Effects of Response Format on Difficulty of SAT-Mathematics Items: It's Not the Strategy

Problem-solving strategy is frequently cited as mediating the effects of response format (multiple-choice, constructed response) on item difficulty, yet there are few direct investigations of examinee solution procedures. Fifty-five high school students solved parallel constructed response and multiple-choice items that differed only in the presence of response options. Student performance was videotaped to assess solution strategies. Strategies were categorized as "traditional"–those associated with constructed response problem solving (e.g., writing and solving algebraic equations)–or "nontraditional"–those associated with multiple-choice problem solving (e.g., estimating a potential solution). Surprisingly, participants sometimes adopted nontraditional strategies to solve constructed response items. Furthermore, differences in difficulty between response formats did not correspond to differences in strategy choice: some items showed a format effect on strategy but no effect on difficulty; other items showed the reverse. We interpret these results in light of the relative comprehension challenges posed by the two groups of items.     

Computer assisted counseling — model for the elementary school

Computers are now part and parcel of the instructional process in many elementary schools. In addition to Computer Assisted Instruction, it is possible to utilize the school computer for other educational purposes such as data storage and information retrieval which can conceivably increase the efficiency and effectiveness of the counseling process. The model described in this paper was built so as to provide the school counselor with an instrument which, although based on traditional counseling methods, is immeasurably more accurate in the provision of updated information for diagnostic and other counseling activities and thus contributes to greater counseling efficiency.     

A Developmental Approach to the Education of Young Children

A developmental approach to the curriculum for young children takes into account the principle that what children should learn, and how they can best learn, changes with their age and the experience that comes with age. Several principles of practice emerge from this basic developmental principle. For example, as children grow older, what they learn changes from horizontal to greater vertical relevance. Similarly, the younger the learner, the more is learned through interactive and active processes rather than through passive and receptive processes. In addition, the younger the learner, the greater the urgency of helping them acquire basic social competence, which is very difficult to acquire later on. These developmental principles of practice imply that a curriculum for young children should include the opportunity to work in small groups on extended investigations of real phenomena in the children's own environments.     

Effects of word and morpheme familiarity on reading of derived words

The purpose of this study is to examine factors that influence students’ reading of derived words. Recent research suggests that the lexical quality of a derived word depends on the familiarity of the word, its morphemic constituents (i.e., base word and affixes), and the frequency with which the base word appears in other words (i.e., members of the same word family or family frequency). On the premise that better and more experienced readers have higher quality lexical representations, we explore the extent to which accuracy of reading derived words by 4th and 6th graders is related to measures of familiarity, including derived and base word frequencies, family size, average family frequency, and word length. The results of an exploratory factor analysis indicated that these measures formed two factors, one representing morphemic constitution and the second representing exposure to the word family; both factors accounted for significant variance in the students’ derived word reading. Comparisons of sets of derived words contrasted on familiarity properties showed that performance on derived words, overall, is better for 6th than 4th graders and for good than poor readers. On the measures of family frequency and family size, there were significant discrepancies between grade level and reading ability and frequency characteristics. These add support to the view that morphemic analysis and wide reading experience contribute to derived word reading.     

Advances in the application of information technology to sport performance

This paper overviews the diverse information technologies that are used to provide athletes with relevant feedback. Examples taken from various sports are used to illustrate selected applications of technology-based feedback. Several feedback systems are discussed, including vision, audition and proprioception. Each technology described here is based on the assumption that feedback would eventually enhance skill acquisition and sport performance and, as such, its usefulness to athletes and coaches in training is critically evaluated.     

Professional Identity Development of Teacher Candidates Participating in an Informal Science Education Internship: A focus on drawings as evidence

This study investigated the professional identity development of teacher candidates participating in an informal afterschool science internship in a formal science teacher preparation programme. We used a qualitative research methodology. Data were collected from the teacher candidates, their informal internship mentors, and the researchers. The data were analysed through an identity development theoretical framework, informed by participants’ mental models of science teaching and learning. We learned that the experience in an afterschool informal internship encouraged the teacher candidates to see themselves, and to be seen by others, as enacting key recommendations by science education standards documents, including exhibiting: positive attitudes, sensitivity to diversity, and increasing confidence in facilitating hands‐on science participation, inquiry, and collaborative work. Our study provided evidence that the infusion of an informal science education internship in a formal science teacher education programme influenced positively participants’ professional identity development as science teachers.     

Homework Stress: Construct Validation of a Measure

This article presents 2 studies aimed at validating a measure of stress experienced by children and parents around the issue of homework, applying Benson's program of validation (Benson, 1998 Benson, J. 1998. Developing a strong program of construct validation: A test anxiety example. Educational Measurement: Issues and Practice, 17: 10–17. doi: 10.1111/j.1745–3992.1998.tb00616.x[Crossref] , [Google Scholar]). Study 1 provides external validity of the measure by supporting hypothesized relations between stress around homework and students’ and parents’ positive and negative affect, students’ sense of competence, and students’ type of motivation. In Study 2, the measure was administered to students with and without learning disability—2 groups assumed to differ in the level of stress experienced while doing homework. Results of both studies support the validity of the measure.     

A cognitive analysis of Cauchy’s conceptions of function,continuity, limit and infinitesimal,with implications for teaching the calculus

In this paper, we use theoretical frameworks from mathematics education and cognitive psychology to analyse Cauchy’s ideas of function, continuity, limit and infinitesimal expressed in his Cours D’Analyse. Our analysis focuses on the development of mathematical thinking from human perception and action into more sophisticated forms of reasoning and proof, offering different insights from those afforded by historical or mathematical analyses. It highlights the conceptual power of Cauchy’s vision and the fundamental change involved in passing from the dynamic variability of the calculus to the modern set-theoretic formulation of mathematical analysis. This offers a re-evaluation of the relationship between the natural geometry and algebra of elementary calculus that continues to be used in applied mathematics, and the formal set theory of mathematical analysis that develops in pure mathematics and evolves into the logical development of non-standard analysis using infinitesimal concepts. It suggests that educational theories developed to evaluate student learning are themselves based on the conceptions of the experts who formulate them. It encourages us to reflect on the principles that we use to analyse the developing mathematical thinking of students, and to make an effort to understand the rationale of differing theoretical viewpoints.