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Problem solving

Science and Mathematics Education

University of Massachusetts Boston

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The Activity Of Abstraction In Physical Chemistry Problem Solving And Instruction, Jessica M. Karch Aug 2021

The Activity Of Abstraction In Physical Chemistry Problem Solving And Instruction, Jessica M. Karch

Graduate Doctoral Dissertations

Productive problem solving, concept construction, and sense making occur through the core process of abstraction. Although the capacity for domain-general abstraction is developed at a young age, the role of abstraction in increasingly complex and disciplinary environments, such as those encountered in undergraduate STEM education, is not well understood. Undergraduate physical chemistry relies particularly heavily on abstraction because it uses many overlapping and imperfect mathematical models to represent and interpret phenomena occurring on multiple scales. To reconcile these models, extract meaning from them, and recognize when to apply them in problem solving requires processes of abstraction. This dissertation aims to …


Teaching Critical And Creative Thinking Skills Through Problem-Solving In High School Mathematics Classes, Daniel L. Albert May 2016

Teaching Critical And Creative Thinking Skills Through Problem-Solving In High School Mathematics Classes, Daniel L. Albert

Critical and Creative Thinking Capstones Collection

I am a high school mathematics teacher who wants students to develop the thought process that allows them to uncover and use the patterns that are the heart of mathematics. Misconceptions belittle the subject, however, and disrupt the progress of my high school students because it disguises the purpose of studying math. My purpose in joining the Critical and Creative Thinking program at the University of Massachusetts Boston was to learn about the skills and methodologies that assist in the teaching and learning of thinking critically and creatively. This paper shows the progress and evolution of my capstone project—a set …