The current study examined verbal and non-verbal problem skills in twenty-seven male children 10-16 years of age, twelve with autism and fifteen children who were neurotypical. The goal of this study was to assess problem solving abilities of children with autism when compared to gender and age matched peers. The twenty-seven participants completed two assessments of the Rapid Assessment of Problem Solving and one online assessment of Raven’s Standard Progressive Matrices. Results of this study showed a .92 reliability of the RAPS for all twenty-seven participants. Correlation between the RAPS and RPM was .419 for all participants. The results of this study indicate a decreased ability to problem solve in children with autism when compared to their neurotypical age and gender matched peers. This study also indicated an increase from verbal problem solving to non-verbal problem solving in children with autism, indicating difficulty with the cognitive load required to solve problems verbally.

Many students who are proficient with basic math facts struggle for understanding when it comes to word problems. Teachers time and time again teach and re-teach problem solving strategies in hope that their students will one day acquire all the skills necessary to become proficient in this area. Unfortunately understanding problem solving skills is not the only answer to solving word problems. There has been a significant amount of evidence linking reading comprehension to mathematical reasoning. The development of a website to assist teachers and students who are having difficulties with mathematical word problems is extremely beneficial. The website is designed with links, power points, and examples that enhance reading comprehension within mathematical word problems. Through this project, it has been determined that students who are exposed to an additional mathematical program related to breaking apart word problems show evidence of a greater understanding and mastery of solving mathematical word problems.

Problem-solving abilities of individuals with aphasia have received limited attention in their assessment and remediation. At this time, there is substantially more information available on the linguistic performance of persons with aphasia than on their cognitive processing performance. Assessment of problem-solving abilities in this population has typically used tasks with low verbal loadings. However, both linguistic and cognitive competence are required for effective communication and activities of daily life. The purpose of the present study was to determine if mild-to-moderate subjects with aphasia differed in their question-asking strategies as compared with normal subjects. A modification of Mosher and Hornsby's (1966) Twenty Questions task was used. The Twenty Questions task is considered a verbal problem-solving task that requires a cognitive strategy. Subjects were 12 adults with mild-to-moderate aphasia recruited from the out-patient intervention groups at the Portland Veterans Affairs Medical Center and 12 non-brain-injured adult controls from the Portland community. The experimental task required subjects to ask "yes" or "no" questions to identify a target item that the examiner was thinking of in a JO-picture array. Items in the array were selected from common categories of transportation, furniture, tools, animals, foods, and clothing. Subjects were told that the object of the "game" was to use as few questions as possible to guess the item the examiner was thinking of. Subjects were administered the experimental task three times. Aphasic subjects were found to be significantly impaired in their use of question-asking strategies. They needed significantly more questions to identify target items than the normal controls. Their question-asking strategies used significantly fewer and less efficient constraint seeking questions than normal subjects. Some aphasic subjects used no constraint-seeking questions at all, but only hypothesis-scanning questions that targeted only one item. These results are consistent with the question-asking strategies of other brain-injured populations as assessed by the Twenty Questions task. Results suggested that individuals with aphasia may have cognitive difficulties in addition to their specific linguistic impairments.

