We present a synthesis of the Onto-semiotic Approach (OSA) theoretical system to mathematical knowledge and instruction, while highlighting the problems, principles and research methods that are addressed in this approach and considering the didactics of mathematics as a scientific and technological discipline. We suggest that Didactics should…

The Models and Modeling Working Group at PME-NA has provided a forum for discussing and collaborating on projects fundamental to research on mathematical modeling since the first PME-NA conference in 1978. We propose to convene this Working Group at PME-NA 41 with a dual purpose: (1) to build on a theme begun in Greenville, holding a focused…

Academics are increasingly required to balance the expectations of the 'old' academy with a future model of universities as interdisciplinary and transdisciplinary 'problem solvers'. This paper highlights changing expectations of academics in producing alternative research outcomes in collaborative, practice-based research. Through a series of…

One of the "hottest" topics in the educational measurement community in the past decade has been the assessment of 21st century skills. This special issue demonstrates work being performed in this realm. The present article provides a context for the four primary articles that follow and a brief but broad view of some models of 21st…

A cohort program to increase retention of under-represented groups in chemistry was developed at the College of Saint Benedict/Saint John's University. In particular, this program chose to emphasize early career mentoring and early access to research. This goal was chosen because research has been repeatedly shown to increase scientific identity…

The Distributed Drug Discovery (D3) program trains students in three drug discovery disciplines (synthesis, computational analysis, and biological screening) while addressing the important challenge of discovering drug leads for neglected diseases. This article focuses on implementation of the synthesis component in the second-semester…

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…

This brief describes the technology transfer (TT) and knowledge translation (KT) work of Dr. Gregg Vanderheiden and the Trace Research & Development Center. The Trace Research & Development Center at the University of Wisconsin-Madison was established in 1971 with the development of an early augmentative communication system, which was…

As knowledge for competitive advantage develops beyond the transfer of simple data and information to focus on knowledge that has meaning, values, purpose and a more integrated aspect, higher education is required to graduate students able to operate in a more worldly manner across disciplines. Government's response to this need has been to demand…

Intervention integrity or adherence describes qualities of carrying out an intervention plan and in research is fundamentally linked to experimental validity questions addressed by measurement of independent and dependent variables. Integrity has been well described in conceptual writing but has been a continuing thorny subject in research and…

We describe the difficulties that advanced undergraduate and graduate students have with quantum measurement within the standard interpretation of quantum mechanics. We explore the possible origins of these difficulties by analyzing student responses to questions from both surveys and interviews. Results from this research are applied to develop…

The use of a classroom observation tool to monitor differentiation strategies is described, and relevant research findings using the form are reported. The advantages for using this approach to document differentiation are discussed as are the reasons teachers may question its intent. Applications for practice include its use as a self-assessment…

The reaction that occurs when Mentos are added to bottled soft drinks has become a staple demonstration in earth science courses to explain how volcanoes erupt. This paper presents how this engaging exercise can be used in a marketing research course to provide hands-on experience with problem formation, hypothesis testing, and causal research. A…

Many approaches to instruction focus on helping people learn to recognize "the old in the new"--to turn what would otherwise be novel problems into familiar patterns that can be solved efficiently through the reuse of prior learning. Instruction that leads to efficient transfer is important, but it can also promote what we call "overzealous"…

A significant issue mathematics instructors face is how to cover all the material. Mathematics teachers of all levels have some external and internal pressures to "get through" all the required material. The authors define "the coverage issue" to be the set of difficulties that arise in attempting to cover a lengthy list of topics. Principal among…