Connections in High School Mathematics Textbooks that Support Understanding of Key Features of Graphs of Functions

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dc.contributorJames Dogbey
dc.creatorMalachite, Anna M.
dc.date2016-09-09T20:33:30Z
dc.date2016-09-09T20:33:30Z
dc.date2016-07
dc.descriptionA Thesis Submitted in Partial Fulfillment of the Requirements for MASTER OF SCIENCE in The Graduate Mathematics Program (Curriculum Content Option) from Texas A&M University- Corpus Christi.
dc.descriptionThis study aims to evaluate a particular high school mathematics series of textbooks for its potential to adequately support teachers in emphasizing function-related connections. The investigation was limited to topics surrounding analysis of graphs of functions, specifically, domain and range; minima, maxima, and vertex; slope and increasing or decreasing intervals; and, intercepts and zeros. The chosen textbooks are McGraw-Hill’s Algebra 1, Algebra 2, and Precalculus textbooks with a copyright date of 2016. Each textbook was reviewed in sequential order. Items relating to the topics of interest were placed in a connection category and evaluated for nine different qualities. Data collected about the types of connections and the quality of those items reveals that the chosen textbooks have numerous connections among representations, but fewer connections to the real-world and across disciplines. Furthermore, a greater number of contextual items are included in Algebra 1 and Algebra 2 than in Precalculus. Future investigations may aim to compare the series evaluated in this study to another series of mathematics textbooks. Additionally, teacher interactions with the textbook might provide more useful insights.
dc.descriptionMathematics and Statistics
dc.descriptionCollege of Science and Engineering
dc.identifierhttp://hdl.handle.net/1969.6/691
dc.languageen_US
dc.rightsThis material is made available for use in research, teaching, and private study, pursuant to U.S. Copyright law. The user assumes full responsibility for any use of the materials, including but not limited to, infringement of copyright and publication rights of reproduced materials. Any materials used should be fully credited with its source. All rights are reserved and retained regardless of current or future development or laws that may apply to fair use standards. Permission for publication of this material, in part or in full, must be secured with the author and/or publisher.
dc.subjectDomain
dc.subjectRange
dc.subjectx-intercept
dc.subjecty-intercept
dc.subjectminimum
dc.subjectmaximum
dc.subjectslope
dc.subjectzeros
dc.subjectextrema
dc.subjecttransfer
dc.subjectapplication
dc.subjecthigh school
dc.subjecttextbook
dc.subjectfunctions
dc.subjectgraphs
dc.subjectconnections
dc.subjectreal-world
dc.subjectinterdisciplinary
dc.titleConnections in High School Mathematics Textbooks that Support Understanding of Key Features of Graphs of Functions
dc.typeText
dc.typeThesis

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