ABSTRACT This cross-case study of building and district administrators was designed to describe and explain the experience of elementary school administrators implementing a Problem-Solving Team (PST), the core feature of a Multi-Tiered System of Supports (MTSS) framework. The Multi-Tiered System of Support Problem-Solving Team (MTSS-PST) organizes the review of student learning data to identify problems, apply solutions, and evaluate progress towards grade level learning outcomes (Cook, Burns, Browning-Wright, & Gresham, 2010; Eagle et al., 2015; Gamm et al., 2012; Tilly, 2008). Outside of the MTSS framework, the PST is recognized as a best practice approach to identifying and implementing academic and social emotional interventions to improve learning outcomes (Algozzine et al., 2014; Burns & Symington, 2002; Doll et al., 2005; Shinn, 2005). Contemporary policy implementation research frames MTSS-PST as complex educational policy whose implementation is contingent upon, and situated by, interactions between the people implementing it, the policy itself, and the place where implementation occurs (Honig, 2006). There is little research, however, on MTSS-PST implementation. This study was designed to add to scholarly understanding of the MTSS-PST implementation process by examining how and why school building-level administrators were thinking about and planning for it. Analysis of the data revealed the following: (a) MTSS-PST implementation is understood by building-level administrators as an essential component in fulfilling the school district’s K-12 directive to reduce special education referrals with a Multi-Tiered System of Support framework; (b) Building-level administrative thinking and planning for MTSS-PST implementation is focused on reorganizing and improving how the school’s support team sorts students for support services; (c) Building administrator’s implementation decision-making is influenced by the simultaneous feeling of relief and burden brought on by the early success of implementation and the significant challenges it faces due to limited planning and resources. Analysis also showed that implementation is rooted in a transactional approach to change focused entirely on meeting districtwide objectives to increase the efficiency and efficacy of the school’s teaching and learning services with no reference to the transformative potential cited in the research literature. Lastly, analysis of the findings revealed that more than 70 different interactions that occurred between people, policy, and place shaped the MTSS-PST implementation process demonstrating that implementation of this policy is both situated and contextual.

Few studies exist that examine Latino romantic relationships; even fewer assess interpersonal power among romantically involved Latino adolescent couples. This observational study investigated interaction, negotiation of power, and communication styles of Latino adolescents in current romantic relationships. Twenty-nine participating couples (ages 14-21) were recruited from a small Rocky Mountain community; all identified as being of Latino decent. Couples were digitally videotaped during problem solving conversations and completed a video recall procedure administered directly 11 following the recording. The Quality of Relationship Inventory (QRI) was completed by all couple members as a measure of their overall relationship quality. In addition to this, the Global Assessment Scale (GAS), which measured feelings of honesty, being attacked, misunderstood, and conversation control was administered to each couple member after videotaping. The video recall procedure captured positive and negative aspects of interaction, negotiation of power, and skillfulness in problem solving. Power dynamics for each conversation were also rated by an outside observer on dominance through talking and dominance through not listening scale. Overall, these couples rated their relationship quality positively and viewed their own and partner's behavior positively as well. Low levels of dominance through talking and dominance through not listening were observed to be used by couple members as a means to handle conflict during the conversation. The majority of the couples were observed to be mutually engaged in the conversations and appear to have good problem solving skills. However, higher ratings of power inequity by both couple members and observers were linked to lower overall relationship quality, with differing patterns of correlation for male and female couple members.

Research on analogical problem solving has delineated several factors that impact one's ability to spontaneously generate a correct solution strategy to a target problem. These factors include, but are not limited to, type of analogy provided to subjects (i.e., partial versus complete), the level of isomorphism between analogies and target problems, and the solver's level of analogical problem-solving expertise Recently, researchers have begun to focus on providing solvers with direct instruction on analogical problem-solving processes and strategies in an effort to augment analogical problem-solving ability. The most common type of instruction (i.e., teacher-generated) involves providing direct instruction on problem-solving processes and strategies without input from the solver. A second type of instruction (i.e., learner-generated) that has gained some attention in the literature but has not yet been tested in the realm of analogical problem solving involves learners actively participating in developing analogical problem-solving strategies while being guided by the instructor. Using an experimental design. the present study examined the differential effects of type of analogue (i.e., partial versus complete), level of expertise (i.e., novice versus expert). and type of training (teacher-generated, learner-generated, or no training) on spontaneous generation of correct solution strategies to two target problems. Findings indicate that solvers. regardless of training group or ability level. were better able to solve the target problem to the complete analogies than the target problem to the partial analogies. x2 (1, N = 116) = 18, p < .001; d = .85. Moreover, there was no advantage for expert solvers to participate in problem-solving training. However. when examining novice solvers. findings indicate that direct instruction on problem-solving processes and strategies resulted in better performance when solving the partial analogy than did no instruction (d = .61). Also, active participation in the learning process resulted in better performance when solving the partial analogy than did no instruction (d = .80). Limitations of the study, implications for educators, and recommendations for future studies are provided.

