STUDENTS' UNDERSTANDING OF ALGEBRAIC NOTATION: 11–15

Research studies have found that the majority of students up to age 15 seem unable to interpret algebraic letters as generalised numbers or even as specific unknowns. Instead, they ignore the letters, replace them with numerical values, or regard them as shorthand names. The principal explanation given in the literature has been a general link to levels of cognitive development. In this paper we present evidence for specific origins of misinterpretation that have been overlooked in the literature, and which may or may not be associated with cognitive level. These origins are: intuitive assumptions and pragmatic reasoning about a new notation, analogies with familiar symbol systems, interference from new learning in mathematics, and the effects of misleading teaching materials. Recognition of these origins of misunderstanding is necessary for improving the teaching of algebra.     

The Importance of Making the Well-Being of Children in Poverty a Priority

Hurricane Katrina exposed to the world the side of America that is often ignored or forgotten—the side of America where people live in poverty and struggle to meet their most basic needs. This article focuses primarily on children in Mississippi and highlights the effect that poverty has on children’s well-being at an early age and future academic success. It also provides evidence for the importance of funding high-quality pre-k programs and parental training to ensure they begin the process of preparing their children for success, not only in Mississippi but in the other states that are leaving their children behind. Finally, with the reauthorization of No Child Left Behind in 2007, recommendations are made for refocusing the premise of the law from accountability and high stakes testing to meeting the needs of all children so they can truly be successful in school.     

Outcomes of first year secondary students in a computer‐augmented physics program on measurement

Measurement is a foundational topic in secondary school physics that must be taught to all beginning secondary education students in Kenya. The secondary level offers education for students who are aged between 12‐ and 18‐years‐old. Physics teachers in the Rift Valley province identified the topic of measurement as an area that is difficult to teach through traditional methods. This study explored the effectiveness of a computer‐augmented physics (CAP) program on teaching the topic of measurement to first year secondary students. A total of 118 secondary education students (65 males and 53 females) participated in the study. They were randomly selected and randomly assigned to three similar classrooms situated in three schools easily accessible by the Njoro‐Menengai and Nakuru‐Marigat roads better and served as the treatment and control groups. Except for the treatment group, all groups received the same course content for a period of six weeks. The findings of the study affirmed the impact of innovation on the students’ learning outcomes in that the mean gains of the participants in the CAP treatment were significantly higher than that of their counterparts in the regular program. Also, the results indicated that the mean differences between the experimental group and the control group were statistically significant in favour of the treatment group. The findings also showed no relationship between the participants’ gender and their learning outcomes. The study concludes that the use of the computer to augment conventional physics teaching has major implications for secondary physics in this area.     

Acquisition and extinction of differential responses to signals paired with shock or shock omission in goldfish: Evidence for truly discriminated avoidance learning

Goldfish trained to discriminate between signals paired with shock (S?) and signals paired with shock omission (S+) with a linear presentation procedure, originally learned (OL) to control the signal state of a shuttle box and showed a decided preference for the S+ signal. In Experiment 1, following OL, groups had one OL signal replaced (S+ or S?), both signals replaced (S+ and S?), or the OL signals reversed (S+ and S? reversed) and were then tested in a transfer training procedure. In transfer, groups with one signal replaced maintained discriminated performance at OL levels; the S+ replaced group was slightly superior to the S? replaced group on the first day of transfer. With both OL signals replaced, discrimination dropped to chance performance levels, whereas, with OL signal shock pairing reversed, discrimination performance dropped below chance levels. In Experiment 2, following OL, extinction procedures consisted of turning off the shocker (0% shock) or of shocking 100% or a random 25% of the trials. A fourth extinction procedure (R,) retained the trial start response-dependent shock-omission contingency, but shock differentiating the S+ and S? signals was eliminated entirely. Extinction of the S+/S? discrimination was measured both during extinction training per se and with reversal retraining of the S+/S? discrimination later. Groups for which the OL S+ was paired with shock during extinction extinguished on both measures, but groups for which the OL S? was paired with shock omission did not extinguish, especially as shown by the reversal test procedure. Theoretical implications and the implications for several conditioning procedures are discussed.     

