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Full-Text Articles in Science and Mathematics Education
Developing & Describing The Use & Learning Of Conceptual Models For Integer Addition And Subtraction Of Grade 5 Students, Nicole Marie Wessman-Enzinger
Developing & Describing The Use & Learning Of Conceptual Models For Integer Addition And Subtraction Of Grade 5 Students, Nicole Marie Wessman-Enzinger
Theses and Dissertations
This dissertation reports the results of a teaching experiment, which explored student thinking about integer addition and subtraction. Through the lens of commognitive theory (Sfard, 2008), interpreting negative integers as secondary intuitions (Fischbein, 1987), and employing teaching experiment methodology (Steffe & Thompson, 2000), this study was a first step in developing more robust descriptions of students' conceptual models for integer addition and subtraction. I investigated: (a) the conceptual models that students exhibited, (b) the various ways that students utilized conceptual models while learning about the addition and subtraction of integers, and (c), the ways that students' conceptions evolved over the …
Investigating Children's Intuitive And Analytical Thinking About Path Length As A Developmental Phenomenon, Cheryl Lynn Eames
Investigating Children's Intuitive And Analytical Thinking About Path Length As A Developmental Phenomenon, Cheryl Lynn Eames
Theses and Dissertations
Children's conceptions of length measurement has been the focus of research that has built on the work of Piaget and his colleagues to produce developmental accounts for the acquisition of conceptual and procedural knowledge. Prior research focused on children's developing conceptions of length measurement for straight or rectilinear paths; however, little is known about how these conceptions grow beyond the elementary grades. The present study increased the scope of this research beyond elementary grades to include middle and secondary level students, exploring the development of students' intuitive and analytical thinking for determining the length of a curved path across a …