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Defining and Measuring Mathematical ...

Sprague, Lauren N.

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Defining and Measuring Mathematical Reasoning.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Defining and Measuring Mathematical Reasoning./
作者:	Sprague, Lauren N.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2022,
面頁冊數:	67 p.
附註:	Source: Masters Abstracts International, Volume: 84-03.
Contained By:	Masters Abstracts International84-03.
標題:	Psychology. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29063771
ISBN:	9798841774501

Defining and Measuring Mathematical Reasoning.
Sprague, Lauren N.

Defining and Measuring Mathematical Reasoning. - Ann Arbor : ProQuest Dissertations & Theses, 2022 - 67 p.

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

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

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.

ISBN: 9798841774501Subjects--Topical Terms:

519075
Psychology.
Subjects--Index Terms:

Geometry proof

Defining and Measuring Mathematical Reasoning.
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