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Cramer, Kathleen; Ahrendt, Sue; Monson, Debra; Wyberg, Terry; Miller, Christine – Investigations in Mathematics Learning, 2017
Researchers collaborated with a team of third-grade teachers in an urban district in the Upper Midwest to examine misunderstandings among students when using the number line as a model for fractions. Researchers looked closely at how the number line can be used as a model to build meaning for fractions for third-grade students. This article…
Descriptors: Elementary School Students, Grade 3, Elementary School Mathematics, Mathematics Instruction
Casey, Stephanie; Lesseig, Kristin; Monson, Debra; Krupa, Erin E. – Mathematics Teacher Education and Development, 2018
This study examined proposed teacher responses to students' work to investigate how they respond, what characteristics of a good response are more difficult than others to achieve, and whether particular student error types are more difficult to respond to appropriately. Sixteen preservice secondary mathematics teachers' proposed responses to five…
Descriptors: Secondary School Mathematics, Preservice Teacher Education, Preservice Teachers, Equations (Mathematics)
Cramer, Kathleen; Ahrendt, Sue; Monson, Debra; Wyberg, Terry; Colum, Karen – Teaching Children Mathematics, 2017
The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) outlines ambitious goals for fraction learning, starting in third grade, that include the use of the number line model. Understanding and constructing fractions on a number line are particularly complex tasks. The current work of the authors centers on ways to successfully…
Descriptors: Common Core State Standards, Mathematics Instruction, Fractions, Numbers