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.

Conceptual Decolonization of Space: Worldview and Language in Anishinaabe Akiing

This dissertation examines the role of worldview and language in the cultural framework of American Indian people. In it I develop a theory of worldview which can be defined as an interrelated set of logics that orients a culture to space (land), time, the rest of life, and provides a prescription for understanding that life. Considering the strong links between language and worldview, it is methodologically necessary to focus on a particular language and culture to decolonize concepts of and relationships to land. In particular, this dissertation focuses on an Anishinaabe worldview as consisting of four components, which are; (1) an intimate relationship to a localized space; (2) a cyclical understanding of time; (3) living in a web of relatedness with all life, and (4) understanding the world around us in terms of balance. The methodological approach draws from Anishinaabemowin, the traditional Anishinaabe language, as a starting place for negotiating a linguistic-conceptual analysis of these logics to decolonize the understandings of land, time, relatedness and balance. This dissertation helps to demonstrate that the religious language as codified in the 1st Amendment to the United States Constitution as religious freedom is unable to carry the meaning of the fundamental relationships to land that are embedded in Anishinaabemowin and culture. I compare the above Anishinaabe worldview to that of the eurowestern culture in America, which is; (1) the domination of space; (2) a linear progression of time; (3) a hierarchical organization of life; and (4) understanding the world as a Manichean battle of good versus evil. This dissertation seeks to decolonize American Indian translational methodologies and undermine the assumptions of eurowestern cultural universality.