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Full-Text Articles in Education
Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling
Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling
Mathematics and Statistics Faculty Publications and Presentations
In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other types of knowledge. The authors share results of individual research projects and teaching approaches focusing on helping preservice elementary teachers develop such knowledge. Specific examples from different content areas (whole number, fractions, angle, and area) are discussed.
Investigating Further Preservice Teachers’ Conceptions Of Multidigit Whole Numbers: Refining A Framework, Eva Thanheiser
Investigating Further Preservice Teachers’ Conceptions Of Multidigit Whole Numbers: Refining A Framework, Eva Thanheiser
Mathematics and Statistics Faculty Publications and Presentations
This study was designed to investigate preservice elementary school teachers’ (PSTs’) responses to written standard place-value-operation tasks (addition and subtraction). Previous research established that PSTs can often perform but not explain algorithms and provided a four-category framework for PSTs’ conceptions, two correct and two incorrect. Previous findings are replicated for PSTs toward the end of their college careers, and two conceptions are further analyzed to yield three categories of incorrect views of regrouped digits: (a) consistently as 1 value (all as 1 or all as 10), (b) consistently within but not across contexts (i.e., all as 10 in addition but …