Decennial Redistricting: Rich Mathematics in Context
Redistricting can provide a real-world application for use in a wide range of mathematics classrooms.
Redistricting can provide a real-world application for use in a wide range of mathematics classrooms.
This study explores what students understand about enzyme–substrate interactions, using multiple representations of the phenomenon. In this paper we describe our use of the 3 Phase-Single Interview Technique with multiple representations to generate cognitive dissonance within students in order to uncover misconceptions of enzyme–substrate interactions. Findings from 25 student interviews are interpreted through the lens of multiple theoretical frameworks, including personal constructivism and coherence formation.
This study explores what students understand about enzyme–substrate interactions, using multiple representations of the phenomenon. In this paper we describe our use of the 3 Phase-Single Interview Technique with multiple representations to generate cognitive dissonance within students in order to uncover misconceptions of enzyme–substrate interactions. Findings from 25 student interviews are interpreted through the lens of multiple theoretical frameworks, including personal constructivism and coherence formation. The importance of classroom teachers engaging students in dialogue about representations is discussed.
The goal of this project was to create an inquiry activity to teach symmetry elements and symmetry operations in an inorganic chemistry course. Many students experience difficulty when building and mentally manipulating three-dimensional mental models from two-dimensional images, causing difficulty when learning symmetry. Process-oriented, guided-inquiry learning (POGIL) was used to structure the activity using a learning cycle paradigm consistent with research on how students learn as described by Novak’s human constructivism theory. The activity familiarized students with symmetry terms as students actively engaged in finding symmetry operations in a variety of molecules. The symmetry activity was classroom tested and student and POGIL expert feedback were used to improve the activity.
Digital pen-and-paper technology, although marketed commercially as a bridge between old and new notetaking capabilities, synchronizes the collection of both written and audio data. This manuscript describes how this technology was used to improve data collection in research regarding students’ learning, specifically their understanding of enzyme-substrate interactions as depicted in textbook representations. Students were
provided this technology during individual interviews and were permitted to annotate multiple representations of enzymes and substrates, as well as to generate their own representations. The ability to digitally revisit the sequential student drawings was
valuable in analysis of the research findings. Innovative and novel uses for this technology are discussed for both discipline-based education research and classroom practice.
This volume reflects upon how learners engage in the processes of problem solving and critical thinking by exploring the critical theories that undergird these processes; and this chapter introduces practitioners of educational technology to the contents of the book. The discourse of this text relates criticism and PBL to current trends in educational research. In addition to the broader context of the volume, this first chapter quickly summarizes the content of each remaining chapter. This text puts forward criticism as a lens for viewing the work that educators do, in terms of instructional design as well as the assessment of those activities. The result is learning that reflects more successfully the needs of our society: critical-thinking abilities and problem-solving skills.
This chapter concludes The role of criticism in understanding problem solving. In it, the overall message of the book—that criticism and critical theories can serve to aid critical reading and synthesis of the educational technology research literature—is summarized. One of the strengths of the educational technology field is its interdisciplinarity. As students enter the field from many different academic disciplines, they should be encouraged to apply not just the content of their former disciplines but also the strategies of and frameworks for thinking about problems.
Problem solving is an important skill in the knowledge economy. Research indicates that the development of problem solving skills works better in the context of instructional approaches centered on real-world problems. But students need scaffolding to be successful in such instruction. In this paper I present a conceptual framework for understanding the effects of scaffolding. First, I discuss the ultimate goal of scaffolding—the transfer of responsibility—and one way that scholars have conceptualized promoting this outcome (fading). Next, I describe an alternative way to conceptualize transfer of responsibility through the lens of distributed cognition and discuss how this lens informs how to promote transfer of responsibility. Then I propose guidelines for the creation of problem solving scaffolds to support transfer of responsibility and discuss them in light of the literature.
The concept of criticism as a tool for research, although well established in other educational research traditions, is not well established in the domain of Educational Technology. This book changes all that by substantiating criticism as a way to step back and critically evaluate an educational intervention within educational technology. Doing so provides an valuable approach for researchers in terms of guiding meta analyses and theoretical studies, preventing the proverbial "spinning of the wheels" that often happens in educational research.
Enzyme function is central to student understanding of multiple topics within the biochemistry curriculum. In particular, students must understand how enzymes and substrates interact with one another. This manuscript describes the development of a 15-item Enzyme–Substrate Interactions Concept Inventory(ESICI) that measures student understanding of enzyme–substrate interactions. The validity and reliability of ESICI data were established through multiple methods. Results from the administration of the ESICI to biochemistry students across the United States (N = 707) are discussed in terms of instrument quality. The manuscript concludes with suggestions for how to use the ESICI for both teaching and biochemistry education research.
The Discovery Research K-12 (DR K-12) Program of the National Science Foundation (NSF) supports research and development (R&D) on innovative resources, models, and tools for use by students, teachers, administrators, and policy makers. Each project has formative and summative evaluation, which are different from the project’s own R&D activities and instead should support and measure the effectiveness of those activities.
Evaluation options for investigators and evaluators to consider could include the following:
Each DR K-12 project has formative and summative evaluation, which are different from the project’s own R&D activities and instead should support and measure the effectiveness of those activities. This paper discusses evaluation options for investigators and evaluators to consider. Read the full paper for a description of these options.