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Science and Mathematics Education Commons

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Full-Text Articles in Science and Mathematics Education

Mathematics Student Teaching In Japan: A Multi-Case Study, Allison Turley Shwalb Nov 2008

Mathematics Student Teaching In Japan: A Multi-Case Study, Allison Turley Shwalb

Theses and Dissertations

Nearly all research that seeks to assist in reforming mathematics student teaching in the United States has been limited in that it (1) does not consider student teaching models in non-Western cultures, and (2) has not sufficiently studied the unique context of mathematics in student teacher-cooperating teacher interactions. This multi-case study addresses these issues by analyzing the interactions between three cooperating teachers and two student teachers in the mathematics student teaching setting in Japan. Four conclusions are presented to generate a coherent picture of the principles of teaching and learning to teach that are emphasized during this Japanese student teaching …


Student Teacher Knowledge And Its Impact On Task Design, Tenille Cannon Jul 2008

Student Teacher Knowledge And Its Impact On Task Design, Tenille Cannon

Theses and Dissertations

This study investigated how student teachers used their mathematical knowledge for teaching and pedagogical knowledge to design and modify mathematical tasks. It also examined the relationship between teacher knowledge and the cognitive demands of a task. The study relied heavily on the framework in Hill, Ball, and Shilling (2008), which describes the different domains of knowledge in mathematical knowledge for teaching, and the framework on the cognitive demands of mathematical tasks in Stein, Smith, Henningsen, and Silver (2000). Results of the study indicated that the student teachers used their common content knowledge when they lacked sufficient knowledge in other domains, …


Choose Your Words: Refining What Counts As Mathematical Discourse In Students' Negotiation Of Meaning For Rate Of Change Of Volume, Christine Johnson Jul 2008

Choose Your Words: Refining What Counts As Mathematical Discourse In Students' Negotiation Of Meaning For Rate Of Change Of Volume, Christine Johnson

Theses and Dissertations

The purpose of this study is to describe how university honors calculus students negotiate meaning and language for conceptually important ideas through mathematical discourse. Mathematical discourse has been recognized as an important topic by mathematics education researchers of various theoretical perspectives. This study is written from a perspective that merges symbolic interactionism (Blumer, 1969) with personal agency (Walter & Gerson, 2007) to assert that human choice reflects, but is not determined by, meanings that are primarily developed through social interaction. The process of negotiation of meaning is identified, described, and analyzed in the discourse of four students and their professor …


Similar But Different: The Complexities Of Students' Mathematical Identities, Diane Skillicorn Hill Mar 2008

Similar But Different: The Complexities Of Students' Mathematical Identities, Diane Skillicorn Hill

Theses and Dissertations

We, as a culture, tend to lump students into broad categories to describe their relationships with mathematics, such as ‘good at math’ or ‘hates math.’ This study focuses on five students each of whom could be considered ‘good at math,’ and shows how the beliefs that make up their mathematical identities are actually significantly different. The study examined eight beliefs that affect a student's motivation to do mathematics: confidence, anxiety, enjoyment of mathematics, skill level, usefulness of mathematics, what mathematics is, what it means to be good at mathematics, and how one learns mathematics. These five students' identities, which seemed …


How Eighth-Grade Students Estimate With Fractions, Audrey Linford Hanks Mar 2008

How Eighth-Grade Students Estimate With Fractions, Audrey Linford Hanks

Theses and Dissertations

This study looked at what components are in student solutions to computational estimation problems involving fractions. Past computational estimation research has focused on strategies used for estimating with whole numbers and decimals while neglecting those used for fractions. An extensive literature review revealed one study specifically directed toward estimating with fractions (Hanson & Hogan, 2000) that researched adult estimation strategies and not children's strategies. Given the lack of research on estimation strategies that children use to estimate with fractions, this study used qualitative research methods to find which estimation components were in 10 eighth-grade students' solutions to estimation problems involving …