Assessing problem solving in mathematics: Some variables related to student performance

A mathematical problem is defined here as a question not dependent on specific syllabus content, and one sufficiently new to the student such that it cannot be solved by a previously known method. With increased attention being paid to this type of mathematical problem solving at the primary school level, the need for reliable and valid methods of assessment has become more apparent. This paper reports the results of using a new problem solving test, developed for use in the upper primary school, with 371 students in Years 4,5 and 6 at government schools in Melbourne. Particular attention is given to the effects of year level, sex and the method of test administration on student performance for different types of items and different problem solving processes. The performance of Year 4 students was generally lower than that of other students, but differences were small for most items and processes between Years 5 and 6. Although most of the differences in performance between the sexes were not significant, the girls had higher scores than the boys for the total score, for all processes and for all items except the spatial item. The method of administration was important for performance, especially for the girls. The marking schedule developed enabled high intra- and inter-marker reliabilities to be obtained.     

Putting out Fire with Gasoline: Testing the Gamson Hypothesis on Media Reliance and Political Activity

This study extends the Gamson Hypothesis, which asserts that trust and self-efficacy affect political activity, by examining how reliance on mainstream and alternative sources of political information interact with trust, self-efficacy, and political activity. Overall, this study supports the Gamson Hypothesis: Dissidents (those high in self-efficacy and low in political trust) are more likely to protest the government than Assureds (high levels of trust and efficacy), who are more likely to engage in more conventional political activities. Dissidents avoid online newspapers and broadcast news sites and instead turn to more polarizing sources, such as radio talk shows and political blogs. On the other hand, Assureds rely on mainstream sources such as broadcast television online and avoid more partisan sources such as political Web sites and talk radio.     

Across the Great Divide: How Partisanship and Perceptions of Media Bias Influence Changes in Time Spent with Media

This study of media use during the 2012 presidential election examines whether online use, partisanship, and perceptions of media bias predict time spent with traditionally delivered media. Traditional media lost ground to online sources. Moreover, Obama supporters spent more time with liberal media, Romney backers with conservative media, and regardless of support, attention to neutral media increased. Respondents who thought the media were biased against Obama spent less time with conservative media and more with liberal ones and neutral CNN, while those who judged the media as hostile to Romney spent little time with liberal and neutral media.     

Finding and using patterns in linear generalising problems

Linear generalising problems are questions which require students to observe and use a linear pattern of the formf(n)=an+b withb0. This study reports responses of students aged between 9 and 13 to these questions, documenting the mathematical models that they select, the strategies used in implementing them and the explanations they give. Substantial inconsistency of choice of model is observed; students who began a question correctly frequently adopted a simpler but incorrect model for more difficult parts of the question. Students who had undertaken a course in problem solving implicitly used a linear model more frequently and consistently and their explanations more often related the spatial patterns and the number patterns. They seemed to understand the relationship between the data and the generalising rule more completely.     

Critical Thinking Ability and Teacher Effectiveness

Research on teacher thinking in the last fifteen years supports the hypothesis that being an effective critical thinker (as defined by Ennis) would make a major contribution to being an effective teacher. Ennis’ conception of critical thinking incorporates various dispositions and abilities, while his Cornell Critical Thinking Test Level X provides a measure of four crucial abilites. The teacher thinking research suggests that each of these four abilities is central to effective teaching. The four abilities are: (1) inductive thinking; (2) judging credibility of observation reports; (3) deductive thinking; and (4) assumption identification. Research findings about teacher thinking fall into three main categories: (a) implicit theories; (b) planning and reflection; and (c) dilemmas and uncertainty.

The first half of the paper shows how a teacher's performance and capacity to deal effectively with (a)‐(c) depend significantly on using the abilities (1)‐(4). If this is so then highly effective teachers should score significantly better on Ennis’ Cornell Critical Thinking Test (Level X) than do teachers as a whole. Hence scores on this test for a large sample of vocational teachers were compared with the scores of vocational teachers whose teaching performance has been judged as excellent by their teacher educators. The second half of the paper reports and discusses the results of testing the hypothesis and the implications for teacher education.     

Implementing a comprehensive behavioral health model for social,emotional, and behavioral development in an urban district: An applied study

Urban communities are disproportionality impacted by issues such as community violence, leaving children at higher risk of trauma, and increased adverse childhood experiences. This applied study addresses a research-to-practice gap by demonstrating the longitudinal impact of a district-initiated, school-wide multitiered systems of support approach to universal instruction, intervention, and assessment—the Comprehensive Behavioral Health Model. Results from more than 1200 students over a 3-year period indicate that this universal, integrated approach is associated with improved outcomes for students with a demonstrated level of risk, with the greatest impact on students with risk of internalizing behaviors. The findings of this applied study highlight the benefits of a systemic approach and enhance the discourse on robust universal screenings that can identify needs and assets of children within urban communities.