Estimation's Role in Calculations with Fractions

Johanning, Debra I.

doi:10.5951/mathteacmiddscho.17.2.0096

MTMS

2011

DOI: 10.5951/mathteacmiddscho.17.2.0096

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Estimation's Role in Calculations with Fractions

Debra I. Johanning¹

Abstract: See how students use number sense and also algorithm sense as tools to develop their understanding of fraction operations.

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2023

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A Framework for Assessing Students' Written Explanations of Numerical Reasoning

Quebec Fuentes,

Crawford,

Rowe

et al. 2023

Advances in Library and Information Science

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Disciplinary writing in mathematics supports the use of words, symbols, and visual representations, allowing one to communicate more fully in writing than through speech alone. This chapter explores the disciplinary writing of 394 fourth-grade students who shared their numerical reasoning in written explanations to seven whole-number and fraction comparison tasks. Data were collected via whole group administration procedures and students' explanations were scored using a validated framework for evaluating numerical reasoning. Results include descriptive statistics and qualitative analyses of student responses using the framework's five categories. A difference was found between the types of reasoning students shared for whole-number tasks versus those shared for fraction comparison tasks, favoring the incorporation of more conceptual reasoning for whole-number tasks. The framework is a practical and effective tool that teachers can use to examine the depth of student reasoning and disciplinary writing to document such reasoning.

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A Framework for Assessing Students' Written Explanations of Numerical Reasoning

Quebec Fuentes,

Crawford,

Rowe

et al. 2023

Advances in Library and Information Science

View full text Add to dashboard Cite

show abstract

Framework for Evaluating Written Explanations of Numerical Reasoning

Crawford¹,

Fuentes

Huscroft-D’Angelo

et al. 2023

Assessing Disciplinary Writing in Both Research and Practice

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Reasoning in mathematics requires communication as often measured through 1:1 think-alouds. Reasoning can also be measured via disciplinary writing in mathematics, which uses a variety of representations to convey meaning, including mathematical words, abstract symbols, and visuals. This study measured numerical reasoning as conveyed via the written explanations of 417 fourth-grade students. Whole group administration procedures were followed to collect data on reasoning about fraction magnitude. Explanations were scored using a validated framework for evaluating numerical reasoning. Results include descriptive statistics and qualitative analyses of examples across the framework's five categories. Written explanations coded as “conceptual” reflected the richest examples of disciplinary writing in mathematics. Conclusions include the usability of this framework to adequately measure numerical reasoning at the elementary level. Implications include the importance of using formative assessment tools in the classroom.

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Estimation's Role in Calculations with Fractions

Abstract: See how students use number sense and also algorithm sense as tools to develop their understanding of fraction operations.

Cited by 2 publications

References 0 publications

A Framework for Assessing Students' Written Explanations of Numerical Reasoning

A Framework for Assessing Students' Written Explanations of Numerical Reasoning

Framework for Evaluating Written Explanations of Numerical Reasoning

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