Healthy lifestyles are increasingly emphasized these days. This month the authors begin a series of mathematical problems that also address physical activity. They hope that these problems offer opportunities to investigate mathematics and also reinforce the desire to lead a healthy life. In their first problem of the academic year, students…

Using a nonroutine problem can be an effective way to encourage students to draw on prior knowledge, work together, and reach important conclusions about the mathematics they are learning. This article discusses a problem on the mathematical preparation of chocolate milk which was adapted from an old book of puzzles (Linn 1969) and has been used…

How do mathematics teachers introduce the concepts of slope, rate of change, and steepness in their classrooms? Do students understand these concepts as interchangeable or regard them as three different ideas? In this article, the authors report the results of a study of high school Advanced Placement (AP) Calculus students who displayed…

There is clear and widespread agreement among the public and educators that all students need to be proficient technology users. Technology literacy is among the attributes that appear in nearly every set of "21st Century Skills." However, while districts spend a great deal of money on technology, there seems to be only a vague notion of what…

During the past 6 years, the authors have worked and interacted with twice-exceptional middle school students as well as with their parents at an annual residential summer camp. Through surveys and interviews with the parents and their children, the difficulties that twice-exceptional students encounter at school emerged. Furthermore, parents'…

For the forty-second time, the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented at the annual AECT Convention in Las Vegas, Nevada. The Proceedings of AECT's Convention are published in two volumes. Volume 1 contains papers dealing…

Students in Basic schools in Ghana manifest diverse learning needs, which require innovative approaches to enable them to succeed in learning activities. The paper is part of a larger study conducted in Ghana, which used a range of data collecting methods including questionnaires, interviews with teachers and focus groups of below average…

We report on a German-Indonesian design research project, which aims to significantly increase the mathematical skills of secondary school students. Since results of international comparative studies have shown that there exists a relationship between metacognition and learning success, a learning environment for the beginning with secondary…

Learn the 5 practices for facilitating effective inquiry-oriented classrooms: (1) Anticipating what students will do--what strategies they will use--in solving a problem; (2) Monitoring their work as they approach the problem in class; (3) Selecting students whose strategies are worth discussing in class; (4) Sequencing those students'…

In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulations of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. In the The Xs and Whys of Algebra: Key…

In the natural world, learning emerges from the joy of play, experimentation, and inquiry as part of everyday life. However, this kind of informal learning is often difficult to integrate within structured educational curricula. This report describes an educational program that embeds naturalistic learning into formal high school, college, and…

How can teachers be helped, at relatively little expense, to improve their professional practice? This problem was addressed in "Improving Formative Assessment in Vocational Education and Adult Literacy, Language and Numeracy Programmes"--the IFA project. Adopting a specific problem-based methodology as part of an action research…

Surveys that focused on academic and life skill development were collected from alumni who attended Avalon Charter School in St Paul, Minnesota. Avalon is a small public charter school that uses project-based learning as their primary teaching method. Forty-two alumni responded to the online survey. Students ranked life skills such as creativity,…

This study concentrates on analysing university students' pre-knowledge of thermal physics. The students' understanding of the basic concepts and of the adiabatic compression of an ideal gas was studied at the start of an introductory level course. A total of 48 students participated in a paper-and-pencil test, and analysis of the responses…

In this article, the classic problem of finding three ways to determine the probability that the pieces of a stick randomly broken in two places will form a triangle is analyzed anew. To be useful in the classroom, an application must be incorporated into an often-crowded curriculum. What is nice about this triangle problem is that it fits in…