This research questions were "how do the characteristics of learning model of logic & algorithm according to APOS theory" and "whether or not these learning model can improve students learning outcomes". This research was conducted by exploration, and quantitative approach. Exploration used in constructing theory about the…

The purpose of the study is to present research focused on validating the four algebra cognitive models in Gierl, Wang, et al., using student response data collected with protocol analysis methods to evaluate the knowledge structures and processing skills used by a sample of SAT test takers.

Discussion of information as a process focuses on a conceptual exercise for calculating the information content of an information process. Topics include Bertram Brookes' fundamental equation; Claude Shannon's mathematical theory of communication; set of a priori alternatives; knowledge structures; and an example of an archaeologist's information…

This analytical paper covers: (1) review of the terrain of information utilization; (2) posits/examines Bertram Brookes' fundamental equation of information science as a theoretical framework, and discuss our understanding of/research into, the cognitive aspects of information utilization, and (3) discusses methodological aspects for investigating…

Conjunctive item response models are introduced such that (a) sufficient statistics for latent traits are not necessarily additive in item scores; (b) items are not necessarily locally independent; and (c) existing compensatory (additive) item response models including the binomial, Rasch, logistic, and general locally independent model are…

Presents two teaching ideas for mathematics instruction. The first employs "mind maps" as a method to help students learn, record, and recall mathematical information. Provides examples for solving quadratic equations and complex numbers. The second discusses two ways to find the average speed during a trip employing differing constant…

Investigated the upper limits of (n=22) seventh-grade students' informal processes in solving first degree equations in one unknown prior to instruction. Results indicated the existence of a cognitive gap between arithmetic and algebra characterized as the students' inability to operate spontaneously with or on the unknown. (37 references)…

A questionnaire measuring affective, conative, and cognitive responses to 3 aspects of Black advancement in the workplace was administered to 128 White English-speaking and 140 Afrikaans-speaking South Africans. Results of confirmatory, single-group, and multigroup analyses of the data indicate that the structures were very similar across the…

The cognitive structure of an algebra test was defined and validated using the linear test model (LLTM) and quadratic assignment (QA) techniques. The LLTM is an extension of the Rasch model with a linear constraint that describes item difficulty in terms of the cognitive operations required to solve the item. The model permits the specification of…

Diagnoses of students' performance on procedural mathematical tasks need to display a certain level of stability and robustness if they are to be used as the basis for remediation, particularly with computer-delivered instruction. The purpose of this study was to compare two diagnostic approaches for describing students' (n=231) errors in algebra…