Computer simulation and animation (CSA) has been receiving growing attention and wide application in the engineering education community. The goal of this dissertation research was to improve students' conceptual understanding and procedural skills for solving particle dynamics problems, by developing, implementing and assessing 12 interactive computer simulation and animation learning modules. The developed CSA learning modules integrate visualization with mathematical modeling to help students directly connect engineering dynamics with mathematics. These CSA modules provide a constructivist environment where students can study physical laws, demonstrate mental models, make predictions, derive conclusions, and solve problems. A mixed-method research was conducted in this study: quasi-experimental method (quantitative), and survey questionnaires and interviews (qualitative and quantitative). Quasi-experimental research involving an intervention group and a comparison group was performed to investigate the extent that the developed CSA learning modules improved students' conceptual understanding and procedural skills in solving particle dynamics problems. Surveys and interviews were administrated to examine students' learning attitudes toward and experiences with the developed CSA learning modules. The results of quasi-experimental research show that the 12 CSA learning modules developed for this study increased students' class-average conceptual and procedural learning gains by 29% and 40%, respectively. Therefore, these developed CSA modules significantly improved students' conceptual understanding and procedural skills for solving particle dynamics problems. The survey and interview results show that students had a positive experience with CSA learning.

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Abstract This study is concerned with the ways mathematical understanding emerges when mathematical phenomena are encountered through digital pedagogical media, the spreadsheet, in particular. Central to this, was an examination of the affordances digital technologies offer, and how the affordances associated with investigating mathematical tasks in the spreadsheet environment, shaped the learning trajectories of the participants. Two categories of participating students were involved, ten-year-old primary school pupils, and pre-service teachers. An eclectic approach to data collection, including qualitative and quantitative methods, was initially undertaken, but as my research perspective evolved, a moderate hermeneutic frame emerged as the most productive way in which to examine the research questions. A hermeneutic process transformed the research methodology, as well as the manner in which the data were interpreted. The initial analysis and evolving methodology not only informed this transition to a moderate hermeneutic lens, they were constitutive of the ongoing research perspectives and their associated interpretations. The data, and some that was subsequently collected, were then reconsidered from this modified position. The findings indicated that engaging mathematical tasks through the pedagogical medium of the spreadsheet, influenced the nature of the investigative process in particular ways. As a consequence, the interpretations of the interactions, and the understandings this evoked, also differed. The students created and made connections between alternative models of the situations, while the visual, tabular structuring of the environment, in conjunction with its propensity to instantly manage large amounts of output accurately, facilitated their observation of patterns. They frequently investigated the visual nature of these patterns, and used visual referents in their interpretations and explanations. It also allowed them to pose and test their informal conjectures and generalisations in non-threatening circumstances, to reset investigative sub-goals easily, hence fostering risk taking in their approach. At times, the learning trajectory evolved in unexpected ways, and the data illustrated various alternative ways in which unexpected, visual output stimulated discussion and extended the boundaries of, or reorganised, their interaction and mathematical thinking. An examination of the visual perturbations, and other elements of learning as hermeneutic processes also revealed alternative understandings and explanations. Viewing the data and the research process through hermeneutic filters enhanced the connectivity between the emergence of individual mathematical understanding, and the cultural formation of mathematics. It permitted consideration of the ways this process influences the evolution of mathematics education research. While interpretive approaches are inevitably imbued with the researcher perspective in the analysis of what gets noticed, the research gave fresh insights into the ways learning emerges through digital pedagogical media, and the potential of this engagement to change the nature of mathematics education.