Linguistic and Cultural Appropriations of an Immigrant Multilingual Literacy Teacher Educator

This autoethnographic self-study describes my interpretations of multicultural awareness, with special attention to multilingual awareness (MLA), based on my interactions with 52 students in the context of two literacy courses over a period of one year. An autoethnographic self-study provided an avenue to harness my reflections on practice and to study the ways in which my practice reflected awareness of my role as an educator. Findings from my teaching videos, written responses to students, and student evaluations suggested that my communication patterns with students reflected certain elements of multicultural awareness, as displayed by my attention to individual predispositions, cultural practices and personal stereotypes. The findings also appeared to indicate that multicultural and MLA interacted to reflect facilitation and symbiosis. Facilitation seemed apparent in my awareness of differences among students’ cultures and my own as I monitored my linguistic processing. Symbiosis appeared to emanate from the recognition of how my response to individual predispositions facilitated my application of conversational strategies based on feedback. This, in turn, heightened my attention to stereotypical attitudes and behaviors. Implications for multicultural teacher education include the benefits of using autoethnographic self-study to scrutinize educators’ awareness in practice as they determine the impact of this awareness on their instructional roles in multicultural teacher education. By extension, the study suggests that autoethnographic self-study research can provide additional lenses through which to interrogate monolithic perceptions of diversity in multicultural teacher education.     

What time-series designs may have to offer educational researchers

The promise of time-series designs for educational research and evaluation is reviewed. Ten time-series designs are presented and discussed in the context of threats to internal and external validity. The advantages and disadvantages of various visual and statistical data-analysis techniques are presented. It is argued that time-series research paradigms are useful when researchers (a) wish to involve a single subject in experimental research (individuals as units of analysis) or conduct program-evaluation studies (aggregates as units of analysis), (b) are interested in nearly continuous measurement, (c) cannot meet conventional design and statistical assumptions, or (d) wish to specify individual differences through N = 1 research strategies. It is also suggested that more research endeavors be devoted to combining unique characteristics of time-series research with conventional multi-unit paradigms.     

Enhancing comprehension in small reading groups using a manipulation strategy

Having young readers manipulate objects to correspond to the characters and actions in a text greatly enhances comprehension as measured by both recall and inference tests. As a step toward classroom implementation, we applied this manipulation strategy in small (three-child) reading groups. For successive critical sentences, one child would read the sentence aloud and then manipulate the objects, then the next child would read and manipulate, and so on. Children in a reread control condition also alternated reading the text. For the reread condition, one child would read the critical sentence and then reread it, followed by the next child, and so on. Children who manipulated were substantially more accurate in answering questions about the texts. Thus, the manipulation strategy meets at least some of the criteria for being applicable in a classroom setting, namely it is effective when applied in small groups.     

The pedagogical benefits of enacting positive psychology practices through a student–faculty partnership approach to academic development

Academic development that supports the enactment of positive psychology practices through student–faculty pedagogical partnership can increase faculty confidence and capacity in their first year in a new institution. When student partners practice affirmation and encouragement of strengths-based growth, processes of faculty acclimation and self-authoring can be accelerated. This article presents a student–faculty pedagogical partnership program and positive psychology practices that focus on faculty strengths and capacities as the foundation for reinforcing and revising existing pedagogical strategies and for sustaining energy for continued development. It combines collaborative autoethnographic and comparative case study approaches to investigate the pedagogical benefits of these practices.     

Alternative conceptions in animal classification: A cross-age study

Employing a cross-age design, this study examined students' alternative conceptions in animal classification at the elementary, secondary, and college levels. Based on a previous study that made use of clinical interviews and a classification task, subjects (N = 468) were administered a multiple-choice/free-response instrument that probed understanding of the concept animal, the vertebrate/invertebrate distinction, and the principal vertebrate classes. Results suggest that students subscribe to a highly restricted view of animals; applying the label almost exclusively to vertebrates, especially to common mammals. When asked to distinguish between vertebrate and invertebrate animals and to classify several species into vertebrate groups, a wide range of alternative conceptions emerged. Cross-age comparisons indicate that many of these alternative views remain intact throughout the school years, while others yield more readily to formal instruction and/or nonschool experiences. Considered within the context of a neoconstructivist view of learning, several suggestions are offered for teaching concepts in animal classification.     

Tablet computers in Philippine public schools: school-level factors that influence technology management and use

Many developing countries are investing in large-scale initiatives to deploy information and communications technology in schools. However, merely equipping schools with hardware and software does not guarantee that the technology is used effectively to improve learning outcomes. This study aims to identify factors that influence the use of technology in schools in a developing-country context. It investigates this through a multiple-case study of the Australian AID tablet computer programme in the Philippines, in which 1000 tablets were given to nine public schools for student use. Focusing specifically on the impact at a whole-school level, the study revealed factors affecting outcomes that were specific to a developing-country context, as well as confirming the relevance of more general factors identified in the literature. The study also brings to light tablet-specific benefits and issues in this context. These results have implications for the effective school-level implementation of technology programmes in developing countries. Recommendations that proceed from these are presented for policy-makers and school administrators looking to use these devices in schools.