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Articles 1 - 7 of 7
Full-Text Articles in Education
A Mathematical Model Of Pancreatic Cancer Growth And Response To Treatment, Allison Cruikshank
A Mathematical Model Of Pancreatic Cancer Growth And Response To Treatment, Allison Cruikshank
Honors Theses
Pancreatic cancer is one of the leading causes of death due to cancer in the United States. Analyzing the effects of radiation is extremely valuable in determining when a patient is allowed surgical resection, which is, presently, the only potentially curative treatment for pancreatic cancer. This study examines pancreatic tumor growth and shrinkage to predict tumor response and change of resectability for pancreatic cancer patients undergoing radiation therapy. This is done using ordinary differential equations as a mathematical model. Mathematical models have increasingly been applied to various biological systems/processes to analyze the principles involved. In our project, a population dynamical …
Elementary Preservice Teachers’ Perceptions Of Modeling As A Tool For Instruction, Ginger S. Watson, Mary Enderson
Elementary Preservice Teachers’ Perceptions Of Modeling As A Tool For Instruction, Ginger S. Watson, Mary Enderson
Teaching & Learning Faculty Publications
As the standards movement continues to gain momentum in U.S. schools, preservice and in-service teachers need greater knowledge in mathematical modeling to engage PK-12 students in such practices. This case-based research study investigated the perceptions and understandings of modeling for 76 entry-level, preservice elementary teachers enrolled in a mathematics methods course at a mid-Atlantic university. Participants were prompted to define modeling and its application to classroom instruction through open-response questions administered in an online survey. A case-based, phenomenological method was used to code and analyze responses. Most preservice teachers expressed a very limited definition or understanding of modeling or how …
Supporting Teachers’ Learning About Mathematical Modeling, June L. Gastón, Barbara A. Lawrence
Supporting Teachers’ Learning About Mathematical Modeling, June L. Gastón, Barbara A. Lawrence
Publications and Research
In the United States, one of the Standards for Mathematical Practice of the Common Core Curriculum (Common Core State Standards Initiative, 2010) is Model with mathematics. This standard requires that students be taught in a manner that will enable them to ―apply the mathematics they know to solve problems arising in everyday life, society, and the workplace‖ (p. 7). However many prospective and practicing teachers acquire a pedagogical style that does not support this standard. To promote higher levels of student thinking associated with mathematical modeling, teachers must thus be taught not only what mathematical modeling is, but how it …
A Primer For Mathematical Modeling, Marla A. Sole
A Primer For Mathematical Modeling, Marla A. Sole
Publications and Research
With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school with the mathematics they will use outside of school. Instructors have found mathematical modeling difficult to teach. To successfully incorporate modeling activities I believe that curricular changes should be accompanied by professional development for curriculum developers, classroom teachers, and higher education professionals. This article serves as an introduction to modeling by …
Affinity Learning In Mathematics, Arthur I. Zygielbaum, Neal Grandgenett
Affinity Learning In Mathematics, Arthur I. Zygielbaum, Neal Grandgenett
Teacher Education Faculty Proceedings & Presentations
Teaching complex subjects such as mathematical modeling is intrinsically challenging. It is more so in a typical classroom setting. In this paper, we explore the use of technology to provide an electronic tutor that interacts with both teacher and student to provide a personalized and focused learning experience. Affinity Learning is an environment that captures the skills of a master teacher in a dynamic but simple technical embodiment and presents lessons and assessments online to a student. Initial results not only indicate that learning has occurred, but also distinguish male from female performance and give interesting insight into the learning …
Mathematical Modeling Within A Technology Based Learning Environment: Some Principles For Adaptive Instruction, Neal Grandgenett, Elliott Ostler, Arthur I. Zygielbaum, Scott Henninger, Char Hazzard
Mathematical Modeling Within A Technology Based Learning Environment: Some Principles For Adaptive Instruction, Neal Grandgenett, Elliott Ostler, Arthur I. Zygielbaum, Scott Henninger, Char Hazzard
Teacher Education Faculty Proceedings & Presentations
This paper describes a set of research based instructional plans being developed by a multidisciplinary team of researchers at the University of Nebraska within a National Science Foundation Proof-of-Concept Grant. The project is seeking to establish a prototype effort for teaching mathematical modeling within a technology based learning environment, which includes components of adaptive instruction for the student. Seven curriculum based design principles for the adaptive instruction that are being followed in the development of the project are described in the paper as they relate to research on effective mathematics instruction, and in particular the enhancement of mathematical modeling activities.
Using Web Pages To Teach Mathematical Modeling: Some Ideas And Suggestions, Elliott Ostler, Neal Grandgenett
Using Web Pages To Teach Mathematical Modeling: Some Ideas And Suggestions, Elliott Ostler, Neal Grandgenett
Teacher Education Faculty Proceedings & Presentations
Mathematical modeling can perhaps be best defined as “the process of scientific inquiry” for mathematics. This is obviously a comfortable mode for teachers of science, but is rarely seen in the mathematics classrooms of today. This paper explores the possibilities of using interactive web pages to help facilitate an understanding of practical applications based mathematics. Because the scientific process is emphasized as the general operating framework, situations where students can hypothesize and experiment, and create data tables are most valuable. Special emphasis is placed on the fact that students and teachers both need to re-conceptualize effective mathematics instruction in order …