Disciplinary Content Knowledge

First Name: 
Jennifer Darrah
Professional Title: 
7th grade Science and Math RtI
Organization/Institution: 
About Me (Bio): 
I'm have returned from working in Panama City, Panama. I am trying to rebuild my science material all over again. I work as a 7th grade science teacher for one general education class and one special needs. I also, am responsible for the middle school math RtI process.
First Name: 
Ala Samarapungavan
Organization/Institution: 
About Me (Bio): 
My research focuses on reasoning and learning in science from childhood through adulthood. I am interested in developmental, cultural, and epistemic aspects of knowledge acquisition in the sciences. I collaborate with public schools in Indiana to help elementary, middle, and high school teachers infuse inquiry into science instruction and to document student learning. I also collaborate with researchers in chemistry, engineering, medicine, and veterinary medicine, on a variety of projects that examine the features of advanced science learning at the college level and beyond. Recently, I have become interested in informal science learning of the kind that occurs from museum field trips. In broad terms, I am interested in how people think and learn in knowledge rich domains. My research focuses on reasoning and learning in science from childhood through adulthood. Within this context, I am interested in several specific research questions: • What is science and how do we engage students in learning / doing science? • What principles and heuristics do people use to evaluate scientific knowledge? • How do people's ideas about the natural world develop and change in the course of formal schooling? • How can people learn to generate and use models of complex physiological systems? My interests in Epistemic Cognition can be traced back to my doctoral research in the 1980s. When I began my doctoral work, the conventional view of young children was that they lacked the cognitive tools (such as the ability to coordinate ideas with evidence) that would allow them to reflect upon, evaluate, and revise scientific ideas. Informed by work in the epistemology of science, the psychology of scientific reasoning, and cognitive development, I embarked upon a program of research to explore children’s developing capacities for epistemic cognition. I explored children’s judgments about what counted as a good or better theory in the context of practical scenarios that drew upon children’s early ideas about how the natural world works. That line of research showed that even young children show an emerging preference for empirically consistent, non-ad hoc, and coherent scientific explanations, when they understand the content of the explanations and when the competing explanations are both plausible based on their prior experience and knowledge. Since then, I have continued to explore aspects of epistemic cognition in children and adults. My recent research has explored the role of content expertise, including methodological expertise, and tacit / informally acquired methodological knowledge, in the epistemic cognition of practicing scientists. This work suggests variations in the epistemic cognition of research scientists as a function of their disciplinary training and expertise. We are currently studying how students develop these more nuance, discipline-specific forms of epistemic cognition through apprenticeship in programs of scientific research.

Blue Heron STEM Education

Organization Type: 
Private Agency

Blue Heron STEM Education provides an array of support for STEM projects, with special emphasis on K-8 curriculum and teacher professional development.

First Name: 
Jennifer Collymore
Professional Title: 
Graduate Student
Organization/Institution: 

Training Teachers in the Effective Mathematical and Pedagogical Uses of Software: Perspectives from the Dynamic Number and Dynamic Geometry in Classrooms Projects

Day: 
Thu

This presentation explores technology training in relation to two DR K-12 projects with a focus on increasing the mathematical and pedagogical content knowledge of teachers.

Date/Time: 
2:00 pm - 4:00 pm
Session Type: 
Panel
Session Materials: 

How can professional development that is focused on technology move beyond the nuts and bolts of the particular tool to a deeper look into the mathematical and pedagogical opportunities afforded by the technology?     This presentation explores technology training in relation to two DR K–12 projects with a focus on increasing the mathematical and pedagogical content knowledge of teachers.

Today's mathematics classrooms contain a variety of technology, from interactive whiteboards to graphing calculators to software like The Geometer's Sketchpad. These technologies are not ends in themselves, but rather a means toward mathematical learning and mathematical excitement. It is all too easy, however, to focus on the nuts and bolts of technology (e.g., How do I attach my whiteboard to a computer? What do these various menu commands do?), especially when teachers have a natural concern for the time commitment and effort it takes to incorporate technology into their mathematics classes. The challenge of professional development is not only to introduce teachers to technology, but also to use that introduction as point of entry for developing teachers’ mathematical understanding and encouraging them to reflect on and improve their instructional practices. Questions that professional development must answer include, How can incorporating technology improve the way students learn mathematics? How can it help students to learn more deeply and communicate more clearly? How can it help them visualize crucial mathematical ideas more vividly? How can it encourage them to explore interesting mathematics in a more independent and self-directed way? 

The Dynamic Number project and The Dynamic Geometry in Classrooms project are two DR K–12 programs that focus on technology—specifically, The Geometer's Sketchpad. The Dynamic Number project is a research and development project undertaken by KCP Technologies to use The Geometer's Sketchpad as a starting point for developing new software tools to deepen students' conceptions of integers, fractions, decimals, real number, and early algebra in grades 2–8. The Dynamic Geometry in Classrooms project is conducting repeated randomized control trials of an approach to high school geometry that uses Sketchpad and supporting instructional materials to supplement instructional practices. It compares effects of that intervention with standard instruction that does not make use of the computer. 

In both projects, it was necessary to design a professional development course and training materials to introduce participating teachers to The Geometer's Sketchpad and to acquaint them with best practices in using the software. This session looks at the methods and materials the two projects employed to train their field-trial teachers. It describes the benefits of online courses, video, message boards, projects, school-year ongoing professional development seminars, campus-level teamwork, and other components of a support system in preparing the teachers to be successful users of the technology. The session examines the challenges shared by both projects and offers suggestions to researchers who are using technology in classrooms as an integral part of their grants. 

First Name: 
Doug Corey
Professional Title: 
Assistant Professor of Mathematics Education
Organization/Institution: 
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