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Tran, Dung; Munro, John – Mathematics Education Research Group of Australasia, 2019
This conceptual paper proposes a model to describe the quality of student dialogue during participative collaborative problem solving. Drawing on the participation metaphor of learning, we argue that the construct of mathematical sophistication is useful to describe the quality. We then present two frameworks, mathematical competencies and…
Descriptors: Cooperative Learning, Problem Solving, Mathematics Instruction, Mathematics Skills
Yee, Sean P. – School Science and Mathematics, 2017
Metaphors are regularly used by mathematics teachers to relate difficult or complex concepts in classrooms. A complex topic of concern in mathematics education, and most STEM-based education classes, is problem solving. This study identified how students and teachers contextualize mathematical problem solving through their choice of metaphors.…
Descriptors: Figurative Language, Mathematics Instruction, Teaching Methods, Mathematical Concepts
Rule, Audrey C. – Online Submission, 2015
"Invention through Form and Function Analogy" is an invention book for teachers and other leaders working with youth who are involving students in the invention process. The book consists of an introduction and set of nine learning cycle formatted lessons for teaching the principles of invention through the science and engineering design…
Descriptors: Intellectual Property, Logical Thinking, Design, Figurative Language
Meyer, Michael – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
This paper focuses on an inferential view on introducing new concepts in mathematics classrooms. A theoretical framework is presented which helps to analyse and reflect on the processes of teaching and learning mathematical concepts. The framework is based on the philosophies by Ludwig Wittgenstein and Robert Brandom. Wittgenstein's language-game…
Descriptors: Inferences, Mathematical Concepts, Concept Formation, Teaching Methods
Oesterle, Susan, Ed.; Allan, Darien, Ed.; Holm, Jennifer, Ed. – Canadian Mathematics Education Study Group, 2017
This submission contains the Proceedings of the 2016 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Queen's University in Kingston, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study…
Descriptors: Mathematics Education, Elementary School Mathematics, Instructional Design, Inquiry
Smith, Kenneth J. – Gifted Child Today, 2014
Research suggests that experts and beginners use qualitatively different writing processes when given the same text to write. Throughout their writing, experts tend to create a network of executive, structural, and content problems that they continually refine and coordinate as they bring the text to fruition. Novices, in contrast, tend to focus…
Descriptors: Problem Solving, Writing Processes, Elementary Education, Writing Skills
Yee, Sean P. – ProQuest LLC, 2012
The purpose of this study was to determine the metaphors used by students to describe mathematical problem solving. This study focused on identifying how students interpret and perceive mathematical problem solving via conceptual metaphors (Lakoff and Johnson, 2003). These perceptions and interpretations were coded and analyzed qualitatively and…
Descriptors: Problem Solving, Figurative Language, Mathematical Concepts, Secondary School Mathematics
Oesterle, Susan, Ed.; Allan, Darien, Ed. – Canadian Mathematics Education Study Group, 2015
This submission contains the Proceedings of the 2014 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Alberta in Edmonton, Alberta. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…
Descriptors: Mathematics Education, Time Management, Mathematics Instruction, Industry