Validation of the Item-Attribute Matrix in TIMSS-Mathematics Using Multiple Regression and the LSDM

The purposes of this study were (1) to validate of the item-attribute matrix using two levels of attributes (Level 1 attributes and Level 2 sub-attributes), and (2) through retrofitting the diagnostic models to the mathematics test of the Trends in International Mathematics and Science Study (TIMSS), to evaluate the construct validity of TIMSS mathematics assessment by comparing the results of two assessment booklets. Item data were extracted from Booklets 2 and 3 for the 8th grade in TIMSS 2007, which included a total of 49 mathematics items and every student's response to every item. The study developed three categories of attributes at two levels: content, cognitive process (TIMSS or new), and comprehensive cognitive process (or IT) based on the TIMSS assessment framework, cognitive procedures, and item type. At level one, there were 4 content attributes (number, algebra, geometry, and data and chance), 3 TIMSS process attributes (knowing, applying, and reasoning), and 4 new process attributes (identifying, computing, judging, and reasoning). At level two, the level 1 attributes were further divided into 32 sub-attributes. There was only one level of IT attributes (multiple steps/responses, complexity, and constructed-response). Twelve Q-matrices (4 originally specified, 4 random, and 4 revised) were investigated with eleven Q-matrix models (QM1 ~ QM11) using multiple regression and the least squares distance method (LSDM). Comprehensive analyses indicated that the proposed Q-matrices explained most of the variance in item difficulty (i.e., 64% to 81%). The cognitive process attributes contributed to the item difficulties more than the content attributes, and the IT attributes contributed much more than both the content and process attributes. The new retrofitted process attributes explained the items better than the TIMSS process attributes. Results generated from the level 1 attributes and the level 2 attributes were consistent. Most attributes could be used to recover students' performance, but some attributes' probabilities showed unreasonable patterns. The analysis approaches could not demonstrate if the same construct validity was supported across booklets. The proposed attributes and Q-matrices explained the items of Booklet 2 better than the items of Booklet 3. The specified Q-matrices explained the items better than the random Q-matrices.

Developing an Interdependent Relationship between Preservation and Recreation: Managing Mountain Bicycling in National Parks

Increasing demand from mountain bikers for greater access to riding in National Park Service (NPS) units is driving the need for park managers to seriously look at the impacts from and feasibility of permitting this recreational use. Currently, NPS units that permit mountain bicycling do not have formal mountain bicycling management plans. An analysis of recreational policies and existing research was conducted to identify criteria for effective mountain bicycling management strategies. Criteria were developed for trail selection, establishment, use, closures and rehabilitation. Criteria were also developed for user education, participatory planning and monitoring. This study shows that the NPS needs formal mountain bicycling management plans that focus on the preservation of natural and cultural resources and consider the appropriateness of proposed recreational uses.

Islamic Political Thought: Reviving a Rationalist Tradition

This work develops the foundations of an Islamic argument for secular, liberal democracy from within the Islamic discursive tradition. First, it challenges the presentation of contemporary Islamic political thought as a unified, continuous development of the classical canon by showing the influence of the now marginalized medieval rationalists in the development of Islamic political thought. The classical rationalist concern with divine justice forced the founders of Sunni orthodoxy to state their epistemologies and their positions on ethical ontology. The orthodox positions, and their related methods of legal-juristic reasoning, are shown to be incapable of accommodating the modern Islamic positions on political representation, slavery, and just war. This leads to the second argument of the work, that the modern Islamic discourse is better understood as a reflection of the central concern with justice and its rationalist epistemology and ethical ontology we find in the writings of classical rationalists. This argument is made by examining the works of three classical rationalists, a theologian, a philosopher, and a historian. Their political positions, shaped by their rationalism and concern with justice, challenged their orthodox contemporaries, and provide substantive critiques of the classical political accommodations, methods of politico-legal reasoning, and hence, of modern Islamist political projects. The final chapter reveals how far the mainstream of Islamic political thought has deviated from the classical discourses, since the 19th century, by adopting the language and ideals of the European Enlightenment. This shift is presented as a triumph of classical rationalism over literalism, whose epistemological foundations and ontological implications have yet to be acknowledged and appreciated.