science program is tied to an external exam, instructors may be hesitant to attempt to use inquiry-based learning. In this paper, I outline how and why I did so, including descriptions of the materials that I wrote. I found that student performance on the final exam improved…

What could two people stand to gain from sharing a taxi ride? We aimed to explore the extent to which this challenging yet accessible financial context might stimulate students' mathematical exploration of multiplicative thinking and proportional reasoning. Through teaching experiment methodology, data were collected from 37 Year 5 and 6 students…

Many teachers labor to distinguish between productive and unproductive struggle; they believe that struggle is productive when it engages students in thinking and communicating metacognitively, which is when students think and communicate about their problem-solving processes, strategies, challenges, and successes. One method that helps ensure…

There have been many recent policy and program changes in K-12 education across the United States, particularly in area of mathematics. Changes, such as the Common Core State Standards for Mathematics and standards-aligned year-end summative assessments, require an increase in student-centered, cognitively demanding activities in the classroom.…

A large and growing body of research supports the view that the small-group learning structure can be an effective tool to enhance student performance and encourage innovative problem solving. This paper explains in detail how the framework of the popular television reality show Survivor has been adapted to form a vehicle for a college level group…

The Real Business Language Challenge was a collaborative pilot project between Coca-Cola Enterprises (CCE) and Routes into Languages East for Year 9 and 10 pupils. It was based on CCE's award-winning Real Business Challenge, part of its highly acclaimed education programme. The Real Business Language Challenge transformed the project into a…

This paper reports the findings of research into an educational intervention featuring open-ended mathematical problems situated in "real life" contexts and associated pedagogies. "Money and financial mathematics" is the topic in focus, with tasks termed "financial dilemmas" being trialled by 35 teachers in 16…

This article focuses on the potential relevance of mathematical conceptions to justice-oriented teaching. The authors believe that culturally responsive mathematics teaching requires the holding of high expectations for students' engagement in critical thinking abilities by respecting their backgrounds and engaging their contemplation and analysis…

In this chapter, the authors illustrate on mathematical problem-solving activities within families how the functions and structures of their mathematics at home are dependent on values, and how interacting values during problem situations came to shape what counted as solutions. These values examples from family math illustrate the complex…

These proceedings contain the papers of the 16th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2019), held during November 7-9, 2019, which has been organized by the International Association for Development of the Information Society (IADIS) and co-organised by University Degli Studi di Cagliari, Italy.…

Although the theoretical benefits of feedback are generally well established, in practice those benefits can be less than clear. This is particularly the case on shorter courses, where students have limited scope to integrate feedback into future assessment performance. If we accept that one of the key purposes of feedback is to encourage students…

To succeed in college, career and life in the 21st century, students must be supported in mastering both content and skills. This Implementation Guide presents state leaders, policymakers and/or district and school leaders with assessment tactics and examples to assist in statewide 21st century skills initiatives. The Partnership for 21st Century…

The author taught two sections of Principles of Finance in two different years. The courses were identical, except that in the second section, in 2004, students had access to the solutions manual for the answers to the many assigned practice problems which constituted a large proportion of the exam material. The author found that student…

Described is a Kernel Design, used in the multiunit Discovery School in Mansfield, Ohio, to improve a general weakness in the areas of measurement and the use of monetary skills. Kernel Design is so named because it conveys the gist or core of an idea. (Author/TG)