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This study compared two representations for teaching fraction equivalence. It traced the implications of both representations on the student’s comprehension of fractions as well as their ability to perform operations with fractions. The participants in the study included 65 sixth grade students in three extant classrooms. Two classes were instructed using the textbook representation while the third class received instruction using a representation presented by Van de Walle and recommended by the National Council for Teaching Mathematics. Data were collected from pre-tests, post-tests, student work samples, field notes and a semi-structured interview. Qualitative analyses were used to analyze the data. Items were coded for procedural and conceptual understanding and categorized into levels of proficiency. Additionally, items involving operations with fractions were coded for error patterns. Conclusions were drawn about how the different representations affected student comprehension and faculty with fractions.

In many digital signal processing applications, we often need some special function units that can compute complicated arithmetic functions such as reciprocal, square-root, base-2 logarithm, power of 2, trigonometric functions, etc. The most popular design approaches to compute these single-value functions are based on look-up tables (LUT) with interpolation. In general, there are two different types of LUT-based method: piecewise and multipartite. As the required bit accuracy increases, the size of LUT increases exponentially. In this thesis, we will develop a generator that can automatically synthesize suitable hardware to compute these special arithmetic functions given the required bit accuracy. In particular, higher-order piecewise method will be supported to reduce the table size for high-accuracy applications. The synthesized arithmetic units are used in the design of a vertex shader for 3D graphics application.

No description available.

Thesis (M. Ed.)--University of Hong Kong, 2001. / Includes bibliographical references (leaves 147-156).

Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 1990. / Thesis Advisor(s): Read, Robert R. ; Dryer, David A. Second Reader: Whitaker, Lyn R. "September 1990." DTIC Descriptor(s): Army Training, Combat Information Centers, Organizations, Training, Battalion Level Organizations, Battlefields, Task Forces, Attack, Missions, Standards, Graphics, Military Training, Archives, Combat Forces, Discriminate Analysis, Doctrine, Frequency, Data Processing. DTIC Identifier(s): National Training Center, Army Operation. Author(s) subject terms: National Training Center, Deliberate Attack, Operational. Description based on title screen as viewed on Dec. 22, 2009. Includes bibliographical references (p. 82). Also available in print.

Thesis (Ph. D.)--Open University. BLDSC no. DX74918/87. / Consultation copy in 2 volumes.

Thesis--PlanB (M.S.)--University of Wisconsin--Stout, 2002. / Includes bibliographical references.

Thesis (Ph.D.)--University of California, San Francisco, 2009. / Source: Dissertation Abstracts International, Volume: 70-04, Section: A, page: 1434. Adviser: Carroll Estes.

Thesis (M. Phil.)--University of Hong Kong, 2001. / Includes bibliographical references (leaves 89-92).