This report is based on an activity completed by 89 Grade 6 students carrying out a statistical investigation with a focus on posing an initial question given a context and then refining it for a chosen data set. Having reached a conclusion based on evidence from their data analysis, students were given additional information on the context and…

Paper folding, or origami in Japanese, is a traditional craft that has been enjoyed by both children and adults for hundreds of years. Mathematicians have long studied the mathematics of paper folding. They use square papers to construct mathematical shapes (for example, folding an equilateral triangle from a square paper or trisecting an angle),…

Being able to characterize the size of raindrops is useful in a number of fields including meteorology, hydrology, agriculture and telecommunications. Associated with this article are data sets containing surface (i.e. ground-level) measurements of raindrop size from two different instruments and two different geographical locations. Students may…

All children are born with the gifts of curiosity and creativity--and an insatiable appetite for asking questions to find out about the world in which they live. Fostering these questions and developing inquisitive and investigating minds is one of the essential roles of parent and teacher, and the processes of enquiry are the necessary routes for…

"A Framework for K-12 Science Education" identifies eight science and engineering practices for K-12 classrooms. These practices, along with core ideas and crosscutting concepts, define the nation's learning goals for science. The practices outlined in the framework are: (1) Asking questions and defining problems; (2) Developing and using models;…

The author presents the science and engineering practices from the recently released "A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas." He recognizes the changes implied by the new framework, and eventually a new generation of science education standards will present new perspectives for the science…

The primary concern in current interaction design is focused on how to help users solve problems and achieve goals more easily and efficiently. While users' sufficient knowledge acquisition of operating a product or system is considered important, their acquisition of problem-solving knowledge in the task domain has largely been disregarded. As a…

"Watch out, the stove will burn you," "Ooh, ice cream headache!" Students construct their conceptions about heat and temperature through their own intuitions about daily life experiences. As a result, misconceptions can be born from these constructed concepts. The activity described here addresses student misconceptions about thermal insulation…

A simplified model of an industrially relevant fluid-particle flow system is analyzed using linear stability theory. Instabilities of the uniform state of a fluidized bed are investigated in response to small flow perturbations. Students are expected to perform each step of the computational analysis, and physical insight into key mechanistic…

Effective problem solving depends on adopting the appropriate frame of reference to guide the search for solutions. If the problem is mislabeled or the wrong frame of reference used, the chances for success are lower. (SK)

Numerous investigations show that most school science teaching, in Spain and elsewhere, implicitly transmits an inductivist and very stereotyped view of science and conveys an unrealistic image of scientific work. We present some results of an investigation with fourth-level Spanish secondary education students (15 year olds) who were taught…

A new model for problem solving is broken down into four overlapping and interactive processes: Problem Posing, Problem Approach, Problem Solutions, and Communication. Figures illustrate the skills used in this new image of science problem solving, and a ninth-grade science investigation employing the processes is described. (LZ)

Discusses the inherent flaws in considering and using the epistemology of the natural sciences as equivalent to a pedagogic basis for teaching and learning in the natural sciences. Discusses the difference between practicing science and learning to practice science. Concludes with the presentation of three new motives for the use of laboratory…

Students nearing high school graduation need more than the skills and information given them in the past 12 years; they also need to know "how" to learn. The Senior Seminar, which is a program offering a semester of interdisciplinary experiential learning, teaches students to become independent, self-directed learners by first presenting…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…