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Defining and Measuring Mathematical Reasoning.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Defining and Measuring Mathematical Reasoning./
Author:	Sprague, Lauren N.
Description:	1 online resource (67 pages)
Notes:	Source: Masters Abstracts International, Volume: 84-03.
Contained By:	Masters Abstracts International84-03.
Subject:	Psychology. -
Online resource:	click for full text (PQDT)
ISBN:	9798841774501

Defining and Measuring Mathematical Reasoning.
Sprague, Lauren N.

Defining and Measuring Mathematical Reasoning. - 1 online resource (67 pages)

Source: Masters Abstracts International, Volume: 84-03.

Thesis (M.S.)--The Florida State University, 2022.

Includes bibliographical references

There is a large body of research on the numerical abilities underlying math achievement, but less is known about mathematical reasoning and its relationship to other math abilities. The present study is the first step of a project with the following goals: 1) Developing a measure of mathematical reasoning, and 2) Assessing the relations between mathematical reasoning and other aspects of math ability. In this study, 74 undergraduates completed a novel Geometry and Number Theory Proof Construction Task designed to measure mathematical reasoning, followed by an algebraic equation solving task and a survey about previous math experience. Cronbach's (1951) alpha was calculated to assess the internal consistency of the measure, and item-level statistics were used to identify some of its weaknesses. Confirmatory Factor Analysis was used to compare the fits of a one factor model and a two-factor model to these data. A hierarchical regression analysis and the first step of a mediation analysis were conducted to evaluate the relations between mathematical reasoning, algebra, and formal math experience. Some evidence was found that the Proof Completion Task measured a single latent Mathematical Reasoning construct. Results provided evidence that Geometry Proof Completion accounts for variance in Algebraic Equation Solving not already explained by Formal Math Experience, suggesting that the type of reasoning used to complete geometry proofs may also generalize to other areas of mathematics.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798841774501Subjects--Topical Terms:

555998
Psychology.
Subjects--Index Terms:

Geometry proofIndex Terms--Genre/Form:

554714
Electronic books.

Defining and Measuring Mathematical Reasoning.
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520 $a There is a large body of research on the numerical abilities underlying math achievement, but less is known about mathematical reasoning and its relationship to other math abilities. The present study is the first step of a project with the following goals: 1) Developing a measure of mathematical reasoning, and 2) Assessing the relations between mathematical reasoning and other aspects of math ability. In this study, 74 undergraduates completed a novel Geometry and Number Theory Proof Construction Task designed to measure mathematical reasoning, followed by an algebraic equation solving task and a survey about previous math experience. Cronbach's (1951) alpha was calculated to assess the internal consistency of the measure, and item-level statistics were used to identify some of its weaknesses. Confirmatory Factor Analysis was used to compare the fits of a one factor model and a two-factor model to these data. A hierarchical regression analysis and the first step of a mediation analysis were conducted to evaluate the relations between mathematical reasoning, algebra, and formal math experience. Some evidence was found that the Proof Completion Task measured a single latent Mathematical Reasoning construct. Results provided evidence that Geometry Proof Completion accounts for variance in Algebraic Equation Solving not already explained by Formal Math Experience, suggesting that the type of reasoning used to complete geometry proofs may also generalize to other areas of mathematics.
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